Solving Equations Variable on 1 or both sides
Solving Equations with Distribution
No Solution, Infinite Solution, or Solution
Literal Equations
Applications With Equations
200

-6 + 3z = 6 

z = 4

200

5(y + 3) = 35

y = 4 

200

-8(3x + 1) = 8(-3x - 1)

-8  = -8 

Infinite

200

Solve a 

m = a + f 

m - f = a

200

Amira buys cookies and onions at the store. 

She pays a total  of $51.40 

She pays a total of $6.18 for the cookies. 

She buys 7 bags of onions that each cost the same amount.

How much does each bag of onions cost. 

onions = $6.46

400

-13x + 8 = -8x -7 

x = 3

400

1/2(4x - 2) = 19 

x = 10

400

3(x - 3) = -8(2x - 3)

x = 23/19

400
F/R = 4H - N 

F = R(4H - N)

400

Tristian needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged him $50 for parts. The total was $643.75. What was the cost of labor, per hour? 

$125
600

2x - 1 = -7x - 37 

x = -4

600

3(-3x - 1) + 5x + 4 = -15 

x = 4 

600

5(-4x + 5) = 4(-5x + 6)

25 = 24 

No Solution

600

H = D2(B - 5G) 

B = H/D2+ 5G

600

Nathaniel wants to ride his bicycle 23.2 miles this week. He has already ridden 4 miles. If he rides for 4 more days, what is the average number of miles he would have to ride each day to meet his goal?

4.8 miles/ 5 miles 

800

2x + x - 4 = 7x + 6 - 8x 

x= 5/2

800

3x - (x + 2) = 4(2x - 1) 

x = 1/3

800

-3(4x - 6) + 7 = 4 (-3x + 7) - 4

25 = 24

No solution

800

Solve for a: 

(1/6) F3A = D

a = 6D/F3

800

Aisha wants to ride her bicycle 18.2 miles this week. She has already ridden 5 miles. If she ride for 4 more days, write and solve an equation which can be used to determine m, the average number of miles she would have to ride each day to meet her goal. 

3.3 Miles/ 4 miles 

1000

Simplify: 

13x - x + y + 13 - 14y - 7 + 20

12x - 13y + 26 

1000

-(2x - 6) + 10x = -5x - 2(-7x - 7) 

x = - 8

1000

-1/2(-8x - 4) - 9 = 5x + (-x - 7) 

-7 = -7 

Infinite Solution 

1000

Solve for A 

q2=  √FA - H 

a = (q+ H) / F

1000

Arianya took a taxi from her house to the airport. The taxi company charged a pick up fee of $1.70 plus $1 per mile. The total fare was $19.70, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride. 

x = 18 miles 

M
e
n
u