Free Printable Two Step Equation and Inequalities Practice

1.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

2.

12g - 5 = 19

Which is the correct 1st step?

a)

Add 12 to both sides

b)

Add 5 to both sides

c)

Add 19 to both sides

3.

$12g-5=19$

\ \ \ \ \ \ \ +5\ \ \ \ +5\ \ \ \ \ \ \ \

12g\ \ \ \ \ \ \ =\ 24

What is the next step?

a)

Multiply both sides by 12

b)

Divide both sides by 12

c)

Multiply both sides by 24

d)

Divide both sides by 24

4.

2t -7 = 3

Find the value of t

a)

-2

b)

2

c)

5

d)

20

5.

10 = 2d - 5

What is the value of d?

a)

2.5

b)

7.5

c)

15

d)

20

6.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

a)

Addition

1.

Subtraction

b)

Subtraction

2.

Addition

c)

Multiplication

3.

Division

d)

Division

4.

Multiplication

7.

Solve

$5=\frac{t}{2}-3$

(a)

8.

After you subtract 5 from both sides of the equation (3x + 5 = 20) what will the equation look like?

a)

3x = 25

b)

3x = 20

c)

3x = 3

d)

3x = 15

9.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

10.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

11.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

12.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

13.

solve: 6x - 5 = 13

4 lines

14.

solve: 7x - 4 = 24

4 lines

15.

solve: 2s - 4 = 6

4 lines

16.

solve: 2x - 3 = 1

4 lines

17.

m/9 - 1 = -2

a)

6

b)

9

c)

-9

18.

7(9 + K)= 84

k =____________

a)

3

b)

-3

c)

5

19.

6 = a/4 + 2

a)

16

b)

15

c)

14

20.

2x - 8 = 6

a)

3

b)

8

c)

7

21.

9x -7 = -7

a)

4

b)

0

c)

5

22.

-9x-13= -103

a)

15

b)

10

c)

12

23.

8 + b/-4 = 5

a)

12

b)

-12

c)

6

24.

-9x + 1 = -80

a)

-9

b)

9

c)

6

25.

Which equation shows the results of undoing the multiplication in the equation?

5x=-20

a)

$x=4$

b)

$x=25$

c)

$x=-15$

d)

$x=-4$

26.

True or False:

10 + 3k < 22

Answers in the solution set will be negative

a)

True

b)

False

27.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

28.

22 < 6c + 4

a)

11 > c

b)

3 > c

c)

11 < c

d)

3 < c

29.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

30.

Solve the inequality $18<\frac{x}{4}-2$

a)

$80<x$

b)

$5<x$

c)

$4<x$

d)

$64<x$

31.

Which 3 values would make $-3<\frac{3}{4}x$ true?

a)

-2, 0, 12

b)

-4, -7, -16

c)

0, -7, 13

d)

23, -4, -10

32.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

33.

2- 3x ≤ 20

a)

x ≥ -6

b)

x ≤ -6

c)

x ≤ -7

d)

x ≥ -7

34.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

35.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

36.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

37.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

38.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

39.

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

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

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

40.

Solve the inequality.
0 ≥ -5x - 5

a)

x < -1

b)

x > -1

c)

x ≤ -1

d)

x ≥ -1

41.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

42.

-12x + 1 > -47

a)

x > 4

b)

x < 4

c)

x < -4

d)

x > -4

43.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has he been a member at the gym?

a)

12

b)

17

c)

64.5

d)

15

44.

Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?

a)

22.50 - x > 32

b)

22.50x > 32

c)

22.50 + x > 32

d)

22.50 +x < 32

45.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

46.

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

a)

50 + 3.5x < 71

b)

71 - 3.5x < 50

c)

71 - 3.5x ≤ 50

d)

71 + 3.5x < 50

47.

TRUE or FALSE: Inequalities contain equal signs.

a)

TRUE

b)

FASLE

48.

What does inequality mean?

a)

equal

b)

not equal

49.

A variable is represented as a....

a)

Number

b)

Letter

50.

What is the coefficient?

a)

Numbers that stand alone.

b)

A letter (a-z) that represents an unknown number.

c)

The number in front of the variable.

51.

A multi-step equation is an equation that requires more than (a) step to solve it.

52.

What is the first step in solving the equation below?

12 + 5w - 4w = 15

a)

combine like terms

b)

distribute

c)

start with the upside down T

53.

What is the first step in solving the equation 4(a - 5) = 10

a)

combine like terms

b)

distribute the 4

c)

start with the upside down T

54.

Solve the 1-step equation:

-7m = 28

a)

4

b)

21

c)

35

d)

-4

55.

Solve the 2-step equation:

\frac{x}{3\ }+\ 10\ =\ 15

a)

75

b)

15

c)

25

d)

5

56.

Solve the multi-step equation:

9w + 3w = 36

Hint: you have to combine like terms and then solve.

a)

3

b)

12

c)

24

57.

Solve the multi-step equation:

2(a + 4) = 20

Hint: you have to distribute and then solve.

a)

0

b)

6

c)

12

58.

What is the first step you would do to solve the following equation?

2x - 14 = 34

a)

Add 14 to both sides

b)

Subtract 14 from both sides

c)

Divide both sides by 2

d)

Combine like terms

59.

What would be SECOND step when solving the following equation?

2x - 14 = 34

a)

Add 14 to both sides

b)

Subtract 14 from both sides

c)

Divide both sides by 2

d)

Combine like terms

60.

Solve the following two-step equation

2x - 14 = 34

a)

x = 10

b)

x = 48

c)

x = 40

d)

x = 24

Two Step Equation and Inequalities Practice

Total questions: 60

Worksheet time: 4hrs 19mins

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