Free Printable EOC Review

1.

Solve the following equation:

$\frac{1}{2}\left(24x-18\right)=27$

(a)

2.

Solve the following equation:

$7\left(x-1\right)-3-8x=-9$

(a)

3.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

4.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

5.

Identify the property you would use to solve this equation:
4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

6.

Name the first property you will use to solve this equation:
3(x – 7) = 42

a)

Multiplication Property of Equality

b)

Commutative property

c)

Associative Property

d)

Distributive Property

7.

How many solutions will the following equation have?

$5x=15$

a)

One Solution

b)

Infinitely Many Solutions

c)

No solutions

8.

How many solutions will the following equation have?

$14=-3$

a)

One Solution

b)

Infinitely Many Solutions

c)

No solutions

9.

How many solutions will the following equation have?

$4x-10=4x-10$

a)

One Solution

b)

Infinitely Many Solutions

c)

No solutions

10.

Is the mapping diagram a function?

a)

yes

b)

no

11.

Is the mapping diagram a function?

a)

yes

b)

no

12.

Is the table a function?

a)

yes

b)

no

13.

Is the table a function?

a)

yes

b)

no

14.

Is the graph a function?

a)

yes

b)

no

15.

Is the graph a function?

a)

yes

b)

no

16.

Which of the following is a function?

a)

b)

c)

d)

17.

The following is not a function because...

a)

There are two values that equal 2.

b)

x = 10 and x = 40 has two values each.

c)

In the f(x) column, the 5 repeats.

d)

This table is actually a function.

18.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 17

d)

x ≤ 10

19.

4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

20.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

21.

Solve the inequality and graph its solution.

a)

b)

c)

d)

22.

Convert 565,900 seconds into days.

a)

4.5 days

b)

5.5 days

c)

6.5 days

d)

7.5 days

23.

Convert 62 miles/hour to feet/second.

a)

5,456 feet/second

b)

0.003 feet/second

c)

90.9 feet/second

d)

909 feet/second

24.

What is the y-intercept?

a)

(6, 0)

b)

(0, 6)

c)

(-3, 0)

d)

(0, -3)

25.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

26.

What is the minimum of this graph?

a)

6

b)

-3.5

c)

-3

d)

3

27.

On what interval is the graph decreasing?

a)

(∞, 3)

b)

(3, -∞)

c)

(3, ∞)

d)

(-∞, 3)

28.

What is the interval of increase?

a)

From 0 to 3

b)

From 3 to 7

c)

From 25 to 40

d)

From 50 to 25

29.

What is the RANGE?

a)

-infinity to 0

b)

0 to infinity

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

30.

What was the height of the ball at 1 second?

a)

3 feet

b)

4 feet

c)

5 feet

31.

How high was the ball when it was thrown? Choose the key feature and the answer.

a)

y-intercept, 0 feet

b)

y-intercept, 3 feet

c)

x-value of the vertex, 4

d)

y-value of the vertex 5

32.

Approximately when did the ball hit the ground?

a)

3.25 seconds

b)

4.25 seconds

c)

8.25 seconds

d)

10.25 seconds

33.

Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has a higher y intercept?

a)

Equation A

b)

Equation B

c)

They have the same Y intercept

34.

Who has the greater rate of change?

a)

CJ has a greater rate of change with 6.5

b)

Holland has a greater rate of change with 6

c)

CJ has a greater rate of change with 2/13

d)

They have the same rate of change.

35.

$-2+7x=2y+2$

Is the function linear? Why or why not

a)

Linear; because it can be written in standard form

b)

Not Linear; because there is a square

c)

Linear; because it can be written in y=mx+b

d)

Not linear; because it can't be written in standard form

36.

What is the equation of the line for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

37.

Write the equation for the line in slope intercept form

a)

y=⅗x+1

b)

y=⅗x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

38.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

39.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

40.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

41.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

42.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

43.

Which of the following are written in standard form?

a)

y=3x-5

b)

3x+16=5y

c)

2/3 x + 9/13 y = 21

d)

5x+7y=-12

44.

