8th Grade Unit 1 Review

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula P = 2(length + width).

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values that can satisfy it, often resulting in a contradiction.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for y in the equation 5x + y = 16?

Back

To solve for y, subtract 5x from both sides: y = -5x + 16.

Front

What is the initial fee in Joe’s Canoes pricing model?

Back

The initial fee in Joe’s Canoes pricing model is $20.

Front

How do you set up an equation to find when two pricing models are equal?

Back

Set the total cost of each model equal to each other and solve for the variable representing time (hours).

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if every value of the variable satisfies the equation, often resulting in a true statement.