Question

6 select the expression equivalent to $(4x + 3) + (-2x + 4)$.
a $-2x + 12$
b $-8x + 12$
c $6x + 7$
d $2x + 7$

7 select the equivalent expression to the following.
$(4 - 3x) + (5x - 2)$
a $9x - 5$
b $8x + 6$
c $2x + 2$
d $-8x - 6$

8 simplify the expression.
$(5 + 3x) + (x + 10)$

9 simplify the expression.
$(5m - 7) + (6m + 9)$

10 simplify the expression.
$(6 + 8w) + (-3w + 7)$

Explanation:

Problem 6

Step1: Group like terms

$(4x - 2x) + (3 + 4)$

Step2: Combine like terms

$2x + 7$

Problem 7

Step1: Group like terms

$(-3x + 5x) + (4 - 2)$

Step2: Combine like terms

$2x + 2$

Problem 8

Step1: Group like terms

$(3x + x) + (5 + 10)$

Step2: Combine like terms

$4x + 15$

Problem 9

Step1: Group like terms

$(5m + 6m) + (-7 + 9)$

Step2: Combine like terms

$11m + 2$

Problem 10

Step1: Group like terms

$(8w - 3w) + (6 + 7)$

Step2: Combine like terms

$5w + 13$

Answer:

1. D. $2x + 7$
2. C. $2x + 2$
3. $4x + 15$
4. $11m + 2$
5. $5w + 13$