5h + 2 + 2h = 23
h = 3
2(x + 5) = 14
x = 2
Simplify. 8b + 3b
11b
4x + 9 = 33
x = 6
Julie is 3 years older than her sister. Julie's age is 11 years old. Write an equation to determine how old is her sister?
n + 3 = 11
3b + b - 8 = 4a
b = 3
5(d - 2) = 40
d = 10
Simplify. 19x - 24x
-5x
x + 3x = -8
x = -2
Mr. Cushman bought 7 Moana t-shirts plus one water bottle that costs $2 for a total of $90.93. Each t-shirt cost the same amount. Write an equation to determine how many Hannah Montana t-shirts did Mr. Cushman buy?
7n + 2 = 90.93
3a + 12 - 6a = -9
a = 7
7(4 - t) = -84
t = 16
Simplify. 3 + 5(a + 4)
5a + 23
4(y - 2) + y = -13
y = -1
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. Write an equation to determine how many apples were in each box?
4a - 3 = 109
a = 28
-6 = -3y + 4 + 5y
y = -5
-2(x - 9) = -24
x = 21
Simplify. - (2b - 4)
-2b + 4
-6(m + 1) + 18 = 24
m = -2
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. Write an equation to determine the cost for a bag of raisins?
17r + 2.97 = 34.76
78 = 3c + 12 - c + 4
c = 31
-13(4 + 2a) = 208
a = -10
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
7k - 8 + 2(k + 12) = 52
k = 4
When you count by ones from many integer, 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. What are the integers?
n + n + 1 + n + 2 = 48