Algebra Basics Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What is a binomial in algebra?

  • An expression with one term.
  • An expression with two terms. (correct)
  • An expression that cannot be simplified.
  • An expression with three terms.

What does it mean to expand an algebraic expression?

  • To factor the expression into simpler components.
  • To multiply out brackets and write the expression without brackets. (correct)
  • To isolate the variable on one side of the equation.
  • To combine like terms into a single expression.

Which of the following describes a monomial?

  • An algebraic expression with one term. (correct)
  • An equation containing at least one variable.
  • An expression with two or more terms.
  • An expression that cannot be factored.

In algebra, what is the purpose of factoring an expression?

<p>To express the expression as a product of its factors. (D)</p> Signup and view all the answers

What is meant by isolating a variable in an equation?

<p>To get the variable by itself on one side of the equation. (D)</p> Signup and view all the answers

What is the simplified form of the expression 5$x$ + 4$x$ - 2?

<p>9$x$ - 2 (B)</p> Signup and view all the answers

What is the result of expanding 5(2$x$ - 3)?

<p>10$x$ - 15 (A)</p> Signup and view all the answers

What value of $x$ satisfies the equation 4$x$ + 7 = 9?

<p>1 (A)</p> Signup and view all the answers

In the expression 5$x$ - 3, what type of expression is it classified as?

<p>Binomial (A)</p> Signup and view all the answers

If $x$ is 3, what is the value of 6$x$ + 12?

<p>36 (D)</p> Signup and view all the answers

Flashcards

Binomial

An algebraic expression with two terms.

Expand

Multiply out brackets to remove them.

Factor

Write an expression as a product.

Simplify 3x + 4 + 2x + 5

Combine like terms (x terms and constants) to get 5x + 9

Signup and view all the flashcards

3(x + 2) expanded

3x + 6

Signup and view all the flashcards

Equivalent Expressions

Expressions that have the same value for any value of the variable. They look different, but simplify to the same thing.

Signup and view all the flashcards

Solve for a Variable

Find the value of the variable that makes the equation true. Isolate the variable on one side of the equation.

Signup and view all the flashcards

Inverse Operations

Operations that undo each other. Addition and subtraction are inverses, as are multiplication and division.

Signup and view all the flashcards

Translate Words to Equations

Represent a word problem with a mathematical equation.

Signup and view all the flashcards

What is 5x - 3?

This is a binomial because it has two terms separated by a subtraction sign. A term is a constant, a variable, or a product of constants and variables.

Signup and view all the flashcards

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser