Equivalent Expressions

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.
\frac{1}{4}(x+12)

• 1/4(x) + 1/4(12);  1/4x+3

• 1/4(12x);  3x

• 1/4(x) - 1/4(12);  1/4x-3

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.

–9(7 + 4)

• -9(7)+9(4); -27

• -9(7)-9(4); -99

• 9(7)-7(4); 35

Simplify the expression below.

17x + 2y – 9x + 25

• 10x+25

• 26x+2y+25

• 8x+2y+25

Translate the phrase into an algebraic expression: "Seven less than twice a number."

Simplify each expression. Don’t forget to be careful with your signs!!!

19g–7(5 – g)

• 19g-35

• 26g-35

• 60g-19

Simplify each expression. Don’t forget to be careful with your signs!!!

–100 – 27w + 54 –16w

• -43w-46

• 46-11w

• 43w+154

(17x – 17) + (–27x + 22)

• 44x+39

• -10x+39

• -10x+5

Subtract the following linear expressions, be sure to write the expression in simplest form.

(–7x + 9) – (–5x – 15)

• -12x-6

• -2x+24

• -12x+24

The amount of canned goods collected for the CST Food Drive for 6^th grade was (9x + 3) and 7^th grade was (7x – 6). How many more canned goods were collected by 6^th grade than 7^th grade?

• 2x+9 canned goods

• 16x-3 canned goods

• 2x+3 canned goods

Factor 3x + 15.

• Cannot be factored

• 3(x+5)

• 3x(1+5)