Free Printable Week 6 Placeholder

1.

Change 56% to a decimal

a)

.56

b)

56

c)

5.6

d)

.056

2.

Change .384 to a percent

a)

384%

b)

38.4%

c)

.00348%

d)

3.84%

3.

Convert the fraction 7/10 to a decimal.

a)

0.17

b)

0.27

c)

0.07

d)

0.7

4.

Convert the decimal 0.8 to a fraction.

a)

4/5

b)

2/5

c)

3/4

d)

1/2

5.

Convert the fraction 3/4 to a decimal.

a)

0.5

b)

0.25

c)

0.75

d)

1.25

6.

Convert the fraction 2/5 to a decimal.

a)

0.2

b)

0.4

c)

0.6

d)

0.5

7.

Convert the fraction 1/3 to a decimal.

a)

0.3333333333333333...

b)

0.3

c)

0.33

d)

0.333

8.

Convert the fraction 4/9 to a decimal.

a)

0.445

b)

0.4445

c)

0.444

d)

0.4444...

9.

Convert the decimal 0.6 to a fraction.

a)

1/2

b)

2/3

c)

3/5

d)

4/5

10.

Convert the decimal 0.25 to a fraction.

a)

1/2

b)

1/8

c)

3/4

d)

1/4

11.

Convert the decimal 0.8 to a fraction.

a)

4/5

b)

2/5

c)

3/4

d)

1/2

12.

Convert the decimal 0.125 to a fraction.

a)

1/32

b)

1/8

c)

1/16

d)

1/4

13.

Convert the decimal 0.7 to a fraction.

a)

7/10

b)

3/5

c)

2/3

d)

1/2

14.

Convert the decimal 0.6 to a fraction.

a)

3/5

b)

2/5

c)

1/2

d)

3/4

15.

Convert the fraction 3/4 to a decimal.

a)

0.75

b)

0.5

c)

0.25

d)

0.3

16.

Convert the following decimal to a fraction and simplify: 0.75

a)

3/4

b)

1/2

c)

2/3

d)

5/8

17.

Convert the following decimal to a fraction and simplify: 0.2

a)

1/5

b)

1/4

c)

1/3

d)

1/2

18.

Convert the following decimal to a fraction and simplify: 0.4

a)

2/5

b)

1/2

c)

3/8

d)

4/9

19.

Convert the following decimal to a fraction and simplify: 0.125

a)

1/8

b)

1/4

c)

1/2

d)

3/8

20.

Convert the following decimal to a fraction and simplify: 0.6

a)

3/5

b)

2/3

c)

1/2

d)

4/7

21.

Convert the following decimal to a fraction and simplify: 1.5

a)

3/2

b)

2/3

c)

5/4

d)

1/3

22.

Convert the following decimal to a fraction and simplify: 2.25

a)

9/4

b)

5/2

c)

7/3

d)

8/5

23.

Convert the following decimal to a fraction and simplify: 0.8

a)

4/5

b)

3/4

c)

2/3

d)

5/6

24.

Convert the following decimal to a fraction and simplify: 0.03

a)

3/100

b)

1/30

c)

3/10

d)

1/3

25.

Convert the following decimal to a fraction and simplify: 3.6

a)

18/5

b)

36/10

c)

9/2

d)

72/20

26.

Convert the following decimal to a fraction and simplify: 0.9

a)

9/10

b)

1/2

c)

3/4

d)

4/5

27.

Convert the following decimal to a fraction and simplify: 0.03

a)

3/100

b)

1/30

c)

3/10

d)

1/3

28.

Convert the following decimal to a fraction and simplify: 0.875

a)

7/8

b)

3/4

c)

5/6

d)

9/10

29.

Convert the following decimal to a fraction and simplify: 0.66

a)

33/50

b)

2/3

c)

3/5

d)

5/8

30.

Convert the following decimal to a fraction and simplify: 0.07

a)

7/100

b)

1/14

c)

3/50

d)

7/10

31.

Convert 70% to a decimal.

a)

.07

b)

.70

c)

.007

d)

.01

32.

Convert 12% to a decimal.

a)

1.12

b)

12.09

c)

.12

d)

.09

33.

Convert 55% to a decimal.

a)

.55

b)

.055

c)

.05

d)

.035

34.

Convert 60% to a decimal.

a)

.06

b)

.006

c)

.60

d)

.12

35.

Convert 3% to a decimal.

a)

.03

b)

.30

c)

.05

d)

.06

36.

Convert 9% to a decimal.

a)

.09

b)

.90

c)

.12

d)

.95

37.

Change 37% to a decimal.

a)

3.7

b)

37

c)

.37

d)

37.00

38.

Change 125% to a decimal.

a)

1.25

b)

12.5

c)

125

d)

1250

39.

What is 44% as a decimal?

a)

.044

b)

44

c)

.44

d)

4.4

40.

What is 1% as a decimal?

a)

.1

b)

.01

c)

.001

d)

.0001

41.

What is 3% as a decimal?

a)

.3

b)

30

c)

3.0

d)

.03

42.

Convert 15% into a decimal

a)

.15

b)

1.5

c)

15

d)

.51

43.

