Translating Word Problems into Equations

Front

What is the first step in translating a word problem into an equation?

Back

Identify the variables and what they represent in the context of the problem.

Front

Translate: 'One-third of the sum of a number and 24 is equivalent to 10.'

Back

1/3(x + 24) = 10

Front

Translate: 'Twice the difference of a number and 16 is equivalent to 28.'

Back

2(x - 16) = 28

Front

Translate: 'Lexi's Great Grandmother is twelve years older than six times her age. The sum of their ages is 117.'

Back

7x + 12 = 117

Front

Translate: 'Three-halves the difference of a number and 22 is equivalent to 45.'

Back

3/2(x - 22) = 45

Front

Translate: 'A gymnastics center charges a $60 registration fee and $15 per class. Olivia pays a total of $210.'

Back

15x + 60 = 210

Front

What does 'sum' mean in mathematical terms?

Back

The result of adding two or more numbers together.

Front

What does 'difference' mean in mathematical terms?

Back

The result of subtracting one number from another.

Front

What does 'equivalent' mean in the context of equations?

Back

Two expressions that have the same value.

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.