Solving by Combining Like Terms
2(x + 5)
2x + 10
3x + 1 = 7
x = 2
Julie is 3 years older than her sister, Lisa. Julie's age is 11 years old. What is an equation we could use to figure out Lisa's age?
n + 3 = 11
3b + b + 6 = 18
b = 3
5(d - 2)
5d - 10
4x + 9 = 33
x = 6
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. What is an equation to represent this scenario?
4x - 3 = 109
-5a + 3a + 12= 20
a = -4
-2(x - 9)
-2x + 18
4x+15 = 25
x = 2.5
Lola bought three shirts for each of her friends at the mall. Then, she bought a $12 candle for her mom. She spent $54 in total. What is an equation to represent this scenario?
3x + 12 = 54
-3y + 4 + 5y = -6
y = -5
Expand the equation and solve.
7(-1t + 3) = 56
-7t + 21
t = -5
-9m - 17 = 16.75
m = -3.75
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?
n - # of t-shirts
7n = 90.93
n = 12.99
-1c + 4 + 3c + 12= 78
c = 31
Expand the equation and solve.
-15(2a + 4) = 150
-30a -60 = 150
a = -7
y/12 - 13 = -6
y = 84
Andre and Valeria are planning a fundraiser for the running club. They already spent $10 on decorations. If 20 people attend, how much will they need to charge each person to spend a total of $300?
20x - 10 = 300
20 x = 310
x = $15.50