Free Printable Accel Algebra Chapter 1 Review

1.

Which statement is false?

a)

No integers are irrational numbers.

b)

All whole numbers are integers.

c)

No real numbers are irrational numbers.

d)

All integers greater than 0 are whole numbers.

2.

The value $\sqrt{36}$ is an integer.

a)

No, b/c a square root is always irrational.

b)

No, b/c it's root is a decimal.

c)

Yes, b/c it simplifies to -6 and 6

d)

Yes, b/c it can be rounded.

3.

Choose the categories that apply to the value

\sqrt{\frac{16}{4}}

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

4.

Choose the categories that apply to -7.5.

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

real number

5.

T/F the value $\pi$ is a rational number.

a)

True because all Greek symbols are rational.

b)

True because it can be expressed as a ratio of two integers.

c)

False because it cannot be expressed as a ratio of two integers.

d)

False because it's a confusing value.

6.

5.4545454545454545... is a

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

real number

7.

The number 0 is a

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

8.

The value $-\sqrt{121}$ is a(n)

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

9.

The value -18/6 is a(n)

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

10.

Classify this number: 6.7

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole natural

11.

Classify this number: 2

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole natural

12.

Classify this number: √10

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

13.

Classify this number: ⅚

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

14.

Classify this number: √25

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole natural

15.

Classify this number: -12

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

16.

a)

Rational, Integer

b)

Whole, Integer, Rational

c)

Irrational, Integer

d)

Irrational

17.

Determine if it is a rational or irrational number:
√20

a)

Rational

b)

Irrational

18.

8 is a part of the following sets:

a)

Whole Number

b)

Integer

c)

Rational

d)

All of the above

19.

Classify the Number: -23

a)

Rational

b)

Real, rational, integer

c)

integer

d)

Real, irrational, integer, whole

20.

Classify the number: 0

a)

Real Number

b)

Irrational Number

c)

Imaginary

d)

Natural Number

21.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

22.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

23.

The number -8 belongs to what number set(s)?

a)

Whole

b)

Integer

c)

Rational

d)

Integer and Rational

24.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

25.

A fraction is which type of number?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

26.

Is 8.27 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

27.

Classify √100

a)

Rational, Integer, Whole, Natural

b)

Whole, Integer, Rational

c)

Irrational, Integer

d)

Irrational

28.

Repeating decimals are _____ numbers.

a)

irrational

b)

rational

29.

$\sqrt{16}$ is included in the set of _______ because it simplifies to 4.

a)

irrational numbers

b)

whole number

30.

-1.4 is not included in the set of ______ because it has a decimal (or fractional) part.

a)

rational numbers

b)

integers

c)

real numbers

31.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

32.

Pat worked 4 hours on Monday and 3 hours on Friday.
If he earned the same hourly rate each day, which expression best represents the situation?

a)

7x

b)

4x + 3x

c)

4 + 3x

d)

3 + 4

33.

Translate this phrase into an Algebraic expression.
57 more than 3 times Kate's score
Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g - 57

c)

3g + 57

d)

57 + 3g

34.

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

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

35.

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

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

36.

Translate this phrase into an algebraic expression.
the difference if 3 times a number and 7

a)

3(7 - n)

b)

3n - 7

c)

3n + 7

d)

3 / 7n

37.

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

38.

Translate this phrase into an algebraic expression.
14 subtracted from the quantity 6 times k

a)

6 - 14k

b)

6k - 14

c)

14k - 6

d)

14 - 6k

39.

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

a)

100 - 6 + w

b)

100 / (6 + w)

c)

100 - (6 + w)

d)

100 / 6 + w

40.

Translate this phrase into an algebraic expression.
4 divided by the sum of a number and 12

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

41.

Translate this phrase into an algebraic expression.
2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

42.

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

a)

35(r - 45)

b)

35r - 45

c)

35(45 - r)

d)

45 - 35r

43.

Write a verbal expression for:
2a+6

a)

6 more than the product of 2 times a

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

44.

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

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

45.

Which algebraic expression represents
"six less than a number"?

a)

6/k

b)

k/6

c)

6 - k

d)

k - 6

46.

Ten decreased by four times a number.

a)

10 - 4x

b)

4x - 10

c)

10 - x

d)

10/4x

47.

Seven less than the difference of five times a number and two.

a)

7 - (5x - 2)

b)

(x - 2) - 7

c)

5(x - 2) - 7

d)

(5x - 2) - 7

48.

Write a verbal expression for:
2a+6

a)

6 more than the twice a number

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

49.

Which algebraic expression best represents the following verbal expression?

half a number x plus 4

a)

2x + 4

b)

x + 4(½)

c)

½x + 4

d)

x + ½ + 4

50.

