SOL 5.19 Algebra and Variables

Front

What is an equation?

Back

An equation is a mathematical statement that shows the equality of two expressions, typically containing variables.

Front

What is a variable?

Back

A variable is a symbol, usually a letter, that stands for an unknown number.

Front

What does the equation 4x = 7 represent?

Back

It represents a situation where 4 times an unknown number (x) equals 7.

Front

How do you solve the equation 8x = 64?

Back

Divide both sides by 8 to find x: x = 64 ÷ 8 = 8.

Front

What does 's' represent in the sentence: 'There are 2 fewer students in Mrs. Falls' class than in Mrs. Smith's'?

Back

The variable 's' represents the number of students in Mrs. Smith's class.

Front

What is the purpose of using variables in algebra?

Back

Variables are used to represent unknown values and to create general formulas that can be applied to various situations.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition and multiplication) without an equality sign.

Front

What does the equation 6x = 150 tell us about Nick's earnings?

Back

It tells us that Nick earns $6 for each hour he works, and he worked enough hours to earn a total of $150.

Front

What is the solution to the equation x + 4 = 3?

Back

To solve for x, subtract 4 from both sides: x = 3 - 4, so x = -1.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.