Solving by Combining Like Terms Solving by Using the Distributive Property Expressions Equation Grab Bag Word Problems

h = 3
5h + 2 + 2h = 23

x = 2
2(x + 5) = 14

### 100

11b
Simplify. 8b + 3b

x = 6
4x + 9 = 33

### 100

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

b = 3
3b + b - 8 = 4

d = 10
5(d - 2) = 40

### 200

-5x
Simplify. 19x - 24x

x = -2
x + 3x = -8

### 200

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99 Mr. Cushman bought 7 Hannah Montana t-shirts for a total of$90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?

### 300

a = 7
3a + 12 - 6a = -9

t = 16
7(4 - t) = -84

### 300

5a + 23
Simplify. 3 + 5(a + 4)

### 300

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

### 300

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

### 400

y = -5
-6 = -3y + 4 + 5y

x = 21
-2(x - 9) = -24

### 400

-2b + 4
Simplify. - (2b - 4)

### 400

m = -2
-6(m + 1) + 18 = 24

### 400

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87 Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a$2.97 jar of peanut butter. His total cost was \$34.76. What was the cost for a bag of raisins?

### 500

c = 31
78 = 3c + 12 - c + 4

### 500

a = -10
-13(4 + 2a) = 208

### 500

2t + 63.5
Simplify. 7(t + 8.5) - 5t + 4

### 500

k = 4
7k - 8 + 2(k + 12) = 52

### 500

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.
When you count by ones fron many 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?

# Solving Multi-Step Equations

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