Unit 1-Unit 14 Review

Front

What are the x-intercepts of a function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis, meaning the value of y is 0.

Front

How do you solve a system of equations?

Back

You can solve a system of equations using methods such as substitution, elimination, or graphing to find the values of the variables that satisfy both equations.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a - b)(a + b).

Front

How do you simplify the expression 2(3g-4)-(8g+3)?

Back

First, distribute: 6g - 8 - 8g - 3 = -2g - 11.

Front

What is a function?

Back

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

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

How do you find the x-intercepts of the equation y = 4x + 1?

Back

Set y to 0 and solve for x: 0 = 4x + 1, which gives x = -1/4.

Front

What is the process for factoring a quadratic expression?

Back

To factor a quadratic expression, look for two numbers that multiply to give the constant term and add to give the coefficient of the linear term.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.