What is the x-intercept of
x+4y=7?

a)

(7/4, 0)

b)

(0, 7/4)

c)

(7, 0)

d)

(0,7)

45.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

46.

A plumber charges $50 to make a house call plus $40 for each hour worked. Write an equation to represent this situation.

a)

y = 50x + 40

b)

y = 50x + 40x

c)

y = 50 + 40x

d)

y = 90x

47.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 15 + 0.20x

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

48.

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?

a)

k = 10

b)

k = 2

c)

k = 5

d)

k = 1/5

49.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?

a)

k = 123

b)

k = 20

c)

k = 6.15

d)

k = 0.16

50.

The size of a box varies directly as its mass. A 20 cubic centimeter box has a mass of 40 kg. What is the size of the box if the mass is 100 kg.

a)

8 cubic centimeters

b)

50 cubic centimeters

c)

80 cubic centimeters

d)

200 cubic centimeters

51.

Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.

a)

0.1

b)

90

c)

153

d)

250

52.

$2x+5y\le20$ Given the inequality, which of the following would be a solution?

a)

(3,4)

b)

(2,1)

c)

(6,6)

53.

Which of the following ordered pairs does not solve the inequality?

a)

(9,-5)

b)

(3,-4)

c)

(-9,3)

d)

(-3,-3)

54.

Which of the following are solutions to $y<\frac{1}{2}x-2$ ?

Choose 3

a)

$(1,4)$

b)

$(-3,-2)$

c)

$(-4,2)$

d)

$(2,-1)$

e)

$(-2,-4)$

55.

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

a)

81

b)

-34

c)

-146

d)

-225

56.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

57.

How many females were surveyed?

a)

10

b)

16

c)

26

d)

14

58.

How many people attended the basketball game and the school play?

a)

63

b)

55

c)

143

d)

118

59.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

60.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

61.

What is the correlation?

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

All of the above

62.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

63.

Based on the trend line, about how many guests should be expected if the temperature is around 80 degrees?

a)

8,300

b)

7,300

c)

8

d)

9,300

64.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

65.

What is the equation of the line of best fit

a)

y= -2x + 10

b)

y= 10x+ 2

c)

y=2x+10

d)

y= 10

66.

What does the value, r= -0.89, tell us about the linear relationship of two quantitative variables?

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

67.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

a)

f(x) = 25.05x + 5.57

b)

f(x) = 5.57x + 25.05

c)

f(x) = -5.57x + 25.05

d)

f(x) = 5.57x - 25.05

68.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

69.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

70.

Simplify.

a)

b)

c)

d)

71.

Solve the system by elimination. Show all work.

3x + y = 19

2x - y = 6

a)

(5, 14)

b)

(4, 5)

c)

(5, 4)

d)

(14, 5)

72.

Solve by elimination:

-9x-4y=-20

5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

73.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

a)

you cannot solve this using elimination

b)

cross out the 2x and 3x

c)

Add the like terms. The y terms will zero out.

d)

change to slope intercept form and graph

74.

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

75.

Solve the following system of equations by graphing:

a)

(4, -4)

b)

(-4, 4)

c)

no solutions

d)

(0, 0)

76.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

77.

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

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

78.

Simplify √24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

79.

a)

A

b)

B

c)

C

d)

D

80.

Simplify $\sqrt{25x^5y^8}$

a)

$5x^3y^6$

b)

$5x^2y^8\sqrt{x}$

c)

$5x^4y^2\sqrt{x}$

d)

$5x^2y^4\sqrt{x}$

81.

Simplify $\sqrt{18x^6y^{10}z^{14}}$

a)

$3x^3y^5z^7\sqrt{2}$

b)

$9x^2y^8\sqrt{z^{12}}$

c)

$9x^3y^5z^7\sqrt{2}$

82.

a)

-15x²yz⁴

b)

1

83.

a)

b)

16c³d³

c)

d)

84.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

85.

Subtract

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

86.

