Algebra Leap Review, Topic 3 and 4

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Which of the following is not a function? (2, 9), (−1, −5), (1, 5), (5, 0), (12, 3) or (−3, 1), (6, 2), (8, 3), (6, 4), (3, 5)?

Back

(−3, 1), (6, 2), (8, 3), (6, 4), (3, 5) is not a function because the x-value 6 is repeated.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function f(x) = 14x + 12?

Back

The slope is 14.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the value of y when x = 0, representing the starting point of the function on the y-axis.

Front

What is the explicit formula for the cost of T-shirts in a tie-dye kit?

Back

a_n = 15 + 4(n - 1), where n is the number of T-shirts.

Front

How do you find the solution to a system of equations?

Back

You can find the solution by graphing the equations and identifying the point of intersection, or by using substitution or elimination methods.

Front

What is the solution to the system of equations represented by (3, -1)?

Back

(3, -1) is the point where the two equations intersect.

Front

What does the inequality y < -x + 2 represent graphically?

Back

It represents the area below the line y = -x + 2 on a graph.

Front

What does the inequality y > 3 represent graphically?

Back

It represents the area above the horizontal line y = 3 on a graph.