make up December 19

Front

What is the first step in solving the equation 3x + 33 = 0?

Back

Subtract 33 from both sides.

Front

What is the first step in solving the linear equation 2.5x - 15 = 0?

Back

Subtract 15 from both sides.

Front

What error did Austin make when solving the equation 7x - 3 = 8x - 9?

Back

Austin did not combine -3 and -9 correctly.

Front

What equation represents the total cost y for Ted's Taxi service if x is the number of miles?

Back

y = 2x + 5.

Front

What is a many-to-one relation in mathematics?

Back

A relation where multiple inputs (x-values) correspond to a single output (y-value).

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope (m) represent in a linear equation?

Back

The rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept (b) in a linear equation?

Back

The value of y when x is 0, representing where the line crosses the y-axis.