Literal Equations
Equations (Variables on Both Sides)
Absolute Value Equations
Multi-step Inequalities (Including Compound)
Evaluating Expressions
100
2x + 3y = 12. Solve for x
What is x = 6 - 3/2y?
100
4x - 3 = 2x + 5
What is x = 4?
100
|r| = 7
What is 7 and -7?
100

Is 5 a solution to the inequality? 4x > 3(7 - x)

What is yes. 

100

18 ÷ 3 - 7 + 2 × 5

What is 9? 

200
5j + s = t - 2. Solve for t
What is t = 5j + s + 2?
200
2(2t - 3) = 6(t + 2)
What is t = -9?
200
|2x + 4| = 0
What is x = -2?
200

2 - 6n > 16 - 6n + 7n

What is n< 2?

200

Solve Both: 

(-4)^2 and -(4)^2

What is 

a. 16 and b. -16

300
Solve x/r = v for x.
What is x = rv?
300
7(x + 5) = -7( x + 5)
What is x = -5?
300
|h + 4| = 11
What is h = 7 and -15?
300

-33 + 7b <4b - (1 - 7b)

What is b>-8? 

300

Evaluate: 2x^2+3y


 x=3 and y=-2




.

What is 12? 

400
Solve h + p = 3(k - 8) for k.
What is k = h/3 + p/3 + 8?
400
3(2x - 5) = 2(3x - 2)
What is no solution?
400
16 = 7|p + 3| + 30
What is no solution?
400

Charlie has $500 in a savings account at the beginning of the summer, but withdraws $25 each week to spend on meals at Duchess (his favorite). He wants to have at least $200 in the account at the end of the summer for the start of school. How many weeks can Charlie withdraw money from the account?

What is at most 12 weeks. 

400

Evaluate: -2x(y-x)^3 when x=-2 and y=-5

What is 108?

500
Solve m/n = p - 6 for n.
What is n = m/(p-6)?
500
On the first day of the year, Diego had $700 in his savings account and started spending $35 a week. His brother Juan had $450 and started saving $15 a week. After how many weeks will the brothers have the same amount?
What is 5 weeks?
500
A quality control inspector at a bolt factory examines random bolst that come off the assembly line. Any bolt whose diameter differs by more than 0.04 mm from 6.5 mm is sent back. Write and solve an absolute value equation to find the maximum and minimum diameters of an acceptable bolt.
What is |x - 6.5| = 0.04; 6.54 mm and 6.46 mm?
500

The length of a rectangle is 4cm longer than the width. The perimeter is no more than 28cm. What are the maximum possible dimensions for the rectangle?

What is the length if the length is 9 and the width is 5? 

500
A nutritionist recommends that an adult male consume 55 grams of fat per day. It is acceptable for the fat intake to differ from this by at most 25 grams. Write and solve and inequality to find the range of fat intake that is acceptable.
What is |x - 55| ≤ 25; 30 ≤ x ≤ 80
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