Solving Equations/Inequalities
Equations/Inequalities with variables on both sides
Absolute Value Equations
Unit Conversion & Rates
Literal Equations
100

Write and solve an equation: 

If you save $5 every month, how long will it take you to save $100?  

What is 5m = 100? m = 20

100
-3z - 1 = 8 - 3z
What is no solution?
100

Solve the equation

|r|=9

r=9 , r=-9

100
How many cups are in a 3 gallon bucket? 

What is 48 cups?

100

12am = 4, Solve for a

a = (1/3)m

200

2x-5 ≤ 23

x ≤14

200
6(2a + 10) = 5(a + 5)
What is -5?
200

Solve the equation

|r-7|=9

r=16, r=-2

200

Who is faster?
Mrs. Frommert runs 4.5 mi/hour

Ms. L'Abbate runs 8 km/hour. 

(1 km ≈ 0.62 miles)


Mrs. Frommerts runs about 7.26 km /hour

Ms. L'Abbate runs about 4.96 miles/hour

200

-3x + 2c = -3, Solve for x

x = (2c + 3)/3

300
4y - (y - 4) = -20
What is -8?
300
4(x - 3) = -2 (6 - 2x)
What is "all real numbers"?
300

Solve the equation

4|t+9|-5=19

t=-3 or t=-15

300

Which is a better buy? 

$5.90 for 4 croissants or $9 for 6 croissants 

$5.90 for 4 croissants is about $1.48 per croissant. 

300

u = kx + yx, Solve for x

x = u/(k + y)

400
43(2x - 1) = -12
What is -4?
400

18 - 2(x + 3) = x

What is 4?

400

Solve the equation, if possible

|x-1|+5=2

no solution

400

Pal can eat 5 treats per day. There are about 92 treats per box. Each box costs $8.50. About how much do we spend on Pal's treats per year? 

$8.50 / 92 = $0.09 per treat 

$0.09 * 5 = $0.45 cost per day 

0.45 * 365 = $164.25

400

-3a - 3 = -2n + 3p, Solve for a

a = (2n - 3p - 3)/3

500

Solve and graph 

-14 > w+ 3 OR 3w ≥ -27

w < -17 or w ≥ -9

500

A square has sides of 8x - 3 and 6x + 5. What is the perimeter of the square?

What is 116 units?

500

Solve the equation, if possible

-10|14-r|-2=-7

r=13.5 or r=14.5

500

Pal can eat 5 treats per day. There are about 92 treats per box. Each box costs $8.50. How much would we save per year if she only ate 4 treats per day?

164 - 132 = about $32 per year 

500

g = (x - c)/x, Solve for x

x = - c/(g - 1)

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