Convert 3.5% to a decimal.

a)

3.5

b)

350

c)

.35

d)

.035

44.

Change 7.25% to a decimal.

a)

7.25

b)

72.5

c)

0.725

d)

0.0725

45.

Change 100% to a decimal.

a)

.0100

b)

10.0

c)

1.00

d)

0.001

46.

Change 4% to a decimal.

a)

.04

b)

.004

c)

.4

d)

4

47.

Convert 31% to a decimal.

a)

3.1

b)

0.031

c)

0.31

d)

310

48.

Express 56% as a decimal.

a)

0.056

b)

5.6

c)

0.56

d)

0.0056

49.

Write 6% as a decimal.

a)

6

b)

0.6

c)

0.06

d)

0.006

50.

Convert 4.25% to a decimal.

a)

42.5

b)

0.0425

c)

0.425

d)

0.00425

51.

Convert the fraction 3/5 to a decimal.

a)

0.6

b)

0.3

c)

0.5

d)

0.33

52.

Convert the fraction 5/8 to a decimal.

a)

0.625

b)

0.5

c)

0.75

d)

0.85

53.

Change 125% to a decimal.

a)

1.25

b)

12.5

c)

125

d)

1250

54.

$\frac{14}{25}$ _____ $0.75$

a)

>

b)

<

c)

=

55.

$0.12$ _____ $11\%$

a)

>

b)

<

c)

=

56.

5/8 ___ 50%

a)

<

b)

>

c)

=

57.

45% ___ 4/9

a)

<

b)

>

c)

=

58.

3.45% ___ .34

a)

<

b)

>

c)

=

59.

6.35 ___ 38/6

a)

<

b)

>

c)

=

60.

1/4 ___ 33%

a)

<

b)

>

c)

=

61.

[GRAPHING, Y = MX =B, SLOPE AND INTERCEPT, SLOPE INTERPRETATION]

a)

A

b)

A

c)

A

d)

A

62.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

63.

Which equation has a positive slope?

a)

y= 3x + 5

b)

y= -3x + 5

c)

y= -3x - 5

64.

Which equation has a negative slope?

a)

y= 3x + 5

b)

y= 3x - 5

c)

y= -3x - 5

65.

Which equation has a negative y-intercept?

a)

y= 3x + 5

b)

y= -3x + 5

c)

y= -3x - 5

66.

Which variable represents y-intercept in the linear equation y=mx+b?

a)

y

b)

x

c)

m

d)

b

67.

What is the y-intercept of this equation?
y = 5x + 8

a)

(0, 5)

b)

(5, 0)

c)

(0, 8)

d)

(8, 0)

68.

Which variable represents slope in the linear equation y=mx+b?

a)

y

b)

x

c)

m

d)

b

69.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

70.

What is the y-intercept of the line y = 4x - 10?

a)

4

b)

-4

c)

10

d)

-10

71.

A plant is 5cm tall and growing at a rate of 3cm a month.

a)

y = 5 - 3x

b)

y = 5x + 3

c)

y = 3x +5

72.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.

a)

y = 2x + 15

b)

x = 15y + 2

c)

y = 15x+ 2

73.

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 25x + 40

b)

y = 40x + 25

c)

y = 25x

d)

y = 25x - 40

74.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

75.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

76.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

77.

Find the slope

a)

-5/7

b)

7/5

c)

-7/5

d)

5/7

78.

find the slope

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

79.

Write a linear equation in the form of y=mx+b

a)

y = -4x +6

b)

y = 6x - 4

c)

y = 4x - 6

d)

y = 3x - 2

80.

Write a linear equation in the form of y=mx+b

a)

y = 6x - 1

b)

y = 6x + 1

c)

y = -x + 6

d)

y = 2x -1

81.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 10

b)

y = 3x - 2

c)

y = -x + 1

d)

y = 7x + 2

82.

What is the range of the graph?

a)

-2 < y < 10

b)

-3 < x < 3

c)

-2 ≤ y ≤ 10

d)

-3≤ x ≤ 3

83.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

84.

What number represents the slope ?

y = -2/3x + 2

a)

-2/3

b)

2

c)

-2

d)

-2/3x

85.

What is the y-intercept of the line graphed below?

a)

-3

b)

4

c)

4/3

86.

Write the equation of the line.

a)

y=-3x-4

b)

y=-4x-3

c)

y=(-3/4)x-3

d)

y=(-4/3)x-3

87.

y = 3/2x + 3

a)

slope: 5 y-intercept: 3

b)

slope: 3/2 y-intercept: 3

c)

slope: 4 y-intercept: 3/2

d)

slope: 1/5 y-intercept: 5

88.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

89.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

90.

Given the scale on the x and y axis are the same, find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

91.

Given the scale on the x and y axis are the same, find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

92.

If a line passes through (0,-5) and has a slope of -8, what is the equation for the line?

a)

y = -5x - 8

b)

y = -8x + 5

c)

y = -8x - 5

d)

y = -8x

93.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

94.

What is the slope of the line?

a)

-6

b)

-2/3

c)

3/2

d)

4

95.

