Solving Inequalities & Word Problems in 8th Grade Math

1. Sarah has 3x + 5x apples. If she buys 4 more apples, how many apples does she have in terms of x?

• 3x + 4

• 8x + 5

• 7x + 4

• 8x + 4

Tags

CCSS.6.EE.B.6

2. A rectangle has a length of (2x + 3) meters and a width of (x + 1) meters. What is the area of the rectangle in terms of x?

• x^2 + 3x + 1

• 2x^2 + 5x + 3

• 2x^2 + 4x + 2

• 4x + 3

Tags

CCSS.HSA.APR.A.1

3. If 5y - 2 < 3y + 6, what is the solution for y?

• y < 4

• y < 2

• y = 4

• y > 4

4. A school is planning a field trip and needs to raise at least $200. If each ticket costs $10, how many tickets must they sell to meet their goal?

• 25

• 15

• 20

• 30

Tags

CCSS.6.EE.B.8

5. The sum of a number and its double is greater than 30. Write an inequality to represent this situation and solve for the number.

• x = 15

• x < 5

• x ≤ 10

• x > 10

Tags

CCSS.7.EE.B.4B

6. If the square root of a number is 7, what is the number?

• 64

• 36

• 49

• 14

Tags

CCSS.8.EE.A.2

7. A gardener has 2x + 3y flowers. If he gives away 4 flowers, how can you express the remaining flowers in terms of x and y?

• 2x + 3y + 4

• 2x + 3y - 2

• x + y - 4

• 2x + 3y - 4

Tags

CCSS.6.EE.A.2A

8. The total cost of 3 shirts and 2 pairs of pants is less than $50. If each shirt costs $15 and each pair of pants costs $20, write an inequality to represent this situation and solve for the number of shirts and pants.

• The possible combinations of shirts and pants are: (0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,1), (3,0).

• (0,3), (1,3), (2,2)

• (3,1), (3,2), (4,0)

• (1,3), (2,3), (3,3)

9. If 4(x - 2) = 12, what is the value of x?

• 7

• 5

• 10

• 3

Tags

CCSS.7.EE.B.4A

10. A car rental company charges a flat fee of $50 plus $0.25 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive?

• 200 miles

• 300 miles

• 250 miles

• 150 miles

Tags

CCSS.7.EE.B.4B