Algebra 1 Review

Front

What is the process of completing the square in a quadratic equation?

Back

Completing the square involves rewriting a quadratic equation in the form (x + p)² = q, where p and q are constants. This helps in solving the equation and understanding its graph.

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.

Front

How do you solve the equation 4(2x-5)=7(2x+4)?

Back

First, distribute: 8x - 20 = 14x + 28. Then, combine like terms to get -6x = 48, leading to x = -8.

Front

What does it mean to evaluate a function for a given value?

Back

Evaluating a function means substituting a specific value into the function's equation to find the output.

Front

What does the inequality x < -2 represent on a number line?

Back

It represents all numbers to the left of -2, not including -2 itself.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What is the quadratic formula used for?

Back

The quadratic formula, x = (-b ± √(b² - 4ac)) / (2a), is used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.