4x(2x²-2x+2)

a)

6x³-6x²+6

b)

x²+x

c)

8x³-8x²+8

d)

1x-2+3

87.

(10x-3)(10x+3)

a)

100x²-60x-9

b)

100x²-9

c)

9x+1

d)

x²+1-12

88.

(3x+5)²

a)

9x²+30+25

b)

9²+30+2

c)

3x-15

d)

2x+1

89.

Classify the polynomial by degree and number of terms:

3x² – 8x + 1

a)

Cubic Trinomial

b)

Cubic Binomial

c)

Quadratic Trinomial

d)

Quadratic Binomial

90.

Classify by degree and number of terms:

$4$

a)

quartic monomial

b)

constant monomial

c)

linear monomial

d)

constant polynomial

91.

Factor:
4x² + 64

a)

4(x² + 16)

b)

4(x - 4)(x + 4)

c)

4(x²+ 64)

d)

Prime

92.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n - 1)

b)

2n²(4n + 1)

c)

n²(8n + 2)

d)

3n(4n + 1)

93.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

94.

Factor
r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

95.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

96.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

97.

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?

a)

(2x - 9)(x - 5)

b)

(2x + 9)(x + 5)

c)

(2x - 5)(x - 9)

d)

(2x - 5)(x + 9)

98.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

99.

What is the factored form of $5n^3-10n^2+3n-6$ ?

a)

$\left(5n^2+3\right)\left(n-2\right)$

b)

$\left(5n^2-3\right)\left(n-2\right)$

c)

$\left(5n^3+3\right)\left(n-2\right)$

d)

$10n\left(n^2-6\right)$

100.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

101.

The solutions of the quadratic equation
x²+12x+35=0 are

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

102.

What are the solutions to this equation?
(3x-2)(5x+1)=0

a)

x=5/2,-1/3

b)

x=1/5,-2/3

c)

x=1/3,-5/2

d)

x=2/3,-1/5

103.

Solve for x. Round to the nearest hundredth if necessary.
x² + 18 = 9x

a)

x = 3, 6

b)

x = -3, -6

c)

x = -3, 6

d)

x = -6, 3

104.

Solve for x. Round to the nearest hundredth if necessary.
x² - 10x = -25

a)

x = 5

b)

x = -5

c)

x = -5, 5

d)

x = 25

105.

Solve for x. Round to the nearest hundredth if necessary.
x² + 11x + 5 = -5

a)

x = -1, -10

b)

x = 1, 10

c)

x = 0, 11

d)

x = 0, -11

106.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

107.

Solve the equation:
5x² - 35x + 60 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

108.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

109.

What are the solutions to this equation?
(3x-2)(5x+1)=0

a)

x=5/2,-1/3

b)

x=1/5,-2/3

c)

x=1/3,-5/2

d)

x=2/3,-1/5

110.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

111.

Solve by factoring:
n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

112.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

113.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

114.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

115.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

116.

What steps transform the graph y = x² to y = 2(x+2)² - 5?

a)

shrink by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

shrink by 5, shifted 2 units left and 2 down

117.

What is the range of the function shown?

a)

$-1\le y\le3$

b)

$-1\le x\le3$

c)

$5.3\le y\le27$

d)

$5.3\le x\le27$

118.

Consider the given function that represents the balance in a bank account.

$b\left(x\right)=850\left(1.025\right)^x$

What is the initial balance in the account?

(a)

119.

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

120.

Use the function $n\left(t\right)=14000\left(.96\right)^t$ Where n is the number of employees and t is the number of years.

How many employees will there be after 3 years?

a)

14,000 employees

b)

12,386 employees

c)

40,360 employees

d)

15,748 employees

121.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

122.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)³⁵

b)

70(2)⁵

c)

2(70)⁵

d)

5(70)²

123.

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

a)

$3122.18

b)

$4994.50

c)

$4440.73

d)

$86,776.40

EOC Review

Total questions: 123

Worksheet time: 10hrs 14mins

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