Combining Like Terms
Simplify.
2x + 4x + 7x
13x
Identify the VARIABLE(S).
9p + 9 - 5 = -12 + 6p
^ ^
p
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.
Solve for x
13+x=44
13 -13 +x = 44 -13 get x by itself
x = 31
What is the only number that has the same number of letters as its meaning?
Four
Simplify.
11r + 23 + 21r + 12
32r + 35
Identify the CONSTANT(S).
-6x + 14 = 1 - 8x
^ ^
14 and 1
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
Solve for a
4a + 10 - 2a = 16
4a - 2a + 10 = 16 Commutative Property
2a + 10 = 16 Combine like terms
2a +10 -10 = 16 -10 Combine like terms
2a = 6 Simplify
2a/2 = 6/2 get "a" by itself
a = 3
What letter does every odd number have in it?
Every odd number has an ‘e’ in it.
Simplify.
5a + 45 + 19a + w -20
24a + w + 25
Identify the COEFFICIENT(S).
16 + 32q + 4 = -28q + 40
^ ^
32 and -28
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.
Solve for n
-2(3n + 9) = 30
-2(3n) + -2(9) = 30 Distribute
-6n - 18 = 30 Simplify (watch negatives)
-6n - 18 +18 = 30 +18 Combine like TERMS
-6n = 48 Simplify
-6n/-6 = 48/-6 Get "n" by itself
n = -8
(3)
Corinne, Kenzie, Katie
Simplify.
-18x + 20x + 4r + 17r + 5 + 100r + 21
2x + 121r + 26
Name each TERM in this equation:
18n - 6 + 11 = 14 + 2n
18, 2 -> Coefficient
n -> Variable
6, 11, 14 -> Constants
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. 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
Solve for r
-2r - 3r = -13 - 7 - r
-5r = - 20 - r Combine like terms
-5r + r = -20 - r + r Move all like terms to the same side
-4r = -20 Get r by itself
-4r/4 = -20/4
r = -5
What unit of time is 1/1000 of a second?
A jiffy.
Simplify.
100x - 75x + 82 + 13a + 9 + 7a + 3a + 24x + 1
49x + 23a + 92
Name each TERM in this equation:
100x + 82 + 13a = 9 + 3a + 24x + 1
100, 13, 3, 24 -> Coefficients
x, a -> Variables
82, 9, 1 -> Constants
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.
Solve for k
7k - 8 + 2(k + 4) = 40
7k - 8 + 2(k) + 2(4) = 40 Distribute
7k - 8 + 2k + 12 = 40 Combine Like terms
7k + 2k - 8 + 12 = 40 Combine
9k + 4 = 40 Get k by itself
9k + 4 - 4 = 40 - 4 get k by itself
9k = 36 get k by itself
9k/9 = 36/9 get k by itself
k = 4
(go from 1 to 12)
8 x 1 = 8 8 x 2 = 16
8 x 3 = 24 8 x 4 = 32
8 x 5 = 40 8 x 6 = 48
8 x 7 = 56 8 x 8 = 64
8 x 9 = 72 8 x 10 = 80
8 x 11 = 88 8 x 12 = 96
At least 8 right for points!