Free Printable Expressions, Equations, Inequalities

Worksheets

Expressions, Equations, Inequalities

Total questions: 45

Worksheet time: 3hrs 58mins

Name

Class

Date

The number before a variable is the _____.

term

constant

coefficient

variable

A letter that represents a number is called a _____.

variable

coefficient

constant

term

A number with no variable attached is called a _____.

coefficient

constant

variable

term

Evaluate the expression. Let a = 4
5a + 7a - 8

What is the coefficient in this expression?
3x+4-2

What is 5 less than the product of 6 and s?

6s - 5

5 - 6s

5 + 6 - s

6 - s -5

Evaluate n + 5² for n=3

What is the first step to solve this equation:
11 - 3x = 44

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides.

Which equation has x=9 as a solution

4 + x = 12

5x = 45

2x = 20

x + 7 = 26

10.

What is the solution of 42 = 7f

294

11.

4x + 7 = 23

x = 16

x = 4

x = 9

x = 12

12.

7 + ^a⁄₃= 5

a= -2

a= -6

a= 3

a= 15

13.

Solve 3x - 7 = 32

14.

Solve the inequality.
x + 5 ≤ 13

x ≥ 8

x ≥ 18

x ≤ 8

x ≤ 18

15.

When you graph an inequality, you used a closed dot when you use which symbols?

≤, ≥

<, >

16.

Pick the correct inequality.

17.

What are two solutions to x < 8?

8.6, 7.9

11, 16

0.8, 5.9

12, 7.1

18.

"At most" and "No more than" are both clue words for...

≤

≥

19.

The product of x and 7 is not greater than 10

7x >10

7x ≤ 10

7 + x < 10

⁷ / _x < 10

20.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

s < 55

s > 55

s ≤ 55

s ≥ 55

21.

Which inequality matches the graph?

22.

Which inequality matches the graph?

23.

less than

greater than

less than or equal to

greater than or equal to

24.

Match the graph with its inequality.

a < 11

a > 11

a ≥ 11

25.

When you graph an inequality, you used a closed dot when you use which symbols?

≤, ≥

<, >

26.

4h < 8

h < 32

h < 2

h < 4

27.

x $\le$ -2

x < -2

28.

Match the graph with its inequality.

b > –2

b < –2

b ≤ –2

29.

What inequality does the number line graph represent?

x ≤ -4

x ≥ -4

x < -4

30.

What inequality does the number line graph represent?

x≥ 3

x > 3

31.

The variable, k, is being divided by 11. How should you isolate the variable?

$16=\frac{k}{11}$

Divide both sides by 11

Multiply both sides by 11.

Add 11 to both sides.

Subtract 11 to both sides.

32.

A MATHEMATICAL STATEMENT THAT TWO OR MORE EXPRESSIONS ARE EQUAL.

EXPRESSION

EQUATION

INEQUALITY

33.

A COMBINATION OF VARIABLES, NUMBERS, AND AT LEAST ONE OPERATION THAT REPRESENTS A MATHEMATICAL RELATIONSHIP, BUT NO STATEMENT OF EQUALITY OR INEQUALITY.

EXPRESSION

EQUATION

INEQUALITY

34.

AN ALGEBRAIC RELATION SHOWING THAT A QUANTITY IS GREATER THAN OR LESS THAN ANOTHER QUANTITY.

EXPRESSION

EQUATION

INEQUALITY

35.

the difference if 3 times a number and 7

3 - 7n

3n - 7

3n + 7

3 / 7n

36.

a number more than 12

n + 12

12n

12 + n

12 - n

37.

2(x +3)

2x +3

2x + 6

6x + 3

38.

What is the distributive property?

For any numbers a, b, c,

a(b + c) = ab + ac

For any numbers a, b, and c,

a(b + c) = a + (b + c)

For any numbers a, b, c,

abc = a + b + c

For any number a, b, and c,

a(b + c ) = a(c + b)

39.

How can 4(3 +9) be expressed using the distributive property?

4(3) + 4(4 + 9)

4(3) + 4(9)

4 + 9 = 9 + 4

(4 + 3) x (4 + 9)

40.

3c + 5 = 23

c = 3

c = 6

c = 7

c = 18

41.

Solve 2x - 3 = 1

-2

42.

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

Add 62 to each side.

Subtract 62 from each side.

Multiply each side by 62.

Add 123 to each side.

43.

Level 2

Solve for a

a= -2

a= -7.5

a= 2

a= 6

44.

Level 3

Solve for a

a= -2

a= -6

a= 3

a= 15

45.

Level 3

Solve for x

x = 2

x = -2

x = -10

x = 4

100 %

Expressions, Equations, Inequalities

Total questions: 45

Worksheet time: 3hrs 58mins

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