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

These are separated by plus and minus signs.

What are TERMS?

300

This can be any letter of the alphabet

What is a VARIABLE?

400

A polynomial with only one term

What is a MONOMIAL?

500

A trinomial

What is a polynomial with 3 terms?

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