Solving Equations & Inequalities With Variables On Both Sides

Vocabulary

100

The number being multiplied by the variable.

(The number next to the x.)

What is a COEFFICIENT?

200

A negative number times a negative number

What is a positive number?

300

A letter or symbol to represent an unknown

What is a VARIABLE?

400

Like terms are like terms if and only if they have these two similarities

What are same variable and same exponent

500

When my Revenue is EQUAL to my cost - and my profit is ZERO

What is breaking even?

600

A number that stands alone in an expression or equation.

What is a CONSTANT?

Solve Equations with Variables on both sides I

100

11x=24+8x

x=8

200

2z-31=-9z+24

z=5

300

9-2y=8y-6

y=1.5

400

2x + 11 = -3x + 36

What is x = 5

500

3/4x+8=2x-12

x=16

600

7x - 17 = 3x + 4 - 2x

x=7/2 or 3.5

Solve Inequalities with Variables on both sides I

100

3a-1<2a

a<1

200

5n+9>2n

n>-3

300

8y-3>=6y+17

y>=10

400

x+5<=4x+26

x>=7

500

x+5<4x+26

what is x > 7

600

12x+ 3<= 5x+ 31

x<=4

Solve Equations & Inequalities with Variables on both sides II

100

3(2x-6) = 4(x+2)

x=13

200

2x+3x-7>x+1

x>2

300

2x+3(x-4)=-x

x= -2

400

x+x+4 < -2(2x-5)

x< 1

500

18+4x=4x-3

no solution

600

2(x+3) = 2x+6

Infinite solutions

Simplify Expressions

100

3(x+2)-5x+7

-2x+13

200

7 - (2x+3)

-2x+4

300

-(3x-4) + 2x - 1

-x+3

400

2(4x-8) - 3(2x+3)

2x-25

500

(10 + 7r - r²) + (-6r² -18 + 5r)

-7r² + 12r - 8

600

-(7x-4)+8x²+(-5x²-3x)+11

3x² - 10x + 15

All about Mr. Kap

100

My first name

What is Nathan?

200

My Age

What is 23?

300

Where I attended College

What is Clark University?

400

Where I grew up

What is New Jersey?

500

What I double majored in

What are Math and Psychology?

600

The 3 sports I played in college

What are soccer, tennis, and squash?