Equations and their solutions

Distributive Property

100

Solve for x.

6(−5x + 7) = -18

x = 2

200

Solve for x.

4(3x - 1) - 5 = 75

x = 7

300

Solve for x.

6x - 2(x - 5) =46

x = 9

400

Solve for y.

3(y-1)+2(y+3)=13

y = 2

500

Solve for x. 

4(x + 12) = 2(2x + 8) + 10

No solution

Systems of Equations

100

Solve the equations for y if x = 5

x + y = 12

y=7

200

Solve the equation for x if y = 2x

x + y = 9

x=3

300

How many solutions does this equation have?

2(3x + 5) = 6x + 10

Infinite solutions

400

How many solutions does this equation have?

3x - 5 = 31

x=12, one solution

500

How many solutions does this equation have?

2x+3 = 2x - 3

No solution

Solving Equations

100

5h + 2 + 2h = 23

h=3

200

3b + b - 8 = 4

b=3

300

78 -3c = 12 - c + 4

c=31

400

-2(x - 9) + 3x = -24 + 3x

x=21

500

7(4 - t) - 4t + 8 = -2(2t -4) - 84

t=16