1st Semester Algebra Review

Front

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

Back

Subtract 11 from both sides.

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

Which set of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1)

Front

What is the y-intercept in the equation x + 2y = 4?

Back

2

Front

If a system of equations has one solution, what does the graph look like?

Back

Intersecting lines.

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

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

What is the standard form of a linear equation?

Back

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

Front

What is the domain of a function?

Back

The set of all possible input values (x-values).