8th Grade Math: Simplifying Like Terms & Radicals

1. Sarah has 3x + 5x - 2y + 4y. Simplify the expression by combining like terms.

• 6x + 6y

• 8x - 2y

• 8x + 2y

• 5x + 3y

2. A garden has a length of (2√3) meters and a width of (3√3) meters. What is the area of the garden in square meters?

• 6 square meters

• 18 square meters

• 24 square meters

• 12 square meters

3. If 4x + 3 < 2x + 15, what is the solution for x?

• x < 4

• x > 6

• x = 6

• x < 6

4. The expression 6a + 2b - 4a + 3b can be simplified. What is the simplified expression?

• 2a + 5b

• 4a + 3b

• 2a + 2b

• 6a + 5b

5. A triangle has a base of (√16) cm and a height of (√9) cm. Calculate the area of the triangle.

• 8 cm²

• 4 cm²

• 10 cm²

• 6 cm²

6. If 5x - 7 > 3x + 5, what is the range of values for x?

• x > 6

• x < 0

• x < 6

• x = 6

7. Combine like terms in the expression 7m + 2n - 3m + 4n.

• 5m + 5n

• 3m + 2n

• 7m + 2n

• 4m + 6n

8. A rectangular pool has a length of (√25) meters and a width of (√16) meters. What is the perimeter of the pool?

• 18 meters

• 12 meters

• 16 meters

• 20 meters

9. If 2(x + 3) = 4x - 6, what is the value of x?

• 5

• 3

• 2

• 6

10. Factor the expression x² + 5x + 6.

• (x + 2)(x + 4)

• (x + 1)(x + 6)

• (x + 3)(x + 2)

• (x + 2)(x + 3)