Equations and Expressions - Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the difference between an equation and an expression?

Back

An equation includes an equals sign and states that two expressions are equal, while an expression does not include an equals sign.

Front

How do you represent a decrease in temperature mathematically?

Back

A decrease in temperature can be represented by subtracting the decrease from the original temperature.

Front

What is the formula to calculate total cost when there is a fixed fee and a variable cost?

Back

Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units)

Front

If Clara pays $7.50 for admission and $6.25 per round of golf, how can we express her total payment?

Back

Total Payment = 7.50 + 6.25x, where x is the number of rounds.

Front

What does the term 'solving for x' mean?

Back

'Solving for x' means finding the value of x that satisfies the equation.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.