Translating expressions and equations

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) without an equal sign.

Front

What is an equation in mathematics?

Back

An equation is a statement that two expressions are equal, containing an equal sign (e.g., 2x + 3 = 7).

Front

Translate the phrase: '5 more than a number' into an algebraic expression using the variable n.

Back

n + 5

Front

Translate the phrase: 'The product of 3 and a number decreased by 2' into an algebraic expression using the variable x.

Back

3x - 2

Front

If Jim paid a gym membership fee of $50, plus $20 per month, how would you express the total amount paid after m months?

Back

50 + 20m

Front

How do you solve the equation 50 + 20m = 290 for m?

Back

Subtract 50 from both sides: 20m = 240. Then divide by 20: m = 12.

Front

Translate the phrase: '8 less than the product of 4 and a number' into an algebraic expression using the variable m.

Back

4m - 8

Front

What does the term 'quotient' refer to in mathematics?

Back

The quotient is the result of dividing one number by another.

Front

Translate the phrase: 'The quotient of a number and seven, decreased by four' into an algebraic expression using the variable y.

Back

(y / 7) - 4

Front

What is the difference between an expression and an equation?

Back

Expressions do not have an equal sign, while equations do have an equal sign.