Equations with Variables on Both Sides
5h + 2 = -2h + 23
h = 3
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.
3b - 8 = -b + 4
b = 3
Mr. Williams bought 7 t-shirts for a total of £63. Each t-shirt cost the same amount. How many t-shirts did Mr. Williams buy?
n - # of t-shirts 7n = 63.
n = 9
Each t-shirt cost £9.
3a + 12 = 6a - 9
a = 7
Simplify. 3 + 5(a + 4)
5a + 23
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 100 apples left in the boxes. How many apples were in each box?
a - # of apples in each box
4a - 3 = 100
a = 25 There were 25 apples in each box.
3(y - 2) = 4 + 5y
y = -5
Simplify. - 4(2b - 4)
-8b + 16
Mr. Marks goes to the grocery store and purchases 12 bags of raisins and a £3 jar of peanut butter. His total cost was £75. What was the cost for a bag of raisins?
r - cost of a bag of raisins
12r + 3 = 75
r = 6 Each bag of raisins cost £6
2c + 78 = 4(c + 4)
c = 31
-13(4 + 2a) = 208
a = -10
Simplify. 7(t + 2) - 5t + 4
2t + 18
How old am I if 300 reduced by 2 times my age is 244?
300 - 2x = 244
x = 28