Free Printable Enhanced Algebra 1: Georgia Milestone Review

1.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

2.

What is the range of the graph?

a)

-2 < y < 10

b)

-3 < x < 3

c)

-2 ≤ y ≤ 10

d)

-3≤ x ≤ 3

3.

What is the domain of the graph?

a)

{x| -∞ ≤ x ≤ ∞}

b)

(-∞,∞)

c)

-3 ≤ x ≤ 3

d)

-15 ≤ y ≤ 9

4.

What is the range of the graph?

a)

-15 < y < ∞

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

5.

Is this mapping a function and how can you tell?

a)

Yes its a function cause all the numbers have lines

b)

No it's not a function because there a 5 in both ovals

c)

No it's not a function because the x value 5 has 2 outputs.

d)

No it's not a function because the y value 5 has 2 inputs.

6.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has 2 outputs.

7.

Which of the following best describes a function?

a)

A special relationship where each x and y are individually paired

b)

A special relationship where each x value has only one y value

c)

A special relationship where each y value has only one x value

d)

A special relationship where each the x and y value and always equal

8.

What is the input?

a)

0, 4, 10, 12

b)

1, 2, 4, 5, 10, 12

c)

0, 4, 10, 4, 12

d)

1, 2, 5

9.

What is the output?

a)

0, 4, 10, 12

b)

1, 2, 4, 5, 10, 12

c)

0, 4, 10, 4, 12

d)

1, 2, 5

10.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

11.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

12.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

13.

a)

{-2, 3, 7}

b)

[-2, 7]

c)

{1, 2, 3, 4}

d)

[1, 4]

14.

Does the graph represent a function?

a)

Yes

b)

No

15.

Is the relation shown a function?

a)

No, because the x-value 11 is paired with 5 and 8.

b)

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

16.

Is the relation shown in the mapping a function?

a)

No, because -1 and 4 are pared with 4.

b)

Yes, because every input is paired with exactly one output.

17.

Is this relation a Function?

a)

Yes

b)

No

c)

I Don't Know

18.

A graph is shown. What output is paired with the input of -3.

a)

-2

b)

-3

c)

-1

d)

-5

19.

Is this a function?

a)

Yes, because every input has exactly one output

b)

No, because -1 has more than one output

c)

No, because 3 is in the input and the output

20.

Which of these graphs represents a function?

a)

Z

b)

W

c)

X

d)

Y

21.

What is the range of the function shown?

a)

{-5, -3, -1, 3, 5}

b)

3 ≤ y ≤ 6

c)

-5 ≤ x ≤ 5

d)

{3, 6}

22.

g(x) = 3x + 1
g(2) = _______

a)

6

b)

7

c)

8

d)

9

23.

j(x) = 2x + 3
j(-1) = ______

a)

1

b)

-1

c)

5

d)

-5

24.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

25.

Given h(x) = 5 - 9x, find h(8).

a)

h(8) = -360

b)

h(8) = -67

26.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

27.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

28.

Given f(x) =
2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

29.

f(x) = x+3

Find x when f(x) = 8

a)

-1

b)

1

c)

5

d)

-5

30.

a)

f(2) = 1

b)

f(2) = 2

c)

f(2) = 4

d)

f(2) = 7

31.

a)

16

b)

48

c)

-28

d)

4

32.

Given the table of values, which point is a y-intercept?

a)

-6

b)

38

c)

44

d)

32

33.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

34.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

35.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

36.

^{What is the x- intercept of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

37.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

38.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

39.

Find the rate of change

a)

3

b)

-3

c)

20

d)

Not a constant slope/Non-Linear

40.

What is the rate of change for the table below?

a)

1/3

b)

3/7

c)

7/3

d)

3

41.

The average movie ticket prices in the US are represented in a table and a graph. Based on this information, what value is closest to the average rate of change for 1990 - 2010?

a)

$0.03

b)

$0.18

c)

$1.48

d)

$3.67

42.

