Translating Expressions & Equations

Front

What does the equation \( \frac{n}{5} = 5 \) represent in words?

Back

A number split by 5 is 5.

Front

What is the term for the solution to a division problem?

Back

Quotient.

Front

If Yelena is 14 years old and is 2 years older than 3 times her brother's age, what equation can be used to find her brother's age?

Back

\( 2 + 3b = 14 \)

Front

What is the term for the solution to a multiplication problem?

Back

Product.

Front

If Johnny ran 6 miles and Grace ran some number (n) times as far, how can we express the distance Grace ran?

Back

\( 6n \)

Front

What is the general form of a linear equation?

Back

\( y = mx + b \) where m is the slope and b is the y-intercept.

Front

What does it mean to translate an expression?

Back

To convert a verbal statement into a mathematical expression or equation.

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equality sign, while an equation does.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is the first step in solving the equation \( 3x + 5 = 20 \)?

Back

Subtract 5 from both sides to get \( 3x = 15 \).