Algebra Class: Converting Sentences to Equations

What does the phrase "the difference between" represent in an equation?

The phrase "more than" means to subtract in an equation.

What is the equation for the sentence: "Four times a number is 20"?

The quotient of a number and five is equal to __________.

Match the following phrases with their corresponding mathematical operations:

Converting Sentences to Equations

When a sentence says "more than", it means addition.
When a sentence says "less than", it means subtraction.
The word "is" represents an equals sign (=) in an equation.
When a sentence says "the quotient of", it represents division, expressed as a fraction.
When a sentence says "the sum of", it represents addition.

Example Sentences and Equations

Five more than three times a number is 26.
- Equation: 3x + 5 = 26
Six less than five times a number is nine.
- Equation: 5x - 6 = 9
The difference between four times a number and seven is five.
- Equation: 4x - 7 = 5
Seven more than the quotient of a number and three is ten.
- Equation: x/3 + 7 = 10
Five less than three times the sum of a number and four is 22.
- Equation: 3(x + 4) - 5 = 22

Solving Equations

Combine like terms on both sides of the equation.
Isolate the unknown variable (x) using inverse operations.
To eliminate a fraction, multiply both sides by the denominator.
Divide both sides by the variable's coefficient to solve for x.

This quiz will test your understanding of how to convert verbal sentences into mathematical equations. You'll learn the meanings of phrases like 'more than' and 'less than', and how to represent them as equations. Perfect for algebra students looking to strengthen their skills in forming equations from word problems.