Free Printable EOC Review

1.

What is the slope of the line that passes through the points (3, 5) and (-2, 2)?

a)

$\frac{3}{5}$

b)

$\frac{5}{3}$

c)

(3, 5)

d)

$\frac{3}{1}$

2.

What is the slope of the line in the accompanying diagram?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$-\frac{3}{2}$

3.

What is the slope of the line whose equation is

2y=5x+4

? (Hint: write your equation in standard from y = mx + b)

a)

5

b)

2

c)

$\frac{2}{5}$

d)

$\frac{5}{2}$

4.

Given the following table, determine the slope of the table.

a)

.16 or $\frac{4}{25}$

b)

6.25 orundefined

5.

What does the slope of this linear equation mean in context to the relationship between x and y?

Slope: 6.25

a)

$6.25 per hour

b)

6.25 hours per dollar

c)

6.25 earned per worked

d)

6.25 worked per earned

6.

What is the slope of the line that passes through the points (-5, 4) and (15, -4)?

a)

$-\frac{5}{2}$

b)

$\frac{5}{2}$

c)

$\frac{2}{5}$

d)

$-\frac{2}{5}$

7.

What is the slope of the line that passes through the points (5, 2) and (5, -3)?

a)

0

b)

Undefined

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

8.

What is the equation of the line in the accompanying diagram?

a)

$y\ =3x\ +\frac{1}{2}$

b)

$y=\frac{1}{2}x+3$

c)

$y=2x+3$

d)

$y=3x+2$

9.

What is the equation of the line in the accompanying diagram?

a)

$y\ =2$

b)

$y\ =\ -2$

c)

$x\ =2$

d)

$x\ =\ -2$

10.

If a line is horizontal, its slope is:

a)

1

b)

0

c)

Undefined

d)

Negative

11.

What is the slope of the line in the accompanying diagram?

a)

\frac{4}{3}

b)

$\frac{3}{4}$

c)

$-\frac{4}{3}$

d)

$-\frac{3}{4}$

12.

What is the equation of the line in the accompanying diagram?

a)

$y=-x+2$

b)

$y=-2x+1$

c)

$y=x+2$

d)

$y=2x+1$

13.

What is the slope of whose equation is $y-3x=1$ ? (Hint: put your equation in y = mx + b form)

a)

-3

b)

3

c)

1

d)

-1

14.

Rewrite the following equation in standard form: $2x-y=10$

a)

$y=2x+10$

b)

$y=-2x+10$

c)

$y=2x-10$

d)

$y=-2x-10$

15.

Identify the slope and the y-intercept from the following equation: $3y=4x-12$

a)

$m=4,\ b\ =-12$

b)

$m=4,\ b=\ -\ 4$

c)

$m=\frac{4}{3},\ b\ =-12$

d)

$m=\frac{4}{3},\ b\ =-4$

16.

Describe the slope of the given graph

a)

positive

b)

negative

c)

zero

d)

undefined

17.

Which ordred pair is the solution for $y=x+11$

a)

\left(1,11\right)

b)

$\left(2,12\right)$

c)

$y=\left(14,\ 3\right)$

d)

$\left(20,\ 31\right)$

18.

Write the equation of a line that a slope of 2 and a y-intercept of -7.

a)

y=-7x+2

b)

$y=2x-7$

c)

$y=-2x+7$

d)

$y=7x-2$

19.

What is the equation of a line that goes through (-5, -3) and has a slope of -2

a)

y=-2x+13

b)

$y=-2x-13$

c)

$y=2x-13$

d)

$y=2x+13$

20.

What is the equation of a line that goes through (-8, -2) and has a slope of $\frac{3}{4}$

a)

y=\frac{3}{4}x-4

b)

$y=\frac{3}{4}x-2$

c)

$y=\frac{3}{4}x+4$

d)

$y=\frac{3}{4}x-8$

21.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

22.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

23.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

a)

y = 2x + 13

b)

y = 2x + 5

c)

y = -1/2x + 3

d)

y = -1/4x + 11/2

24.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

25.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

26.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

27.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

28.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

29.

Graph the equation: y + 1 = 3 (x – 2)

a)

b)

c)

d)

30.

What is the slope of the line represented by $-8x-4y=-12$

a)

$\frac{1}{2}$

b)

$2$

c)

$-2$

d)

$-\frac{1}{2}$

31.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

32.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

33.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

34.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

35.

What is the range for the function below?

a)

y ≤ 4

b)

y ≥ 4

c)

All real numbers

d)

-3 ≤ y ≤ 1

36.

Write the equation of a line that is perpendicular to the x-axis and goes through the point (-3, 3).

a)

x = 3

b)

x = -3

c)

y = 3

d)

y = -3

37.

