Linear Expressions

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

(17x – 17) + (–27x + 22)

• 44x+39

• -10x+39

• -10x+5

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

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

• 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.

(7+z)(-10)

• 7(-10)+z(-10); -10z-70

• 7(-10)-z(-10); 10z+70

• 7(-10)+10(z); -17-10z

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

​ (a)  

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

The equation for the table below is y=2x+5, fill in the missing values.

c

d

e

f

-1

0

9

7

3

4

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

Hector has a vintage record collection. He currently has 49 records and plans to collect 3 records each month for a year. How can you calculate the albums his collection will have after the year is up?

• R = 49m

• R = 49 + 3m

• R = 49 x 3

• R = 49 + 3

A holiday meal costs $12.50 a person plus a delivery fee of $30.

• 30 + 12.5x 

• 12.5 + 30

• 12.5 + 30x