During a snowstorm, John measured the total snowfall accumulated at the end of each hour. He recorded his results in the table below. What is the approximate average rate of change of the snowfall between 1 p.m. and 6 p.m.?

a)

0.7 inch/hour

b)

0.9 inch/hour

c)

1.1 inch/hour

d)

1.4 inch/hour

43.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

44.

What does a₁ represent?

a)

Any term

b)

First term

c)

Last term

45.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

46.

Is the sequence -432, 72, -12, 2,...geometric?

a)

yes

b)

no

47.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

48.

What is the 14th term of the geometric sequence?

a)

14,348,907

b)

4,782,969

c)

1,594,323

d)

45

49.

Find a₁₂ in the sequence -1, -3, -9, -27, ...

a)

-177,147

b)

-19,683

c)

-59,049

d)

118,098

50.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

51.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

52.

Write the explicit formula for the geometric sequence.

a)

a_n = 2(100)^n-1

b)

a_n = 100(2)^n-1

c)

a_n = 100(1/2)^n-1

d)

a_n = (1/2)(100)^n-1

53.

Does the graph represent an exponential growth or an exponential decay function?

a)

Exponential Growth

b)

Exponential Decay

54.

What does the y-intercept of the graph represent?

a)

The amount of grams the material is gaining.

b)

The amount of grams the material is losing.

c)

The amount of grams remaining after so many years.

d)

The initial amount of grams.

55.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

56.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

a)

After 20 days, there are 49 ants in the colony.

b)

After 49 days there are 20 ants in the colony.

c)

The amount of ants times 20 is 49.

d)

After 20 days the amount of ants remaining decreases by 49.

57.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

a)

The predicted increase in number of elephants in the refuge each year.

b)

The predicted decrease in number of elephants in the refuge each year.

c)

The number of years it will take for the elephant population to stop increasing.

d)

The initial amount of elephants in the park.

58.

Is this exponential growth or decay?

a)

Growth

b)

Decay

59.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

60.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

61.

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

62.

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

63.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

64.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

65.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

66.

Find the domain.

a)

all values less than 1

b)

all real numbers

c)

all positive numbers

d)

all values less than 0

67.

What is the transformation?

a)

Vertical Translation up 1

b)

Vertical Translation down 1

c)

Horizontal Translation left 1

d)

Horizontal Translation right 1

68.

What is the transformation?

a)

Vertical Translation up 2

b)

Vertical Translation down 2

c)

Horizontal Translation left 2

d)

Horizontal Translation right 2

69.

What is the transformation?

a)

Vertical Translation up 2 and Horizontal translation right 1

b)

Vertical Translation down 2 and Horizontal Translation left 1

c)

Horizontal Translation left 2 and Vertical Translation up 1

d)

Horizontal Translation right 2 and Vertical Translation down 1

70.

What is the y-intercept of the function $y=4\left(5\right)^x?$

a)

(0, 0)

b)

(0, 4)

c)

(0, 5)

71.

What is the asymptote of the function $y=4\left(5\right)^x?$

a)

y = 0

b)

y = 4

c)

y = 5

72.

Which graph best represents

y=2^x-4

a)

b)

c)

d)

73.

What is the range of the function shown below?

a)

0 < y < 12

b)

-2 < y < 5

c)

y > 0

d)

All Real Numbers

74.

What is the domain and range of the function y=2^x?

Use the graph to help!

a)

Domain: (- ∞, + ∞)

Range: (0, + ∞)

b)

Domain: (- ∞, + ∞)

Range: (1, + ∞)

c)

Domain: (- 2, + ∞)

Range: (0, + ∞)

d)

Domain: (- ∞, + ∞)

Range: ( - ∞, + 0)

75.

What is the rate of change between [2,4] for the function y=5(4)^x?

a)

80

b)

600

c)

1280

d)

400

76.

When is the function decreasing?

a)

(30, 55)

b)

(40, 60]

c)

(15, 40)

d)

(60, -40)

77.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)

78.

