Solving by Combining Like Terms
Solving by Using the Distributive Property
Solving One-Step Equations
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
h + 20 = 54
h + 20 - 20 = 54 - 20 h = 34
100
4x + 9 = 33
x = 6
100
DEFINE A VARIABLE, WRITE AN EQUATION, & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age; n + 3 = 11; n = 8; Julie's sister is 8 years old.
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
m - 24 = 12
m - 24 + 24 = 12 + 24 m = 36
200
x + 3x = -8
x = -2
200
DEFINE A VARIABLE, WRITE AN EQUATION, & SOLVE: Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much does each t-shirt cost?
n - # of t-shirts; 7n = 90.93; n = 12.99; Each t-shirt cost $12.99.
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -56 - 7t
28 is not equal to -56. There is no solution to the equation.
300
-4b = 20
b = -5
300
(m - 7) / 4 = -12
y = -41
300
DEFINE A VARIABLE, WRITE AN EQUATION, & SOLVE: Tyler has 4 boxes of apples. Each box has the same number of apples. There is a total of 108 apples. How many apples were in each box?
a - # of apples in each box; 4a = 108; a = 27; There were 27 apples in each box.
400
2y - 6 = -3y + 4 + 5y
-6 is not equal to 4. There is no solution to the equation.
400
-2(x - 9) = -24
x = 21
400
-6k = -36
k = 6
400
-6(m + 1) + 18 = 24
m = -2
400
DEFINE A VARIABLE, WRITE AN EQUATION, & SOLVE: You save $25 each week. How many weeks will it take you to save $1,000?
w - # of weeks; 25w = 1000; w = 40 It will take me 40 weeks to save $1,000.
500
16 + 2c = 3c + 12 - c + 4
16 is equal to 16. There are infinite solutions to the equation.
500
-5(4 + 2a) = -20 - 10a
-20 is equal to -20. There are infinite solutions to the equation.
500
y / 9 = -12
y = -108
500
(w / 6) + 10 = -5
w = -90
500
DEFINE A VARIABLE, WRITE AN EQUATION, & SOLVE: Four friends are playing a card game called Go Fish. Each person received the same number of cards. There are 52 cards in a deck of cards. How many cards did each person receive?
c = # of cards; 4c = 52; c = 13; Each friend received 13 cards.
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