Free Printable Review (Units 1-10)

1.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

2.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

3.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

4.

Translate this phrase into an algebraic expression.

2 times the sum of a number and 15

Use the variable B to represent the unknown number.

a)

2(B+15)

b)

2B+15

c)

2B×15

d)

2×15B

5.

Translate this phrase into an algebraic expression.
35 multiplied by the quantity r less than 45

a)

35(r - 45)

b)

35r - 45

c)

35(45 - r)

d)

45 - 35r

6.

Write a verbal expression for:
2a+6

a)

6 more than the product of 2 times a

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

7.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

8.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

9.

3(2x + z) when x=8 and z=2

a)

12

b)

30

c)

54

d)

60

10.

(y + z)² when y=5 and z=2

a)

7

b)

49

c)

29

d)

14

11.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

12.

Which is NOT an equation?

a)

x+14=32

b)

10-2x=10+5x

c)

3+x

d)

12=0.5x-3

13.

What are the coefficients in the expression
8a + b + 9?

a)

8 only

b)

1 and 8

c)

8 and 9

d)

1, 8, and 9

14.

What are the terms of the expression 5x - 3y + 4?

a)

5, 3, and 4

b)

5x and 3y

c)

5x, 3y, and 4

d)

5x, -3y, and 4

15.

4(8) ÷ (8 − 6)

a)

-2

b)

18

c)

-1

d)

16

16.

What is the order of the steps for the following expression?
50- 16 x 2 ÷ (12-4)

a)

parentheses
multiplication
subtraction
division

b)

parentheses
multiplication
division
subtraction

c)

parentheses
division
multiplication
subtraction

d)

parentheses
subtraction
multiplication
division

17.

(3x²+xy-5y²) + (2x²-xy+3y²)

a)

5x²-2xy+8y²

b)

5x²-2y²

c)

5x²+2y²

d)

5x²+2xy-8y²

18.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

19.

Add the polynomials.
(2xy - 3x² + 4y - 5) + (-3xy + 4y² - 3y + 8)

a)

-1xy - 3x² + 4y² + 1y + 3

b)

-1xy + 1x² + 1y + 3

c)

-1xy + 1y² + 1y + 3

d)

1xy + 3x² + 4y² + 1y + 3

20.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x² +6y² + 6z²

b)

4x + y + 6z

c)

-4x² - y² + 6z²

d)

-4x + y + 6z

21.

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

a)

1

b)

2

c)

3

d)

4

22.

What is the degree of the polynomial 17x + 4

a)

0

b)

1

c)

2

d)

3

23.

What is the correct name of the following:
3xy + 4x + 5y + 6

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

24.

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

a)

True

b)

False

25.

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

26.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

27.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

28.

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

a)

-5x⁵ + 2x³ - 6x

b)

7x⁵ - 6x

c)

-5x³ + 2x² - 6x

d)

-5x⁵ - 6x

29.

What is the standard form of the polynomial,
9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

30.

Add

a)

x + 1

b)

x - 1

c)

x

d)

1

31.

What expression/polynomial is modeled by the algebra tiles?

a)

2x² + 3x + 1

b)

2x² - 4x + 1

c)

x² - 4x + 1

d)

6x + 1

32.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

33.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

34.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

35.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

36.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

37.

pV = nRT

solve for n

a)

n= pV/RT

b)

n= p/R + V/T

c)

n= pV - RT

d)

n= (pV-R)/T

38.

Solve for h
$V\ =\ lwh$

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

39.

Solve for h:
$V\ =\ \frac{1}{3}\pi r^2h$

a)

$\frac{3V}{\pi r^2}=h$

b)

$\frac{1}{3}V\ -\pi r^2=h$

c)

$3V\ -\ \pi r^2=h$

d)

$\frac{1}{3}V\pi r^2=h$

40.

d + 3 = 8

d = ?

a)

d = 3

b)

d = 8

c)

d = 5

d)

d = 11

41.

Solve:
7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

42.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

43.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

44.

Solve for x:
4(1-x) + 3x = -2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

45.

Solve:
2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

46.

Solve:
5y + 34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

47.

Solve the equation:
4x - 5x + 9 = 5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

48.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

49.

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

a)

add 8 to both sides

b)

subtract 9b from both sides

c)

Distribute -3 to the x and -2

d)

add 2 to both sides

50.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

51.

Where is the first mistake?

a)

Distribution of the 5

b)

Distribution of the 10

c)

subtracting 60x from both sides

d)

dividing by -50

52.

