Grade 8 Math: Factoring & Solving Inequalities Quiz

1. Sarah has 3x + 5 and 2x + 7. What is the sum of these like terms?

• 5x + 12

• 3x + 5

• 6x + 8

• 4x + 10

Tags

CCSS.HSA.APR.A.1

2. If the area of a square is represented by the expression x^2 + 4x + 4, factor this expression to find the length of one side.

• x + 1

• x + 3

• x + 2

• x + 4

Tags

CCSS.HSA.APR.C.4

3. A rectangle has a length of (2x + 3) and a width of (x + 1). Write an expression for the perimeter and simplify it.

• 4x + 6

• 5x + 7

• 7x + 9

• 6x + 8

Tags

CCSS.7.EE.A.1

4. The sum of a number and its square is 20. Create an inequality to represent this situation and solve for the number.

• x = -4

• x = 4 or x = -5

• x = 3

• x = 5

Tags

CCSS.HSA-REI.B.4B

5. If 5 times a number decreased by 3 is greater than 12, write the inequality and solve for the number.

• x > 3

• x = 3

• x < 3

• x ≥ 3

Tags

CCSS.7.EE.B.4B

6. A triangle has a base of (x + 2) and a height of (2x - 1). Write the formula for the area and rearrange it to solve for x when the area is 15.

• 6

• 5

• 3

• 4

Tags

CCSS.8.EE.C.7B

7. Factor the quadratic expression 2x^2 + 8x to find the values of x.

• x = 0, x = -4

• x = 2, x = -2

• x = 1, x = -5

• x = 3, x = -3

Tags

CCSS.HSA-REI.B.4B

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

• 1

• 0

• 3

• 2

9. A car travels at a speed of (3x + 5) miles per hour. If it travels for 2 hours, write an expression for the distance and simplify it.

• 6x + 15

• 5x + 10

• 6x + 10

• 3x + 5

10. The expression 4√(x^2) + 8√(x^2) can be simplified. What is the simplified form of this expression?

• 12x^2

• 8x

• 4x

• 12|x|