MIDTERM Algebra 1 Exam

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Define slope in the context of a linear equation.

Back

The slope of a linear equation is a measure of the steepness of the line, represented by 'm' in the equation y = mx + b. It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.

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How do you solve a one-variable linear equation?

Back

To solve a one-variable linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

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What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, containing an equality sign.

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What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to reduce it to its simplest form.

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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 each term inside a set of parentheses.

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How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term, then express the quadratic as a product of two binomials.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax^2 + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a table, a graph, or an equation.