CPM Algebra Ch 1-4 Review

Front

What is the value of f(-1) for the function f(x) = 3x - 7?

Back

f(-1) = 3(-1) - 7 = -3 - 7 = -10.

Front

Solve the equation: 32 - 7x = -6(x + 3)

Back

x = -3, so the solution is x = 50.

Front

Multiply the polynomials: (3x - 5)(2x + 3)

Back

= 6x^2 + 9x - 10x - 15 = 6x^2 - x - 15.

Front

What is the y-value of the solution for the system of equations: 2x + y = 1 and 3x + 2y = -2?

Back

y = -7.

Front

Write the equation of the line with slope -1/3 and y-intercept -2.

Back

y = -\frac{1}{3}x - 2.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.

Front

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

Back

The slope-intercept form is given by 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

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the quadratic formula?

Back

The quadratic formula is x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} for the equation ax^2 + bx + c = 0.