Vocabulary
An equation always has...
Equal sign (=)
m/16 = 8
m = 128
−9x + 1 = −80
x = 9
-2 = 2 - v/4
v = 16
The letter that represents an unknown number
variable
x − 7 = 13
x = 20
−15 = −4m + 5
m = 5
−6 = n/2 − 10
n = 8
x/8 + 4 =13
x = 72
What is a coefficient?
m − 9 = −13
m = -4
10 − 6v = − 38
v = 8
Your class budgets money from the class treasury for a school dance. Decorations will cost $50. The DJ charges $30 per hour. If your class has a total of $170 to spend on the dance, how many hours can you pay a DJ?
DOUBLE VALUE
30h + 50 = 170
h = 4 hours
-8a + 1 = -23
a = 3
What is the best word to describe this?
3x + 19
Expression
Twice a number is 34.
n = 17
−9x − 13 = −103
x = 10
−6 + x/4 = −5
x = 4
Explain the first step to solve this:
3/8x = 20
Multiply both sides by the reciprocal of 3/8, which is 8/3
(or, divide both sides by 3/8)
4 + p = 11
p = 7
You earn $15 per hour at your job. Each way, you pay $2.50 in bus fare. How many hours do you have to work in a day to take home $100?
DOUBLE VALUE
15h - 5 = 100
h = 7 hours.
You want to go to Africa for a photo safari. You need a total of $2,800. You can get $1,000 from your savings account and you can save $30 per week. How many weeks will it take you to save up for the trip?
DOUBLE VALUE
1,000 + 30w = 2,800
w = 90
The computer club sells 50 more than 3 times the number of pins the chess club sells. The computer club sold a total of 134 pins. How many pins does the chess club sell?
DOUBLE VALUE
3p + 50 =134
p = 28