Free Printable Algebra 1 CP Unit 1 Test Review

1.

4 less than g

a)

4 - g

b)

g - 4

c)

4 + g

2.

The difference of a number t and 2

a)

t + 2

b)

t - 2

c)

2 - t

3.

The sum of a number k and a number j reduced by 10

a)

k x j - 10

b)

(k + j) + 10

c)

(k - j) - 10

d)

(k + j) - 10

4.

8 decreased by the sum of 3 and a number c

a)

8 - (3 - c)

b)

8 - 3 - c

c)

8 - (3 + c)

d)

8 - 3 + c

5.

A number d less than 4, plus 1

a)

d - 4 + 1

b)

4 - d - 1

c)

4 - d + 1

d)

d - 4 - 1

6.

6 more than the difference of 9 and a number p

a)

6 + (9 - p)

b)

6 + (p - 9)

c)

6 + 9 - p

d)

6 + p - 9

7.

4 less than the sum of a number r and a number s

a)

4 - r + s

b)

4 - (r + s)

c)

(r - s) - 4

d)

(r + s) - 4

8.

15 decreased by a number b squared

a)

15 + b²

b)

15 - b²

c)

b² - 15

d)

15 - b³

9.

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)

4m + 8

b)

8m - 4

c)

8m + 4

d)

4m - 8

10.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

Use the variable n to represent the unknown number.

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

11.

Translate this phrase into an algebraic expression.

The quotient of twenty and a number

Use the variable n to represent the unknown number.

a)

20/n

b)

20-n

c)

n+20

d)

n-20

12.

Translate this phrase into an algebraic expression.

2 times the difference of a number and 11

Use the variable t to represent the unknown number.

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

13.

twice the sum of a number and 3 is 15

a)

2x+3=15

b)

2+3x=15

c)

2(x+3)=15

d)

3(x+2)

14.

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

a)

3h + 0.90d = S

b)

S = 90d + 3h

c)

S = 3d + 90h

d)

S = 3h + 9.0d

15.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

a)

222.5 = m(35 + 0.75)

b)

222.5 = 35 + 0.75m

c)

222.5 = 0.75 + 35m

d)

222.5 = 0.75(m + 35)

16.

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

17.

Ten more than twice a number

a)

2m + 10

b)

10m + 2

c)

10 + m/2

d)

2(10) + m

18.

Write a word phrase to represent the following algebraic expression:

$12x$

a)

the product of a number and 12

b)

the product of 12 and a number

c)

12 times a number

d)

a number times 12

19.

Write a word phrase to represent the following algebraic expression:

$\frac{z}{8}-9$

a)

the quotient of 8 and a number minus 9

b)

the product of 8 and a number minus 9

c)

the quotient of a number and 8 minus 9

d)

9 less than the quotient of a number and 8

20.

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

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

21.

Which of these is subtraction?

a)

The quotient of 25 and 5

b)

25 decreased by 5

c)

Twice 25 and 5

d)

The product of 25 and 5

22.

Classify the number (choose all that apply): 0

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

23.

Classify the number (choose all that apply): $\sqrt{12}$

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

24.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

25.

Classify the number (choose all that apply): $\frac{3}{4}$

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

26.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

27.

Irrational numbers are

a)

..., -3, -2, -1, 0, 1, 2, 3, ...

b)

numbers that can be expressed in fraction form

c)

0, 1, 2, 3,...

d)

numbers that can't be expressed as terminating or repeating decimals or fractions

28.

Rational numbers are

a)

..., -3, -2, -1, 0, 1, 2, 3, ...

b)

numbers that can be expressed in fraction form

c)

0, 1, 2, 3,...

d)

numbers that can't be expressed as terminating or repeating decimals or fractions

29.

Integers are

a)

..., -3, -2, -1, 0, 1, 2, 3, ...

b)

numbers that can be expressed in fraction form

c)

0, 1, 2, 3,...

d)

1, 2, 3, ...

30.

Whole numbers are

a)

values greater than zero

b)

0, 1, 2, 3, 4...

c)

1, 2, 3, 4, ....

d)

..., -2,-1, 0, 1, 2, ...

31.

Is $\frac{12}{99}$ a terminating decimal or a repeating decimal?

a)

terminating decimal

b)

repeating decimal

32.

