Equivalent Algebraic Expressions

Simplify the expression below.

17x + 2y – 9x + 25

• 10x+25

• 26x+2y+25

• 8x+2y+25

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

The side lengths of a triangle are given by the expressions 13x + 39, 15x –25, and 14x + 14. Write the simplified expression to represent the perimeter of the triangle.

• 42x+28

• 42x+91

• 133x

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

(–7x + 9) – (–5x – 15)

• -12x-6

• -2x+24

• -12x+24

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

(-2x – 5) – (2x + 7)

• 2

• 4x+12

• -4x-12

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

Find the GCF of 9xy and 54x.

• 3x

• 9x

• 9

• 1x

Find the GCF of 45abc and 35ac

• a

• 5a

• 35ac

• 5ac