Algebra problems

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

Which of the following statements correctly describes the relationship between variables and constants in algebraic expressions?

  • Variables and constants both represent fixed values, but constants are always integers.
  • Variables represent unknown or changing quantities, while constants represent fixed values. (correct)
  • Variables represent fixed values, while constants represent unknown or changing quantities.
  • Variables and constants both represent unknown or changing quantities, but variables are always letters.

Simplify the following expression: $5x + 3y - 2x + y - x$.

  • $2x + 4y$ (correct)
  • $2x + 3y$
  • $3x + 3y$
  • $4x + 4y$

Solve the following linear equation for $x$: $3(x + 2) = 5x - 4$.

  • $x = 3$
  • $x = 1$
  • $x = 2$
  • $x = 5$ (correct)

What is the solution set for the quadratic equation $x^2 - 5x + 6 = 0$?

<p>{2, 3} (B)</p> Signup and view all the answers

Consider the system of equations:

$y = 3x - 2$

$x + 2y = 8$

What is the solution for $x$ and $y$?

<p>$x = 2, y = 4$ (A)</p> Signup and view all the answers

Solve the inequality: $4x - 3 < 9$.

<p>$x &lt; 3$ (B)</p> Signup and view all the answers

Given the function $f(x) = 2x^2 - 3x + 1$, what is the value of $f(2)$?

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

What is the slope of the linear function $f(x) = -3x + 5$?

<p>-3 (A)</p> Signup and view all the answers

Simplify the expression: $(x^3 * y^2)^4$

<p>$x^{12} * y^8$ (B)</p> Signup and view all the answers

Simplify the radical expression: $\sqrt{72}$

<p>$6\sqrt{2}$ (A)</p> Signup and view all the answers

Flashcards

Algebra

A branch of mathematics using statements to describe relationships between quantities.

Variables

Symbols representing unknown or changeable values in expressions or equations.

Constants

Fixed numbers that do not change their value in an expression or equation.

Expressions

A combination of variables, constants, and math operations without an equals sign.

Signup and view all the flashcards

Equations

A statement showing the equality between two expressions, using an equals sign.

Signup and view all the flashcards

Terms

Individual parts of an expression or equation, separated by + or - signs.

Signup and view all the flashcards

Coefficients

The numerical factor of a term that contains a variable.

Signup and view all the flashcards

Operators

Symbols indicating math operations, like +, -, ×, ÷, or ^.

Signup and view all the flashcards

Like Terms

Terms with the same variable(s) raised to the same power(s).

Signup and view all the flashcards

Inverse Operations

Operations that reverse the effect of another operation.

Signup and view all the flashcards

Study Notes

The provided text is identical to the existing notes, so no changes are necessary.

Studying That Suits You

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

Quiz Team
Use Quizgecko on...
Browser
Browser