Where is the function increasing and decreasing?

a)

increasing (-∞,∞) and decreasing nowhere

b)

increasing nowhere and decreasing (-∞,∞)

c)

increasing (1,∞) and decreasing (-∞,1)

d)

increasing (-1,∞) and decreasing (-∞,-1)

79.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

80.

Factor:

80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

81.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

82.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

83.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

84.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

85.

Factor
4n²-17n-15

a)

(n-10)(6n+1)

b)

(4n-5)(n-3)

c)

(n-5)(4n-3)

d)

(n-5)(4n+3)

86.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

87.

Factor:

2x² + 3x - 9

a)

2(x + 3)(x - 3)

b)

(2x - 3)²

c)

(x + 3)(2x - 3)

d)

(2x + 3)(x - 3)

88.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

89.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

90.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

91.

What is the axis of symmetry of:y=2x²-4x+9

a)

x = 1

b)

x = -1

c)

x = -2

d)

x = 4

92.

What is the y-intercept of: y=7x²+2x -1

a)

(0, 1)

b)

(0, -1)

c)

(1, 0)

d)

(-1, 0)

93.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

94.

Solve by taking square roots:
k² - 6 = 43

a)

k = √37

b)

k = 37 or - 37

c)

k = 7, k = -7

d)

no solution

95.

Solve by taking square roots:
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solution

96.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

97.

b² - 4ac would equal: y = 2x² -x -3

a)

25

b)

-23

c)

-25

d)

0

98.

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.

99.

What are the roots of the function?

a)

x = 4, -1

b)

(-4, 1)

c)

x = -4, 1

d)

(4, 0) (-1, 0)

100.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

101.

How many solutions does the equation 4x² + 4x + 1 = 0 have?

a)

0

b)

1

c)

2

d)

More than 2

102.

What piece of information does c identify in the following equation?
y=ax²+bx+c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

103.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

104.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

105.

Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t² + 140t + 2
What was the starting
height of the ball?

a)

-16 feet

b)

140 feet

c)

2 feet

d)

0 feet

106.

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

a)

(3,8)

b)

(-3,-8)

c)

(-3,8)

d)

(3,-8)

107.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

108.

Solve
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

109.

Solve
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

110.

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)

111.

If the blue is f(x)=x^2,the red must be

a)

g(x)=(x + 3)²

b)

g(x)=(x - 3)²

c)

g(x)=x²+ 3

d)

g(x)=x²- 2

112.

What are the transformations from the parent function y = x²?
y=(x - 2)³+ 4

a)

shift right 2 shift up 4

b)

shift left 2 shift up 4

c)

shift right 2 shift down 4

d)

shift left 2 shift up 4

113.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

114.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

115.

Identify the domain and range of the function.

a)

Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5

b)

Domain: All real number
Range: -3 ≤ y ≤ 5

c)

Domain: All real numbers
Range: y ≥ -3

d)

Domain: All real number
Range: y ≤ -3

116.

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

a)

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

b)

The ball was kicked from the ground and it was in the air for 4 seconds.

c)

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

d)

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

117.

What is the range for the function below?

a)

y ≤ 4

b)

y ≥ 4

c)

All real numbers

d)

-3 ≤ y ≤ 1

118.

What is the domain and the range for the graph?

a)

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

b)

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

c)

Domain : All real #s
Range : y ≤ 4

d)

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

119.

What is the range of the graph?

a)

All real numbers

b)

0 ≤ x ≤ 4

c)

0 ≤ x ≤ 2000

d)

0 ≤ y ≤ 2000

120.

Determine the interval in which this function is INCREASING.

a)

(-4, ∞)

b)

(-3, ∞)

c)

(∞, -3)

d)

(-∞, -4)

121.

Determine the interval in which this function is DECREASING.

a)

(-3, ∞)

b)

(-3, ∞)

c)

(-∞, -4)

d)

(-∞, -3)

122.

