combining like terms
directions: simplify each expression by combining like terms.
#1 -7 + 13x + 2x + 8
#2 9 + 7y - 2 - 5y
#3 2 + 3x - 4x + 6
#4 5 + 2x + 2
#5 2(4x - 1) + x
#6 6x + 2(x + 4)
#7 3(x + 5) - 10
#8 15x - (x - 4)

Question

Accepted Answer

### #1
# Explanation:
## Step1: Group like terms
$-7 + 8 + 13x + 2x$
## Step2: Combine constant terms and x - terms
$(-7 + 8) + (13x + 2x) = 1 + 15x$
# Answer:
$15x + 1$

### #2
# Explanation:
## Step1: Group like terms
$9 - 2 + 7y - 5y$
## Step2: Combine constant terms and y - terms
$(9 - 2) + (7y - 5y) = 7 + 2y$
# Answer:
$2y + 7$

### #3
# Explanation:
## Step1: Group like terms
$2 + 6 + 3x - 4x$
## Step2: Combine constant terms and x - terms
$(2 + 6) + (3x - 4x) = 8 - x$
# Answer:
$-x + 8$

### #4
# Explanation:
## Step1: Group like terms
$5 + 2 + 2x$
## Step2: Combine constant terms
$(5 + 2) + 2x = 7 + 2x$
# Answer:
$2x + 7$

### #5
# Explanation:
## Step1: Distribute the 2
$8x - 2 + x$
## Step2: Group like terms
$8x + x - 2$
## Step3: Combine x - terms
$9x - 2$
# Answer:
$9x - 2$

### #6
# Explanation:
## Step1: Distribute the 2
$6x + 2x + 8$
## Step2: Combine x - terms
$8x + 8$
# Answer:
$8x + 8$

### #7
# Explanation:
## Step1: Distribute the 3
$3x + 15 - 10$
## Step2: Combine constant terms
$3x + (15 - 10) = 3x + 5$
# Answer:
$3x + 5$

### #8
# Explanation:
## Step1: Distribute the negative sign
$15x - x + 4$
## Step2: Combine x - terms
$(15x - x) + 4 = 14x + 4$
# Answer:
$14x + 4$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

#1

Step1: Group like terms

Step2: Combine constant terms and x - terms

Step1: Group like terms

Step2: Combine constant terms and y - terms

Step1: Group like terms

Step2: Combine constant terms and x - terms

Answer:

#2