1st Semester Algebra Review

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

Given f(x) = -4x - 10 and f(x) = 10, find x.

Back

x = -5

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Is the graph of a vertical line a function?

Back

Not a Function.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means that the equations represent the same line.

Front

Solve the system: 4x - 6y = 12 and -2x + 3y = -6. How many solutions does it have?

Back

Infinitely Many Solutions.

Front

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

Back

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

Front

What is the definition of slope?

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.