Equivalence and Simplification of Expressions

Simplify this expression:

-7w + (-6) + 5 + (-9w)

• -2w - 1

• -16w - 11

• -16w - 1

• -2w + 11

Find the simplified equivalent expression:

2.1 - 3.7c + 1.9c - 1.4

• 1.8c + 0.7

• 3.5 - 5.6c

• 4.9c

• 0.7 - 1.8c

Simplify the expression:

-3c + 5r -7r + 8c + 23 - 3r -12

• 5c -5r + 11

• 5c - 15r - 35

• -5c + 5r + 35

• 11c -15r + 11

CHOOSE ALL ANSWERS THAT ARE CORRECT (SELECT ALL)

Which pairs are like terms in the expression below?

²/₃y + 5y - ¹/₅x + 2 - ³/_4x +7

• ²/₃y and 5y

• - ¹/₅x and ²/₃y

• 2 and 7

• 7 and 5y

• - ³/_4x and - ¹/₅x

Simplify this expression:

4.6x - 5.3x + 10.2y + 9 - 7.6

• 0.7x + 10.2y +16.6

• -9.9x + (-10.2y) + 1.4

• -0.7x +10.2y 16.6

• -0.7x + 10.2y + 1.4

Simplify this expression

-6x + 7y + (-5x) - 9 - 5y

• -9xy -9

• -11x + 2y -9

• -1x + 2y -9

• -11x - 2y -9

Simplify this expression:

1 + 4.25x + ³/₂y -3 -2y + ⁵/_4x

• 5.5x - ¹/₂y - 2

• 9.5x + 1.5y - 2

• ⁹/₄x - 1.5y - 4

• 3.75x - 1y + 1

Expand the expression:

5 ( -2x + 3)

• -10x + 15

• 10x - 15

• 3x + 8

• -10x + 3

Expand the expressions using the distributive property:

-2( 2.5x - 6)

• -0.5x + 12

• 5x -12

• -5x +12

• -5x - 6

0.75(4y - 9)

• 3y - 6.75

• -3y + 6.75

• 4y - 9.75

• 3y + 6.75