Write The Expression
10 more than a number
x + 10
x - 7 = 15
ADD 15 (+ 15)
x - 6 = 12
x = 18
IDENTIFY THE CONSTANT
2x + 7
7
Kenny is 3 years younger than his brother Timmy. Together their ages combine to be 44. Write an expression to solve for their ages.
x + x + 3 = 44
2x + 3 = 44
COMBINE LIKE TERMS
11 less than the product of a number and 3
3x - 11
2x = 16
DIVIDE BY 2 (/2)
2x + 4 = -8
x = -6
3h - 10
The variable is h
Mr. Armanious and Mr. Davidson are playing Call of Duty. They scored a total of 18 eliminations. Mr. A had twice as many eliminations as Mr. Davidson. How many eliminations did Mr. A have?
2x + x = 18
3x = 18
x = 6
Mr. A = 2x = 12
12 Eliminations
7 more than a number divided by 2
x/2 + 7
2x + 22 = 44
SUBTRACT 22 (-22)
x = 11
IDENTIFY ALL OF THE TERMS IN THE EXPRESSION:
6x - 12 + x
TERMS:
6x, -12 and x
A cleaning service charges $10 as an initial charge, plus an additional $3 per item of clothing they clean. Write an expression to represent the total amount you pay depending upon how many clothing items you bring.
The product of a number and 5 increased by 6
5x + 6
2x + 7 - 3x = 101
COMBINE LIKE TERMS
(2x - 3x)
2(x - 5) = -20
x = -5
IDENTIFY THE COEFFICIENT:
-x + 3
Mr. Dowd is 2 inches taller than Mr. Davidson. Together, their heights total 12 feet and 6 inches. Write and solve an equation to figure out both of their heights. (*HINT* Can you convert their height into an easier unit of measurement to solve?)
Convert the height into inches.
Davidson = x
Dowd = x + 2
12 feet 6 inches is 150 inches
x + x + 2 = 150
2x + 2 = 150
x = 74
Davidson is 74 inches and Dowd is 76.
That means Davidson is 6 foot 2 inches
Dowd is 6 foot 4 inches
A number broken into 3 equal parts then decreased by 4
x/3 - 4
2(4x - 4) = 24
DISTRIBUTIVE PROPERTY
Multiply the term on the outside of the parentheses (2) by the terms on the inside of the parentheses (4x and -4)
2(x + 6) + 4x = 66
x = 9
IDENTIFY THE COEFFICIENT IN SIMPLEST FORM:
3x - 4 - 2x
COMBINE LIKE TERMS:
(3x - 2x = x)
The coefficient of x is 1 [it is "invisible"]
DOUBLE JEOPARDY
BONUS RIDDLE:
What are the only two things you can't have for breakfast?
Lunch and Dinner