Front

What is the solution for the system of equations y = -2x + 9 and y = 4x - 3?

Back

(2, 5)

Front

What is the domain of the linear function defined by the inequality -4 ≤ x < 6?

Back

-4 ≤ x < 6

Front

What is the range of the linear function defined by the inequality 0 ≤ y < 4?

Back

0 ≤ y < 4

Front

How do you calculate the height of a ball dropped from 300 feet after t seconds using the function h(t) = 300 - 16t?

Back

Substitute t = 2.4 into the function: h(2.4) = 300 - 16(2.4) = 261.6 feet.

Front

How do you solve the equation 12t - 15 = 3(2t + 3) for t?

Back

First, simplify the right side: 12t - 15 = 6t + 9. Then, isolate t: 12t - 6t = 9 + 15, which gives t = 4.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you find the intersection point of two linear equations?

Back

To find the intersection point, solve the system of equations simultaneously, either by substitution or elimination.

Front

What is the significance of the domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.