Algebra 1 BenchMark Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into its simplest components, such that it cannot be factored further.

Front

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

Back

A quadratic expression includes a variable raised to the second power (e.g., ax^2 + bx + c), while a linear expression is of the first degree (e.g., mx + b).

Front

What is the factored form of x^4 - 16?

Back

The factored form of x^4 - 16 is (x^2 + 4)(x + 2)(x - 2).

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.

Front

How do you determine if an expression is equivalent to another?

Back

To determine if an expression is equivalent, simplify both expressions and check if they yield the same result for all values of the variable.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables raised to non-negative integer powers and coefficients.

Front

What is the significance of the base fee in a cell phone plan?

Back

The base fee is the fixed amount charged for the plan, which typically includes a certain amount of service or data.

Front

How do you write an equation for a cell phone plan with overage charges?

Back

An equation for a cell phone plan with overage charges can be written as C = base fee + overage charge per unit (g - threshold), where g is the total usage.