Solving by Combining Like Terms
2(x + 5) = 14
x = 2
Solve. 6p - 18 -2p ≤ -2
p ≤ 4
4x + 9 = 7x - 33
x = 14
WRITE AN EQUATION & SOLVE: A movie theater charges the same price for every ticket. Maria buys 5 tickets and pays $42.50 total. What is the price of one ticket?
$8.50
-4b + 3b - 8 = 4
b = -12
-5(d - 2) = 40
d = -6
Solve. 2(6x - 5) - 11x < 14
x < 24
9 + 3(2x - 5) = x + 18
x = 5
WRITE AN INEQUALITY & SOLVE: Bella earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120?
x ≥ 16
0.8x - 0.3x + 7 + 1.2x - 5 = 19
x = 10
-7(4 - t + 2t) = -84
t = 8
Solve. -4r + 2(12r + 7) ≤ -16
r ≤ -1.5
3/2x + 7 = 1/2x + 25
x = 18
WRITE AN EQUATION & SOLVE: 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?
b = 28
16 = 3/2x + 1/4x - 5
x = 12
0.25(12x - 8) + x = 10
x = 3
Solve. -4(5x - 2) + 9x ≥ 41
x < -3
2/3(3x + 6) - 4 = 1/2(2x - 10)
x = -5
WRITE AN EQUATION & SOLVE: Mr. Brent goes to the grocery store and purchases 17 bags of bread and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of bread?
$1.87
(7x +14) / 5 - 3 = 11
x = 8
5/4x - 1/2(2x - 8) = 6
x = 6
-4/5(1/5x + 45) + 10 ≥ -6
x < -125
2x + 3 = (2x+5)/2
k = -1/2
WRITE AN INEQUALITY & SOLVE: Five times the sum of Mark's age and 2 is at most 20. What are the possible ages of Mark?
x <= 2, so 0-2 years old