Algebraic Expressions and Properties

Algebraic Expressions

100

Evaluate if x=20

x ÷ 5

4

200

Evaluate when x=20 and y=4

y+x

24

300

Evaluate when x=20 and y=4

8y - x

12

400

In a video game, you score "p" game points and "b" triple bonus points.  An expression for your score is p+3b.  What is your score when you earn 245 game points and 20 triple bonus points?

305

500

The volume of the cube is equal to four times the area of one of its faces.  What is the volume of the cube?

4x²

Writing Expressions

100

11 fewer than a number "b"

b - 11

200

18 added to a number "n"

n + 18 

or

18 + n

300

a number "t" decreased by 17

t - 17

400

The sum of a number x and 4, all divided by 3

(x+4)÷3

500

Your basketball team scored 4 fewer than twice as many points "p" as the other team.  Write an expression for your team's points.

2p - 4

Simplifying Expressions

100

Simplify the expression

10 + (2+y)

12+y

or

y + 12

200

Simplify:  3(7x)

21x

300

Which property allows you to simplify the expression:  5.3+w+1.2

Commutative

400

Write an expression for the perimeter of the triangle

11+3x

500

One number is four times another.  The greatest number is x.  Write an expression for the lesser of the two numbers.

x/4

Distributive Property

100

Simplify:

2(x+12)

2x+24

200

Simplify:  35(w-2)

35w-70

300

Simplify:  5(n+3)+4n

9n+15

400

Factor the GCF out of the expression:

36x-28

4(9x-7)

500

Write an expression for the area of the rectangle:

4x² + 14x 

Wild Card Simplify Expressions

100

Simplify:

t + 2 + 6t

7t +2

200

Simplify:

3z + 4 + 5z - 9

8z - 5

300

5(4w + 3 + 2w - 2)

30w + 5

400

A haircut costs $13.  There is a discount of "d" dollars per haircut right now.  Write and simplify an alegraic expression that represents the cost of 4 haircuts

4(13-d) = 52 - 4d

500

Find the perimeter of the trapezoid

50 + 2x