Which algebraic expression best represents the following verbal expression?

four less than the product of b and three

a)

4 - 3b

b)

4 - (3 + b)

c)

(4 + b) - 4

d)

3b - 4

51.

12 - 4 x 2 =

a)

16

b)

4

c)

8

d)

18

52.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

53.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

54.

(9 + 23) ÷ (5 - 3) =

a)

16

b)

32

c)

15

d)

12

55.

16÷2x4-3

a)

5

b)

-1

c)

25

d)

29

56.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

57.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

58.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

59.

True or False?
2 + (4 x 5 - 2) + 8 = 28

a)

True

b)

False

60.

Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

61.

(24-16)÷8

a)

8

b)

1

c)

2

d)

7

62.

(4x8)-(9+7)

a)

16

b)

25

c)

41

d)

32

63.

(6 + 2) x (3 + 2)

a)

18

b)

26

c)

16

d)

40

64.

(7 x 5) + 5

a)

40

b)

70

c)

17

d)

755

65.

5 x 4 + 6

a)

50

b)

34

c)

26

d)

29

66.

What would be my first step to simplify?
3 + 4 x 6 - 4

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

67.

4 + 9 + 8 ÷ 4

a)

5.25

b)

5

c)

25

d)

15

68.

What does the ( E )in PEMDAS mean?

a)

experience

b)

exponents

c)

examples

d)

evidence

69.

8²-7²

a)

5

b)

2

c)

15

d)

1

70.

3²+4²-(4x2)

a)

14

b)

9

c)

9

d)

17

71.

True or False?
2 x 3 + 10 ÷ 2 = 8

a)

True

b)

False

72.

Which step would come first in the following problem:
6x7+(9-3)+2

a)

6x7

b)

7+9

c)

9-3

d)

3+2

73.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

74.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

75.

In the given relation, what domain value corresponds to the range value -2?
{(-1,2), (-2,4), (2,5), (0,-2), (2,0)}

a)

-2

b)

0

c)

2

d)

4

76.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

77.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

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

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

78.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

79.

What is the range?

a)

{-2, -1, 0, 3}

b)

{3, 0, -1, 0, -2}

c)

{-4, -2, 1, 2, 5}

d)

{-4, -2, -1, 0, 1, 2, 3, 5}

80.

Is the relation a function? Why?

a)

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

d)

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

81.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

82.

Is this table a function or not a function?

a)

Function

b)

Not a Function

83.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

84.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

85.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

86.

Select ALL of the functions.

a)

{ (a,z) , (b,z) , (c,z) }

b)

c)

d)

87.

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

a)

2x

b)

-3

c)

3

d)

10

88.

Given the function f(x) = 3x + 8 find the output when x = 2

a)

13

b)

14

c)

15

d)

16

89.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

90.

Find f(6)

a)

1

b)

2

c)

3

d)

4

91.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

92.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

93.

Given $f\left(x\right)=3x+9$ , find $f\left(-4\right)$ .

a)

$-3$

b)

$21$

c)

$8$

d)

$-12$

94.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

95.

Is the following an increasing or decreasing function?

a)

increasing

b)

decreasing

96.

Which statement is true about this graph?

a)

This function is always constant

b)

This function is always increasing

c)

This function is never increasing

d)

This function is both increasing and decreasing

97.

Determine if the graph is linear or nonlinear. Increasing,decreasing, both or neither?

a)

Linear; increasing

b)

Nonlinear; increasing

c)

Linear; both increasing and decreasing

d)

Nonlinear; both increasing and decreasing

98.

Where is the function increasing?

a)

y≤1

b)

y≥1

c)

y≥-2

d)

y≤-2

99.

Where is the function decreasing?

a)

y≤1

b)

y≥1

c)

y≤2

d)

y≥2

100.

What is the decreasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

101.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

102.

Where is the function decreasing?

a)

$\left(-\infty,-1\right)$

b)

$\left(-1,\infty\right)$

c)

$\left(-\infty,3\right)$

d)

$\left(3,\infty\right)$

103.

Where is the function decreasing?

a)

$\left(-\infty,-1\right)$

b)

$\left(-1,\infty\right)$

c)

$\left(-\infty,3\right)$

d)

$\left(3,\infty\right)$

104.

Where is the function increasing?

a)

\left(1,\infty\right)

b)

$\left(2,\infty\right)$

c)

$\left(-\infty,1\right)$

d)

$\left(-\infty,2\right)$

Accel Algebra Chapter 1 Review

Total questions: 104

Worksheet time: 6hrs 19mins

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