Alg 1 CP - Unit 2 Review (Solving)

Simplifying Expressions

100

Simplify -x - 4 + 5x - 9

4x - 13

200

Simplify -4(-2x + 5)

8x - 20

300

Simplify: 4 - (x + 1) + 3x

2x + 3

400

Simplify: -2x + 3y - 3(x + 1) - 7x - 8(y - 4)

-12x - 5y + 29

500

Simplify: 

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

-x-1/4

Solution Checking

100

Is x=2 a solution a solution to x - 2 = 4? Why?

No, because it makes the equation false.

200

Is x = 1 a solution to the equation 2x - 3 = -1? Why or why not?

Yes, it makes the equation true?

300

Is x = -4 a solution to the equation 2 - 3x = 14?

Yes, it makes the equation true.

400

Is x = -2 a solution to 4x²-1= -17? Why or why not?

No, because it makes the equation false.

500

Is  x=1/2 a solution to 

4x-3/4=1/4

No, it makes the equation false.

Solving with Variables on One Side

100

Solve: -x/4=2

x= -8

200

Solve: -2x + 6 = -18

x = 12

300

Solve:  2(x-1)+6=-12 

x = -8

400

Solve: 4 - (3x - 8) + 6x = -18

x = -10

500

Solve: 

1/2x-3/4(x+4)=0

x = -12

Solving with Variables on Both Sides

100

Solve: 2x - 1 = -4x + 11

x = 2

200

Solve: 6 - 8x = -2x

x = 1

300

Solve: 2(x - 3) = 4x + 3x + 9

x = -3

400

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

x = 6

500

Solve:  1/2x-3(x+1)=4/5x-3/2 

x= 5/11

Types of Solutions

100

How many solutions does 4x - 2 = 4x + 2 have? If one, what is the solution?

No solution

200

How many solutions does 6x = 12x have? If only one, what is the solution?

One solution, x = 0.

300

How many solutions does 4x - 6 = 2(2x - 1) - 4 have? If one, what is the solution?

Infinitely many solutions

400

How many solutions does 2(x + 1) - 5 = 2(-x - 1) - 5 have? If one, what is the solution?

One solution, x = -1

500

How many solutions does the equation  1/2(4x - 8) + 2 = 1/4(8+8x)-4 have? If one, what is the solution?

Infinitely many solutions