Math Vocabulary
Identify the constant, coefficient, and variable.
x - 7 = -2
Constant: 7
Coefficient: 1
Variable: x
4x - 2 = 18
4x = 20
x = 5
Six less than a number is 21.
n - 6 = 21
n = 27
Interpret in words:
3x - 2 = 7
Two less than three times a number is 7.
12n - 3 = 57
12n - 3 = 57 - 3
12n = 54
n = 4.5
12n - 3 = 57
12n = 60
n = 5
Identify the constant, coefficient, and variable:
3s - 12 = 20
Constant: 12
Coefficient: 3
Variable: s
7x + 1 = 50
7x = 49
x = 7
Ten less than a number divided by four is 5.
n/4 - 10 = 5
n = 60
Interpret in words:
7x + 5 = 26
Five more than seven times a number is 26.
6t - 8 = - 50
6t = -58
t = -9.67
6t - 8 = - 50
6t = -42
t = - 7
Identify the constant, coefficient, variable, and total:
Ten less than a number multiplied by two is 20.
Constant: 10
Coefficient: 2
Variable: x
Total: 20
14x - 4 = 24
14x = 28
x = 2
Thomas buys a crate of 15 apples. He gives two to each of his friends and has three left over. How many friends did he give apples to?
2n + 3 = 15
n = 6
Interpret in words:
6x - 12 = 24
Twelve less than six times a number is 24.
Five less than twice a number is 27
is the same as
5 - 2n = 27
2n - 5 = 27
Identify the constant, coefficient, variable, and total:
The sum of five more than twice a number is 30.
Constant: 5
Coefficient: 2
Variable: x (any number)
Total: 30
3x + 7 = 40
3x = 33
x = 11
Greg gets a starting bonus of $10 at his new job where he earns $33 per hour. How many hours does he have to work to earn $1000?
33h + 10 = 1000
h = 30
5x + 4 = -11
5x + 4 = -11
2x - 2 = 30
x - 2 = 15
x = 17
2x - 2 = 30
2x = 32
x = 16
Identify the constant, coefficient, total, and what the variable represents:
Henry starts out with $10 in his savings account and works at a zoo for 3 hours per day to earn more money. He makes $21 each day. How many days does Henry have to work before he has $115 in his account?
Constant: 10
Coefficient: 21
Variable: days
Total: 115
13x - 44 = - 5
13x = 39
x = 3
Teresa wins a prize of $435. She puts $250 into her savings account and divides the rest equally among five friends as a gift. How much does each friend get?
5m + 250 = 400
m = 37
Represent on a balance scale:
4x + 8 = 44
4x + 8 = 44
x = 13
x = 14