Determine the interval in which this function is INCREASING.

a)

(-∞, 2)

b)

(2, ∞)

c)

(2, -∞)

d)

(-∞, 1)

123.

Determine the interval in which this function is DECREASING.

a)

(-∞, 2)

b)

(2, ∞)

c)

(2, -∞)

d)

(-∞, 1)

124.

When I want to find the maximum or minimum height of an object, I should_____.

a)

Set the equation = 0 and solve.

b)

Use x = (-b/2a) as my answer.

c)

Substitute x = 0 into the equation.

d)

Find the y-coordinate for the vertex.

125.

If I want to find out when an object hits the ground, I should _________.

a)

Use x = (-b/2a) as my answer.

b)

Set my equation = 0 and solve.

c)

Replace x with 0 and evaluate.

d)

Find the y-coordinate of the vertex.

126.

If I want to see the initial height of an object, I should _____________.

a)

Substitute x = 0 into the equation and evaluate.

b)

Use x = (-b /2a) as my answer.

c)

Find the y-coordinate of the vertex.

d)

Set my equation = 0 and solve.

127.

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river. How high does the water go?

a)

It goes 11.78 feet high

b)

It goes 20 feet high

c)

It goes 40 feet high

d)

It goes 10 feet high

128.

The length of a rectangle is 6 meters more than the width. The area is 72 square meters. Find the length and width.

a)

Length = 6, Width = 12

b)

Length = 18, Width = 4

c)

Length = 12, Width = 6

d)

Length = 4, Width = 6

129.

A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256. How many seconds did it take the raft to hit the water?

a)

-4

b)

2

c)

4

d)

8

130.

What is the initial (starting) height of an object following this path? h(t) = -16t² +20t + 6

a)

-16 feet

b)

0 feet

c)

20 feet

d)

6 feet

131.

If path of a projectile is modeled by:
h(t) = -16t² + 20t +6, what is the height after 1 second?

a)

6 feet

b)

20 feet

c)

10 feet

d)

4 feet

132.

To calculate the TIME that a maximum height occurs, you should use:

a)

-b/(2a)

b)

Quadratic formula

c)

the c value

d)

0

133.

If the graph shows price vs profit, what is the maximum profit?

a)

35

b)

12,000

c)

12,500

d)

60

134.

If the graph shows price vs profit, at which prices would you "break even" (neither lose or gain money)?

a)

10 and 60

b)

20 and 50

c)

30 and 40

d)

35

135.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

136.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

137.

You know that 12 inches = 1 foot. Convert 60 inches to feet.

a)

720 feet

b)

5 feet

c)

5 inches

d)

72 feet

138.

You know 1000 mg = 1 g. Convert 2.5 grams into milligrams.

a)

25 mg

b)

25,000 mg

c)

250 mg

d)

2500 mg

139.

How many gallons are in a pool that holds 758,000 Liters?
(1 gallon = 3.79 Liters)

a)

200

b)

20,000

c)

200,000

d)

2,000,000

140.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?

a)

32 people

b)

32 minutes

c)

12.5 minutes

d)

12.5 people

141.

Convert 62 miles/hour to feet/second. (5,280 ft = 1 mi)

a)

5,456 ft/s

b)

.003 ft/s

c)

91 ft/s

d)

909 ft/s

142.

Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils can he sharpen in 15 minutes?

a)

390 pencils

b)

65 pencils

c)

20 pencils

d)

11 pencils

143.

A rectangle has a length of 30 cm and a height of 53 mm. What is the perimeter of this rectangle in centimeters.

(Hint: convert cm to mm)

a)

70.6

b)

35.3

c)

15.9

d)

80.0

144.

A square has a side of length 1.6 yards. What is the area of the square in square inches?

(Hint: convert yards to inches first)

a)

3317.76

b)

4523.12

c)

502.3

d)

228.4

145.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

146.

4a + 9 + a

a)

5a + 9

b)

14a

c)

3a + 9

d)

5a - 9

147.

