8.LE.1-8, 8.PR.1-4 Review

Simplifying Expressions

100

Simplify:
3x+5x

8x

200

Simplify:
−2.5x+4x

1.5x

300

Simplify:
3(x+4)

3x + 12

400

Simplify:
−1/2(6x−8)

-3x + 4

500

A student says:
4(x+2)=4x+2

What is the mistake?  

They didn’t distribute to both terms (should be 4x + 8)

Solving Equations

100

Solve:
x+5=12

x = 7

200

Solve:
3x=18

x = 6

300

Solve:
2x+3=11

x = 4

400

Solve:
2(x+3)=14

x = 4

500

Solve:
3x+5=x+17

x = 6

Special Cases

100

Solve:
2x+3=11

How many solutions?

One solution

200

Solve:
4x+2=4x+9

How many solutions?

No solution

300

Solve:
3(x+2)=3x+6

How many solutions?

Infinitely many solutions

400

What does it mean if you get a false statement like 5=9?

No solution

500

How can you tell an equation will have infinitely many solutions without solving completely?

Both sides simplify to the same expression

Proportional Relationships & Slope

100

Find the unit rate:
x = 1, y = 6

6

200

Is this proportional?
x: 2, 4, 6
y: 6, 12, 18 

Yes

300

Find the unit rate:

x: 3, 6, 9
y: 12, 24, 36

4

400

Write the equation of a proportional relationship with unit rate 4.

y=4x

500

A line does not pass through (0,0). Is it proportional? Why or why not?

No, proportional relationships must pass through the origin