Solving by Combining Like Terms
2(x + 5) = 14
x = 2
Simplify 8b + 3b
11b
Factor
10x + 50 = __ (__ __)
10(x + 5)
WRITE AN EQUATION & SOLVE: Mark saves money in a bank account. After his birthday he increased his savings by $120. If Mark now has $564 in his bank account, how much money was in there before his birthday?
n - money before birthday; n + 120 = 564; n = 444
9x + 2 + 4x = 41
x = 3
Simplify 19x - 24x
-5x
Translate into algebra:
The product of a number and 4 increased by 15 is equal to 28.
4n + 15 = 28
Mr. Pluchino bought 12 Kissmas Bash T-shirts for a total of $515.88. Each t-shirt cost the same amount. How many Kissmas Bash t-shirts did Mr. Pluchino buy?
n - # of t-shirts 12n = 515.88 n = 42.99 Each t-shirt cost $42.99
7(4 - t) = -84
t = 16
Simplify 3 + 5(a + 4)
5a + 23
Factor:
-8x + 48 = __ (__ __)
-8(x - 6) or 8(-x + 6)
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.
-6 = -3y + 4 + 5y
y = -5
-30 + 5(4x + 3) - 10x = 75
x = 9
Simplify - (2b - 4)
-2b + 4
Translate into algebra:
ten less than double a number
2n - 10
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
3x - 3(4x + 2) = 102
a = -12
Simplify 7(t + 8.5) - 5t + 4
2t + 63.5
Simplify then FACTOR
7k - 18 + 2(k + 12)
3(3k + 2)
Steve traveled 300 km, which is 35 km less than half as far as he traveled yesterday. How far did he travel yesterday?
Let n = distance traveled yesterday; 1/2n-35 = 300; n=670 km