Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100
4x + 9 = 33
x = 6
100

On a map, 1 inch equals 20 miles. If two cities are 7 inches apart on the map, how far are they actually apart?

140 miles

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
x + 3x = -8
x = -2
200

On a map, 1 inch equals 15 miles. If two cities are 9 inches apart on the map, how far are they actually apart?

135 miles

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4(y - 2) + y = -13
y = -1
300

A 22-inch candle burns down in 11 hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a 16-inch candle to burn down?



8 hours

400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400
-6(m + 1) + 18 = 24
m = -2
400

Madison buys 8 bottles of apple juice at the corner store for a total cost of $6.96. If each bottle costs the same amount, how much is 14 bottles of juice?

$12.18

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
7k - 8 + 2(k + 12) = 52
k = 4
500

A company orders 22 boxed lunches from a deli for $177.10. If each boxed lunch costs the same amount, how much do 26 boxed lunches cost?  

$209.30

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