Topic 3

Combining Like Terms

100

-2.4x+3.8-x. Combine all like terms x.

0.4x

200

0.8n+0.6n=42. Solve for n.

n=30

300

-3.5-6.2y=-87.3. Solve for y.

y=9

400

-0.25d+0.4d=39. Solve for d.

d=60

500

-9.76d-(-12.81d)=8.54. Solve for d.

d=2.8

Solving Variables on Both Sides

100

3x+15=4x+12. Solve for x.

x=3

200

4x+6=2.5x+12. Solve for x.

x=4

300

0.05x+925=0.03+1250. Solve for x.

x=16.250

400

550-25x=10+15+20x. Solve for x.

x=9

500

150-x-2x=120+2x. Solve for x.

x=10

3 Types of Solutions

100

3x*5x-9=15x-9 What is the Solution?

Infinitely Many Solutions

200

Definition of One Solution

If we can solve the equation and get something like x=b where b is a specific number

300

Definition of No Solution

There is no value for the variable that makes the equation true.

400

Definition of Infinitely Many Solutions

 Any value for the variable makes the equation true.

500

3x+1.5=2.5x+4.7 What type of Solution?

One Solution

DCMI/ Solving Multi-Step Equations

100

4x+3=x+2(x+7). Solve for x.

x=11.

200

-5(x-2)=-25. Solve for x.

x=7

300

3-(x-3)=25. Solve for x.

x=-19

400

0.25(x+3)=0.5(x+2). Solve for x.

x=-1

500

7(5+2x)+x=65

x=2

Solving Two-Step Inequalities

100

2x+4>24. Solve for x.

x=10

200

-7x+7<-56. Solve for x.

x=9

300

m/3-3<-6

m<-6

400

80>10-9/3x. Solve for x.

x=2100/9

500

14+3.15p<25.97. Solve for p.

p=3.8