Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What is the first step to solve the system of equations: 4x - 3y = -10 and 2x + 3y = 4?

Back

Add the two equations together.

Front

What does it mean for a function to change at a constant rate?

Back

A function changes at a constant rate if its graph is a straight line, indicating a linear relationship.

Front

What does it mean for a function to change exponentially?

Back

A function changes exponentially if its growth rate is proportional to its current value, resulting in a curve that increases or decreases rapidly.

Front

What is the solution to the equation 3 - 8x = \frac{8}{5}x?

Back

x = \frac{5}{16}.

Front

How do you find the y-intercept of a quadratic function?

Back

To find the y-intercept, set x = 0 and solve for y.

Front

What is the y-intercept of the quadratic function y = 2(x - 2)^2 + 2?

Back

(0, 10).

Front

What is point-slope form of a linear equation?

Back

Point-slope form is given by y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

Write the point-slope form for the line through the point (10, -9) with a slope of -2.

Back

y + 9 = -2(x - 10).

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.