Algebra CP: Solving Equations

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

6(6n - 2) = 8n - 40

n = -1

400

Solve the following equation:

2x + 9 = 2(x+3)

No Solution

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

Vocabulary

100

What is a variable?

It is an alphabetical letter used in an algebraic expression

200

What are like terms?

Terms that have the same variable

300

What is a No Solution when solving VOBS?

A false statement where no number satisfies the equation

400

What is Infinitely Many solutions in a VOBS equation?

A true statement where many numbers satisfy the equation

500

What is a constant?

A term without a variable

Inequalities

100

Solve and graph for the following inequality

x/5> 7

x>35

200

Solve and graph the following inequality

2x-7<3

x<5

300

Solve and graph:

-4x+8>32

x<-6

400

Solve and graph the following compound inequality

-19<3x-4<5

-5<x<3

500

Solve and graph for the following compound inequality

-6x-14>-14   or     3x+10>13

x<0 or x>1

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= - 16

500

16 = x/2

x= 32