What is the simplified form of this expression

3x+4+5x+3

a)

$15x$

b)

$8x+7$

c)

$7x+8$

148.

Simplify 5(2 - 7n) =

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

149.

Simplify the expression: 7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

150.

3(2x+1)+2(x-4)

a)

8x-3

b)

8x+11

c)

4x-5

d)

8x-5

151.

Two less than the sum of eight and twelve

a)

$2-8+12$

b)

$\left(2-8\right)+12$

c)

$\left(8+12\right)-2$

d)

$2-\left(8+12\right)$

152.

Write an algebraic expression for the math phrase ” the difference of 1 and a number”.

a)

1 - n

b)

1n

c)

n - 1

d)

n +1

153.

4 less than the square of a number

a)

2n -4

b)

n²- 4

c)

2n + 4

d)

4 +n

154.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

155.

What is the coefficient in the expression: 94y+2?

a)

2

b)

4

c)

94

d)

94y

156.

Please define a Constant.

a)

Something that is cool.

b)

A number used to multiply a variable.

c)

A number on its own that never changes.

d)

A symbol for a number we don't know yet.

157.

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which expression models this scenario?

a)

-50x + 90

b)

90x + 50

c)

-90 - 50x

d)

50 - 90x

158.

Tom has a huge collection of books. He buys a few more each month. The expression 4x + 125 represents the number of books in his collection each month. How many books did he start with?

a)

4

b)

4x

c)

125

d)

cannot be determined

159.

$\frac{n+6}{2}$

a)

add six to n then divide by two

b)

multiply by two, then add six

c)

multiply by two, then add twelve

d)

Divide n by to then add six

160.

The degree of the polynomial $-28x^7+9x^2-7x^3+x^9+12$

make sure to write it in standard form

a)

7

b)

2

c)

3

d)

9

161.

Select the correct way to write the polynomial $-28x^7+x^9-7x^3+12+9x^2$ in standard form

a)

$-28x^7+9x^2-7x^3+x^9+12$

b)

$9x^2-7x^3+x^9+12-28x^7$

c)

$x^9-28x^7-7x^3+9x^2+12$

d)

$-7x^3+x^9+12-28x^7+9x^2$

162.

Determine which polynomials are monomials. Select all that apply.

a)

$9x^4x^2$

b)

$6x^3y$

c)

$193+x$

d)

$13-x^2+7x$

e)

751

163.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

164.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

165.

Simplify the Expression:

3x + 6 - 2x +7

a)

14

b)

14x

c)

x + 13

d)

x - 13

166.

What is the the DEGREE:

4x³ - 5x² + 2x - 1

a)

1

b)

2

c)

3

d)

4

167.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

168.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

169.

Find the product:
(5n-8)(5n+8)

a)

25n²-64

b)

10n²

c)

5n²+16

d)

16

170.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

171.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

172.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

173.

Find the perimeter of the rectangle

a)

P= 10x + 2

b)

P= 12x

c)

P = 12

d)

P = 6x² + 3x

174.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

175.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

176.

Completely Simplify:

a)

1/5

b)

20/100

c)

2/10

d)

1/√25

177.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

178.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

179.

Simplify:

a)

5x√2

b)

100x√2

c)

10x√2

d)

10√2x

180.

Simplify:

a)

√4√12

b)

4√12

c)

4√3

d)

2√3

181.

Simplify
3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

182.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

183.

Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?

a)

j - 3 = 12

b)

s - 3 = 12

c)

s + 3 = 12

d)

j + 12 = 3

184.

9z = 81 can be solved be doing the

a)

inverse operation, which is divide both sides by 9

b)

inverse operation which is multiply both sides by 9

c)

duplicate operation which is divide both sides by 9

d)

fractal operation which is divide both sides by 9

185.

