Free Printable 2-Step Equations/Inequalities/Angles

1.

What is the first step in solving the equation?

a)

Add 4 to each side

b)

Subtract 4 from each side

c)

Subtract 2y from each side

d)

Divide each side by 2y

2.

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

3.

What is a 1-step problem?

a)

A problem where multiple operations are present.

b)

A problem where the variable is missing.

c)

An equation where only one step is needed to solve it.

d)

An equation where two steps are needed to solve it.

4.

What is a 2-step problem?

a)

An equation where 2 steps are needed to solve it.

b)

An equation where only one step is needed to solve it.

c)

A problem with only one operation present.

d)

A problem where you find the square-root of a number.

5.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

6.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

7.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

8.

Solve 2x -7 = -23

a)

-8

b)

8

c)

-7

9.

Solve 8 - 2x = 30

a)

-11

b)

11

c)

-12

d)

12

10.

Solve 7y - 4 = -11

a)

1

b)

2

c)

-1

d)

-2

11.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

12.

Solve 7 - 3y = 22

a)

-5

b)

5

c)

15

d)

-15

13.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

14.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

15.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

16.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

17.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

18.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

19.

Solve your answer will be apositive

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

20.

Solve

a)

5

b)

-6

c)

6

d)

21

21.

⅔x - 5 =7

a)

x=18

b)

x=10

c)

x=8

d)

x=11

22.

Solve.

a)

y = 16

b)

y = 96

c)

y = 1.5

d)

y = -16

23.

a)

19

b)

-9

c)

-100

d)

-50

24.

Use the model to to write the equation and SOLVE

a)

1

b)

-1

c)

2

d)

-2

25.

Write the equation for the model and solve.

a)

-5

b)

-15

c)

15

d)

5

26.

a)

A

b)

B

c)

C

d)

D

27.

Solve x + 2.3 = 3.07

a)

5.37

b)

0.77

c)

7.061

d)

1.33

28.

Is 13.7 the solution to b - 10.5 = 5.25

a)

yes

b)

no

29.

Is x = ¾ the solution to 9⅓ - x = 7

a)

yes

b)

no

30.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

31.

Solve the following inequality:
3x + 4 > 13

a)

x > 1

b)

x > 3

c)

x = 3

d)

x < 5

32.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

33.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

34.

Solve: -2x ≤ 14

a)

x ≤ 7

b)

x ≤ -7

c)

x ≥ 7

d)

x ≥ -7

35.

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

36.

Which solution
IS NOT valid for this inequality?
17 ≥ w

a)

w = 17

b)

w = 14

c)

w = 0

d)

w = 18

37.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

38.

16 - 4a > 8

a)

a<-2

b)

a>-2

c)

a<2

d)

a>2

39.

-9a - 1 < 26

a)

a<-3

b)

a<3

c)

a>-3

d)

a>3

40.

Determine if the given value makes the equation true or false. For 6x + 5 = 27, if x = 4

a)

True

b)

False

41.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

42.

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

43.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

44.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

45.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

a)

54

b)

45

c)

56

d)

65

46.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

47.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

48.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

a)

54

b)

45

c)

56

d)

65

49.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

50.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

51.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

52.

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

53.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

54.

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

a)

x/2 + 16= 36

b)

36 + 16 = x

c)

x/2 - 16 = 36

d)

x/2 = 36 + 16

55.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.

a)

10m + 35 = 115

b)

10m - 35 = 115

c)

115m + 35 = 10

d)

35m + 10 = 115

56.

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 Jim been a member of the gym?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

57.

The hole for a birdfeeder post is 3 feet deep. The top of the post needs to be at least 5 feet above the ground.

What is the key word or words that would tell you what inequality symbol to use to solve this problem?

(a)

58.

The hole for a birdfeeder post is 3 feet deep. The top of the post needs to be at least 5 feet above the ground.

