Question

simplify each expression.

1. $5m + 5 + 3 + 4m$

a) $14m + 8$ b) $9m + 8$
c) $21m + 8$ d) $16m + 8$

1. $6(2x + 6)$

a) $12x + 33$ b) $12x + 28$
c) $12x + 36$ d) $4x - 16$

1. $-4(5a + 1) + 2$

a) $-20a - 2$ b) $5 - 40a$
c) $12a - 4$ d) $-18a - 14$

1. $n - (1 - 4n)$

a) $5n - 10$ b) $11n - 10$
c) $47n + 32$ d) $5n - 1$

1. $4(1 + 2x) - 2(1 + 10x)$

a) $43 + 15x$ b) $2 - 17x$
c) $2 - 12x$ d) $-30x - 180$
write each as an algebraic expression.

1. 9 more than $k$

a) $k - 9$ b) $9 - k$
c) $\frac{9}{2}$ d) $k + 9$

1. the difference of 29 and 26

a) $26 + 29$ b) $29 - 26$
c) $26 - 29$ d) $\frac{26}{29}$

1. the product of 4 and 9

a) $4 \cdot 9$ b) $9 - 4$
c) $9 - 4 > 13$ d) $4 + 9$

1. the difference of 10 and 8

a) $10 + 8$ b) $10 - 8$
c) $\frac{10}{8}$ d) $10^8$

Explanation:

Question 11

Step1: Combine like terms for \(m\)

\(5m + 4m = 9m\)

Step2: Combine constant terms

\(5 + 3 = 8\)

Step3: Combine results

\(9m + 8\)

Step1: Apply distributive property

\(6\times2x = 12x\), \(6\times6 = 36\)

Step2: Combine results

\(12x + 36\)

Step1: Apply distributive property

\(-4\times5a = -20a\), \(-4\times1 = -4\)

Step2: Add the constant term

\(-20a - 4 + 2 = -20a - 2\)

Answer:

B) \(9m + 8\)

Question 12