Algebra Basics Review

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

Define a variable in algebra.

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation. For example, in the expression 2x + 3, 'x' is the variable.

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operations without an equality sign.

Front

What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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 each term in a sum or difference.

Front

How do you combine like terms?

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To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power. For example, 3x + 5x = 8x.

Front

What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. In 4x, 4 is the coefficient.

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What is a constant in algebra?

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A constant is a fixed value that does not change. For example, in the expression 2x + 3, the number 3 is a constant.

Front

What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = 0.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.