Which of the following inequalities would correctly represent the required length of the post?

a)

x\ \ge\ 5

b)

$x\ \le\ 5$

c)

$x\ -\ 3\ \ge\ 5$

d)

$x\ +\ 3\le\ 5$

59.

You can spend no more than $35 on a shopping trip. You want to buy a shirt that costs $14. If you buy the shirt, how much money would you have left?

What is the key word or words that would tell you what inequality symbol to use to solve this problem?

(a)

60.

You can spend no more than $35 on a shopping trip. You want to buy a shirt that costs $14. If you buy the shirt, how much money would you have left?

What inequality symbol would you be using to solve this problem? (Assume your variable comes first.)

a)

>

b)

<

c)

$\le$

d)

$\ge$

61.

You can spend no more than $35 on a shopping trip. You want to buy a shirt that costs $14. If you buy the shirt, how much money would you have left?

Which inequality would help you solve this problem correctly?

a)

$x\ +\ 14\ \le\ 35$

b)

$x\ +\ 14\ \ge35$

c)

$x\ -\ 14\ \ge35$

d)

$x\ -\ 14\ \le\ 35$

62.

Each gumball in a gumball machine costs $0.25. You can spend no more than $2.50 in total on gumballs.

What inequality symbol would you use to represent this problem? (Assume the variable is on the left.)

a)

>

b)

<

c)

$\ge$

d)

$\le$

63.

Each gumball in a gumball machine costs $0.25. You can spend no more than $2.50 in total on gumballs.

Which inequality would represent how many gumballs you could buy?

a)

$0.25x\ <\ 2.50$

b)

$0.25x\ >\ 2.50$

c)

$0.25x\ \le\ 2.50$

d)

$0.25x\ \ge\ 2.50$

64.

You have $30 to buy baseball cards. Each pack of cards costs $5. Write an inequality that represents the number of packs of baseball cards you can buy and still have at least $10 left.

a)

$30\ -\ 5x\ \ge10$

b)

$30\ -\ 5x\ \le\ 10$

c)

$30\ -\ 5x\ <\ 10$

d)

$30\ -\ 5x\ >\ 10$

65.

You borrow $200 from a friend to help pay for a new laptop computer. You pay your friend back $12 per week. Write and solve an inequality to find when you will owe your friend less than $56.

Which one of the following inequalities would be the correct answer?

a)

x < 12

b)

x > 12

c)

x < 21

d)

x > 21

66.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

67.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

68.

To order from the kid's menu a person must be no more than 12 years old. Let k represent the kid's age.

a)

k > 12

b)

k < 12

c)

k ≥ 12

d)

k ≤ 12

e)

k = 12

69.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

70.

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

71.

Four times a number increased by 7 is at least 19.

a)

4x > 19

b)

4x + 7 ≥ 19

c)

4x < 19

d)

4x + 7 ≤ 19

72.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

a)

200 + 25x ≥ 500

b)

500 + 25x ≥ 200

c)

500 - 25x ≥ 200

d)

500 - 25x ≤ 200

73.

If m > 17, which is a possible value for m?

a)

12

b)

10

c)

23

d)

7

74.

If s ≤ 35, which is NOT a solution of the inequality?

a)

25

b)

35

c)

42

d)

30

75.

Match the inequality clue word with the correct inequality symbol. IS LESS THAN

a)

$\le$

b)

$\ge$

c)

$<$

d)

$>$

76.

Match the inequality clue word with the correct inequality symbol. IS GREATER THAN

a)

$\le$

b)

$\ge$

c)

$<$

d)

$>$

77.

Match the inequality clue word with the correct inequality symbol. IS MORE THAN

a)

$\le$

b)

$\ge$

c)

$<$

d)

$>$

78.

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

a)

3 + 5.5p < 10

b)

10 = 5.5 - 3p

c)

5.5 + 3p < 10

d)

3p + 5.5 ≤ 10

79.

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

a)

3.50 + 1.75t > 20

b)

1.75 + 3.50t ≤ 20

c)

3.50 + 1.75t ≥ 20

d)

1.75t + 3.50 ≤ 20

80.