Which equation is perpendicular to the y-axis and passes through the point (-5, -6).

a)

y= -6

b)

x= -6

c)

y= -5

d)

x= -5

38.

What is the slope of the following graph?

a)

negative

b)

positive

c)

zero

d)

undefined

39.

Which scenario matches the graph?

a)

perpendicular to the y-axis and passes through the point (3,8)

b)

parallel to the x-axis and passes through the point (8,3)

c)

parallel to the y axis and passes through the point (3,8)

d)

perpendicular to the x-axis and passes through the point (8,3)

40.

Write the slope intercept form of the equation through the given points: ( -1, - 3 ) and ( 1, - 5 )

a)

y = -4x + 6

b)

y = -2x + 8

c)

y = -1x - 4

d)

y = -1x - 6

41.

When you graph an inequality, you used a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

42.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

43.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

44.

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

45.

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)

46.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

47.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

48.

This graph represents the inequality y < 3, TRUE or FALSE?

a)

TRUE

b)

FALSE

49.

The given graph represents the inequality x < -1, TRUE or FALSE?

a)

TRUE

b)

FALSE

50.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

51.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

52.

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.

53.

Rewrite this inequality in "y=" form to graph.
3x - 6y > 12

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

54.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(2, 2)

d)

(3, 1)

55.

Find the solution to the equation:
^{6n + 5(2n - 6) = 6n - 30}

a)

n = 0

b)

n = 8

c)

Many Possible Solutions

d)

No Possible Solutions

56.

Find the solution to the equation:
^{25 - 5a = -5( a - 4)}

a)

a = 0

b)

a = 10

c)

No Possible Solution

d)

Many Possible Solutions

57.

^{Find the solution to the equation:}
^{-13 + 5a = 3(a - 3)}

a)

a = 5

b)

a = 9

c)

a = 0

d)

a = 2

58.

Find the solution to the equation:
-19 + 3x = 3( x - 5)

a)

No Possible Solutions

b)

Many Possible Solutions

c)

x = (-6)

d)

x = 8

59.

Find the solution to the equation:
3(1 - 6x) = -19 + 4x

a)

No Possible Solutions

b)

x = 1

c)

x = 4

d)

x = (-1)

60.

Is the solution positive, negative, zero, no solution or infinite solutions?
3x + 3 = 3x + 3

a)

infinite solutions

b)

negative

c)

no solution

d)

zero

61.

Is the solution positive, negative, zero, no solution or infinite solutions?
4 = 14x + 10

a)

infinite solutions

b)

negative

c)

no solution

d)

zero

62.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

63.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

64.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
2z - 6 = 2(z + 2) - 10

a)

one

b)

no solutions

c)

infinite solutions

65.

Jerome has $150 in his savings account and saves $40 per month. Write a linear function J(x) that will tell us the money Jerome has in his savings account after x months.

a)

J(x) = 150 + 40

b)

J(x) = 40x + 150

c)

J(x) = 150x + 40

d)

J(x) = 40 + 150

66.

Identify the slope and y-intercept of: $y=\frac{1}{5}x+5$

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

67.

A plumber charges $50 for a house call plus $12 per hour for labor. The linear function P(x) represents the cost of the plumber for x hours.

P(x) = 50 + 12x

Find P(4)

a)

$86

b)

$98

c)

$110

d)

$74

68.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

69.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

70.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

71.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

72.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

73.

What is the range of the graph?

a)

[1, 4]

b)

(1, 5)

c)

[1, 5]

d)

(1, 4)

74.

What is the domain of the graph?

a)

[1, 4]

b)

(1, 4)

c)

[1, 5]

d)

(1, 5)

75.

If the slope of a line is 3 and the y intercept is 6, what is the correct equation in slope intercept form?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

76.

The Roaming Cell Phone Company charges $15.00 per month plus $2 per minute of airtime usage. The linear function C(x) represents the cost for x minutes of airtime usage.

C(x) = 2x +15

Solve C(x) = 23

a)

4 minutes

b)

3 minutes

c)

2 minutes

d)

5 minutes

77.

The table shows the cost of a pizza, P(t), based on the number of toppings, t. Write a linear function for P(t).

a)

P(t) = 3t + 17.5

b)

P(t) = 2t +11.5

c)

P(t) = 3.5t + 9

d)

P(t) = 2.5t + 10

78.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

79.

If

f\left(x\right)=3x-12

, what is f(12)?

a)

-6

b)

36

c)

24

d)

4

80.

If

f\left(x\right)=3x-12

and

f\left(x\right)=-6

what is the value of x?

a)

12

b)

-6

c)

24

d)

2

81.

