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# Intro Algebra vocab

### Early vocabulary for introductory algebra

What is the numerical coefficient (or 'coefficient') of a term? The numerical factor of a term
What are like terms? terms that have exactly the same variable part
What is a linear equation in one variable? An equation that can be written in the form ax+b=c, where a, b, and c are real numbers and a does not equal 0.
What property is illustrated by the following example: If a=b , then ac=bc? Multiplication property of equality.
What property is illustrated by the following example: 4(7+x) = 28 + 4x ? Distributive property
What property is illustrated by the following example: 4x + 3 + x + 2 = 4x + x + 3 + 2 ? Commutative property of addition
What property is illustrated by the following example: (8+7)+3 = 8+(7+3) ? Associative property of addition
In the following list, which terms are like terms: 4x, 4y, 3x, 4, -2x ? 4x, 3x, and -2x
Define equivalent equations. Equations that have the same solution.
What is a formula? An equation that describes a known relationship among quantities.
Define absolute value. The distance between that number and 0 on the number line.
A symbol used to represent a number is called ____. a variable
Two numbers whose product is 1 are called ____. reciprocals
The number in a fraction below the fraction bar is called the _____. denominator
The number in a fraction above the fraction bar is called the _____. numerator
Parentheses, brackets, and fraction bars are examples of _____ . grouping symbols
The value for a variable that makes an equation true is called the _____ . solution
Two numbers that are the same distance from zero but lie on opposite sides of 0 are called ____ . opposites
What is the sum of 8 and 2 ? 10
What is the difference of 8 and 2 ? 6
What is the product of 8 and 2 ? 16
What is the quotient of 8 and 2 ? 4
This symbol < means ______. Less than
This symbol > means ______ . Greater than
What does it mean to solve an equation? To find the value for the variable that will make the equation true.
By what property do we know that x = 1/2 and 5x = 5(1/2) are equivalent equations? Multiplication property of equality
By what property do we know that x = 5 and 3+x = 3+5 are equivalent equations? Addition property of equality
Created by: btimmer