Algebra 1 Review for Final SPRING 2024

Front

What is the quadratic formula?

Back

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

Front

What are the two equations used to solve the ticket sales problem?

Back

S + A = 530 (where S is the number of student tickets and A is the number of adult tickets) and 3S + 4A = 1740 (total revenue from ticket sales).

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you solve the equation 10(h+1) - 4 = 76?

Back

First, simplify: 10h + 10 - 4 = 76. Then, 10h + 6 = 76. Subtract 6 from both sides: 10h = 70. Finally, divide by 10: h = 7.

Front

What is the product of powers property in exponents?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the simplified form of 2^3 * 2^4?

Back

Using the product of powers property, 2^3 * 2^4 = 2^(3+4) = 2^7.

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero: if ab = 0, then a = 0 or b = 0.

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, and A should be non-negative.

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 difference between a function and a relation?

Back

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