Algebra Tiles Flashcards

Questions and Answers

What does it mean to simplify an expression?

To find all solutions to an equation.

To evaluate an expression.

To write a less complicated expression with the same value. (correct)

To substitute variables.

What is a solution in mathematics?

The number or numbers that make an equation or inequality true.

What does it mean to solve an equation?

To find all the solutions to an equation or an inequality.

Define a term in algebra.

A single number, variable, or the product of numbers and variables. Signup and view all the answers

What is the area in the context of this course?

The number of square units needed to fill up a region on a flat surface. Signup and view all the answers

What is an algebra tile?

A manipulative whose area represents a constant or variable quantity. Signup and view all the answers

One expression is greater than another if its value is smaller.

False Signup and view all the answers

What does it mean to evaluate an expression?

To substitute the value given for the variable and perform the operations. Signup and view all the answers

What is an equation?

A mathematical sentence stating that two expressions are equivalent. Signup and view all the answers

What is an expression comparison mat?

A mat that puts two expression mats side-by-side to compare their values. Signup and view all the answers

Two quantities are equal when they have different values.

False Signup and view all the answers

What is an equation mat?

An organizing tool used to visually represent two equal expressions. Signup and view all the answers

What does minus mean?

With the subtraction of. Signup and view all the answers

What does zero represent?

A number often used to represent having none of a quantity. Signup and view all the answers

What are opposites in mathematics?

Two numbers that are the same distance from zero but one is positive and the other is negative. Signup and view all the answers

What is the order of operations?

The specific order in which certain operations are to be carried out. Signup and view all the answers

What is a variable in mathematics?

A symbol used to represent one or more numbers. Signup and view all the answers

Define an expression.

A combination of individual terms separated by plus or minus signs. Signup and view all the answers

What is a negative number?

A number less than zero. Signup and view all the answers

What does combining like terms involve?

Simplifying an expression by summing constants and variable terms. Signup and view all the answers

Study Notes

Algebra Tile Vocabulary

Simplify: Process of reducing an expression to a less complex form while maintaining its value.
Solution: The value(s) that satisfy an equation or inequality, making it true when substituted.
Solve: The action of identifying all possible solutions for an equation, inequality, or system.
Term: A single numeric or variable component, or their product in an expression, usually separated by addition or subtraction.
Area: The measurement in square units required to cover a flat region; concept expands in later studies to three-dimensional shapes.
Algebra Tiles: Educational manipulatives used to visually represent variable and constant quantities.
Greater: A term indicating that one expression has a larger value than another.
Evaluate: The process of replacing a variable with a given value and performing operations according to established rules.
Equation: A statement asserting the equivalence of two mathematical expressions, presented with an equals sign.
Expression Mat: A tool for directly comparing two expressions side-by-side to evaluate which is larger.
Equal: The condition of two quantities being identical in value.
Equation Mat: A visual aid utilizing algebra tiles to depict two equal expressions.
Minus: Indicates the action of subtraction in a mathematical context.
Zero: Represents a lack of quantity; fundamental in mathematics.
Opposite: Two numbers having equal distance from zero on a number line but differing in sign (one positive, one negative).
Order of Operations: Guidelines dictating the sequence of operations for evaluating or simplifying mathematical expressions.
Variable: A symbol serving as a placeholder for one or more numbers within mathematical expressions.
Expression: A combination of terms that includes numbers, variables, and operations (addition or subtraction).
Negative: Refers to numbers that are less than zero, indicating a deficit quantity.
Combining Like Terms: The process of simplifying an expression by adding or summing coefficients of similar variable terms, leading to a more concise representation.

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Description

Test your understanding of key algebraic concepts with these flashcards. Each card features essential terms and their definitions, aiding your study of algebra. Perfect for anyone looking to strengthen their skills in simplifying expressions and solving equations.