Linear Inequalities
Vocabulary
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Linear Equations
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100

Solve for X:

x+9>12


x > 4

100

a number that is written along with a variable or it is multiplied by the variable.

Coefficient

100

 Solve for X:

(2x)/5  + x/2 = 9

 

x =10

100

Make X the subject:

18-qx=w^2

x=-(w^2-18)/q

100

Is X=3 the solution to the following equation? Check to prove this. 

5x+3=18

YES

200

Solve for X as a decimal:

2x -5 < 17

x < 9.5

200

Symbol or letter that represents an unknown value

Variable 

200

Give an expression for "two less than y"

y-2

200

Solve for X:

(5x)/2 =10

x = 4

200

What is the GCF/HCF of 

18x^3y^2-6x^2y^2+3xy^5

3xy^2

300

Solve for X:

-(2x)/3 < -2

x > 3

300

Terms that have the same variable.

Like terms 

300

Solve for X:

(2x-3)/7  = (3x-5)/10

x = 5

300

Solve for X:

4x = 2-3(x+1)

x = -1/7

300

Simplify: 

(ax^3)/(by) * (b^3)/(a^2x)

(b^2x^2)/(ay)

400

Solve for X:

4x-2(x-1) < 22

x < 10

400

This property allows a number to be multiplied by everything within the brackets.

Distributive Property

400

Make p the subject:

2(p-x) = z

p = z/2+x

400

Solve for X:

8x+5 = 5x+14

x = 3

400

Simplify: 

(11x^2y)/(5a^3c) * (15a^2b)/(22xy^2)* (2xy^3)/(3ab^2)

(x^2y^2)/(a^2bc) 

500

Solve for X:

-4x-2(1+3x)>8

x < -1

500

An equation that includes fractional parts

Rational Equation 

500

Give an expression for "r more than x"

x+r

500

Is X=-4 the solution for the following equation? Check to prove this.

7x-15=3(x+1)

NO

500

Is X=15 the solution for the following equation? Check to prove this. 

(3x)/5=x-6

YES