Calculate the slope.

a)

m= -2

b)

m=-1/2

c)

m=2

d)

m=1/2

96.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

97.

Write the equation of the line.

a)

y=(1/3)x-1

b)

y=(3/2)x -1

c)

y=3x-1

d)

y=(2/3)x-1

98.

What is the y-intercept?

a)

-1

b)

3

c)

-3

d)

-2

99.

What is the y-intercept?

a)

2

b)

3

c)

4

d)

-3

100.

What is the y-intercept?

a)

65

b)

60

c)

70

d)

-5

101.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

102.

[FACTORING QUADRATICS when a > 1; Practice questions 23 - 27]

8x² + 31x - 4 =

a)

(8x - 1)(x + 4)

b)

(4x - 1)(2x + 4)

c)

(2x - 1)(4x + 4)

d)

(8x - 2)(x + 2)

103.

Which of the following is a factor of $2x^2-x-6?$

a)

(x + 2)

b)

(2x + 3)

c)

2(x - 3)

d)

(x - 3)

104.

Which of the following is a factor of 2x² - 5x + 2?

a)

(x - 2)

b)

(2x + 1)

c)

(2x - 2)

d)

(x - 1)

105.

Given two expressions (i) $2x^2 - x - 1$ (ii) $x^2 - x - 2$ , which of the following is a true about (x - 1)?

a)

Factor of only (i)

b)

Factor of only (ii)

c)

Factor of both

d)

Factor of none

106.

18 - 32x² =

a)

2(3 - 4x)(3 + 4x)

b)

(3 + 4x)(3 - 4x)

c)

-2 (9 - 16x²)

d)

2 (3 - 4x)²

107.

18 - 32x² =

a)

2(3 - 4x)(3 + 4x)

b)

(3 + 4x)(3 - 4x)

c)

-2 (9 - 16x²)

d)

2 (3 - 4x)²

108.

What are the zeroes of the equation b² = -35 + 12b ?

a)

b = 5 and 7

b)

b = -5 and -7

c)

b = -5 and 7

d)

b = 5 and -7

109.

If 4x² - 49 = 0 and x > 0 what is the value of x?

a)

$\frac{49}{4}$

b)

$-\frac{7}{2}$

c)

$\frac{7}{2}$

d)

$-\frac{49}{4}$

110.

What are the zeroes of the equation b² = -35 + 12b ?

a)

b = 5 and 7

b)

b = -5 and -7

c)

b = -5 and 7

d)

b = 5 and -7

111.

If the length of a rectangle is (x - 2), its width is (x + 3), and its area is 24, what is the perimeter in units of the rectangle?

a)

8

b)

5

c)

22

d)

20

112.

(5x + 2) (x²- 3x + 6) =

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

113.

[FACTORING QUADRATICS WHEN a > 1]

Which is a factor of 3x² - 5x - 2?

a)

(3x + 1)

b)

(3x + 2)

c)

(x - 2)

d)

(3x - 2)

114.

Which of the following is a factor of 2x² - 5x + 2?

a)

(2x - 1)

b)

(x + 2)

c)

(2x - 2)

d)

(2x + 2)

115.

Which of the following is a factor of 4x² - 17x + 15?

a)

(2x - 5)

b)

(4x - 3)

c)

(x - 3)

d)

(2x + 5)

116.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Group

117.

Which of the following is a factor of $3x^2-12?$

a)

3

b)

x + 4

c)

x - 4

d)

0

118.

For what values of x does 5x² - 35x + 60 = 0?

a)

x = 3, x = -4

b)

x = -3, x = 4

c)

x = 3, x = 4

d)

x = -3, x = -4

119.

For what values of x does x² + 4x = 12?

a)

x = 2, x = -2

b)

x = -6, x = 2

c)

x = 6, x = -2

d)

x = 1, x = -1

120.

Which of the following is a factor of $10x^2-x-3?$

a)

(10x + 1)

b)

(5x - 3)

c)

(2x - 1)

d)

(x - 3)

121.

Which of the following is a factor of $2x^2-x-6$ ?

a)

$\left(x+2\right)$

b)

$\left(x-3\right)^{ }$

c)

$\left(2x-3\right)$

d)

$\left(2x+3\right)$

122.

Which of the following is a factor of $10x^2-x-3?$

a)

(10x + 1)

b)

(5x - 3)

c)

(2x - 1)

d)

(x - 3)

123.

Which of the following is a factor of $2x^2-x-6$ ?

a)

$\left(x+2\right)$

b)

$\left(x-3\right)^{ }$

c)

$\left(2x-3\right)$

d)

$\left(2x+3\right)$

124.

Given two expressions (i) $2x^2+5x+3$ (ii) $x^2-x+2$ , which of the following is a true about (x + 1)?

a)

Factor of only (i)

b)

Factor of only (ii)

c)

Factor of both

d)

Factor of none

125.

What expression is a factor of $2p^2+5pq-3q^2$ ?

a)

(p - q)

b)

(2p - q)

c)

(p - 3q)

d)

(p + q)

126.

