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

Jamal owns twice as many comic books as Levi owns.  Adding 6 to the number of comic books Jamal owns and then dividing by 7 gives the number Brooke owns.  If Brooke owns 30 comic books, how many does Levi own?

Levi owns 102 comic books.

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

Three friends ate dinner at a restaurant.  The total bill for their dinner was $27.00.  The friends decide to add a 15% tip and then split the bill evenly.  How much did each friend pay?

Each paid $10.35.

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 taxi service charges an initial fee of $1.50 plus $1.50 for every mile traveled.  If a taxi ride costs $21.00, how many miles did the taxi travel?

13 miles

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

Coach Willis has won 150 games during his career as a baseball coach.  This is 10 more than 1/2 as many games as Coach Gentry.  How many games has Coach Gentry won?

280 games

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

Miss Rankin's class is raising money for a class trip.  The class has $100.00 so far and needs to collect a total of $225.00.  How many $0.50 carnations must the class sell to reach its goal?

250 carnations

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