Blake’s Bowling Alley offers a special. Each game costs $2.50 and the shoe rental $2.00. You spend $14.50 total. How many games did you bowl?
What is the correct equation to solve?

a)

2.5 + 2g = 14.5

b)

2.5 + 2 = 14.5g

c)

2.5g + 2 = 14.5

d)

14.5 + 2g = 2.5

186.

The sum of three consecutive even natural numbers is 48. The greatest of these numbers is

a)

15

b)

17

c)

16

d)

18

187.

Alexander has a rectangular bedroom with a perimeter of 34 feet. The length of the bedroom is 9 feet. What is the width of Alexander's bedroom?

a)

12 ft

b)

8 ft

c)

6 ft

d)

18 ft

188.

Brain Break!
What is 1 + 1?

a)

Not This One

b)

Do Not Choose This One

c)

2

d)

Wrong Answer

189.

Is this an expression, equation, or inequality?
-8x + 3

a)

Expression

b)

Equation

c)

Inequality

190.

Is this an expression, equation, or inequality?
7x + 6 = 20

a)

Expression

b)

Equation

c)

Inequality

191.

Is this an expression, equation, or inequality?
-5x + 9 ≤ 2 + x

a)

Expression

b)

Equation

c)

Inequality

192.

Solve the inequality:
6 points

$x+5\le13$

a)

$x\ge8$

b)

$x\le8$

c)

$x\ge18$

d)

$x\le18$

193.

Solve the equation:

$3\left(x-1\right)=2x+9$

a)

$x=12$

b)

no solution

c)

$x=10$

d)

$x=6$

194.

Solve:

$4x+2\left(x-6\right)=12$

a)

$x=6$

b)

$x=4$

c)

$x=2$

d)

$x=-2$

195.

What would be the "reason" for statement #2? 6 points

a)

Mulitiplication Property of Equality

b)

Addition Property of Equality

c)

Distributive Property

d)

Combine Like Terms

196.

Which of the following is equivalent to "The product of 5 and x decreased by 3 is no more than 2."

6 points

a)

$5x-3\ge2$

b)

$5x-3\le2$

c)

$5\left(x-3\right)\le2$

d)

none of these

197.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

198.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

199.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

200.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

201.

This system has _____ solutions.

a)

0

b)

1

c)

2

d)

Infinitely many

202.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

203.

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

a)

(3, -2)

b)

(3, -3)

c)

(-3, 2)

d)

(-3, -3)

204.

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion. Given the equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5

a)

subtract the two equations from each other

b)

multiply the second equation by -1 and add the two equations

c)

multiply first equation by 2, multiply the second equation by 1 then add them

d)

multiply the first equation by -2 then add the equations together

205.

a)

A

b)

B

c)

C

d)

D

206.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

207.

Solve for v

C = xv + x

a)

(C-x)/x = v

b)

(C+x)/x = v

c)

(-C-x)/x = v

d)

(Cx)/x = v

208.

a)

(2.5+h)f

b)

g=1

c)

f(5+h)/2

d)

(5f+h) / 2

209.

Solve for h

V = πr²h for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

210.

a)

T = PV/K

b)

T = PK/V

c)

T=KV/P

d)

Greenland

211.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

212.

0 = 4b ⋅ 0

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative Mult

d)

Multiplicative Property of Zero

213.

4/3 ⋅ 3/4 = 1

a)

Multiplicative Identity

b)

Multiplicative Inverse

c)

Commutative Mult

d)

Additive Inverse

214.

-8 + 8 = 0

a)

Additive Inverse

b)

Additive Identity

c)

Commutative Add

d)

Addition Property of Zero

215.

8+(3+2)=(8+3)+2

a)

Commutative Mult

b)

Associative Mult

c)

Commutative Add

d)

Associative Add

216.

Which property of real numbers justifies the work shown from Step 1 to Step 2?

a)

Distributive Property

b)

Commutative Property

c)

Identity Property

d)

Associative Property

217.