The length of a rectangle is 10 inches more than its width. If 5 inches are taken from the length and added to the width, the figure becomes a square with an area of 196 square inches. What is the length of the original figure?

a)

14

b)

9

c)

19

d)

10

127.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

128.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

129.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

130.

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

a)

Adult $13
Child $5

b)

Adult $10
Child $6

c)

Adult $8
Child $16

d)

Adult $12
Child $13

131.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

a)

Van 43
Bus 14

b)

Van 11
Bus 21

c)

Van 14
Bus 43

d)

Van 17
Bus 45

132.

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

a)

(-5,1)

b)

(5,-1)

c)

(1,4)

d)

(-1,4)

133.

Solve the system of linear equations
-2x - 10y = 22
2x + 5y = -12

a)

(-2, -1)

b)

(-4, -2)

c)

(4, -2)

d)

(-1, -2)

134.

Find the solution of the system of linear equations
3x - 2y = 12
2x + y = 1

a)

(-2, -3)

b)

(2, 0)

c)

(2, -3)

d)

(-3, 2)

135.

Solve System of Equation by the Elimination Method

a)

(-1,6)

b)

(-1,9)

c)

(1,6)

d)

(-1,-9)

136.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

137.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

a)

d + n = 6.60
.10d + .05n = 80

b)

d + n = 80
d + n = 6.60

c)

d + n = 80
.10d + .05n = 6.60

d)

d + n = 80
.05d + .10n = 6.60

138.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

139.

A large pizza at Pizzi Inn costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

140.

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

a)

t + n = 54
t = 3n + 8

b)

t + n = 54
n = 3t + 8

c)

t + n = 54
t = 3n - 8

d)

t + n = 8
t = 3n + 54

141.

The sum of Mrs. LaRoque's and Mrs. Murphy's ages is 61. The difference is 7. What are their ages?

a)

31 and 31

b)

54 and 7

c)

27 and 34

d)

21 and 40

142.

Wyatt and Emerson went shopping at a back-to-school sale where all shirts and shorts were the same price. Wyatt spent $175 on 7 new shirts and 7 pairs of shorts. Emerson purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

a)

$5

b)

$10

c)

$15

d)

$20

143.

Chase is running a concession stand at a WCHS soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, Chase made a total of $78.50 and sold a total of 87 nachos and sodas combined. How much of each item did he sell?

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

144.

Gracie sells tickets for admission to the WCHS school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

a)

10 adults, 11 children

b)

12 adults, 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

145.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

146.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

147.

Your family goes to The Stanford restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?

a)

x + y = 6
14.80x + 17y = 91

b)

x + y = 91
14.80x + 17y = 6

c)

x + y = 6
14.80y + 17x = 91

d)

x + y = 91
14.80x+ 17y = 6

148.

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

a)

5q + 2z = 1.32
1z = 0.75

b)

5q + 2z = 1.32
3q + 1z = 0.75

c)

q + z = 1.32
q + z = 0.75

d)

5q + 2z = 0.75
3q + 1z = 1.32

149.

The WCHS choral group is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

150.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315

2x + 4y = 450

b)

3x + 2y = 450

2x + 4y = 315

c)

2x + 2y = 315

3x + 4y = 450

d)

3x - 2y = 315

2x - 4y = 450

151.

Week 4 placeholder

a)

1

b)

2

c)

3

d)

4

152.

John rented a bike from Mike's Bike shop. The shop charges $20 flat fee plus $6 per hour to rent a bike. If John paid $68 to rent a bike, how many hours did he rent the bike for?

a)

7

b)

8

c)

9

d)

10

153.

[POLYNOMIAL OPERATIONS: Binomials]

(x +2)(x + 3) =

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

154.

Which expression is equivalent to $x^2\ +\ 12x\ +36$ ?

a)

$\left(x-6\right)^2$

b)

$\left(x+6\right)\left(x-6\right)$

c)

$\left(x+6\right)^2$

d)

$\left(x+9\right)\left(x+4\right)$

155.

$32y^2-48y+18=$

a)

$2\left(4y+3\right)\left(4y-3\right)$

b)

$4\left(8y\ +\ 3\right)^2$

c)

$4\left(8y-3\right)^2$

d)

$2\left(4y-3\right)^2$

156.

8x² - 40xy + 50y² =

a)

(4x - 25y)²

b)

2(4x² - 20xy + 25y²)

c)

2(2x - 5y)(2x + 5y)

d)

2(2x - 5y)²

157.

What are the solutions for x in x² + 18x +27 = 8x +3 ?

a)

x = -6 and -4

b)

x = 6 and 4

c)

x = -6 and 4

d)

x = 6 and -4

158.

The length of the first side of a triangle is 5x -3 feet and the second side of the triangle is 3x -2 feet long. If the perimeter of the triangle is 15x - 6 feet, what is the length in feet of the third side of the triangle in terms of x?

a)

7x - 1

b)

23x - 11

c)

7x - 11

d)

7x - 5

159.

$(2x+3)^2=$

a)

$2x+3+2x+3$

b)

$4x^2+12x+9$

c)

$4x^2+9$

d)

$16x^2+9$

160.

