8M envision unit #2

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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 is the first step to solve the equation 5x + 9 = 2x - 3?

Back

The first step is to subtract 2x from both sides to get 3x + 9 = -3.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the cost of labor if a plumber charges $25 per hour?

Back

If a plumber charges $25 per hour, then for 2.5 hours of labor, the cost would be 2.5 * 25 = $62.50.

Front

What is the purpose of the distributive property in algebra?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the slope of the line represented by the equation y = -3x - 3?

Back

The slope of the line is -3.

Front

What operation is performed to both sides of an equation to maintain equality?

Back

You can perform addition, subtraction, multiplication, or division to both sides of an equation to maintain equality.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5, which is the point where the line crosses the y-axis.