Where is the first mistake?

a)

Subtracting 3 on both sides

b)

Distributing the 9

c)

Subtracting 9x on both sides

d)

Inequality error

53.

Find the equation and the solution for the following problem.

John has n pieces of gum. He has to evenly split it with his 12 friends. Each friend gets 3 pieces of gum. How many pieces of gum did John start with?

a)

n*12=3 Solution: 36

b)

n/12=3 Solution: 36

c)

n+3=12 Solution: 9

d)

n-3=12 Solution: 15

54.

Jasaun has 60 video games in his collection. He shares 1/3 of his games equally between 2 of his friends. How many video games did each friend receive?

a)

30

b)

20

c)

10

d)

120

55.

How many solutions does the equation have
3t + 5 = 4t + 7

a)

One Solution

b)

No Solution

c)

Infinite Solutions

56.

How many solutions does the equation have
6x + 3 = 6x + 3

a)

One Solution

b)

No Solution

c)

Infinite Solutions

57.

How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x

a)

One Solution

b)

No Solution

c)

Infinite Solutions

58.

How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n

a)

One Solution

b)

No Solution

c)

Infinite Solutions

59.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

60.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

61.

The quotient of a 15 and a number plus 1

a)

15 / g - 1

b)

15 / g + 1

c)

g / 15 + 1

d)

g + 1 / 15

62.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

63.

Write an algebraic expression for:
three times a number plus 16

a)

3(16)+n

b)

16n+3

c)

3n+16

64.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

4 + 6x = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

not enough info

65.

How would you translate
x - 5 = 12 into words?

a)

x - 5 = 12

b)

The product of x and 5 is twelve

c)

x less than 5 is 12

d)

Five less than x is 12.

66.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

67.

Evaluate expression: 5a + b for a= 6 and b= 3

a)

33

b)

36

c)

30

d)

59

68.

Translate the statement into an equation:
10 more than twice a number is 18

a)

2n + 10 = 18

b)

10n + 2 = 18

69.

the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4n + 10

d)

4 / n + 10

70.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

a)

n - 7 > 18

b)

7 - n ≥ 18

c)

n - 7 ≥ 18

d)

n + 7 ≥ 18

71.

Write an inequality for the following statement.
n is less than 9

a)

n < 9

b)

n > 9

c)

n ≤ 9

d)

n ≥ 9

72.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

73.

Which phrase represents the following expression:

6x – 1

a)

The quotient of 6 and x minus 1.

b)

6 times x increased by 1.

c)

1 less than 6 times x.

d)

1 minus 6 multiplied by x.

74.

Write an inequality for the following statement.
n is less than 9

a)

n < 9

b)

n > 9

c)

n ≤ 9

d)

n ≥ 9

75.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

a)

n - 7 > 18

b)

7 - n ≥ 18

c)

n - 7 ≥ 18

d)

n + 7 ≥ 18

76.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

77.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

78.

You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. Write an inequality to show how many levels you can play. DO NOT SOLVE

a)

5x-7 ≥ 60

b)

7x+5 ≤ 60

c)

7+5 ≤ 60x

d)

7x-5 ≥ 60

79.

Translate this phrase into an algebraic expression.
the difference of 100 and the sum of 6 and w

a)

100 - 6 + w

b)

100 / (6 + w)

c)

100 - (6 + w)

d)

100 / 6 + w

80.

Translate this phrase into an algebraic expression.
35 multiplied by the quantity r less than 45

a)

35(r - 45)

b)

35r - 45

c)

35(45 - r)

d)

45 - 35r

81.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

82.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

83.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

84.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

85.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

86.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

87.

Solve for x.

a)

55

b)

60

c)

15

d)

35

88.

7(1 - y) = -3(y - 2)

a)

y = 1/4

b)

y = 4

c)

y = 5

89.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

90.

-138 ≥ -6(6b − 7)

a)

b ≤ 5

b)

b ≤ -5

c)

b ≥ 5

d)

b ≥ -5

91.

-2(5 + 6n) < 6(8 − 2n)

a)

no solution

b)

infinite solution

c)

x < 0

d)

x > 0

92.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

93.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

94.

a)

{-2, 3, 7}

b)

[-2, 3]

c)

{1, 2, 2, 3, 4}

d)

[1, 4]

95.

Does this table represent a function?

a)

Yes!

b)

No!

c)

I Don't Know

96.

Does this Mapping Diagram repersent a function?

a)

Function

b)

No Function

c)

I Don't Know

97.

Is this relation a Function?

a)

Yes

b)

No

c)

I Don't Know

98.