[GCF and FACTORING POLYNOMIALS]

Which answer choice correctly describes ALL the factors of 20?

a)

10, 20, 30 and 40

b)

2, 4 and 5

c)

20, 40 and 60

d)

1, 2, 4, 5, 10 and 20

161.

Which expression is a factor to x² + 7x - 18?

a)

(x - 6)

b)

(x - 2)

c)

(x - 3)

d)

(x - 9)

162.

Which of the following expression is equivalent to 3x²- 75?

a)

3( x + 5 ) ( x - 5 )

b)

Prime

c)

( x + 5 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

163.

(3x + 2) (2x + 4) =

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

164.

$(a-b)^2=$

a)

a² - b²

b)

a² - 2ab - b²

c)

a² + 2ab + b²

d)

a² - 2ab + b²

165.

[Factor quadratics when a > 1]
$49x^2-126x+81=$

a)

$\left(7x+9\right)^2$

b)

$\left(7x-9\right)^2$

c)

$\left(7x+9\right)\left(7x-9\right)$

d)

$\left(9x-7\right)^2$

166.

$49x^2-126x+81=$

a)

$\left(7x+9\right)^2$

b)

$\left(7x-9\right)^2$

c)

$\left(7x+9\right)\left(7x-9\right)$

d)

$\left(9x-7\right)^2$

167.

If the sample is representative of a high school with 2,000 freshman and seniors, then based on the table, what is the predicted number of freshman at the high school who would select math as their favorite high school subject?

a)

520

b)

240

c)

65

d)

30

168.

Last year, a surf shop gave s lessons on wakeboarding. This year, the surf shop gave five more than three times the number of lessons given last year. If next year the surf shop plans on giving twice the number of lessons it gave this year, how many lessons does the surf shop plan to give next year?

a)

2s

b)

3s+5

c)

6s+5

d)

6s+10

169.

Last year, a surf shop gave s lessons on wakeboarding. This year, the surf shop gave five more than three times the number of lessons given last year. If next year the surf shop plans on giving twice the number of lessons it gave this year, how many lessons does the surf shop plan to give next year?

a)

2s

b)

3s+5

c)

6s+5

d)

6s+10

170.

A bookstore sold b books last month. This month, the bookstore sold four times the number of books sold last month plus seven. If next month the bookstore plans to sell three times the number of books it sold this month, how many books does the bookstore plan to sell next month?

a)

3b

b)

4b+7

c)

12b+7

d)

12b+21

171.

A gardener planted p plants in the spring. In the summer, the gardener planted twice the number of plants planted in the spring plus eight. If in the fall the gardener plans to plant three times the number of plants planted in the summer, how many plants does the gardener plan to plant in the fall?

a)

2p

b)

2p+8

c)

6p+8

d)

6p+24

172.

A chef prepared c dishes last week. This week, the chef prepared three times the number of dishes prepared last week plus ten. If next week the chef plans to prepare twice the number of dishes prepared this week, how many dishes does the chef plan to prepare next week?

a)

2c

b)

3c+10

c)

6c+10

d)

6c+20

173.

A factory produced f units of a product last month. This month, the factory produced three times the number of units produced last month plus fifteen. If next month the factory plans to produce twice the number of units produced this month, how many units does the factory plan to produce next month?

a)

2f

b)

3f+15

c)

6f+15

d)

6f+30

174.

A teacher graded g papers last week. This week, the teacher graded four times the number of papers graded last week plus twelve. If next week the teacher plans to grade three times the number of papers graded this week, how many papers does the teacher plan to grade next week?

a)

3g

b)

4g+12

c)

12g+12

d)

12g+36

175.

A musician composed m songs last year. This year, the musician composed five times the number of songs composed last year plus twenty. If next year the musician plans to compose twice the number of songs composed this year, how many songs does the musician plan to compose next year?

a)

2m

b)

5m+20

c)

10m+20

d)

10m+40

176.

A writer wrote w articles last month. This month, the writer wrote three times the number of articles written last month plus five. If next month the writer plans to write twice the number of articles written this month, how many articles does the writer plan to write next month?

a)

2w

b)

3w+5

c)

6w+5

d)

6w+10

177.

A painter painted p paintings last year. This year, the painter painted four times the number of paintings painted last year plus ten. If next year the painter plans to paint three times the number of paintings painted this year, how many paintings does the painter plan to paint next year?

a)

3p

b)

4p+10

c)

12p+10

d)

12p+30

178.

A baker baked b cakes last week. This week, the baker baked five times the number of cakes baked last week plus eight. If next week the baker plans to bake twice the number of cakes baked this week, how many cakes does the baker plan to bake next week?

a)

2b

b)

5b+8

c)

10b+8

d)

10b+16

179.

Lilly and Laura pooled their money to purchase their brother, Liam, a video game for his birthday. The video game cost a total of $45. If Laura was only able to contribute $\frac{2}{3}$ of what Lilly did, how much did Laura put toward the present?

a)

$18

b)

$21

c)

$27

d)

$30

180.

Emma and Olivia shared the cost of a concert ticket for their friend, Ava. The ticket cost $80. If Olivia contributed $\frac{1}{2}$ of what Emma did, how much did Olivia contribute?

a)

$20

b)

30

c)

27

d)

$40

181.

