Expressions

Identifying Parts of an expression

100

What are the constant term(s) in the following expression 4x + 3 + 12y + 8

What is 3 and 8

200

What are the like terms in the following expression? 6x + 12 + 17x

6x and 17x

300

What are the coefficients in the following expression? x + 3y + 8m + 9

What is 1, 3, and 8

400

How many terms in the following expression 5x + 3y - 7 + 12z - 2x

What is 5

500

Twist:  What is the product of the coefficients in the expression  5x - y - 2m - 3k

What is -30

Combining Like terms

100

Simplify 8x + 12x

What is 20x

200

Simplify 4m + 6m + 10 - 4

10m + 6

300

Simplify 6x^2 + 3x + 4x^2

10x^2 + 3x

400

Simplify 4xy + 5x + 2y - 2xy + 3x

2xy + 8x + 2y

500

Simplify 8x + 3(x + 7) - 5x

6x + 21

Evaluating experssions

100

Evaulate 6x + 7 when x = 3

25

200

Evaluate 8y - 4x when y = 5 and x = 4

24

300

Write 5⋅f⋅f⋅f using exponents and then evaluate if f is 2

40

400

The water company charges $20 plus $1.25 per unit of water used. First write an algebraic expression that shows the cost of water, then evaluate your expression if you use 30 units of water

20 + 1.25u $57.50

500

It costs $5 for a bag of popcorn at the movies, plus $2.50 for each refill. First write an algebraic expression that shows the cost of popcorn, then evaluate your expression if you get 3 refills

5 + 2.5r $12.50

Distributive Property

100

Simplify 4 (y + 5)

4y + 20

200

Simplify -2 (-8x + 12)

16x - 24

300

Simplify 4-3(x - 10)

34-3x  or  -3x+34

400

Simplify 5m (4 + 2p)

20m + 10mp

500

Write a numeric expression that demonstrates the use of the distributive property to easily find the product of 63 and 4

4 (60 + 3)

Factoring

100

Simplify by factoring out the GCF 4x + 12

4 (x + 3)

200

Simplify by factoring out the GCF 9m + 12

3 (3m + 4)

300

Simplify by factoring out the GCF -4m - 12p

-4 (m + 3p)

400

Simplify by factoring out the GCF 5mk + 20m

5m (k + 4)

500

Simplify by factoring out the GCF 6h + 3g - 15m

3 (2h+g-5m)