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: 'Three times the sum of a number and 7 is equivalent to 57.'

Back

3(x + 7) = 57

Front

Translate: 'Eight less than three times a number is equivalent to ten more than one and half times the same number.'

Back

3x - 8 = 1.5x + 10

Front

Translate: 'Five times a number is equivalent to thirty-two less than nine times the same number.'

Back

5x = 9x - 32

Front

Translate: 'The sum of four consecutive odd integers is equivalent to 232.'

Back

x + (x + 2) + (x + 4) + (x + 6) = 232

Front

What does 'consecutive odd integers' mean?

Back

Integers that follow one another in order, where each integer is odd (e.g., 1, 3, 5, 7).

Front

How do you represent a number in algebra?

Back

Use a variable, commonly 'x', to represent the unknown number.

Front

What is the importance of parentheses in equations?

Back

Parentheses indicate the order of operations and clarify which numbers are being added or multiplied together.

Front

What does 'equivalent to' mean in a word problem?

Back

It indicates that two expressions represent the same value and can be set equal to each other.