Expressions and Equations Review

Front

What is an expression in mathematics?

Back

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

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

How do you solve a simple linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the formula for calculating total cost with a daily rental fee and a one-time fee?

Back

The total cost can be calculated using the formula: Total Cost = Daily Rental Fee * Number of Days + One-Time Fee.

Front

If a van rental is $75 per day and a one-time insurance fee is $160, how would you express the total cost for x days?

Back

The total cost can be expressed as: Total Cost = 75x + 160.

Front

What is the first step to solve the equation 75x + 160 = 760?

Back

The first step is to subtract 160 from both sides of the equation.

Front

What is the solution to the equation 4x + 9 = 20 when x = -1?

Back

Substituting x = -1 gives: 4(-1) + 9 = 5, which does not equal 20.

Front

How do you find the combined age of two people if one is older than the other?

Back

Let the younger person's age be x. If the older person is 5 years older, their age is x + 5. The equation is x + (x + 5) = Total Age.

Front

What is the total cost for Felix if he pays a $20 annual fee and $15 per month for 11 months?

Back

Total Cost = 20 + (15 * 11) = 20 + 165 = $185.