A graph is presented. What are the domains for this graph?

a)

-4,-1,4,5,8

b)

-6,0,2,3,4

c)

1,0,9,-4,5

d)

-6,0,4,5,8

99.

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6.

a)

y=20x

b)

y=84x

c)

y=7/3x

d)

y=3/7x

100.

Is this a direct variation?
y=2x

a)

yes

b)

no

101.

Is this a direct variation? y =2x + 1

a)

Yes

b)

No

102.

The width of a rectangle varies inversely with its length. If the width is 6 when the length is 24, give an equation that shows the relationship.

a)

y = 4x

b)

y = 144x

c)

y = 4/x

d)

y = 144/x

103.

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5.

a)

0.36

b)

9

c)

25

d)

36

104.

a)

1/3

b)

-1/3

c)

-2/3

d)

3/2

105.

Find the slope between the two points.
(3, 7) and (-4, 2)

a)

⁷/₅

b)

⁵/₇

c)

²/₃

d)

2

106.

Find the slope between the two points.
(4, 2) and (3, 8)

a)

^-1/₆

b)

-6

c)

¹/₆

d)

6

107.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

108.

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

a)

3

b)

4

c)

-3

d)

4/3

109.

Write an equation for the graph

a)

y = -1/2x + 2

b)

y = -2x + 2

c)

y = 1/2x - 2

d)

y = 2x + 2

110.

Write an equation that has a slope of 10 and passes through the point (2,5)

a)

y = 2x + 10

b)

y = 10x + 2

c)

y = 10x - 5

d)

y = 10x - 15

111.

What is the solution to the systems of equations shown in the graph?

a)

1 Solution x=-1/2

b)

1 Solution y=-1/2

c)

Many Solutions

d)

No Solution

112.

What is the solution for y based on the system:

(a)

113.

Solve the given systems of equations using elimination: Write you answer as a coordinate (x,y).

(a)

114.

Find the answer to the systems using elimination: List the answer as a coordinate (x,y):

(a)

115.

Sally and John are siblings. John is one less than 3 times Sally's age. The sum of their ages is 23. How old is John, How old is Sally?

a)

15,8

b)

20,3

c)

17,6

d)

18,5

116.

If Jane has 36 coins totaling $3.00, and the coins are all nickels and quarters, how many of each coin does she have?

Which equations can you set up for this problem? Select 2

a)

n+q=3.00

b)

n+q=36

c)

0.05n+0.25q=36

d)

0.5n+0.25q=3.00

e)

0.05n+0.25q=3.00

117.

Select the graph for y ≥ 1/3x + 2

a)

A

b)

B

c)

C

d)

D

118.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

119.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

120.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

121.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

122.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

123.

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

a)

(0, 0)

b)

(2, 1)

c)

(2, 2)

d)

(-1, 1)

124.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

125.

Given the system, determine a solution.

a)

No solution

b)

(0,0)

c)

(-5, 5)

d)

(5, -5)

126.

Which system of inequality is shown?

a)

y > -1/5x - 1/2
y ≥ -2x - 4

b)

y > -1/5x - 1/2
y ≤ -2x - 4

c)

y ≥ -1/5x - 1/2
y ≤ -2x - 4

d)

y < -1/5x - 1/2
y ≥ -2x - 4

127.

Which system of inequalities matches the graph?

a)

x> -2
y < -4

b)

x< 2
y> 4

c)

x > 2
y < 4

d)

x > 2
y <- 4

128.

Write the inequalities

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

129.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

130.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

131.

Which point is in the feasible region?

a)

(100, 400)

b)

(500, 100)

c)

(300, 200)

d)

(200, 400)

132.

For a school play, adults tickets a cost $12 and student tickets s cost $8. The drama club wants to collect at least $5000. Which inequality expresses the constraint on income?

a)

12a + 8s < 5000

b)

12a + 8s > 5000

c)

12a + 8s < 5000

d)

12a + 8s > 5000

133.

Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.

a)

10x+15y≤480
45x+25y≥250

b)

10x+25y≤200
15x+45y≤480

c)

10x+25y>200
15x+45y<480

d)

10x+25y≥200
15x+45y≤480

134.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

135.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

a)

x + y ≥ 25
x + y ≤ 8

b)

100x + 25 y ≤ 100
2x + 8y ≤ 14

c)

x + y ≥ 100
8x + 25y ≤ 14

d)

8x + 25y ≥ 100
x + y ≤ 14

136.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5
x+y=87

b)

1.5x+0.5y=78.5
1.5x+0.5y=87

c)

x+y=78.5
1.5x+0.5y=87

d)

x+y=78.5
x+y=87

137.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

138.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

139.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

140.

