Free Printable Chapter R Test Review

1.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

2.

True or False: All whole numbers are rational

a)

True

b)

False

3.

True or False: Both rational and irrational numbers are real.

a)

True

b)

False

4.

True or False: If a number can be written as a fraction, it is rational.

a)

True

b)

False

5.

Which of these numbers is a whole number?

a)

√25

b)

0

c)

9

d)

All of the above

6.

Name the set or sets to which each real number belongs.
$\frac{13}{3}$

a)

Natural Number

b)

Whole Number

c)

Integer

d)

Rational

e)

Irrational

7.

Name the set or sets to which each real number belongs.
$-6$

a)

Natural Number

b)

Whole Number

c)

Integer

d)

Rational

e)

Irrational

8.

What is set of numbers that includes all positive and negative whole numbers?

a)

Whole Numbers

b)

Integers

c)

Rational Numbers

d)

Natural Numbers

9.

Choose the number that applies to these sets: Real, Rational, Integer

a)

-27

b)

⅔

c)

¼

d)

0.01

10.

Which name does not apply to this number?
-17.84

a)

rational number

b)

real number

c)

irrational number

11.

xyz • 1/xyz = 1

a)

Inverse Property of Addition

b)

Identity Property of Multiplication

c)

Zero Property

d)

Multiplicative Inverse Property

12.

3m(m + 4n - 6g) = 3m² + 12mn - 18mg

a)

Transitive Property

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Distributive Property

13.

(x + y) • 0 = 0

a)

Substitution Property

b)

Distributive Property

c)

Zero Property

d)

Inverse Property of Multiplication

14.

-x + x = 0

a)

Additive Inverse Property

b)

Identity Property of Addition

c)

Commutative Property of Multiplication

d)

Associative Property of Addition

15.

1 • g³ = g³

a)

Inverse Property of Multiplication

b)

Zero Property

c)

Transitive Property

d)

Identity Property of Multiplication

16.

a² + (b² + c²) = (a² + b²) + c²

a)

Commutative Property of Addition

b)

Zero Property

c)

Associative Property of Addition

d)

Identity Property of Addition

17.

(x•y) • z = z • (x•y)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Identity Property of Multiplication

18.

-3(a+c) = -3a-3c

a)

Transitive Property

b)

Distributive Property

c)

Symmetric Property

d)

Commutative Property of Multiplication

19.

12 • 1/12 = 1

a)

Identity Property of Multiplication

b)

Associative Property of Multiplication

c)

Commutative Property of Multiplication

d)

Inverse Property of Multiplication

20.

(5•2) • 4 = 5 • (2•4)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Transitive Property

d)

Symmetric Property

21.

5+1 = 1+5

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Inverse Property of Addition

d)

Distributive Property

22.

|-6|

a)

6

b)

-6

c)

0

d)

-5

23.

-|18|

a)

18

b)

-18

c)

17

d)

-17

24.

-|-28|

a)

28

b)

-28

c)

29

d)

-29

25.

|16| - |-5|

a)

21

b)

-21

c)

11

d)

-11

26.

-|14 + 8|

a)

22

b)

6

c)

-6

d)

-22

27.

|-3| + |19|

a)

16

b)

22

c)

-16

d)

-22

28.

-|9| + |-5|

a)

-14

b)

14

c)

-4

d)

4

29.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

30.

Simplify (-1/2)⁰

a)

1

b)

0

c)

-1

d)

-2

31.

(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

32.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

33.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

34.

a)

32t¹¹r⁸

b)

32t³⁰r¹⁵

c)

-32t³⁰r¹⁵

d)

-32t¹¹r⁸

35.

What is the value of $\frac{9x^3yz}{3xyz}$ ?

a)

$3x$

b)

$3x^2$

c)

$3x^3$

d)

$3x^5$

36.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

37.

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

38.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

39.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

40.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

41.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

42.

Factor completely: w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

43.

