Equations and Expressions

Distributive Property

100

12(x+4)

12x+48

200

18g-54f

18(g-3f)

300

2xy-4xz+8x

2x(y-2z+4)

400

12(4x+6y)

48x+72y

500

13xy-26xyz+52wxy

13xy(1-2z+4w)

One Step Equations

100

Solve:

13x=130

x=10

200

Solve:

x+5=32

x=27

300

Solve:

16w=64

w=4

400

Solve:

x÷15=90

x=1350

500

Solve:

25x=625

x=25

Exponents

100

Evaluate

10⁴

10,000

200

Evaluate:

8³

512

300

Evaluate:

k²=144

k=12

400

Solve:

2^h=256

h=8

500

Solve:

44^b=1

b=0

Variety

100

Solve:

b+75=150

b=75

200

Are these expressions equivalent?

12(x+3) and 12x+3

No

300

Evaluate the expression for g=4.

5 x 4^g

1280

400

60% of the students at Del Mar are girls. How many girls are there if there are 500 students?

There are 300 girls

500

A recipe for cranapple juice calls for 3 parts cranberry juice (c) and 5 parts apple juice (a).  Write an equation relating the two juices with cranberry juice as the independent variable.

a=1.67c

Expressions

100

Are these equivalent?

2x+6y and 2(x+3y)

Yes

200

Are these equivalent?

x⁵ and x+x+x+x+x

No

300

40% of the students at a school play for one of the school's sports teams.  Write an expression to represent the number of students that play a sport if the school has k total students.

0.4k

400

75% of the people in a town drive a car.  Write an expression representing the number of people with a car in the town if the town has d people total.

0.75d

500

33% of the students in a school owns airpods.  Write an expression to represent how many students have airpods if there are p total students.

0.33p