Algebra 1 Review

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you complete the square for the quadratic equation y = -16t² + 16t + 4?

Back

To complete the square, rewrite the equation as y = -16(t² - t) + 4. Then, take half of the coefficient of t, square it, and adjust the equation accordingly.

Front

What is the maximum height of the cap modeled by the function y = -16t² + 16t + 4?

Back

The maximum height is 8 feet.

Front

Simplify the expression: 6w - 6w + 6w + 9w.

Back

The simplified expression is 15w.

Front

What are the two equations used to set up the system for the Lawn and Garden Shop problem?

Back

The equations are 8.5L + 5.75S = 263 and L + S = 40.

Front

How do you solve the inequality 4 - 5x < 22 - 2x?

Back

Rearranging gives -5x + 2x < 22 - 4, leading to -3x < 18, thus x > -6.

Front

What is the difference between a bar chart and a histogram?

Back

A bar chart is based on categorical data, while a histogram is based on quantitative data.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the quadratic formula?

Back

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