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Equations with Division
Equations with Like Terms
Equations with Distributive Property
Write Equations from Sitations
Mixed Equations
100
x/4 - 6 = 2
x/4 - 6 = 2 +6 +6 x/4 = 8 x/4 x 4 = 8 x 4 x = 32
100
2b - 8 + 5b + 2 = 15
2b - 8 + 5b + 2 = 15 7b - 6 = 15 b = 3 +6 +6 7b = 21 /7 /7
100
2(x + 5) = 16
2x + 10 = 16 -10 -10 2x = 6 /2 /2 x = 3
100
Laura babysits for her aunt. She earns $7.50 per hour. Last Thursday, Laura earned $30. Write an equation that determines the number of hours, h, Laura worked last Thursday. How many hours did she work?
7.5h = 30 /7.5 /7.5 h = 4
100
0.75x + 0.82 = 3.45
0.75x + 0.82 = 3.45 -0.82 -0.82 0.75x = 2.63 /0.75 /0.75 x = 3.51
200
x/7 + 8 = 14
x/7 + 8 = 14 -8 -8 x/7 = 6 x7 x7 x = 42
200
4 - 12 - g + 4g = 28
3g -8 = 28 +8 +8 3g = 36 /3 /3 g = 9
200
3(t + 1) =18
3t + 3 = 18 -3 -3 3t = 15 /3 /3 t = 5
200
Marques wants to rent a motorbike. There is a $50 safety deposit and the rental is $30 per hour. If Marques rents the motorbike and spends a total of $140, write an equation that shows how to find the total number of hours, h, Marques rented the motorbike. How many hours did he rent the motorbike?
30h + 50 = 140 -50 -50 30h = 90 /30 /30 h = 3
200
1/2(12x -6) + 10 - 2x = 37
6x - 3 + 10 -2x 4x + 7 = 37 -7 -7 4x = 30 /4 /4 x = 7.5
300
c/9 - 24 = -18
c/9 - 24 = -18 +24 +24 c/9 = 6 x9 x9 c = 54
300
5u + 7 -12 -3u - 6 - u = 20
u - 11 = 20 +11 +11 u = 31
300
2(3y - 5) = 14
6y - 10 = 14 +10 +10 6y = 24 /6 /6 y = 4
300
Larrin wants to open a bank account at his local bank. The account requires an initial deposit of $100. Larrin opens the account and then deposits $45 per week. Write an equation that shows how long it will take Larrin to have $415 in his account. Let w represent the number of weeks.
45w + 100 = 415 -100 -100 45w = 315 /45 /45 w = 7
300
5 -(2x + 3) - 8x =
5 - 2x - 3 - 8x -10x +2 = 48 -2 -2 -10x = 46 /-10 /-10 x = -4.6
400
p/8 + 100 = 72
p/8 + 100 = 72 -100 -100 p/8 = -28 x8 x8 p = 224
400
7 - 3v + 2 + 8v - 6 - 12v = 45
-7v + 3 = 45 -3 -3 -7v = 42 /-7 /-7 v = -6
400
6(3k + 5) = 39
18k + 30 = 39 -30 -30 18k = 9 /18 /18 k = 1/2
400
The cost of a gym membership is $38 per month plus a $75 sign up fee. Write an equation to show how much a gym membership cost, C, for any number of months, m. How much will one year cost?
38m + 75 = C 38(12) + 75 = C 456 +75 = C 456+75 = 531
400
Raque' earns $12 an hour at her mom's restaurant plus a bonus of $75. How many hours will it take Raque' to earn $255? A) Write an equation to represent the situation. B) Solve the equation.
12h + 75 = 255 -75 -75 12h = 180 /12 /12 h = 15
500
r/5 + 19 = 57
r/5 + 19 = 57 -19 -19 r/5 = 38 x5 x5 r = 190
500
9y - 8 + 6 - 2y + 13y - 3 + 7 = -198
20y + 2 = -198 -2 -2 20y = -200 /20 /20 y = -10
500
9(3x - 5) = 9
27x - 45 = 9 +45 +45 27x = 54 /27 /27 x = 2
500
Sunflower seedlings are planted at an initial height of 0.25 inches. They grow at a rate of 0.5 inches per week. Write an equation to find the number of weeks for a sunflower seedling to reach a height of 8.75 inches. How many weeks will it take?
0.5w + 0.25 = 8.75 -0.25 -0.25 0.5w = 8.50 /0.5 /0.5 w = 17
500
d/8 + 450 = 275
d/8 + 450 = 275 -450 -450 d/8 = 175 x8 x8 d = 1400