7th I-Ready Expressions and Equations

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is a variable?

A letter that represents a number; it is a placeholder for a number.

What is a numerical expression?

A mathematical phrase involving only numbers and one or more operational symbols.

Define an algebraic expression.

A mathematical phrase combining numbers and/or variables that does not contain an equal sign but may include other operators and grouping symbols.

What are equivalent expressions?

Expressions that simplify to an equal value when numbers are substituted for the variables. Signup and view all the answers

What is a term in mathematics?

A single number or variable separated by a + or - sign in an expression; the parts of an expression. Signup and view all the answers

What is a coefficient?

The number that is multiplied to the variable. Signup and view all the answers

Define a constant.

A value that does not change; a number on its own. Signup and view all the answers

What is an equation?

A statement that two mathematical expressions are equal. Signup and view all the answers

What is the commutative property of addition and multiplication?

Numbers can be added or multiplied in any order. Signup and view all the answers

Explain the associative property of addition and multiplication.

Numbers can be regrouped when adding or multiplying, and you'll still get the same answer. Signup and view all the answers

What is the distributive property?

Multiplying a number by a group of numbers added together is the same as doing each multiplication separately. Signup and view all the answers

Define multiplicative inverse.

The reciprocal of a number; any number multiplied by its reciprocal is 1. Signup and view all the answers

What is a rational number?

A number that can be expressed as a fraction, a terminating decimal, or a repeating decimal. Signup and view all the answers

What is the order of operations?

The order in which mathematical operations should be done. Signup and view all the answers

What does it mean to combine like terms?

A mathematical process used to simplify an expression by putting together the constants or other terms that have the same variable and exponent. Signup and view all the answers

Define an inequality.

A mathematical sentence built from expressions using one or more of the symbols <, ≤, >, or ≥. Signup and view all the answers

Study Notes

Variable and Expressions

A variable is a letter that stands for a number, acting as a placeholder.
Numerical expression consists of numbers and operational symbols only, such as addition or multiplication.
An algebraic expression combines numbers and variables without an equal sign, utilizing operators and grouping symbols.

Equations and Properties

Equivalent expressions yield the same value when variables are substituted with numbers.
A term is a singular unit within an expression, which can be a number or variable, separated by "+" or "-" signs.
The coefficient multiplies the variable in an expression, indicating its scale.
A constant is a fixed value that does not change, presented as an individual number.
An equation asserts that two mathematical expressions are identical.

Mathematical Properties

The Commutative Property of Addition and Multiplication states that numbers can be added or multiplied in any order without affecting the outcome.
The Associative Property of Addition and Multiplication allows regrouping of numbers during addition or multiplication without changing the result, illustrated by: 1 + (2 + 3) = (1 + 2) + 3.
The Distributive Property entails that multiplying a number by a sum is equivalent to multiplying that number with each addend separately (e.g., 3(x + 6) = 3x + 18).

Number Types and Operations

The multiplicative inverse of a number is its reciprocal; their product equals 1.
A rational number can be expressed as a fraction or a decimal that either terminates or repeats.
The order of operations dictates the sequence in which mathematical operations are conducted to ensure consistent results.
Combining like terms refers to the simplification of expressions by merging constants or similar terms sharing the same variable and exponent.

Inequalities

An inequality is a mathematical sentence that uses symbols like ≤ or ≥ to show the relationship between expressions.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your knowledge on key concepts from 7th grade I-Ready relating to expressions and equations. This quiz covers important terms such as variables and expressions, helping you solidify your understanding of algebraic concepts. Perfect for students looking to review foundational algebra skills.