Question

name kay t. date feb 12,2024 2nd
combining like terms
directions: simplify each expression by combining like terms.
#1 $-7 + 13x + 2x + 8$
$15x + 1$
#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 $15x - (x - 4)$

Explanation:

#2 Step1: Group like terms

$(9-2)+(7y-5y)$

#2 Step2: Simplify each group

$7 + 2y$

#3 Step1: Group like terms

$(2+6)+(3x-4x)$

#3 Step2: Simplify each group

$8 - x$

#4 Step1: Group like terms

$(5+2)+2x$

#4 Step2: Simplify the constant group

$7 + 2x$

#5 Step1: Distribute the 2

$8x - 2 + x$

#5 Step2: Group like terms

$(8x+x)-2$

#5 Step3: Simplify the x terms

$9x - 2$

#6 Step1: Distribute the 2

$6x + 2x + 8$

#6 Step2: Group like terms

$(6x+2x)+8$

#6 Step3: Simplify the x terms

$8x + 8$

#7 Step1: Distribute the 3

$3x + 15 - 10$

#7 Step2: Simplify the constant group

$3x + 5$

#8 Step1: Distribute the negative sign

$15x - x + 4$

#8 Step2: Group like terms

$(15x-x)+4$

#8 Step3: Simplify the x terms

$14x + 4$

Answer:

#1: $15x + 1$
#2: $2y + 7$
#3: $-x + 8$
#4: $2x + 7$
#5: $9x - 2$
#6: $8x + 8$
#7: $3x + 5$
#8: $14x + 4$