Quarterly Exam #2 Interactive Review

Front

What is the total cost of purchasing 13 coffee mugs at $8.50 each?

Back

Total cost = 13 mugs * $8.50/mug = $110.50.

Front

If a manager spends $132.50 on coffee mugs and keychains, how much is left after buying 13 coffee mugs?

Back

Amount spent on 13 mugs = $110.50. Remaining amount = $132.50 - $110.50 = $22.00.

Front

How many keychains can be purchased with $22.00 if each keychain costs $2.75?

Back

Number of keychains = $22.00 / $2.75 = 8 keychains.

Front

Define a linear equation in the context of a word problem.

Back

A linear equation is an equation that represents a straight line when graphed, often used to model relationships between two variables.

Front

What is the formula for calculating the total cost of items purchased?

Back

Total Cost = (Number of Items) * (Cost per Item).

Front

Explain the concept of variables in algebra.

Back

Variables are symbols (like x or y) that represent unknown values in mathematical expressions or equations.

Front

What does it mean to solve for a variable in an equation?

Back

To solve for a variable means to isolate the variable on one side of the equation to find its value.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables; it shows how much one variable changes for a unit change in another.

Front

Define the term 'system of equations'.

Back

A system of equations is a set of two or more equations with the same variables, which can be solved together.

Front

What is the method of substitution in solving systems of equations?

Back

The method of substitution involves solving one equation for one variable and then substituting that expression into the other equation.