If $f\left(x\right)=-\left(\frac{3}{2}\right)x+5$ , what is $f\left(2\right)$ ?

a)

2

b)

3

c)

4

d)

5

82.

If $f\left(x\right)=-\left(\frac{3}{2}\right)x+5\$ and $f\left(x\right)=-1$ what is the value of x?

a)

2

b)

3

c)

4

d)

5

83.

Use the function $f\left(x\right)=3x-12$ and $g\left(x\right)=-\left(\frac{3}{2}\right)x+5$ to find the value of $f\left(5\right)+g\left(8\right)$ .

a)

3

b)

-4

c)

5

d)

-7

84.

Use the function $f\left(x\right)=3x-12$ and $g\left(x\right)=-\left(\frac{3}{2}\right)x+5$ to find the value of $f\left(8\right)-g\left(-2\right)$

a)

4

b)

3

c)

-4

d)

6

85.

Evaluate the function represented by the graph for

f\left(-2\right)

.

a)

10

b)

4

c)

-3

d)

2

86.

Evaluate the function represented by the graph for f(x)=3

a)

-2

b)

-6

c)

-1

d)

-5

87.

Write the linear function that has

p\left(-4\right)=-82

and

p\left(12\right)=6

a)

$f\left(x\right)=5x+6$

b)

$p\left(x\right)=5.5x-60$

c)

$p\left(x\right)=10x-8$

d)

$p\left(x\right)=-10.5x-80$

88.

Write the linear function that has $g\left(1\right)=4$ and $g\left(7\right)=-14$

a)

$g\left(x\right)=-3x+7$

b)

$g\left(x\right)=4x+12$

c)

$g\left(x\right)=8x-64$

d)

$g\left(x\right)=-7x+3$

89.

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)

y = 70(2)³⁵

b)

y = 70(2)⁵

c)

y = 2(70)⁵

d)

y = 5(70)²

90.

Is the pictured graph exponential growth, exponential decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

91.

If the number of bacteria in a colony doubles every 16 hours and there is currently a population of 3,000 bacteria, what will the population be 32 hours from now?

a)

12,000 Bacteria

b)

1.2 x 10¹³ Bacteria

c)

196,608,000 Bacteria

d)

6000 Bacteria

92.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

93.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

94.

What values of b make an exponential growth function?

a)

b > 0

b)

b <1

c)

b > 1

d)

0 < b < 1

95.

What values of b make an exponential decay function?

a)

b > 0

b)

b < 1

c)

b > 1

d)

0 < b < 1

96.

Which variable represents time passed in the function y=ab^x?

a)

y

b)

a

c)

b

d)

x

97.

Bacteria can multiply at an alarming rate when each bacteria splits into three new cells, thus tripling. If we start with only 5 cells which can triple every 4 hours hours, which equation represents number of bacterias after x hours?

a)

$f\left(x\right)=4\left(5\right)^x$

b)

$f\left(x\right)=5\left(4\right)^{\frac{x}{3}}$

c)

$f\left(x\right)=5\left(3\right)^x$

d)

$f\left(x\right)=5\left(3\right)^{\frac{x}{4}}$

98.

Is this exponential growth or decay?

a)

Growth because a=1

b)

Decay because b=0.5

c)

Growth because there is no a

d)

Neither because a=0

99.

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

a)

604

b)

777

c)

29

d)

198

100.

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

a)

25,082

b)

12,937

c)

62,000

d)

43,511

101.

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

a)

34,170

b)

16,348

c)

7690

d)

76,023

102.

Jenny has $20 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?

a)

$2.05

b)

$45.79

c)

$1.99

d)

$7.51

103.

Lauren has $90 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years?

a)

$99.23

b)

$21.98

c)

$56.46

d)

$9.21

104.

A cliff overlooking Oak Grove Lake is experiencing erosion, losing elevation at a rate of 5% every millennium. The cliff's current elevation is 1,200 meters. What will its elevation be in 6 millennia? (Round to the nearest whole number if necessary).

a)

882

b)

465

c)

349

d)

975

105.

Kelsey deposited $30 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years?

a)

$9.93

b)

$2.01

c)

$17.60

d)

$5.75

106.

Thanks to its environmental initiatives, Silvergrove has cut its annual CO2 emissions by 5%. This year, the town produced 290,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 7 years from now? (Round to the nearest whole number if necessary).

a)

202,518

b)

135,792

c)

78,376

d)

20,658

107.

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

a)

12,800

b)

15,777

c)

102, 475

d)

2,500

108.

