Solve by Combining Like Terms
Without solving, how many solutions are there to this equation?
2x + 3 = -8
One solution.
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
Without solving, how many solutions are there to this equation?
2x + 5 = 2x - 4
No solutions.
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 Each t-shirt cost $12.99
Without solving, how many solutions are there to this equation?
6x + 9 = 2x + 1 + 4x
No solutions.
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?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
Without solving, how many solutions are there to this equation?
5(x – 10) = 5 – 4x
One solution.
Ofelia has a certain amount of money. If she spends $9, then she has a fourth of the original amount left. Write an equation and answer, how much money did Ofelia have originally?
x-9=x/4
Ofelia had 12 dollars originally.
Without solving, how many solutions are there to this equation?
4(x – 3) = 20x – 12 – 16x
When you count by ones, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48.
Write an equation to represent the situation, and what are the integers?
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.