Question

unit 2 - online quiz
score: 36/100 answered: 5/11
question 6
simplifying algebraic expressions
simplify by using the distributive property and combining like terms.
(9x - 5)+(7x + 8)=
(6x - 6)-(9x - 5)=
4(7x + 8)-3x=
3(7x + 8)+(-x^2 - 3x - 7)=
question help: video

Explanation:

Step1: Simplify $(9x - 5)+(7x + 8)$

Remove parentheses and combine like - terms: $9x-5 + 7x+8=(9x + 7x)+(-5 + 8)=16x+3$

Step2: Simplify $(6x - 6)-(9x - 5)$

Distribute the negative sign: $6x-6-9x + 5=(6x-9x)+(-6 + 5)=-3x-1$

Step3: Simplify $4(7x + 8)-3x$

Use the distributive property: $4\times7x+4\times8-3x=28x + 32-3x=(28x-3x)+32=25x+32$

Step4: Simplify $3(7x + 8)+(-x^{2}-3x - 7)$

Use the distributive property: $3\times7x+3\times8-x^{2}-3x - 7=21x+24-x^{2}-3x - 7=-x^{2}+(21x-3x)+(24 - 7)=-x^{2}+18x + 17$

Answer:

$(9x - 5)+(7x + 8)=16x + 3$
$(6x - 6)-(9x - 5)=-3x-1$
$4(7x + 8)-3x=25x+32$
$3(7x + 8)+(-x^{2}-3x - 7)=-x^{2}+18x + 17$