Solving Equations

Solving by Combining Like Terms

100

3x + 5x -1 = 23

x = 3

200

8 +5 + x = 4

x = -9

300

-20 = -4a - 6a

a = 2

400

p - 1 = 5p + 3p - 8

p = 1

500

Double Jeopardy

-5 +25x -40x -10 = -4x -8x

x = -5

Solving by Using the Distributive Property

100

2(-x + 2) = 0

x = 2

200

5(x - 10 -x) = 10

No solution

300

-(7 - 4x) = 9

x = 4

400

3n - 5 = -8(6 + 5n) 

n = -1

500

12 = -4(-6x - 3)

x = 0

Expressions

100

Simplify: 4q + (-3q) 

q

200

Simplify: 11m -m + 3m

13m

300

Simplify: 4t - 3(t - 5)

t + 15

400

Double Jeopardy

Simplify: (4x -4 +7x)(3 - 5 + 2)

0

500

Simplify: 7z - 4(z - 3) -6z - z

-4z + 12

2-Step Equations

100

x/4 + 1 = 4

x = 12

200

5x -10 = -10

x = 0

300

-r/-3 - 3 = -13

r = -30

400

-(100x - 75.9)/(7.8 - 7.8) = 5

Undefined

500

(2x² + 6 -2x² - 6)/53.5 = 0

Infinite solutions

Equations Grab Bag

100

-12x - 12 = 0

x = -1

200

What is the inverse operation of a radical: square root, cubed root, 4th root, etc...?

The inverse operation of any radical is exponent.

300

Double Jeopardy

Solve: 2x/2x = 2x

x = 1/2

400

Double Jeopardy: The formula for free falling objects is: V_{velocity =} G_gravity*T_time . Which object would fall to the ground first if they are both dropped from 10 story building? Neglect air resistance!!

the objects are your backpack and a penny

Both objects hit the ground at the same time!!

500

What does it mean when you solve an equation that has an undefined solution? Be precise in your answer!

It means that the left-hand side of the equations does not equal the right-hand side. 

Or, when the equation-one side-is being divided by zero!