Write the inequality

a)

y>-5x-3

b)

y≥-5x-3

c)

y<-5x-3

d)

y≤-5x-3

141.

Write the inequalities

a)

x≤-2
y≤x-3

b)

y≤-2
y≤x-3

c)

x≥-2
y≤x-3

d)

y≥-2
y≤x-3

142.

Write the inequalities

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

143.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

144.

Graph and identify a possible solution
y>-3x+2
y≤2x-3

a)

(2,3)

b)

(1,4)

c)

(-2,-3)

d)

(4,2)

145.

Graph and identify a possible solution
y>4x+5

a)

(2,5)

b)

(-3,-2)

c)

(-1,1)

d)

(0,3)

146.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

147.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

148.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

149.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

150.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

151.

Which system of inequality is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 4

152.

Tell whether the ordered pair
(3, 8) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

a)

Yes

b)

No

153.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

154.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

155.

Does the mapping of these points represent a function?

a)

Function

b)

Not a Function

156.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

157.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

158.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

159.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

160.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

161.

Multiply the following together:

(2x + 3)(x² + 4x + 1)

a)

2x³ + 8x²+2x

b)

3x² + 12x +3

c)

2x³ +11x² +14x +3

d)

2x³ + 12x +3

162.

$\frac{81x^9-54x^6+27x^3}{9x}$

a)

$9x^9-6x^6+3x^3$

b)

$9x^8-6x^5+3x^2$

c)

$9x^{10}-6x^7+3x^4$

d)

$81x^8-6x^5+3x^2$

163.

Determine the simplified form of the expression 5(3x + 2)

a)

3x + 10

b)

15x + 10

c)

15x - 10

d)

3x - 10

164.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

165.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

166.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

167.

$\frac{6a^3b^2c^{4\ }-\ 8a^2b^2c}{2a^2bc}$

a)

$3abc\ -\ 4abc$

b)

$3abc^{3\ }-\ 4b$

c)

$3a^3b^2c^{4\ }-\ 4b$

d)

$3abc\ +4b$

168.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

169.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

170.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

171.

What type of polynomial is
4x² - 21x + 5

a)

Monomial

b)

Binomial

c)

Trinomial

172.

What type of polynomial is
4x³+ 2

a)

Monomial

b)

Binomial

c)

Trinomial

173.

Find the product: (7x - 6)(7x + 6)

a)

49x² - 36

b)

49x² + 36

c)

49x² + 84x + 36

d)

49x² - 84x + 36

e)

49x² + 84x - 36

174.

(x-4)(x+4) = x² + 8

a)

True

b)

False; x² + 8x + 16

c)

False; x² + 16

d)

False; x² - 16

175.

(a - b)²= a² - b²

a)

True

b)

False; a² + b²

c)

False; a² + 2ab + b²

d)

False; a² -2ab + b²

176.

(a + b)²= a²+ 2ab + b²

a)

True

b)

False; a²+ b2

c)

False; a²- 2ab + b²

d)

False; a²- b²

177.

(a-b)(a+b) = a² + b²

a)

True

b)

False; a² + 2ab + b²

c)

False; a² - b²

d)

False; a² -2ab -b²

178.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

179.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

180.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

181.

Simplify:
6x⁵y² /2x⁴y²

a)

3xy

b)

4x

c)

3x

d)

4xy

182.

Simplify the expression.

a)

8ac

b)

-24abc

c)

-8ac

d)

-8abc

e)

8a⁹b⁶c³

183.

Simplify. Leave your answer in scientific notation.

a)

1.5 x 10²

b)

17.5 x 10²

c)

8.5 x 10^-4

d)

8.5 x 10²

184.

Simplify the exponential expression.

a)

36x⁷y⁴

b)

15x⁷y⁴

c)

36x

d)

4x³y²

185.

Simplify the exponential expression.

a)

x⁹

b)

x⁴⁹

c)

x²

d)

x¹⁴

186.

Simplify the expression (ab⁴)(2ab⁴)^-3

a)

b)

c)

d)

187.

a)

A

b)

B

c)

C

d)

D

188.

a)

A

b)

B

c)

C

d)

D

189.

a)

A

b)

B

c)

C

d)

D

190.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

191.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

192.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

193.

a)

17√2

b)

9√1

c)

9

d)

9√2

194.

Simplify completely:

a)

b)

c)

d)

cannot be simplified

195.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

196.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

Review (Units 1-10)

Total questions: 196

Worksheet time: 14hrs 41mins

Similar Resources on Wayground