Algebra 1 Keystone Module 1 Test 1

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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.

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Define a variable in algebra.

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A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is the variable.

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What is the difference between an equation and an expression?

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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.

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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.

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What is the distributive property?

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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.

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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.

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, 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.

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What is the purpose of using parentheses in algebra?

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Parentheses are used to indicate which operations should be performed first in an expression. For example, in (2 + 3) × 4, you perform the addition before the multiplication.

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What is a linear equation?

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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.