Vocabulary
Coefficient
The number that is multiplied by the variable(s) in a single term.
2x = 12
Two times a number equals 12
A number minus 7 is eighty-eight
x - 7 = 88
A number plus 9 equals 45
x = 36
Mr. Klein has some number of markers. Ms. Gingrich has 45 markers. Together they have 100 markers.
m + 45 = 100
Mr. Klein has 55 markers
Constant
A term that does not contain any variables.
x - 15 = 100
15 less than a number is 100
or
a number minus 15 is 100
The product of 12 and a number is 60
12x = 60
2 times a number minus five is 15
x = 10
You and three other friends split the cost of dinner equally. Each person ends up paying $12.00.
d/4 = 12
What is a variable? Give an example
a quantity that may change within the context of a mathematical problem or experiment.
letters x, y, and z are common generic symbols used for variables.
20 = 5x + 2
20 equals 5 times a number plus 2
A number split in half is the same as 150
x/2 = 150
27/x - 9= 0
x = 3
It costs $3.50 per game to bowl. You also pay a one time fee of $4.00 for shoes. Your total was $14.50. Write an equation.
3.5b + 4 = 14.50
What does it mean to "find the product" of two numbers?
Multiply them
x/4 = 500
A number divided by 4 is 500
Ninety-nine equals the quotient of a number and 3
99 = x/3
The sum of 10 and a number minus 4 equals 30
r = 24
Timmy had a big bag of Reese's. He split them with his friend Billy. He then gave 10 to his girl friend. At the end of the day he had 8 Reese's left. Write an equation.
c / 2 - 10 = 8
What does it mean to "find the quotient" of two numbers?
Divide them
9 + 6 + x = 35
The sum of 9, 6, and a number equals 35
The sum of 4, 8, and a number is twenty-six
4 + 8 + x = 26
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
How many minutes will she need to finish labeling all books if she takes no breaks and labels:
10 books a minute
15 books a minute
1. 75 minutes or 1 hour and 15 minutes
2. 50 minutes
You and a friend go on a road trip for 3 days. You spend x dollars a night for a hotel room. You also spent $8 a day on gas and $10 a day on food. You spent a total of $180. Write an equation.
3(x + 8 + 10) = 180
or simplified to 3x + 54 = 180