Foundations of Math 1 Review

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations true simultaneously.

Front

How do you find the slope of a linear function?

Back

The slope of a linear function is found by taking the difference in the y-values divided by the difference in the x-values between two points on the line.

Front

What does it mean for a graph to have a greater slope?

Back

A graph with a greater slope rises more steeply than another graph, indicating a larger rate of change.

Front

Evaluate the function f(x) = 2x + 1 for x = 6.

Back

f(6) = 2(6) + 1 = 13.

Front

What is a linear function?

Back

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

Front

What is the y-intercept of the function g(x) = 4x + 5?

Back

The y-intercept is 5, which is the value of g(0).

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all inequalities, it is a solution.

Front

What is the difference between a solution to an equation and a solution to an inequality?

Back

A solution to an equation is a specific point that satisfies the equation, while a solution to an inequality is a range of values that satisfy the inequality.

Front

What does it mean for a slope to be undefined?

Back

An undefined slope occurs in a vertical line where the change in x is zero, making the slope calculation impossible.

Front

How can you graph a linear function?

Back

To graph a linear function, plot the y-intercept and use the slope to find another point, then draw a line through the points.