Expressions

Writing Expressions

100

Write an expression to represent... 

The difference of a number and 4

x - 4 

200

Write an expression to represent... 

The product of 3 and y increased by 12

3y + 12

300

Write an expression to represent... AND define your variables 

Willow makes $12.25 per hour and earned $42 in tips

12.25x + 42 

x = # of hours

400

Write an expression to represent the situation... define your variables 

You mow 6 lawns and shovel 8 driveways to earn money. You get paid different rates. 

x = $ made per lawn 

y = $ made per driveway 

6x + 8y

500

Write an expression to represent the situation... and define your variable 

You pay for an item and the 12% tax that gets added on. 

 p = price of item 

1p + 0.12p    OR     1.12p

Adding Expressions

100

3(x - 2) + 4(2x - 8)

11x + (-38)

200

-2(4x - 6) + 0.5 (8x - 12) 

-4x + 6

300

-(x - 5) + 3x(2x) - 10x

6x² - 11x + 5

400

-4x(-2x - 10) + 3x(3x - 4) + 2x²

5x² + 28x

500

- 3/4 (4x - 16) - 2 (1/2x - 8) 

-4x + 64

Subtracting Expressions

100

-(5x - 6) - (3x + 4)

-8x + 2

200

3(2x - 4) - 2(7x + 11)

6x - 12 - 14x - 22

-8x + - 34

300

4(5x - 8) -6(8x - 9)

-28x + 14

400

-2x(x - 4) - 3x(2x - 8) - 3

-8x²+32x + (-3)

500

-12a(a - b) - a(3a - 4) 

-15a² +12ab + 4a

Factoring Expressions

100

Factor the expression 

30x - 18

6(5x - 3)

200

Factor the expression 

-9xy - 48y 

-3y(3x + 16)

300

Factor the expression 

32ab - 64abc

32ab (1 - 2c)

400

-48xyz + 24xy - 16x

-8x(6yz - 4y + 2)

500

Factor the expression 

-16x³-64x²+8x

-8x(2x²+8x - 1)

Evaluating Expressions

100

if a = -2 and b = -5 

Evaluate: -2a-b

9

200

if x = -3 and y = 2 

Evaluate:   -x³+y

29

300

if  c = -1 and d = 7

Evaluate: c⁸⁸ + 3d

22

400

if x = -2 and y = -3 

Evaluate: -3x³ - 4y

36

500

If w = -4 and z = 2 

Evaluate:  -5wz - 4w²

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