Free Printable One Step Equations and Inequalities

1.

.

When graphing an inequality, you use a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

2.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

3.

What is the name of this symbol?

≤

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

4.

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

a)

Divide both sides by 11

b)

Add 11 to both sides.

c)

Multiply both sides by 11.

d)

Subtract 11 to both sides.

5.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

6.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

9t = 25

c)

t + 9 = 25

d)

t/9 = 25

7.

What is the inverse operation of division?

a)

Division

b)

Addition

c)

Multiplication

d)

Subtraction

8.

From this equation, name the variable. 3x=73x=7

a)

7

b)

3

c)

-4

d)

x

9.

Mathematically, what is the 10 doing to the x?

10x=90

a)

Adding 10

b)

Subtracting 10

c)

Multiplying 10

d)

Dividing 10

10.

.

Solve the inequality.

a)

x ≥ 8

b)

x ≤ 8

c)

x ≥ 18

d)

x ≤ 18

11.

What are two solutions to x < 8?

a)

8, 6, 7, 9

b)

0, 8, 5, 9

c)

11, 16

d)

1, 7, 12

12.

Choose the correct expression that represents 7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

13.

8.9 + j = 12.8

a)

j = 21.7

b)

j = 1.4

c)

j = 3.9

d)

j = 4.1

14.

Describe the graph for the solution for the following inequality:

a + 13 ≥ 20

a)

Closed circle; arrow pointing left

b)

Closed circle; arrow pointing right

c)

Open circle; arrow pointing left

d)

Open circle; arrow pointing left

15.

It costs $640 to put on the school play. How many tickets must be sold at $8 each in order to pay for the cost of the play?

a)

80 tickets

b)

65 tickets

c)

5120 tickets

d)

8 tickets

16.

Write an equation for the model above.

a)

x+3=−9

b)

3x+1=9

c)

x−3=9

d)

3x−1=9

17.

Shari wants to spend at most 40 minutes on social studies and science homework. She already spent 23 minutes on her social studies homework. How how much time can Shari spend on her science homework?

a)

s ≤ 17

b)

s ≥ 63

c)

s ≥ 17

d)

s≤ 63

18.

Laurie rode her bike 17.5 miles in 2 hours. She uses this equation to represent the relationship between her time and distance.

2x = 17.5

What does the solution x= 8.75 represent?

a)

The distance Laurie rode her bike.

b)

The distance Laurie traveled per hour.

c)

The time Laurie spent riding her bike.

d)

Not here

19.

Javier scored 214.8 playing the first round of a video game. His sister played the second round and scored 198.4 points. Using the equation x-214.8 = 198.4, which of the following best represents the total points scored after the second round?

a)

16.4 points

b)

313.2 points

c)

302.2 points

d)

413.2 points

20.

Greg wrote in his math journal that 17 - x = 9 is an example of an algebraic equation. Which statement is true about the example Greg wrote in his math journal?

a)

Greg's example is an equation because there is a variable present.

b)

Greg's example is an equation because x can represent any value.

c)

Greg's example is an equation because it is a number sentence stating two amounts are equivalent.

d)

Greg's example is an equation because there are two numbers present.

21.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x > 4

22.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 2

c)

x < -3

d)

x ≤ 6

23.

What inequality does the number line graph represent?

a)

5 ≥ x

b)

x < 0

c)

x > -1

d)

x ≥ −5

24.

What inequality does the number line graph represent?

a)

x > -4

b)

x > 4

c)

x < 4

d)

x ≤ -1

25.

x + 9 = 14

a)

x = 6

b)

x = -6

c)

x = 23

d)

x = 5

26.

c - 18 = 24

a)

c = 42

b)

c = 6

c)

c = -6

d)

c = 1.3

27.

8.9 + j = 12.8

a)

j = 21.7

b)

j = 3.9

c)

j = 1.4

d)

j = 4.1

28.

k÷8 = 4

a)

k = 24

b)

k = 32

c)

k = 0.5

d)

k = -4

29.

-12p = 60

a)

p = 5

b)

p = -5

c)

p = 48

d)

p = -48

30.

x - 41 > 22

a)

x < 63

b)

x > -19

c)

x < -19

d)

x > 63

31.

Solve:
45p > 315

a)

p > 270

b)

p < 270

c)

p > 7

d)

p < 7

32.

Which of the following equations has a solution of 4?

a)

-6x = 24

b)

$\frac{x}{12}=\ 3$

c)

x + 17 = 21

d)

x - 8 = 4

33.

Which of the following shows the inequality solved and graphed correctly?

a)

A

b)

B

c)

C

d)

D

34.

t + 250 $\le$ 600

a)

t $\ge$ 350

b)

t $\le$ 850

c)

t $\le$ 350

d)

t $\ge$ 850

35.

5x $<$ 30

a)

b)

c)

d)

36.

What value of x makes this equation true?

-90 = -100 + x

a)

-10

b)

10

c)

-190

d)

190

37.

Which model shows two equal expressions when the value of x is 4?

a)

b)

c)

d)

38.

$\frac{x}{5}=10$

a)

x = 2

b)

x = 5

c)

x = 50

d)

x = 15

39.

x - 8 $<$ -13

a)

x $<$ -5

b)

x $<$ 5

c)

x $<$ -21

d)

x $<$ 21

40.

