Algebra: Equations and Expressions

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which of the following expressions represents a polynomial of degree 3?

  • $2^x + x - 3$
  • $\frac{1}{x^3} + 2x - 4$
  • $5x^3 - x^2 + 7$ (correct)
  • $4x^2 + 2x - 1$

What is the simplified form of the expression $\frac{x^2 - 4}{x + 2}$?

  • $\frac{x - 2}{x + 2}$
  • $x^2 - 2$
  • $x + 2$
  • $x - 2$ (correct)

If $f(x) = 3x - 5$, what is the value of $f(3)$?

  • 4 (correct)
  • 9
  • 3
  • -5

Solve the following system of equations:

$x + y = 5$

$x - y = 1$

<p>$x = 3, y = 2$ (B)</p> Signup and view all the answers

What value of $x$ satisfies the equation $3(x + 2) = 5x - 8$?

<p>7 (D)</p> Signup and view all the answers

Which of the following is equivalent to $x^{\frac{3}{4}}$?

<p>$\sqrt[4]{x^3}$ (D)</p> Signup and view all the answers

Solve for $x$: $|2x - 1| = 5$

<p>x = 3 or x = -2 (C)</p> Signup and view all the answers

What is the domain of the function $f(x) = \frac{1}{x - 2}$?

<p>All real numbers except x = 2 (B)</p> Signup and view all the answers

Simplify the expression: $(2x^2y)^3(3xy^2)$

<p>$24x^7y^5$ (D)</p> Signup and view all the answers

What are the solutions to the quadratic equation $x^2 - 5x + 6 = 0$?

<p>x = 2 and x = 3 (C)</p> Signup and view all the answers

Flashcards

Variable

A symbol, usually a letter, representing an unknown value.

Constant

A fixed value that does not change.

Expression

A combination of variables, constants, and mathematical operations.

Equation

A statement that two expressions are equal, connected by an equals sign (=).

Signup and view all the flashcards

Coefficient

A number multiplied by a variable.

Signup and view all the flashcards

Term

A single number or variable, or numbers and variables multiplied together.

Signup and view all the flashcards

Order of Operations

PEMDAS/BODMAS dictates the order in which operations must be performed in an expression.

Signup and view all the flashcards

Combining Like Terms

Terms with the same variable raised to the same power can be combined.

Signup and view all the flashcards

Distributive Property

a(b + c) = ab + ac . Multiply 'a' across the terms inside.

Signup and view all the flashcards

Solving Equations

The goal is to isolate the variable on one side of the equation to find its value.

Signup and view all the flashcards

Study Notes

The provided text is identical to the existing notes, therefore no changes are needed.

Studying That Suits You

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

Quiz Team

More Like This

Use Quizgecko on...
Browser
Browser