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years? (Round to the nearest cent.)

a)

$456.01

b)

$556.98

c)

$778.22

d)

$332.63

109.

Solve by factoring.

x² + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

110.

Solve by factoring. (what do they have in common)

n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

111.

What is the greatest common factor of 42xy² and 28x³y?

a)

84x³y²

b)

14y

c)

14xy

d)

14xy²

112.

Solve: b² = -35 + 12b RE-ARRANGE AND FACTOR

a)

b = 5 and 7

b)

b = -5 and -7

c)

b = -5 and 7

d)

b = 5 and -7

113.

What do the "Zeros" represent on a quadratic equation graph?

a)

x-intercepts

b)

y-intercepts

c)

vertex

d)

focus

114.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

115.

Find the factors of 5x²+20x+20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

116.

Factor (hint...take out the greatest common factor first)
2c² + 2c - 84

a)

(c-6)(2c+14)

b)

(c+7)(2c-12)

c)

(c-4)(2c+21)

d)

2(c+7)(c-6)

117.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

118.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

119.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

120.

3x²- 30= -9x

a)

x= 2, -5

b)

x= 5, -2

c)

x= -5, -2

121.

$x^2+8x+4$ Factored is

a)

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

b)

Not factorable

c)

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

122.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

123.

What is standard form of a quadratic Equation?

a)

Ax²+ Bx + C = 0

b)

Ax²+ B + Cx = 0

124.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

125.

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.

126.

Solve by factoring.

b² + 2b - 24 = 0 (hint: find the zeros) FACTOR!

a)

x = 6 or x = -4

b)

x = -6 or x = -4

c)

x = 6 or x = 4

d)

x = -6 or x = 4

127.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

128.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t²+ 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

129.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

130.

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?

a)

0.1 seconds

b)

0.25 seconds

c)

0.50 seconds

d)

1 second

e)

2 seconds

131.

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

a)

0.1 seconds

b)

0.25 seconds

c)

0.50 seconds

d)

0.75 seconds

e)

1 second

132.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t²+ 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

133.

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

a)

2.625

b)

6.25

c)

100

d)

200

e)

210.25

134.

Your cousin hit a golf ball with an initial velocity of 27 feet per second. The equation h = -6t² + 27t models the golf ball's height in feet t seconds after the ball was hit. How long after being hit did the ball reach maximum height?

a)

1 second

b)

2.25 seconds

c)

3 seconds

d)

4.5 seconds

e)

5 seconds

135.

Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation

h = -4t² + 12t. How high did the soccer ball get?

a)

1.5

b)

3

c)

5

d)

9

e)

15

136.

A frog is sitting on the ground when he is scared by a big dog. The movement of the frog is modeled by the equation

h = -6t² + 6t where h is the frog's height at any given time, t. How high does the frog jump?

a)

0.5

b)

1

c)

1.5

d)

2

e)

5

137.

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

a)

3

b)

32

c)

48

d)

64

e)

100

138.

A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t² + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

139.

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4 seconds

b)

2 seconds

c)

6 seconds

d)

9 seconds

140.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

141.

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

a)

only at t = 0 seconds

b)

only at t = 3 seconds

c)

only at t = 9 seconds

d)

at both t = 0 seconds and t = 3 seconds

142.

Find the midpoint of the segment with the endpoints: (-2, 6) and (-3, 7)

a)

(0.5, 0.5)

b)

(6.5, -2.5)

c)

(-1.5, 7)

d)

(-2.5, 6.5)

143.

Find the midpoint between the two points: (-4,4) and (5,-1)

a)

(4,5)

b)

(3,4)

c)

(1/2, 1 1/2)

d)

(7,2)

144.

Find the midpoint between the two points: (-1,1) and (5,-5)

a)

(3,-3)

b)

(2,-2)

c)

(4,-4)

d)

(4,5)

145.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

a)

(0, -1)

b)

(6, 1)

c)

(1, 6)

d)

(0, 1)

146.

Find the missing endpoint if one endpoint is at (5, -7) and the midpoint is at (1.5, 1).

a)

(5, 7)

b)

(-2, 9)

c)

(9, -2)

d)

(1.5, -7)

147.

Find the missing endpoint if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).

a)

(5, -11)

b)

(5, -13)

c)

(-5, 11)

d)

(-5, -11)

148.

Find the midpoint of an imaginary diagonal AC of ABCD.

a)

(1, 3)

b)

(5, 4)

c)

(6, 4)

d)

(0, 4)

149.

What is the area of the rectangle?

a)

28 units squared

b)

45 units squared

c)

33 units squared

d)

19 units squared

150.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

151.

Find the area of the parallelogram.

a)

12 units²

b)

10 units²

c)

13 units²

d)

6 units

152.

