2021- STAAR ALG 1 Released

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 set of values that satisfy all equations in the system.

Front

How do you represent the cost of black-and-white and color copies in an equation?

Back

Let b be the number of black-and-white copies and c be the number of color copies. The total cost can be represented as 0.08b + 0.15c = total cost.

Front

What does the equation b + c = 68 represent in the context of the print shop problem?

Back

This equation represents the total number of copies purchased, where b is the number of black-and-white copies and c is the number of color copies.

Front

How do you solve a quadratic equation like 2x² + 15 = -11x?

Back

Rearrange the equation to standard form (ax² + bx + c = 0) and then use factoring, completing the square, or the quadratic formula to find the solutions.

Front

What is the factored form of a quadratic expression?

Back

The factored form of a quadratic expression is expressed as (x - p)(x - q), where p and q are the roots of the equation.

Front

What is the solution to the equation 4(y - 3) + 19 = 8(2y + 3) + 7?

Back

The solution is y = -2.

Front

How do you factor the expression x² + 10x + 24?

Back

To factor, find two numbers that multiply to 24 and add to 10. The factored form is (x + 4)(x + 6).

Front

What is the purpose of solving a system of equations?

Back

The purpose is to find the values of the variables that satisfy all equations simultaneously.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

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.