Algebra First Semester Review

Front

What is the slope of the line represented by the equation y = 3x + 8?

Back

The slope is 3.

Front

Identify a line that is less steep than y = 3x + 8.

Back

y = 2x + 7.

Front

How do you solve the equation 5x - (5 - 2x) + 10 = 2x + 3(2x - 2)?

Back

Combine like terms and isolate x to find x = 11.

Front

What does it mean for a relationship to represent direct variation?

Back

A relationship represents direct variation if it can be expressed in the form y = kx, where k is a constant.

Front

What is the definition of a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What does a vertical translation of a graph mean?

Back

A vertical translation moves the graph up or down without changing its shape.

Front

What is a horizontal translation of a graph?

Back

A horizontal translation moves the graph left or right without changing its shape.

Front

What is the effect of a vertical stretch on a graph?

Back

A vertical stretch increases the distance of points from the x-axis, making the graph taller.