Blue Math: Chapter 1

Solving Simple and Multi-Step Equations

100

Solve the equation.  Show your work

a - 15 = 7

a = 22

200

Solve the equation.  Show your work

72 = 12x

x = 6

300

Solve the equation.  Show your work

x / 1.5 = 12

x = 18

400

Solve the equation.  Show your work

2 + z = -9

z = -11

500

Solve the equation.  Show your work

1/4x - 16 = 8

x = 94

Solving Equations with Variables on Both Sides

100

Solve the equation.  Show your work

x + 16 = 9x

x = 2

200

Solve the equation.  Show your work

5(p + 6) = 8p

p = 10

400

Solve the equation.  Show your work

3(g - 7) = 2(10 + g)

g = 41

500

Solve the equation.  Show your work

x + 5x - 8 = 6x - 8

Infinite many solutions

Rewriting Equations and Formulas

100

Solve the equation for y

4x + y = 8

y = 8 - 4x

200

Solve the equation for y

3/4x + y = 8

y = 8 -3/4x

300

Solve the equation for y

12 = 2x + 3y

y = 4 - 2/3x

400

Rewrite the formula and solve for w

P = 2l + 2w

w = (P-2l)/2

500

Rewrite the formula and solve for h

S  = 2πr² + 2πrh

h = (S - 2πr²) / (2πr)

Word Problems

100

The formula for profit is P = R - C

a) Solve the formula for C

b) Use the new formula to find the value of C given that R = $850 and P = $425

C = P - R

C = $425

200

The sum of angle measurements in a 4-sided shape is equal to 360 degrees.  Find the value of x.  Then find the angle measure of the 4-sided shape.

Angle 1 = x

Angle 2 = (x + 5)

Angle 3 = (x -20)

Angle 4 = (3x - 45)

Angle 1 = 70

Angle 2 = 75

Angle 3 = 50

Angle 4 = 165

300

The cost of a new gym bag is $12 more than the cost c of your old gym bag.  You pay $55 for your new gym bag.  Write and solve an equation to find the cost of your old gym back

c + $12 = $55

c = $43

400

Ninja purchased 5 PlayStations and an xBox 360.  The cost of the xBox 360 was $400.  The total bill before tax is $4,000.  Write and solve an equation to find the cost of a PlayStation.

5p + $400 = $4000

5p = $3600

p = $720

500

Marissa and Lydia both buy cars.  Marissa makes an initial down payment of $500 and then pays $300 per month.  Lydia makes a down payment of $1000 and pays 200 per month.  How many months will it take Marissa and Lydia to pay the same amount?

500 + 300x = 1000 + 200x

100x = 500

x = 5 months

How well do you know Mr. Michaels?

100

Where does Mr. Michaels' son Brandyn go to High School?

St. Viator

200

What kind of BMW does Mr. Michaels drive?

44oi

300

What company did Mr. Michaels work at for close to 23 years before becoming a teacher?

Motorola

400

Where did Mr. Michaels get his Masters in Business Administration for Marketing Management?

DePaul University

500

Who is Mr. Michaels' favorite sports team?

The Chicago Blackhawks