Combine Like Terms & Distributive Property Practice

• 8x
• 4
• +
• 2
• 6

• -

• 2x

• 5x

Answer explanation

Combine like terms: 3x + 5x = 8x and -2 + 4 = 2. Thus, the simplified expression is 8x + 2.

Answer explanation

To simplify 4(2x + 3), apply the distributive property: 4 * 2x + 4 * 3 = 8x + 12. The correct answer is 8x + 12, not 6x + 12.

Answer explanation

The perimeter of a rectangle is calculated by adding the lengths of all sides. Since a rectangle has two lengths and two widths, the formula is 2l + 2w, which matches the correct choice.

Answer explanation

The area of a rectangle is calculated by multiplying the length (l) by the width (w). Therefore, the correct expression for the area is lw, which represents length times width.

• 4

• 8

• 11

• x

• 6

• 5

• 2

Answer explanation

To evaluate the expression 2x + 3 when x = 4, substitute 4 for x: 2(4) + 3 = 8 + 3 = 11. Therefore, the correct answer is 11.

• 4y

• -

• 2

• 10y

• +

• 10

• 6

Answer explanation

To simplify the expression, combine like terms: 7y - 3y = 4y and 4 - 6 = -2. Thus, the simplified expression is 4y - 2, which matches the correct answer.

Answer explanation

To simplify 5(3x - 2), apply the distributive property: 5 * 3x = 15x and 5 * -2 = -10. Thus, the expression simplifies to 15x - 10.

• 5

• 4

• 15

• -

• 11

• +

• 19

• 8

Answer explanation

To evaluate 3x - 4 when x = 5, substitute 5 for x: 3(5) - 4 = 15 - 4 = 11. The correct answer is 11.

Answer explanation

Combine like terms: 9a + 2a = 11a and -5 + 3 = -2. Thus, the expression simplifies to 11a - 2, which matches the correct answer.

Answer explanation

To simplify 6(x + 4) using the distributive property, multiply 6 by both x and 4: 6 * x + 6 * 4 = 6x + 24. Thus, the correct answer is 6x + 24.