Equivalent Expressions
Multi-Step Equations
Combining Like Terms
Inequalities
Absolute Values
100

Define an equivalent expression. 

Two different equations that equal the same thing. 

100

True or False: you can add or subtract whole numbers with other whole numbers that have variables next to the coefficient. 

False. 

100
Do you add, subtract, divide, or multiply the below coefficient before x to get x by itself?


12x=14

Divide---12 has an x variable, 14 does not. 

100

True or False: an integer has more than 1 solution. Explain.

True. 

100

Define absolute value. 

Everything in range becomes positive after calculating. 

200

Is -1/4 (3+m) equivalent to -3/4-1/4m or 3/4-1/4m? Explain.

First option.

200

Determine if this is an entire addend equation:

4x+2x+3+5-y. 

No because it has one subtraction. 

200

Apply the hanger diagram to the following equation and solve for x. 4x+5=21.

x=4. Show hanger diagram in class. 

200

Solve the inequality x+9>5. Graph your solution set and show your work. 

x>-4 (open circle, anything greater than -4)

200

Solve for the absolute value:


l -4 +2 l

2

300

Factor 5x+10y-20. 

5(x+2y-4)

300

Jake buys 4 hamburgers and each costs the same amount, h, and a French fry that costs $2.50. The total cost is $19.70. Model this situation with an equation. Solve the equation. 

4h+2.50=19.70

4h=17.20

h=$4.30

300

Solve (3/4)k+8+12=24

16/3

300

What is the technical term for when an answer does only have one answer?

An equality. 

300

Solve the absolute value equation:

l4-3X2 l

5

400

Raury says the expression -10 (1/5x+5) is equivalent to -2x+50. Would you agree or disagree? Explain why. 

Disagree. It would be -2x-50. 

400

Determine which y is greater. Show your work for both equations. 

a. 4x-8y+16=2y+4x-10

b. 4x+4y-20=4x+3y-25

a. y=13/5

b. y=-5

a has the greater y value. 

400

Factor 3x+6y+12(x^2) into a distributive property in its simplest form. 

3(x+2y+4(x^2))
400

Describe the difference between open and closed circles. Give an example of each for points. 

Open: does not equal to

Closed: can equal to

400

Solve the absolute value:

l3X2-5+15l + 5

21

500

Can you change the variable letters when creating equivalent expressions?

Yes

500

Solve the equation:

3 (x^2) -12=15

x=3

500

Apply the hanger diagram and solve for x. 

3x-5=22. This is a trick question.

x=9; show different hanger diagram

500

Presley is in a basketball league. Her goal is to score an average of 10 points per game. Her scores so far include 11, 4, 5, 8, 12. How many points can Presley score in her next game to reach her goal? 

More than 20 points (x> or equal to 20)

500

Solve:

- l 4X3/3+5-18 l

-9