Written Expressions
Solving by Using the Distributive Property
Classifying Solutions
Equation Grab Bag
Word Problems
100
The product of 13 and a number
13x
100
2(x + 5) = 14
x = 2
100
Name the number of solutions. 15x + 3 = 15x
no solution
100
4x + 9 = 33
x = 6
100
Write an equation and 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
The difference of a number and twice the number
n - 2n
200
5(d - 2) = 40
d = 10
200
Simplify. 2x + 4 = 4 + 2x
Infinitely many
200
x + 3x = -8
x = -2
200
Coach Allen bought 7 t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many t-shirts did Coach Allen buy?
n : # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
300
Seven subtracted from the reciprocal of a number.
7 - 1/x
300
7(4 - t) = -84
t = 16
300
Simplify. 5(a + 4) =20 + 5a
Infinitely many
300
4(y - 2) + y = -13
y = -1
300
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.
400
An admission fee of $5 plus an additional $2 per game.
5 + 2x
400
-2(x - 9) = -24
x = 21
400
Simplify. 3x + 5 = 10 - 5x + 2x
One Solution
400
-6(m + 1) + 18 = 24
m = -2
400
Mrs. Smith goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a bag of raisins?
r: cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87
500
The sum of 3 consecutive odd integers.
x + x+2 + x+4
500
-13(4 + 2a) = 208
a = -10
500
Simplify. .5(8x + 12) = 16x + 24
One solution
500
- 8 + 2(k + 12) = 52 -7k
k = 4
500
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.
M
e
n
u