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
Mr. Corey sells Pokemon cards. He earns $50 a week plus $2 for each card he sells. Which equation can he use to find c, the number of cards he needs to earn exactly $500?
Solve the equations
2c + 50 = 300
c = 125
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
=?
9
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
Ms. Wolfe delivers groceries for WalMart. She earns $45 each week plus $3 per delivery she makes. Write an equation to find d, the number of deliveries she needs to make in order for her to earn $90.
Equation: 3d + 45 = 90
Deliveries: 15
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
Write an equation to represent this situation.
five more than a third of a number, x, is fourteen
Solve your equation to determine what x represents.
x/3 + 5 = 14
x = 27
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
Mr. Cavender delivers Grubub orders. He earns $25 a week plus $5 for each deliver he makes. Which equation can he use to find c, the number of delivers he needs to earn exactly $50?
5c + 25 = 50
c = 5