Unit 1A Review

Simplifying Expressions

100

Simplify: 

6x+3x

9x

200

Simplify: 

8a-5+3a+9

11a+4

300

Simplify:

4(2x-3)+5x

13x-12

400

Simplify:

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

-2y+7

500

Simplify:

1/2(8x-6)-2(3x+4)+5

-2x-6

One & Two Step Equations

100

Solve for x:

x+9=17

x=8

200

Solve for x:

-4x=28

x=-7

300

Solve for x:

3x+5=26

x=7

400

Solve for x:

7-2x=19

x=-6

500

Solve for x:

1/4(8x-16)=20

x=12

Literal Equations

100

Solve for h: 

V=Bh

h=V/B

200

Solve for x:

y=x+b

x=y-b

300

solve for w:

P=2l+2w

w=(P-2l)/2

400

Solve for r:

t= v-kr

(t-v)/-k

500

Solve for h:

A=1/2h(m+n)

h=(2A)/(m+n

Multi-Step Equations

100

Solve for x:

3x+2x-4=21

x=5

200

Solve for x:

4(x-3)+6=30

x=9

300

Solve for x:

3(2x-5)+4=2x+9

x=5

400

Classify each equation and explain why: 

A:

3(x+2)-x=2x+6

B:

4(x-1)+2=4x+5

A:Infinitely many solutions 

B: No solution 

500

Solve for x:

-2(x+6)+5x=2x+24

x=36

Word Problems

100

Write the Algebraic Expression for the phrase below: 

'The difference of a number and 12'

x-12

200

A skating rink charges $6 to enter and $4 per hour. Write an expression to model the situation.

6+4h

300

After earning $12, Maya has $35. How much money did she have before? Write an equation and solve.

m+12=35

; Maya had $23

400

Plan A charges $25 plus $8 per visit. Plan B charges $61 plus $5 per visit. At how many visits do the plans cost the same? Write an equation and solve.

25+8v=61+5v

; the plans cost the same at 12 visits

500

A music school charges the same standard fee for each piano lesson.

• The school offers a $10 discount per lesson. A student signs up for 6 lessons.

• The student also pays a one-time materials fee of $25.

• The student’s total cost is $295.

Let p represent the standard fee for one piano lesson before the discount.

Write a linear equation that represents the student’s total cost.

6(p-10)+25=295