Two-Step Inequality Word Problems Quiz

Elizabeth is saving money to buy a new bicycle. She already has $5 and saves $3 more each week. How many weeks will it take for Elizabeth to have more than $17 saved up?

• More than 4 weeks

• Exactly 4 weeks

• Less than 4 weeks

• More than 17 weeks

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Graph the solution set for the two-step inequality: 2y - 4 < 10

• Graph the solution set as all values of y less than 7 on a number line.

• Graph the solution set as all values of y less than or equal to 7 on a number line.

• Graph the solution set as all values of y greater than or equal to 7 on a number line.

• Graph the solution set as all values of y greater than 7 on a number line.

Tags

CCSS.HSA.REI.B.3

Dallas went to a store that sells t-shirts for $12 each. He has at most $80 to spend. Write a two-step inequality to represent the number of t-shirts Dallas can buy.

• x > 80

• x <= 6

• x >= 6

• x < 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve the following two-step inequality: 2(3 - x) ≥ 10

• x ≥ 2

• x ≤ -2

• x ≤ 5

• x > 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Bree has $7 and wants to buy pencils that cost $2 each. Write an inequality to find out how many pencils (x) Bree can buy if she wants to spend less than $5 on pencils.

• x > 6

• x > 10

• x < 6

• x < 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Graph the solution set for the two-step inequality: 3y + 2 > 8

• Graph with a shaded region to the left of 8 on a number line.

• Graph with a shaded region to the right of 2 on a number line.

• Graph with a shaded region to the left of 2 on a number line.

• Graph with a shaded region to the right of 8 on a number line.

Tags

CCSS.HSA.REI.D.12

Elizabeth is planning a road trip and wants to rent a car from Anderson's Car Rentals, which charges $30 per day. She has budgeted at most $200 for the car rental. Write a two-step inequality to represent the number of days Elizabeth can rent the car for her trip.

• 30x ≤ 200

• 30x < 200

• 30x = 200

• 30x > 200

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Dallas is planning a road trip and needs to ensure that the weight in his car does not exceed the limit. If the weight limit is represented by 4(2 - x) and the maximum weight allowed is 12 pounds, what is the maximum value of x?

• x ≥ -1

• x ≤ 1

• x > -1

• x ≤ -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve the following two-step inequality: 5 - 3x > 2

• x < 1

• x > 1

• x ≤ 1

• x ≥ 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Graph the solution set for the two-step inequality: 4y + 3 ≤ 19

• Graph with a shaded region to the right of 4 on a number line.

• Graph with a shaded region to the left of 4 on a number line.

• Graph with a shaded region to the right of 19 on a number line.

• Graph with a shaded region to the left of 19 on a number line.

Tags

CCSS.HSA.REI.D.12