Free Printable Simple Rational Equations & Number System Overview

1.

Solve for d. Simplify your answer.

$\frac{7}{6}d+\frac{3}{4}=-\frac{1}{3}$

a)

$\frac{5}{14}$

b)

$\frac{-13}{14}$

c)

$-1\ \frac{1}{14}$

d)

$1\ \frac{9}{14}$

2.

Solve for u. Simplify your answer.

5\ \frac{1}{2}+u=\frac{9}{4}

a)

$-\frac{3}{4}$

b)

$-3\ \frac{1}{4}$

c)

$7\ \frac{3}{4}$

d)

$\frac{31}{4}$

3.

Solve for c. Simplify your answer.

\frac{5}{9}c-\frac{3}{4}=\frac{7}{9}c

a)

$\frac{21}{48}$

b)

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

c)

$3\ \frac{3}{8}$

d)

$\frac{27}{8}$

4.

Solve for p. Simplify your answer.
$-\frac{2}{3}p+\frac{8}{3}=3p$

a)

$1\ \frac{1}{7}$

b)

$1\ \frac{3}{11}$

c)

$\frac{8}{7}$

d)

$\frac{8}{11}$

5.

Solve for v

\frac{v}{2.2}-.1=7.4

a)

18.48

b)

3.81

c)

3.4

d)

16.5

6.

a)

6/10

b)

1

c)

0

d)

9/25

7.

a)

2/8

b)

8/12

c)

12/8

d)

4

8.

a)

4/7

b)

28

c)

28/81

d)

1 3/7

9.

a)

⅗

b)

¾

c)

⅘

d)

3

10.

a)

4

b)

2

c)

1

d)

0

11.

a)

2/4

b)

1

c)

1/2

d)

2

12.

a)

1

b)

2

c)

3

d)

6

13.

a)

4/6

b)

3/8

c)

3/2

d)

5/5

14.

a)

2/3

b)

1/3

c)

3

d)

12

15.

a)

6/21

b)

2

c)

3 1/2

d)

3

16.

Solve for x: $\frac{5}{3}-\frac{2}{x}=\frac{8}{x}$

a)

$2$

b)

$\frac{18}{5}$

c)

$\frac{26}{5}$

d)

$6$

17.

Solve for y using the LCD

a)

y = -9

b)

y = -3

c)

y = 1

d)

y = 3

18.

Solve for x using the LCD

a)

6

b)

17/5

c)

19/2

d)

- 6

19.

Solve and check for extraneous solutions

a)

k = 20

b)

k = -20

c)

No Solution

d)

k = 3

20.

Solve.

a)

x = 4.5

b)

x = -4.5

c)

x = 3

d)

x = -3

21.

Solve for r

a)

5

b)

- 5, 4

c)

- 5

d)

5, 4

22.

a)

x = 8.9

b)

x = 16

c)

x = 9

d)

x = 12

23.

Based on the chart, how many subsets are within the integers set?

a)

1

b)

2

c)

3

d)

none

24.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

25.

Which number is a rational number ?

a)

1/4

b)

π

c)

√3

d)

∛25

26.

Which number is a rational number ?

a)

1/4

b)

π

c)

√3

d)

∛25

27.

Is the following number rational or irrational?
.737293787920917...

a)

Rational

b)

Irrational

28.

Zero

a)

Rational, Integer

b)

Rational

c)

Rational, Integer, Whole

d)

Rational, Integer, Whole, Natural

29.

Choose the best definition of the term INTEGERS...

a)

Whole numbers

b)

Negative numbers

c)

Negative Numbers and Positive Numbers

d)

Positive whole #s and their opposites and zero

30.

Choose the best definition of the term WHOLE NUMBERS...

a)

Numbers that have holes in them (like 0, 4, 8, etc.)

b)

Any positive #s

c)

1 and then +1 after that (1, 2, 3, 4, 5, 6...)

d)

Zero and the positive numbers with decimals of with .0

31.

What is another name for the counting numbers?

a)

Basic

b)

Natural

c)

Obvious

d)

Easy

32.

Integers are whole numbers and their ________.

a)

Inverses

b)

Reciprocals

c)

Square roots

d)

Opposites

33.

A rational number _____ be written as a fraction. If it is written as a decimal, the decimal ________ or _______ .

a)

Cannot; never terminates; never repeats.

b)

Cannot; terminates; repeats

c)

Can; terminates; repeats

d)

Can; terminates; never repeats

34.

Whole numbers are the natural numbers and _____.

a)

Negative numbers

b)

Fractions

c)

Zero

d)

Non-terminating decimals

35.

Irrational numbers _______ be written as fractions. If they are written as decimals, the decimals ________ and _______ .

a)

Cannot; never terminate; never repeat

b)

Cannot; terminate; never repeat

c)

Can; terminate; repeat

d)

Can; never terminate; repeat

36.

What set do the numbers 0, 95, and √144 belong to?

a)

Natural

b)

Integer

c)

Whole

d)

Rational

37.

Which of the following numbers is NOT an integer?

a)

- √36

b)

0

c)

8/4

d)

-0.15

38.

Which list shows only natural numbers?

a)

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

b)

1, 2, 3, 4, ...

c)

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

d)

All numbers are natural numbers

Simple Rational Equations & Number System Overview

Total questions: 38

Worksheet time: 38mins

Similar Resources on Wayground