Show:
Solving by Combining Like Terms
Using the Distributive Property
Simple Expressions
Equation Grab Bag
Word Problems
100
5h + 2 = 27
27-2=25 5h=25 25/5=5 A: h=5
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100
4x + 9 = 33
x = 6
100
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
7g - 11 = 38
38+11=49 7g=49 49/7=7 g=7
200
5(d - 2) = 40
d = 10
200
Simplify. 29x - 24x
5x
200
x + 3x = -8
x = -2
200
CJ bought 7 ugly sweaters for the holidays for a total of $140. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did CJ buy?
n - # of t-shirts 7n = 140 n = 20 Each t-shirt cost $20
300
3a + 18 = -9
-9-18=-27 3a=-27 -27/3=-9 a=-9
300
7(t-4) = 77
t = 15
300
Simplify. 3 + 5(3a + 4)
15a + 23
300
4(y - 2) + y = -13
y = -1
300
Jamezzzzzz has 7 boxes of apples. Each box has the same number of apples. After Jamezzzzzz eats 3 apples, there are 102 apples left in the boxes. How many apples were in each box?
a - # of apples in each box 7a - 3 = 102 a = 15 There were 15 apples in each box.
400
19 = -3y + 4
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400
6(m + 1) + 1 = 25
m = 3
400
Ms. Green goes to the supermarket and purchases 17 bags of raisins and a $2.50 jar of peanut butter. His total cost was $36.50. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.50 = 36.50 r = 2 Each bag of raisins cost $2
500
78 = 3c + 12 - c
c = 33
500
11(4 + 2a) = 99 (Halves are allowed as answer)
a = 2.5
500
Simplify. 7(t + 8) - 5t + 4
2t + 60
500
k+ 2(k + 6) = 72
k = 20
500
When you count by ones from any integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.