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Define the variable.

a)

let x = Ruby

b)

let x = the number of weeks to reach her goal

c)

let x = her monthly allowance

d)

let x = her savings account

81.

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Write the inequality to the problem.

a)

5x+60 ≥ 200

b)

5x+60 ≤ 200

c)

60x+5 ≥ 200

d)

60x+5 ≤ 200

82.

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Solve the inequality/answer the question.

a)

x ≥ 28

b)

x ≤ 28

c)

x > 28

d)

x < 28

83.

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Define the variable.

a)

let x = Griffin

b)

let x = the dollar amount of sales

c)

let x = commission

d)

let x = weekly salary

84.

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Write the inequality to the problem.

a)

0.04x+300 ≥ 550

b)

0.04x+300≤ 550

c)

4x+300 ≥ 550

d)

4x+300 ≤ 550

85.

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Solve the inequality/answer the question.

a)

x ≥ $6250

b)

x ≤ $6250

c)

x ≥ $62.50

d)

x ≤ $62.50

86.

Find the measure of angle A.

a)

75^o

b)

60^o

c)

30^o

d)

38^o

87.

Find the measure of the unnamed angle with the expression "x + 67."

a)

75^o

b)

60^o

c)

30^o

d)

38^o

88.

Solve for x and then find the measure of angle A.

a)

180

b)

70

c)

54

d)

56

89.

Now that you have found x and the measure of angle A, find m<B.

a)

180

b)

70

c)

54

d)

56

90.

Now that you have found x and the measure of angle A, find m<C.

a)

180

b)

70

c)

54

d)

56

91.

Find the measure of angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

92.

Find the measure of <C.

a)

34

b)

46

c)

62

d)

36

93.

What is the measure of angle A in the triangle?

a)

116^o

b)

25^o

c)

62^o

d)

54^o

94.

What is the measure of angle B in the triangle?

a)

116^o

b)

25^o

c)

62^o

d)

54^o

95.

What is the value of x?

a)

20

b)

60

c)

15

d)

40

96.

What is the value of y?

a)

7

b)

4

c)

6

d)

14

97.

What is m∠RTS in the triangle below?

a)

59°

b)

75°

c)

78°

d)

81°

98.

If ∆JKL is isosceles, what is m∠KLJ?

a)

37°

b)

74°

c)

106°

d)

143°

99.

If ∆JKL is isosceles, what is m∠JKL?

a)

37°

b)

74°

c)

106°

d)

143°

100.

What is the value of "a"?

a)

75°

b)

65°

c)

55°

d)

85°

101.

What term is used to describe a pair, or group, of angles that equal 180 degrees?

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Congruent Angles

102.

What is the value of "a"?

a)

45

b)

55

c)

35

d)

65

103.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

104.

What is an example of a pair of complementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

105.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

106.

What kind of angles are shown?

a)

complementary

b)

supplementary

c)

adjacent

d)

corresponding

107.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

108.

If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?

a)

145

b)

55

c)

60

d)

65

109.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

110.

What is the value of "x"?

a)

19

b)

20

c)

21

d)

22

111.

What is the value of "x"?

a)

10

b)

11

c)

12

d)

13

112.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

113.

1. Find X

a)

28

b)

5

c)

55

d)

40

114.

1. Find ∠ AOC

a)

130

b)

50

c)

40

115.

2. Find X

a)

9

b)

27

c)

45

116.

2. FIND ∠SOR

a)

45

b)

135

c)

90

d)

180

117.

3. Find X

a)

59

b)

31

c)

177

118.

3. Find ∠NOQ

a)

31

b)

59

c)

180

d)

149

119.

4. Find X

a)

1

b)

30

c)

53

d)

10

120.

4. FInd ∠ JOM

a)

10

b)

170

c)

80

d)

100

2-Step Equations/Inequalities/Angles

Total questions: 120

Worksheet time: 8hrs 4mins

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