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

65

b)

8.06

c)

14

d)

19.06

153.

On a map, John’s school is located at (4, -5), the McDonald’s is located at (4, 3), the mall is located at (2, -5) and his home is situated at (2,3). What is the area between the four locations?

a)

8 square units

b)

10 square units

c)

16 square units

d)

20 square units

154.

Square ABCD has vertices A(-2,-3), B(4, -1), C(2, 5), and D(-4, -3)and . What is the area of the square?

a)

$2\sqrt{10}$

b)

$4\sqrt{10}$

c)

40

d)

20

155.

What type of polygon is this?

a)

concave

b)

convex

156.

What type of polygon is this?

a)

concave

b)

convex

157.

Is the figure a polygon? Is it convex or concave?

a)

Not a polygon, convex

b)

Polygon, convex

c)

Not a polygon

d)

Polygon, concave

158.

Is the figure a polygon? Is it convex or concave?

a)

Not a polygon, convex

b)

Polygon, convex

c)

Not a polygon

d)

Polygon, concave

159.

This polygon is classified as ....

a)

a hexagon

b)

a heptagon

c)

an octogon

d)

a nonagon

160.

Polygon or non-polygon?

a)

Polygon

b)

Non-Polygon

161.

Find the perimeter of the figure to the right. Round to the nearest tenth.

a)

20.8 units

b)

116 units

c)

11.5 units

d)

19.8 units

162.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

163.

The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3) and V-5,7). What is the perimeter of RSTV?

a)

$\sqrt{20}$

b)

$\sqrt{40}$

c)

$4\sqrt{20}$

d)

$4\sqrt{40}$

164.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

165.

x-y=11
2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

166.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

167.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

168.

What is the solution?
(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

169.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

170.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

171.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

172.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

173.

Which of the following is not a method to solve systems?

a)

Elimination

b)

Difference of Squares

c)

Substitution

d)

Graphing

174.

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

175.

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

176.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=134
x+y=120

b)

3x+3y=134
4x+3y=120

c)

4x+3y=134
3x+3y=120

d)

7xy=134
6xy=120

177.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother 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

178.

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

179.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

180.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

181.

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

182.

Which system of inequalities 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 + 3

183.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

184.

Write using a single exponent: 10³ x 10⁵

a)

10¹⁵

b)

10⁸

c)

10²

d)

10⁶

185.

Write using a single exponent: (10⁴)⁵

a)

10²⁰

b)

10¹

c)

10⁹

d)

10⁶

186.

Write using a single exponent: $\frac{3^7}{3^3}$

a)

$3^{10}$

b)

$3^{21}$

c)

$3^4$

d)

$3^6$

187.

$10^{-5}$

Write using a positive exponent:

a)

$50$

b)

$10^5$

c)

$\frac{1}{10^5}$

d)

$10^9$

188.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

189.

$\left(\frac{4}{8}\right)^2$ = ?

a)

$\frac{8}{16}$

b)

$\frac{16}{8}$

c)

$\frac{16}{64}$

190.

Evaluate: $x^{\frac{3}{2}}$

a)

$\frac{x^2}{x^3}$

b)

$\frac{x^3}{x^2}$

c)

$3\sqrt{x^2}$

d)

$\sqrt{x^3}$

191.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

192.

X²⋅ X³⋅ X⁴⋅ X

a)

x⁹

b)

x²⁴

c)

x¹⁰

d)

x²⁵

193.

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

a)

add

b)

subtract

c)

multiply

d)

divide

194.

Simplify

a)

2x⁶

b)

2x

c)

2x⁵

d)

2x⁸

195.

Simplify: $\left(\frac{4}{2d^2}\right)^3$

a)

$\frac{2}{d^2}$

b)

$\frac{8}{d^6}$

c)

$\frac{8}{2d^2}$

d)

$\frac{64}{2d^2}$

196.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

197.

Simplify:

9x^6y^2\cdot5x^2y^3

a)

$14x^8y^5$

b)

$14x^{12}y^6$

c)

$45x^8y^5$

d)

$45x^{12}y^6$

198.

Simplify:

\frac{x^{-7}}{x^{12}}

a)

$\frac{1}{x^5}$

b)

$x^5$

c)

$x^{19}$

d)

$\frac{1}{x^{19}}$

199.

Simplify the expression.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

200.

(5x²y²)³

a)

125x⁶y⁶

b)

15x⁶y⁶

c)

8x⁵y⁵

d)

15x⁵y⁵

201.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

202.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

203.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

EOC Review - Porterfield

Total questions: 203

Worksheet time: 13hrs 48mins

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