Chapter 4: Law of Distributive Multiplication

Combine like terms: 3x + 5x - 2x

• 5x

• 4x

• 7x

• 6x

Answer explanation

To combine like terms, add the coefficients of x: 3x + 5x - 2x = (3 + 5 - 2)x = 6x. Therefore, the correct answer is 6x.

Simplify: 4a + 3b - 2a + 7b

• 6a + 4b

• 2a + 5b

• 2a + 10b

• 3a + 8b

Answer explanation

Combine like terms: (4a - 2a) + (3b + 7b) = 2a + 10b. Thus, the simplified expression is 2a + 10b, which is the correct answer.

Distribute: 2(3x + 4)

• 2x + 8

• 3(2x + 4)

• 6x + 8

• 6x + 4

Answer explanation

To distribute 2(3x + 4), multiply 2 by each term inside the parentheses: 2 * 3x = 6x and 2 * 4 = 8. Thus, the expression simplifies to 6x + 8, which is the correct answer.

Combine like terms: 7y - 3y + 2y

• 6y

• 8y

• 5y

• 4y

Answer explanation

To combine like terms, add the coefficients of y: 7y - 3y + 2y = (7 - 3 + 2)y = 6y. Thus, the correct answer is 6y.

Simplify: 5m - 2n + 3m + n

• 8m - n

• 8m + 2n

• 2m - n

• 5m + n

Answer explanation

Combine like terms: 5m + 3m = 8m and -2n + n = -n. Thus, the expression simplifies to 8m - n, which matches the correct answer choice.

Distribute: 5(2x - 3)

• 5(2x) - 3

• 5(2x + 3)

• 10x - 15

• 10x + 15

Answer explanation

To distribute 5(2x - 3), multiply 5 by each term inside the parentheses: 5 * 2x = 10x and 5 * -3 = -15. Thus, the expression simplifies to 10x - 15, which is the correct answer.

Combine like terms: 6p + 4q - 2p + 3q

• 4p + 7q

• 2p + 5q

• 6p + 7q

• 4p + 4q

Answer explanation

To combine like terms, group the 'p' terms and 'q' terms: (6p - 2p) + (4q + 3q) = 4p + 7q. Thus, the correct answer is 4p + 7q.

Simplify: 8x - 3y + 2x + 5y

• 6x + 3y

• 8x + 5y

• 10x + 2y

• 10y - 3x

Answer explanation

Combine like terms: 8x + 2x = 10x and -3y + 5y = 2y. Thus, the expression simplifies to 10x + 2y, which is the correct answer.

Distribute: 3(a + 2b)

• 3a + 2b + 3

• 3a + 2b

• 3a + 6b

• 6a + 2b

Answer explanation

To distribute 3(a + 2b), multiply 3 by each term inside the parentheses: 3*a + 3*2b = 3a + 6b. Thus, the correct answer is 3a + 6b.

Combine like terms: 10k - 4k + 6k - 2k

• 6k

• 12k

• 8k

• 10k

Answer explanation

To combine like terms, add the coefficients of k: 10k - 4k + 6k - 2k = (10 - 4 + 6 - 2)k = 10k. Thus, the correct answer is 10k.