Free Printable 1 and 2-Step Inequalities Word Problems

1.

Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.

a)

60≥22x-8

b)

22-8x≥60

c)

22x+8≤60

d)

22+8x≤60

2.

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

3.

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

a)

14≥2n+3

b)

2+3n≤14

c)

14-3n≤2

4.

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

a)

300x + 10 ≥ 2000

b)

10x + 300 ≤ 2000

c)

10x + 300 > 2000

d)

300 + 10x ≥ 2000

5.

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

a)

106 - 4x ≤ 70

b)

70 + 4x ≤ 106

c)

4x - 106 ≥ 70

d)

106 - 4x< 70

6.

Deena has $230 in her bank account. She wants to buy each of the 3 other members in her family a gift. Deena wants to spend the same amount on each family member and have at least $50 left in her account. Which inequality could be used to find how much Deena can spend on each gift?

a)

50 +_ 3x $\ge$ 230

b)

230 - 3x $\ge$ 50

c)

230 - 3x $\le$ 50

d)

230 + 3x $\le$ 50

7.

Josh wants to spend less than $80 to buy 4 shirts and a pair of pants. The pants cost $24. If the shirts all cost the same amount, which inequality can be used to find how much Josh can spend on each shirt?

a)

$4s+24>80$

b)

$4s+24<80$

c)

$4s+24\le80$

d)

$4s+24\ge80$

8.

Joan made over $300 working at a restaurant. She made $205 in tips and worked 6 hours. Which of the following could be used to find how much Joan makes per hour?

a)

$205+6x>300$

b)

$205x+6\ge300$

c)

$205-6x\ge300$

d)

$205+6x\ge300$

9.

Four times a number increased by 13 is at least 52.

a)

$4+13x\le52$

b)

$4x+13\ge52$

c)

$4x+13\le52$

d)

$4\left(x+13\right)\ \ge52$

10.

Two less than 6 times a number is below 34

a)

$6x-2\le34$

b)

$2-6x<34$

c)

$6x-2<34$

d)

$2-6x<34$

1 and 2-Step Inequalities Word Problems

Total questions: 10

Worksheet time: 20mins

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