Free Printable Equivalent Expressions p.499

1.

Simplify each Expression.
$x\ +\ 4x\ +\ 6x$

a)

$10x$

b)

$11x$

c)

$12x$

2.

Simplify each Expression.
$3x\ +\ 8y\ +\ 13x$

a)

$11xy\ +\ 13x$

b)

$24xy$

c)

$16x\ +\ 8y$

3.

$7\left(3x\ +\ 5y\right)$

Simplify each Expression.

a)

$21x\ +\ 35y$

b)

$21x\ -\ 35y$

c)

$7\left(8xy\right)$

4.

Factor each Expression.
$24x\ +\ 18y$

a)

$4\left(6x\ +5y\right)$

b)

$6\left(4x\ +\ 3y\right)$

c)

$6\ \left(\ 4x\ -\ 3y\right)$

5.

$9\left(5x\right)$

a)

$14x$

b)

$50x$

c)

$45x$

6.

Simplify: $3x+6x+2x$

a)

$11x$

b)

$9x\ +\ 2x$

c)

$12x$

7.

Simplify: $3x\ +\ 4x\ +\ 5x$

a)

$13x$

b)

$12x$

c)

$11x$

8.

Factor: $16x\ +\ 40y$

a)

$\ 2x\ +\ 5y$

b)

$4\left(\ 4x\ +\ 8y\right)$

c)

$2\left(\ 8x\ +\ 20y\right)$

d)

$8\left(\ 2x\ +\ 5y\right)$

9.

Eight friends went to a hockey game. The price of a demission per person was $x. Four of the friends paid an extra $6 each for a player guided book. Write and simplify an expression that represents the total cost.

a)

$4\left(x\ +\ 6\right)\ +\ 4x\ ;\ \text{8x + 24}$

b)

$8x\ +\ 4$

c)

$8\left(x\ +\ 4\right)$

10.

Gabriella is $x$ years old. Her sister, Felicia, is six years older than she is. their mother is twice as old as Felicia. their aunt, Tanya, is $x$ years older their mother. write and simplify an expression that represents Tanya's age in years.

a)

$6\left(x\ +\ 2\right)\ +\ x;\ \ 7x\ +\ 12$

b)

$2\left(x\ +\ 6\right)\ +\ x;\ \ x\ +\ 6$

c)

$2\left(x\ +\ 6\right)\ +\ x;\ \ 3x\ +\ 12$

11.

A DVD box set includes 3 thriller movies and 2 comedies. Use t to represent the cost each thriller and c to represent the cost of each comedy. write and simplify an expression that represents the total cost of 6 box sets.

a)

$6\left(3t\ +\ 2c\right);\ \ 18t\ +\ 12c$

b)

$6\left(2t\ +\ 3c\right);\ \ 12t\ +\ 18c$

c)

$3t\ +\ 2c$

12.

A fall candle gift set has 4 vanilla candles and 6 pumpkin spice candle. Use v to represent the cost of each vanilla candle and p to represent the cost of each pumpkin candle. Write and simplify an expression that represents the total cost of 4 sets.

a)

$6\left(4v\ +\ 6p\right);\ \ 24v\ +\ 36p$

b)

$4\left(4v\ +\ 6p\right);\ \ 16v\ +\ 24p$

c)

$4\left(v\ +\ p\right);\ \ 4v\ +\ 4p$

Equivalent Expressions p.499

Total questions: 12

Worksheet time: 6mins

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