James and Robert bought a book for their friend, Michael. The book cost $50. If Robert contributed $\frac{4}{5}$ of what James did, how much did Robert contribute?

a)

$20

b)

$22

c)

$30

d)

$35

182.

Anna and Bella decided to buy a gift for their friend, Clara. The gift cost $70. If Bella contributed $\frac{3}{5}$ of what Anna did, how much did Bella contribute?

a)

$21

b)

$26

c)

$30

d)

$42

183.

David and Ethan bought a gadget for their friend, Frank. The gadget cost $90. If Ethan contributed $\frac{2}{3}$ of what David did, how much did Ethan contribute?

a)

$30

b)

$40

c)

$50

d)

$36

184.

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

a)

3/20

b)

1/4

c)

3/31

d)

2/27

185.

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.

a)

2/15

b)

3/17

c)

1/19

d)

6/21

186.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

187.

What is the probability of flipping a coin and getting heads?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

188.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)

a)

2/9

b)

1/3

c)

1/2

d)

1/4

189.

What is the probability of drawing a 3 from a deck of cards?

a)

2/13

b)

1/13

c)

3/52

d)

5/52

190.

What is the probability of picking a vowel (a,e,i,o,u) and rolling a 3 or less on a die?

a)

5/26

b)

1/2

c)

6/32

d)

6/52

191.

There are 10 women and 40 men at a political rally. 25 of the people are Democrats, 20 are Republicans, and 5 are Independent. What is the probability of choosing a person at random and picking a female who is a Democrat? (HINT: It’s AND)

a)

1/10

b)

7/10

c)

1/2

d)

3/4

192.

Hank wants to create a 4-letter password using the letters from the word “FRIDAY”. If he cannot repeat the letters in each password, how many possible passwords can he make?

HINT: Multiply

a)

6

b)

360

c)

36

d)

100

193.

Jessica has a drawer full of socks. She has 4 blue ones, 5 white ones, 3 pink ones. What is the probability of drawing either a white or pink sock?

a)

5/48

b)

1/3

c)

2/3

d)

1/3

194.

$\left(x^{-2}y^{-5}\right)^{-6}=$

a)

$x^{12}y^{30}$

b)

$\frac{1}{x^4y}$

c)

$\frac{1}{x^{-8}y^{-11}}$

d)

$x^{-12}y^{-30}$

195.

$-3x-(3x-3x^4)=$

a)

-3x⁴

b)

3x⁴

c)

-6x - 3x⁴

d)

-6x + 3x⁴

196.

$Given\ f\left(x\right)=\frac{3}{2}x+5\ what\ is\ f\left(12\right)?$

a)

$\frac{43}{2}$

b)

$20$

c)

$23$

d)

$5$

197.

Given: $7c-1=c$ what is $48c\ ?$

a)

$\frac{1}{6}$

b)

6

c)

8

d)

$-8$

198.

$If\ 4\left(x-1\right)-2=5\left(2x+3\right)+6,\ what\ is\ the\ value\ of\ x?$

a)

$-\frac{23}{6}$

b)

$-\frac{23}{14}$

c)

$-\frac{9}{2}$

d)

$-\frac{19}{6}$

199.

If 2x + 3(5x - 7) = 47, then x =

a)

1

b)

2

c)

3

d)

4

200.

$If\ -2(x+5)>6,\ then$

a)

$x>-8$

b)

$x<-8$

c)

$x>8$

d)

$x<8$

201.

If the ratio of dogs to cats is 3 : 4, and there are 8 cats, how many dogs are there?

a)

10

b)

6

c)

8

d)

12

202.

The exchange rate for dinar is 40 dinars for 1 US dollar. If Joey needs 2,500 dinars for her travel, how many US dollars will she need to exchange?

a)

100

b)

62.5

c)

50

d)

60

203.

A map is drawn to scale so that a length of 1 inch on the map represents an actual distance of 10 mi. If Round Rock and San Antonio are 10 inches apart on the map, then what is the actual distance in miles between Round Rock and San Antonio?

a)

100

b)

112

c)

20

d)

120

204.

A map is drawn to scale so that a length of 1 inch on the map represents an actual distance of 10 mi. If Round Rock and San Antonio are 10 inches apart on the map, then what is the actual distance in miles between Round Rock and San Antonio?

a)

100

b)

112

c)

20

d)

120

205.

The exchange rate for dinar is 40 dinars for 1 US dollar. If Joey needs 2,500 dinars for her travel, how many US dollars will she need to exchange?

a)

100

b)

62.5

c)

50

d)

60

206.

Alice is making a drawing of a room that is 16 yards long. If she uses a scale of

1 yard = $\frac{1}{2}$ inch, how long will the room be in her drawing?

a)

24 inches

b)

8 inches

c)

32 inches

d)

8 yards

207.

A fraction bar is divided into 6 congruent sections as shown in the image.

Which TWO answer choices show how much of the bar is shaded BLUE?

a)

$\frac{1}{3}$

b)

$\frac{2}{4}$

c)

$\frac{6}{2}$

d)

$\frac{2}{6}$

208.

