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Solving by Combining Like Terms
Solving by Using the Distributive Property
Classifying Numbers
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Pi
Irrational and real
100
4x + 9 = 33
x = 6
100
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
An integer that is not a whole number.
Any negative number that is not a decimal or fraction.
200
x + 3x = -8
x = -2
200
Shelly bought 7 t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many t-shirts did Shelly buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Three rational numbers.
Any number that can be written as a fraction.
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
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 12) = 24 -2x
All real numbers
400
These numbers can not be written as a fraction. They are always decimals that never end and they never repeat.
Irrational numbers
400
-6(m + 1) + 18 = 24
m = -2
400
A preschool teacher 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
2c +7 = 3c + 12 - c + 4
No Solution
500
-13(4 + 2a) = 208
a = -10
500
A whole number that is not natural.
0
500
7k - 8 + 2(k + 12) = 52
k = 4
500
When you count by ones fron 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 n = 15 The integers are 15, 16, and 17.