-9x $\ge$ -99

a)

x $\ge$ 11

b)

x $\le$ 11

c)

x $\ge$ -90

d)

x $\le$ 90

41.

m + 14 = 26

a)

m = 12

b)

m = 40

c)

m = -12

d)

m = -40

42.

Which inequality is true if p = 3.4?

a)

3p < 10.2

b)

13.6 ≤ 3.9p

c)

5p > 17.1

d)

8.5 ≥ 2.5p

43.

3w = 9.75

a)

w = 29.25

b)

w = 3.25

c)

w = 3.15

d)

w = 27.75

44.

Solve the Inequality

25\ \ge\ n\ +13

a)

$12\ \ge n$

b)

$38\ \ge\ n$

c)

$14\ \le\ n$

d)

$12\ \le\ n$

45.

Solve the following Inequality.

\frac{r}{3}\ >\ 6

a)

r > 3

b)

r > 18

c)

r < 18

d)

r < 3

46.

Solve the following Inequality.

12n\ \ge\ 84

a)

$n\ \ge72$

b)

$n\ \ge\ 7$

c)

$n\ \le\ 12$

d)

$n\ \ge\ 98$

47.

Solve the following Inequality.

a - 17 > -16

a)

a > 2

b)

a > 1

c)

a > -1

d)

a > 23

48.

Solve the following Inequality.

\frac{x}{2}\ >\ 9

a)

$x\ >\ 18$

b)

$x\ <\ 18$

c)

$x\ >\ 7$

d)

$x\ \ge\ 11$

49.

Solve the following Inequality.

5x\ \le\ 10

a)

$x\ \le\ 2$

b)

$x\ \le\ 15$

c)

$x\ \le\ 5$

d)

$x\ \ge\ 2$

50.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

51.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

52.

m+13=21

a)

m=34

b)

m=8

c)

m=273

d)

m=6

53.

Solve for y:
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

54.

What equation is modeled here?

a)

x - 6 = 13

b)

x + 6 = 12

c)

x + 6 = 13

d)

x6 = 13

55.

Solve:

a)

96

b)

-96

c)

4

d)

-4

56.

Solve:

a)

-12

b)

-8

c)

12

d)

8

57.

Which inequality is represented by the following graph

a)

x < -8

b)

x > -8

c)

x ≥ -8

d)

x ≤ -8

58.

Which inequality is represented by the following graph

a)

x > 9

b)

x < 9

c)

x ≥ 9

d)

x ≤ 9

59.

Match the following expressions to the operations shown.

a)

x-12

1.

Subtraction

b)

$\frac{n}{5}$

2.

Division

c)

9y

3.

Multiplication

d)

9+n

4.

Addition

60.

Match the following operation to it's opposite operation.

a)

Multiplication

1.

Division

b)

Addition

2.

Substitution

c)

Substitution

3.

Addition

d)

Division

4.

Multiplication

61.

What operation would we use to solve this equation?

$3x=6$

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

62.

What operation would we use to solve this equation?

$\frac{x}{3}=6$

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

63.

Which equation matches the image?

a)

x - 3 = 8

b)

x + 3 = 8

c)

3x = 8

d)

3x = 9

64.

Solve for x

a)

x = 4

b)

x = 1

c)

2x = 4

d)

x = 2

65.

Solve the following equation:

$b-16=19$

66.

Solve the following equation:

$7x=28$

67.

1. Ted bought a dolphin poster for $12. He now has $5. Which choice models this situation?

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

68.

$\frac{2}{3}x=12$

Solve for x.

69.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

70.

.

Solve the inequality.

a)

x ≥ 8

b)

x ≤ 8

c)

x ≥ 18

d)

x ≤ 18

71.

It costs $640 to put on the school play. How many tickets must be sold at $8 each in order to pay for the cost of the play?

a)

80 tickets

b)

65 tickets

c)

5120 tickets

d)

8 tickets

72.

Shari wants to spend at most 40 minutes on social studies and science homework. She already spent 23 minutes on her social studies homework. How how much time can Shari spend on her science homework?

a)

s ≤ 17

b)

s ≥ 63

c)

s ≥ 17

d)

s≤ 63

73.

Solve the inequality
x - 2 < 5

a)

x < 3

b)

x ≥ 7

c)

x < 7

d)

x ≤ 7

74.

Solve the inequality
12 ≥ 6w

a)

w > 2

b)

w < 2

c)

w ≥ 2

d)

w ≤ 2

75.

On Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.

a)

s ÷ 4 ≥ 6

b)

s ÷ 4 ≤ 6

c)

s ÷ 6 ≥ 4

d)

s ÷ 6 ≤ 4

76.

Translate the following words into an inequality

"four more than a number is less than 17"

a)

x + 4 > 17

b)

x + 4 ≤ 17

c)

x + 4 < 17

d)

x < 17 + 4

77.

Write the inequality:
You have to be 54 inches or taller to ride the American Eagle

a)

x > 54

b)

x < 54

c)

x ≥ 54

d)

x ≤ 54

78.

5. After dropping 5ºF, the temperature was 37ºF. Which choice models this situation?

a)

d - 37 = 5

b)

d + 5 = 37

c)

d - 5 = 37

d)

d + 37 = 5

One Step Equations and Inequalities

Total questions: 78

Worksheet time: 2hrs 43mins

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