A circle is divided into 6 congruent sections as shown.

What fraction of the circle is NOT shaded GREEN?

a)

$\frac{2}{3}$

b)

$\frac{2}{5}$

c)

$\frac{1}{3}$

d)

$\frac{1}{6}$

209.

$\frac{4}{7}+\frac{2}{7}=$

a)

$\frac{6}{7}$

b)

$\frac{6}{14}$

c)

$\frac{8}{49}$

d)

$\frac{2}{7}$

210.

$\frac{4}{7}+\frac{2}{7}=$

a)

$\frac{6}{7}$

b)

$\frac{6}{14}$

c)

$\frac{8}{49}$

d)

$\frac{2}{7}$

211.

$\left(\frac{3}{5}\right)\left(\frac{10}{y}\right)=$

a)

$\frac{6}{y}$

b)

$6y$

c)

$\frac{30}{y}$

d)

$\frac{3y}{50}$

212.

$\frac{3}{8}\ +\ \frac{4}{8}=$

a)

$\frac{7}{8}$

b)

$\frac{6}{8}$

c)

$\frac{7}{16}$

d)

$\frac{3}{16}$

213.

$\frac{1}{8}\ of\ 24\ =\$

a)

2

b)

3

c)

8

d)

192

214.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

215.

$\frac{6^3}{6^5}\ =\$

a)

$6^2$

b)

$\frac{1}{6^{ }}$

c)

$\frac{1}{36}$

d)

$\frac{1}{12}$

216.

$\frac{a^8b^2}{a^3b^4}=$

a)

$a^5b^2$

b)

$\frac{a^5}{b^2}$

c)

$a^{11}b^6$

d)

$\frac{a^5}{b^6}$

217.

Simplify $\frac{18a^{14}b^7}{6ab^2}$

a)

3a¹³b⁵

b)

3a¹⁴b⁹

c)

3a¹⁵b⁹

d)

3a¹⁴b¹⁴

218.

Mona has 6 more pencils than Sally. Together they have 18 pencils. How many pencils does Sally have?

a)

4

b)

5

c)

6

d)

12

219.

(5x + 2) (x²- 3x + 6) =

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

220.

Which of the following is a factor of $3x^2-12?$

a)

3

b)

x + 4

c)

x - 4

d)

0

221.

For what values of x does 5x² - 35x + 60 = 0?

a)

x = 3, x = -4

b)

x = -3, x = 4

c)

x = 3, x = 4

d)

x = -3, x = -4

222.

The length of a rectangle is n yards and the width of the rectangle is three yards more than the length. The area of the rectangle is 28 sq yards. What is the length of the rectangle in yards?

a)

3

b)

6

c)

4

d)

5

223.

Which of the following is a translation of "four consecutive integers whose sum is 226"?

a)

x + 4 = 226

b)

4x + 4 = 226

c)

x + x + 6 = 226

d)

4x + 6 = 226

224.

A cardboard box has dimensions of 10 inches by 18 inches by 5 inches. What is the volume of the cardboard box in cubic inches?

a)

900

b)

180

c)

90

d)

360

225.

Charlie bought all his friends a soda that cost three dollars each. Charlie paid a total of $24 for his friends' sodas. How many friends did he pay for?

a)

He paid for 3 friends

b)

He paid for 21 friends

c)

He paid for 24 friends

d)

He paid for 8 friends

226.

Which of the following is a factor of $x^2-6x-27?$

a)

(x + 9)

b)

(x - 3)

c)

(x - 9)

d)

(x + 1)

227.

Which of the following is equivalent to $8x^2-50$ ?

a)

$2\left(4x^2-25\right)$

b)

$2\left(2x-5\right)^2$

c)

$2\left(4x-5\right)\left(4x+5\right)$

d)

$2\left(2x-5\right)\left(2x+5\right)$

228.

What are the solutions for x²- 9x + 20 = 0?

a)

x = -2, 10

b)

x = -5, -4

c)

x = 4, 5

d)

Not factorable

229.

What are the zeros of the equation x²+ 2x =15?

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

230.

18x³ + 81x - 27 =

a)

9x (2x² + 9x - 3)

b)

3 (6x³ + 18x - 9)

c)

9 (2x³ + 9x - 3)

d)

9 (2x² + 9x - 3)

231.

If 6 pounds of whole wheat flour cost $4 per pound, and you pay only with ten dollar bills, what will be the amount of change the cashier will give you?

a)

6

b)

14

c)

24

d)

10

232.

What is the volume in cubic inches of a crate with dimensions of 18 inches by 9 inches by 14 inches?

a)

1134 in³

b)

2268 in³

c)

252 in³

d)

162 in³

233.

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width in meters?

a)

2x + 5 = 150

b)

4x + 10 = 150

c)

4x + 5 = 150

d)

2x + 10 = 150

234.

$\frac{81p^9}{9p^5}=$

a)

$9p^4$

b)

$9p^{14}$

c)

$72p^4$

d)

$72p^{14}$

235.

$2x(-2x-3)=$

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

236.

What is the perimeter of the rectangle in units?

a)

10x - 4

b)

5x - 2

c)

10x + 12

d)

6x - 8

237.