An example of an integer is...

a)

9.1

b)

$\frac{8}{9}$

c)

-9

d)

-2.3

33.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

34.

$-\sqrt{\frac{36}{49}}$ results in what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

35.

$3\pi-4$ results in what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

36.

$0.\overline{7}$ is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

37.

A rational number...

a)

can be positive or negative

b)

can be a decimal

c)

can be expressed as a ratio

d)

All the above

38.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

39.

Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Is he correct?

Why or why not?

a)

Yes, because the decimal is repeating.

b)

No, because it is an integer.

c)

No, because a pattern is not a repeating decimal.

40.

Click on all irrational numbers.

a)

b)

c)

d)

41.

Which of the following is a rational number?

a)

b)

c)

d)

42.

The opposite of a real number is...

a)

an unreal number

b)

an imaginary number

c)

a fake number

d)

a contradictory number

43.

A never ending decimal that doesn't repeat is which type of number?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

44.

The product of a rational and an irrational numbers is

a)

Always an irrational number

b)

Always an integer

c)

Can not say

d)

Always a rational number

45.

Which of the statement is false?

a)

Sum of a rational number and irrational number is rational number.

b)

Product of two irrational number may not be an irrational number.

c)

Product of two rational number is always a rational number.

d)

Sum of a rational number and irrational number is an irrational number.

46.

Which is an example of the Distributive Property?

a)

$3\left(8\times10\right)=3\times8+3\times10$

b)

$x\times y=y\times x$

c)

$7+\left(18+11\right)=\left(11+7\right)+18$

d)

$0+x=x$

47.

Simplify:
5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

48.

4a + 9 + a

a)

5a + 9

b)

14a

c)

3a + 9

d)

5a - 9

49.

Simplify 5(2 - 7n) =

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

50.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

51.

Simplify...
5a + 2b + 6a + 4b

a)

11a + 6b

b)

2a + 2b

c)

a + 2b

d)

-a - 2b

52.

5(y + 6) + 4

a)

5y + 15

b)

5y + 34

c)

5y + 10

d)

y + 34

53.

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

a)

8x-3

b)

8x+11

c)

4x-5

d)

8x-5

54.

Simplify:
20x + 27y + 38y + 29x

a)

49y + 64x

b)

49y + 65x

c)

49x + 65y

d)

49x - 65y

55.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

56.

3(5 + 3x) - 4x

a)

-x + 8

b)

7x + 15

c)

5x + 15

d)

7x + 8

57.

3(2 + x) + 6x - 4

a)

6x + 5

b)

9x + 1

c)

9x + 2

d)

3x + 8

58.

-5(y - 6) + 4

a)

-5y + 34

b)

5y - 26

c)

-5y - 26

d)

5y + 34

59.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

60.

-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

61.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

62.

What would you solve first?
3 x 48 / (15 - 3)

a)

3 x 48

b)

48 / 15

c)

15 - 3

d)

48-12

63.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

64.

3[(4 + 6) ÷ 2]

a)

15

b)

21

c)

9

d)

12

65.

3 x 8 - (9 - 7)³

a)

16

b)

18

c)

0

66.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

67.

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.

68.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

69.

Is this table a function or not a function?

a)

Function

b)

Not a Function

70.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

71.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

72.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

73.

What is x if

f(x) = -1?

a)

4

b)

0

c)

3

d)

6

74.

The function h(t) represents the amount made at Best Buy after t hours. What does the notation h(4) = 500,000 mean?

a)

After 500,000 hours Best Buy made $4

b)

Best Buy makes money at a rate of 500,000/4 hours per dollar

c)

After 4 hours Best Buy has made $500,000

d)

Best Buy makes money at a rate of $500,000 hours per week

75.

What is the range of the graph?

a)

-4 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

76.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

77.

Does the table show y as a function of x?

a)

Yes, it is a function.

b)

No, it is not a function

78.

Does the table show y as a function of x?

a)

Yes, it is a function.

b)

No, it is not a function

79.

Match the relations with their domain and range.

a)

1.

D: {-4, 3, 5, 7}

R: {4, 14, 32}

b)

2.

D: {-7, -2, 0, 5}

R: {-9, -4, -1}

c)

3.

D: {-2, -1, 0, 1, 2}

R: {-2, -1, 0, 1, 2}

d)

4.

