Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify.
8b + 3b
11b
100
(1/4)(8x - 12) = 21
x = 12
100
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.
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify.
19x - 24x
-5x
200
4(y - 2) + y = -13
y = -1
200
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.
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify.
3 + 5(a + 4)
5a + 23
300
Explain the error that was made when solving this equation and then correctly solve the equation.
They forgot to keep the negative sign with the term of 2x. They should have divided both sides by -2 instead of 2. The correct answer is x = -9
300
The sum of two numbers is 139. The second number is one more than twice the first. What are the two numbers?
46 and 93
400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify.
- (2b - 4)
-2b + 4
400
-6(m + 1) + 18 = 24
m = -2
400
The length of one of the sides of a triangle is twice the length of the shortest side. The other side is 3 less than four times the length of the smallest side. If the sum of the three sides is 60 cm, the find the length of the three sides.
sides lengths: 9 cm, 18 cm, and 33 cm
500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
Simplify.
7(t + 8.5) - 5t + 4
2t + 63.5
500
7k - 8 + 2(k + 12) = 52
k = 4
500
When you count by ones from any 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 n = 15 The integers are 15, 16, and 17.