(5x - 2) (3x + 1) =

a)

15x² - 11x - 2

b)

15x² - x - 2

c)

15x² + x - 2

d)

15x² - 8x - 2

238.

$(x+y)(x−y)=$

a)

$x^2−y^2$

b)

$2x-2y$

c)

$x^2-2xy-y^2$

d)

$2x+xy-y^2$

239.

What are the zeroes of the equation n² - 2n = 0 ?

a)

n = 2 and n = 0

b)

n = -2 and n = 0

c)

n = 2

d)

n = 0

240.

What are the values of b in b² + b = 6 ?

a)

b = 2 and -3

b)

b = -2 and 3

c)

b = -2 and -3

d)

b = 2 and 3

241.

The width of a rectangle is five less than twice the length. If the perimeter of the rectangle is 44 feet, what is the width of the rectangle in feet?

a)

5

b)

9

c)

13

d)

18

242.

What is the area of the shape shown?

a)

70 sq inches

b)

80 sq inches

c)

25 sq inches

d)

50 sq inches

243.

Given two expressions (i) $2x^2+5x+3$ (ii) $x^2-x+2$ , which of the following is a true about (x + 1)?

a)

Factor of only (i)

b)

Factor of only (ii)

c)

Factor of both

d)

Factor of none

244.

Which of the following is a factor of

$x^2-11x+24?$

a)

(x + 1)

b)

(x + 3)

c)

(x - 6)

d)

(x - 8)

245.

The squares are as shown. What is the area in square units of the green shaded region in terms of x and y?

a)

$2x\ +\ 2y$

b)

$x^2+y^2$

c)

$x^2-y^2$

d)

$2x-2y$

246.

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width in meters?

a)

2x + 5 = 150

b)

4x + 10 = 150

c)

4x + 5 = 150

d)

2x + 10 = 150

247.

( x - 4 ) ( x² + 9x - 7 ) =

a)

x³ + 13x² + 29x + 28

b)

x³ + 5x² - 43x + 28

c)

x³ - 4x² - 7x + 28

d)

x³ - 5x² + 43x + 28

248.

What expression is a factor of $x^2 + 5x - 6$ ?

a)

(x + 1)

b)

(x + 6)

c)

(x + 2)

d)

(x - 2)

249.

[From Week 4 Review Set 1]

If $-7x-36=20-3x$ , then x =

a)

-12

b)

-14

c)

15

d)

8

250.

If $24k-72=3(8k-16)$ , then x =

a)

x = 3

b)

x = -3

c)

no solutions

d)

all real numbers

(infinite solutions)

251.

Four times a number divided by 3 is five more than that number divided by 2. What is that number?

a)

-6

b)

3

c)

6

d)

-3

252.

Tom has x dollars. His friend Greg has 20 more than twice the amount Tom has. How much money do they have altogether?

a)

2x + 20

b)

3x + 20

c)

$x^2+20$

d)

$2x-20$

253.

What is the quotient of y and 5?

a)

y - 5

b)

y + 5

c)

y X 5

d)

y/5

254.

The area (A) of a rectangle is given as A = LW, where L is the length and W is the width. What is the area, in square units, of the rectangle shown?

a)

$x^4-3x^3+5x^2$

b)

$x^4+2x^2$

c)

$x^3-3x^2+5x^{ }$

d)

$2x^4-4x^3+6x^2$

255.

The perimeter of a square is 40 meters. how long is each side of the square?

a)

20 meters

b)

10 meters

c)

5 meters

d)

15 meters

256.

The total number of students in a class consisting of boys and girls is 30. If x represents the number of boys, which expression shows the number of girls in the class?

a)

30 - x

b)

x + 30

c)

30x

d)

x - 30

257.

Which of the following inequalities shows that the product of -6 and x is greater than or equal to 24?

a)

$\frac{-6}{x}\ge24$

b)

$-6\ +\ x\ \ge24$

c)

$-6x>24$

d)

$-6x\ge24$

258.

Which expression correctly represents the statement that a person is limited to no more than 4 pieces of pizza?

a)

x > 4

b)

x < 4

c)

x ≤ 4

d)

x ≥ 4

259.

Which of the following is the solution set of the inequality $-2n\ -\ 5\ <\ 19$ ?

a)

n < 12

b)

n > -12

c)

n < -12

d)

n > 12

260.

Three consecutive integers have a sum of 90. What is the largest of the three integers?

a)

29

b)

33

c)

31

d)

35

261.

Two consecutive even integers have a sum of 70. What is the least of the two integers?

a)

34

b)

30

c)

38

d)

32

262.

The area (A) of a rectangle is given as A = LW, where L is the length and W is the width. What is the area, in square units, of the rectangle shown?

a)

$x^2+2x-15$

b)

$x^2+8x+15$

c)

$x^2-8x+15$

d)

$x^2-2x-15$

263.

Karla is ten years less than 3 times Sandi’s age. The sum of their ages is 70 years. How old is Karla?

a)

55

b)

20

c)

15

d)

50

Week 6 Placeholder

Total questions: 263

Worksheet time: 12hrs 20mins

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