D: {-1, 0, 2, 7}

R: {-2, 1, 4, 7}

e)

5.

D: {-5, -3, 3}

R: {-5, -2, 5}

80.

Which tables show y as a function of x?

a)

b)

c)

d)

81.

Which set of ordered pairs represents y as a function of x?

a)

{(−9, 2), (0, 6), (1, −2), (−3, 6)}

b)

{(−1, 0), (4, 3), (−7, −3), (−1, −8)}

c)

{(3, 2), (−4, −2), (3, 1), (−4, 1)}

d)

{(5, 4), (2, 3), (1, 1), (2, 4)}

82.

Which graph does not represent y as a function of x?

a)

b)

c)

d)

83.

If g(x) = 2x + 5, what is the value of g(4)?

a)

13

b)

29

c)

22

d)

9

84.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

85.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

86.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

87.

How do you read f(x)?

a)

f x

b)

f of x

c)

f parenthesis x

d)

f with an x inside parenthesis

88.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

89.

What would be the 1st step in solving this problem:

(4 - 2) + 9(7)

a)

multiplication

b)

subtraction

c)

parenthesis

d)

dividing

90.

f(x) = 7 - 2x

Find f(-4a ).

a)

7 - 8a

b)

7 + 8a

c)

15a

d)

7 - 6a

91.

f(x) = 5x + 3

Find f(2a + 1).

a)

18a

b)

10a + 8

c)

10a + 4

d)

14a

92.

Quadratic

a)

b)

c)

d)

93.

Linear

a)

$y=x^2$

b)

$y=\sqrt{x}$

c)

$y=x$

d)

$y=2^x$

94.

Exponential

a)

b)

c)

d)

95.

Absolute value

a)

$y=\left|x\right|$

b)

$y=2^x$

c)

$y=\sqrt{x}$

d)

$y=x^2$

96.

a)

Linear

b)

Absolute Value

c)

Exponential

d)

Square root

97.

Which parent function matches the graph?

a)

y = |x|

b)

y = x

c)

y = x²

d)

y = $2^x$

98.

What type of function is shown?

a)

exponential

b)

linear

c)

quadratic

d)

square root

99.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

100.

Name the parent function.

a)

constant

b)

quadratic

c)

linear

d)

exponential

101.

Name the parent function.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

102.

Name the parent function.

a)

cubic

b)

cube root

c)

exponential

d)

quadratic

103.

Name the parent function.

a)

cube root

b)

square root

c)

quadratic

d)

linear

104.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

105.

What is the name of this parent function?

a)

Quadratic Function

b)

Absolute Value Function

c)

Cubic Function

d)

Linear Function

106.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

107.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

108.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

109.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

110.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

111.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

112.

What is the Domain?

a)

y ≥ 6

b)

-10 ≤ y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All real numbers

113.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

114.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

115.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

116.

What is the DOMAIN of this function?

a)

-∞ ≤ x ≤ ∞

b)

-∞ ≤ x ≤ ∞

c)

∞ < x < ∞

d)

-∞ < x < ∞

117.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
Range is the y values
(x,y)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

118.

Identify the domain of the following relation:
Remember domain is the "x" values

a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

119.

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

c)

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

d)

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

120.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

121.

What is the range of the following function, if the domain is {1,7,10}?
f(x) = x + 4

a)

{-3,3,6}

b)

{1,7,10}

c)

{5,11,14}

d)

{4,28,40}

122.

What is the domain?

a)

all real numbers

b)

1<x<6

c)

{1,3,4,6}

d)

{-2,2,5}

123.

What is the range?

a)

{-2,2,5}

b)

{1,3,5,6}

c)

all real numbers

d)

-2<y<5

124.

What is the range of the graph?

a)

(-2, 10)

b)

(-3, 3)

c)

[-2, 10]

d)

[-3, 3]

125.

Range?

a)

(–3, 2]

b)

(–4, 0]

c)

[–3, 2)

d)

[–4, 0)

e)

(–4, 2]

126.

Domain?

a)

(–5, ∞)

b)

(∞, –5)

c)

[–5, ∞)

d)

(–∞, 3)

e)

(–∞, –5)

Algebra 1 CP Unit 1 Test Review

Total questions: 126

Worksheet time: 4hrs 31mins

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