Which property justifies the work in solving this equation?

a)

Addition Property of Equality

b)

Additive Inverse Property

c)

Identity Property of Addition

d)

Subtraction Property of Equality

218.

Which property justifies the work in this solution?

a)

Distributive Property

b)

Commutative Property

c)

Identity Property

d)

Associative Property

219.

Which property was used to get from Step 7 to the solution?

a)

Distributive Property

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property

220.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

221.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

222.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

223.

What is the y-intercept of the equation:
y = 2x - 3

a)

-2

b)

2

c)

3

d)

-3

224.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

225.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

226.

What is the equation of the line?

a)

y=3x

b)

y=3

c)

x=3

d)

y=-3

227.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

228.

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

229.

Which of the following has a y-intercept of 3?

a)

y = 3x +2

b)

x=3

c)

y=2x+3

d)

y=x

230.

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)

231.

Vertical or horizontal?
y = 10

a)

vertical

b)

horizontal

c)

neither

232.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

233.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

234.

What is the slope of a line that passes through the points (-4, 2) and (6, 8)?

a)

$-\frac{3}{5}$

b)

$\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$-\frac{5}{3}$

235.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

236.

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

a)

Parallel

b)

Perpendicular

c)

Neither

237.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

238.

^{What is the x- intercept of the line?}

a)

(0,-2)

b)

(0,-1)

c)

(-1,0)

d)

(-2,0)

239.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

240.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

241.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 12.5x + 30

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

242.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 25.5 + 8.5x

c)

y = 8.5 + 25.5x

243.

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

a)

y = 7x + 20

b)

y = 7 + 20x

c)

y = 20 + 7

244.

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

a)

y = 40 + 2x

b)

y = - 2x + 40

c)

y = 2 + 40x

d)

y = 2 - 40x

245.

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

a)

32 songs

b)

33 songs

c)

19 songs

d)

36 songs

246.

You and your friends plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. How many rides can you go on if you have $20?

a)

20 rides

b)

30 rides

c)

40 rides

d)

50 rides

247.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = - 30x + 100

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

248.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

a)

35

b)

21.5

c)

30

d)

30.50

249.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

250.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

251.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

a)

y = 30x + 20

b)

y = 30 + 20x

c)

y = 50x

d)

y = 60x

252.

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

a)

7 months

b)

6 months

c)

5 months

d)

4 months

253.

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

a)

4

b)

-4

c)

10

d)

-10

254.

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

a)

10

b)

4

c)

-4

d)

-10

255.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

256.

Determine the slope and y-intercept from the following equation: 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

257.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

258.

Which best describes this equation?
y= 3.75x + 2

a)

Proportional

b)

Non-proportional

259.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

260.

Does this graph represent a proportional relationship?

a)

Yes, because the line is pretty.

b)

No, because the line goes through the origin.

c)

Yes because the line goes through the origin.

d)

No, because the graph is non-proportional.

261.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

262.

The graph shows the water level as a bathtub fills. Select the correct choice that describes this graph.

a)

The graph is linear and proportional.

b)

The graph is linear and non-proportional.

263.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

264.

Which best describes the table?

a)

proportional

b)

non-proportional

265.

What is the constant of proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

266.

Is this table proportional?

a)

Yes

b)

No

267.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

268.

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.

a)

Proportional

b)

Non-Proportional

269.

Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.

a)

Proportional

b)

Non-proportional

270.

What is the y-intercept for the following table and is it proportional or non-proportional?

a)

Proportional, y-intercept is 0

b)

Non-proportional, y-intercept is 0

c)

Proportional, slope is 0

d)

Non-proportional, slope is 0

271.

What is the y-intercept for the table and is it proportional or non-proportional?

a)

Proportional, y-intercept is 30

b)

Proportional, y-intercept is 45

c)

Non-proportional, y-intercept is 30

d)

Non-proportional, y-intercept is 45

Enhanced Algebra 1: Georgia Milestone Review

Total questions: 271

Worksheet time: 17hrs 25mins

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