PCM Unit 2 Solve Equations & Inequalities Review

Multi-Step Equations

100

Solve for w.

12+5w-4w=15

w=3

200

Solve for x.

x/2-5=25

x=60

300

Solve the equation.

4-2(x-3)=24

x=-7

400

Solve for b. 

-11+3(b+5)=7

b=1

500

Solve for x.

3(x-6)+2x=22

x=8

Solving Proportions

100

Solve the proportion.

k/6=15/18

k=5

200

Solve the proportion.

11/5=4/x

x=1.82 or 20/11

300

Solve for x.

It's OK to have a FRACTION or DECIMAL as an answer!

(x+3)/4=7/8

x=1/2 or .5

400

Solve for w.

It's OK to have a FRACTION or DECIMAL as an answer!

8/9=(w-2)/6

w=22/3 or 7.33

500

Solve for b.

8/(b+10)=4/(2b-7)

b=8

Absolute Value Equations

100

Solve for x.

Remember Absolute Value Equations should have 2 answers!

abs(2x+9)=15

x=(-12,3)

200

Solve for x.

Remember Absolute Value Equations should have 2 answers!

abs(8-4x)=16

x=(-2,6)

300

Solve for v.

Remember Absolute Value Equations should have 2 answers! 

abs(v+8)-5=2

v=(-15,-1)

400

Solve.

Remember Absolute Value Equations should have 2 answers!

abs(x-12)-3=11

x=(-2,26)

500

Solve for r.

Remember Absolute Value Equations should have 2 answers!

-2abs(-2r-4)=-12

r=(-3,-1)

Substitution

100

If y=7, find the value of 2(y+4).

22

200

If y=4, find the value of 3y+5.

17

300

If x=3 and z=7, find the value of 2x-z.

-1

400

If a=4, b=5, and c=6, find the value of 2c-a-b.

3

500

Evaluate u²  - xy, when u=-7, x=10, and y=8.

-31

Solve and Graph Inequalities

100

When shading the solution below, would you shade to the LEFT or to the RIGHT?

x>=4

to the Right

200

Solve.

s-10<=1

s<=11

300

Solve the inequality. 

x+4<4

x<0

400

Find the solution to the following inequality.

-6a>=-36

a<=6

500

What is the solution to the following inequality?

3x-7<2

x<3