Algebraic Equations

Linear Equations 1

100

Solve for X:

2x-6=4

x = 5

200

Solve for X as a decimal:

x + 1/5 = 2.1

x = 1.9

300

Solve for X:

-(2x)/3  = -2

x = 3

400

Solve for X:

4x-2(x-1) = 22

x = 10

500

Solve for X:

4x-2(1+3x)=5-3(x+2)

x = 1

Vocabulary

100

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

Coefficient

200

Symbol or letter that represents an unknown value

Variable 

300

Terms that have the same variable.

Like terms 

400

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

Distributive Property

500

An equation that includes fractional parts

Rational Equation 

Rational Linear Equations

100

 Solve for X:

(2x)/5  + x/2 = 9

 

x =10

200

Solve for X:

(2x)/7  - x/5 = 1

x =-21

300

Solve for X:

(2x-3)/7  = (3x-5)/10

x = 5

400

Solve for X:

(2x-1)/5 = (5x-11)/4

x=3

500

Solve for X:

(2x)/3-5/6=(5x)/6-2/3

x=-1

Linear Equations 2

100

Solve for X:

18-x=11

x = 7

200

Solve for X:

5/2 x=10

x = 4

300

Solve for X:

4x = 2-3(x+1)

x = -1/7

400

Solve for X:

8x+5 = 5x+14

x = 3

500

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

7x-15=3(x+1)

NO

Random

100

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

5x+3=18

YES

200

What is the GCF/HCF of 

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

3xy^2

300

Simplify: 

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

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

400

Simplify: 

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

(x^2y^2)/(a^2bc) 

500

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

(3x)/5=x-6

YES