Linear Equations and Inequalities

Simplify Expressions

100

6n + 4n - 8n

What is 2n

200

5x + 4x - 3

What is 9x - 3

300

3x + 9 - 3 - 6x

What is -3x + 6

400

6y²  + 2y - y² -10y

What is 5y² - 8y

500

-4(x +1) -7(-x +2)

What is 3x-18

Distributive

100

-9(b -5)

What -9b + 45

200

-(y +7y)= 16

What is -2

300

1/2(4x -14)= 13

What is x= 10

400

5(x-2) - 4 = 11

What is x=5

500

-3(x-8)-(x+8)= -20

What is x=9

Inequalities

100

What is the smallest integer solution to x > 8

What is 9

200

What is the solution for x +8 < 20?

x < 12

300

-5x < 30

What is x > -6

400

-4x - 6 > 42

What is x < -12

500

What is the overall truth value for 

-2 < 5 and -2 < -3

False

Variable on Both Sides

100

-7x -165= x + 75

What is x=-30

200

1/2 (6x -2)= 3/4(12 + 8x)

What is x= -2

300

7(h+3)=6(h-3)

What is h=-39

400

-2(2f-4)=-4(-f+2)

What is f=2

500

-2 (x - 7 ) > -10 - 6x

x > -6

Tricky Equations

100

What property is being applied in the following: 

-3(x - 7) = -3x + 21

What is the distributive property

200

What are the solutions to the interval notation

[-3,1) 

What is -3,-2,-1,0 

300

Determine the truth value for 

3(x + 2) < 2x - 5  when x = -11

What is false

400

What is the equation of a triangle's perimeter whose consecutive odd sides is 69. 

What is x + x +2+ x+ 4 = 69 or

                3x + 6 = 69

500

What is the equation that represents: twice the difference of 9 and a number the result is 24 less than x

What is 2(x - 9) = x - 24