Honors Algebra 1- Spiral Review #8

Front

What is the DOMAIN of a graph?

Back

The domain of a graph is the set of all possible x-values (inputs) for which the function is defined.

Front

What does the notation -7 ≤ x < 5 represent?

Back

This notation indicates that x can take any value from -7 to 5, including -7 but not including 5.

Front

How do you find the product of two binomials (2x + 3)(2x - 3)?

Back

Use the distributive property (FOIL): (2x)(2x) + (2x)(-3) + (3)(2x) + (3)(-3) = 4x² - 9.

Front

What is the factored form of 3v² - 4v - 7?

Back

The factored form is (3v - 7)(v + 1).

Front

How do you factor the expression 6x² + 5x - 6 completely?

Back

The completely factored form is (3x - 2)(2x + 3).

Front

What is the solution to the system of equations 5x + 4y = -14 and y = -7x - 15?

Back

The solution is (-2, -1).

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as (a + b) or (x - 3).

Front

What is the difference between factoring and expanding in algebra?

Back

Factoring is breaking down an expression into simpler components, while expanding is multiplying out the components to form a single expression.

Front

What does it mean to solve an equation by substitution?

Back

Solving by substitution involves solving one equation for a variable and then substituting that expression into another equation.

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 ax² + bx + c = 0.