Algebra 1 EOC Review

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors. For example, x² + 5x + 6 can be factored into (x + 2)(x + 3).

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to maintain equality.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero. It is the x-intercept of the graph.

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How do you identify errors in algebraic manipulation?

Back

To identify errors, check each step of the manipulation for correct application of algebraic rules, such as combining like terms and applying inverse operations.

Front

What is the first step in solving the equation 5(2x - 1) + 7 = 4x + 11?

Back

Use the distributive property to get rid of the parentheses: 10x - 5 + 7 = 4x + 11.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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What is the solution to the equation 19 - 2k = 3k - 1?

Back

The correct solution involves isolating k: 19 + 1 = 3k + 2k, leading to k = -3.

Front

What is the significance of the constant term in a polynomial?

Back

The constant term is the value of the polynomial when all variable terms are set to zero. It affects the y-intercept of the graph.

Front

How do you check if a solution is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.