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8th Grade Math: Simplifying Like Terms & Radicals

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

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

a)

6x + 6y

b)

8x - 2y

c)

8x + 2y

d)

5x + 3y

2.

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?

a)

6 square meters

b)

18 square meters

c)

24 square meters

d)

12 square meters

3.

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

a)

x < 4

b)

x > 6

c)

x = 6

d)

x < 6

4.

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

a)

2a + 5b

b)

4a + 3b

c)

2a + 2b

d)

6a + 5b

5.

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

a)

8 cm²

b)

4 cm²

c)

10 cm²

d)

6 cm²

6.

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

a)

x > 6

b)

x < 0

c)

x < 6

d)

x = 6

7.

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

a)

5m + 5n

b)

3m + 2n

c)

7m + 2n

d)

4m + 6n

8.

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

a)

18 meters

b)

12 meters

c)

16 meters

d)

20 meters

9.

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

a)

5

b)

3

c)

2

d)

6

10.

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

a)

(x + 2)(x + 4)

b)

(x + 1)(x + 6)

c)

(x + 3)(x + 2)

d)

(x + 2)(x + 3)