Factor the polynomial.
x²-4x-32

a)

(x-8)(x+4)

b)

(x-4)(x-32)

c)

(x+3)(x-4)

d)

x+2)(x+5)

44.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

45.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

46.

Factor the polynomial:
5x² - 13x + 6

a)

(x + 3)(5x - 2)

b)

(x - 2)(5x - 3)

c)

(x + 2)(5x + 3)

d)

(x - 3)(5x + 2)

47.

Which expression is equivalent to $\frac{36a^2b\ +\ 48a}{6a}$ ?

a)

$6a$

b)

$6a\ +\ 8$

c)

$\frac{1}{\left(6ab\ +\ 8\right)}$

d)

$36b\ +\ 48$

48.

Simplify $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$

a)

$\frac{n-3}{n-8}$

b)

$\frac{n-3}{\left(n+5\right)\left(n-8\right)}$

c)

$\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$

d)

$\frac{n^2+2n-14}{2n-3}$

49.

$\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$

a)

$\frac{2}{m-64m^2}$

b)

$\frac{16m^2}{8m^2\left(m-8\right)}$

c)

$\frac{2}{64m^4\left(m-8\right)}$

d)

$\frac{2}{m-8}$

50.

Simplify $\frac{7n}{3n-18}+\frac{n+3}{3}$

a)

$\frac{8n+3}{3n-15}$

b)

$\frac{n^2+4n-18}{3\left(n-6\right)}$

c)

$\frac{7\left(n+3\right)}{3\left(3n-18\right)}$

d)

$\frac{7n+n+3}{3n-18+3}$

51.

$\sqrt{96}$

a)

$16\sqrt{6}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

d)

$\sqrt{2}$

52.

$\sqrt{63}$

a)

$9\sqrt{7}$

b)

$6\sqrt{2}$

c)

$7\sqrt{6}$

d)

$3\sqrt{7}$

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

$2\ \sqrt{7}\ -5\ \sqrt{7}$

a)

$3\sqrt{7}$

b)

$-3\sqrt{7}$

c)

$7\sqrt{7}$

56.

$2\sqrt{8}\ +\ 3\sqrt{2}$

a)

$4\sqrt{2}$

b)

$7\sqrt{2}$

c)

$5\sqrt{2}$

57.

$\sqrt[]{75}-\sqrt[]{27}$

a)

$2\sqrt[]{3}$

b)

$-2\sqrt[]{3}$

c)

$3\sqrt[]{2}$

d)

$-3\sqrt[]{2}$

58.

Rationalize the denominator.

$\frac{4}{\sqrt{5}}$

a)

$\frac{4\sqrt{5}}{5}$

b)

$\frac{\sqrt{5}}{4}$

c)

$\frac{\sqrt{6}}{3}$

d)

$\frac{5\sqrt{2}}{2}$

59.

Rationalize the denominator.
$\frac{5}{6\sqrt{2}}$

a)

$\frac{5\sqrt{2}}{6\sqrt{4}}$

b)

$\frac{5\sqrt{2}}{12}$

c)

$\frac{30\sqrt{2}}{24}$

d)

$\frac{\sqrt{10}}{5}$

60.

Rationalize each denominator. Simplify the answer. $\frac{4}{1\ +\sqrt{3}}$

a)

$2\ -2\sqrt{3}$

b)

$-2\ +2\sqrt{3}$

c)

$4\ -2\sqrt{3}$

d)

$-4\ -2\sqrt{3}$

61.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

62.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

63.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

64.

$x\ =\ \frac{\left(4-k\right)}{6}$

Solve for k:

a)

$k=6x\ -4$

b)

$k\ =\ \frac{\left(x-6\right)}{4}$

c)

k = 24-x

d)

$k=\ 4-6x$

65.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

66.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

67.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

68.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

69.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

70.

What is the Domain?

a)

y ≥ 6

b)

$-\infty<x<\infty$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

Chapter R Test Review

Total questions: 70

Worksheet time: 1hrs 10mins

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