1st Semester Algebra Review

Front

For the function f(x) = -3x + 3, find f(0).

Back

f(0) = 3.

Front

Solve: 7(x + 3) < 5x + 13

Back

x < -4.

Front

Write the equation of a line in point-slope form that passes through (3,8) and has a slope of 5/7.

Back

y - 8 = 5/7(x - 3).

Front

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

Back

The y-intercept is 2.

Front

Which system of inequalities is shown? y > -x - 1, y ≥ x + 4

Back

The system is y > -x - 1 and y ≥ x + 4.

Front

Define a linear function.

Back

A linear function is a function that graphs to a straight line, defined by the equation f(x) = mx + b.

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the term 'y-intercept' mean?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.