11th Class Algebra Quiz
15 Questions
0 Views

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

What is the simplest form of the expression $5 rac{1}{2} + 3 rac{3}{4}$?

  • 9
  • 9.25 (correct)
  • 10
  • 8.5

Which radical equation will have $x = 5$ as the solution?

  • $ rac{x^2}{3} = 5$
  • $ rac{3x - 5}{2} = 0$ (correct)
  • $ rac{x - 3}{x - 5} = 1$
  • $ rac{x}{2} = 2$

What is the result after simplifying $8 rac{1}{3} + 2 rac{2}{3} - 5$?

  • 7
  • 5
  • $ rac{1}{3}$
  • 6 (correct)

Which of the following represents the product of $(3 + rac{1}{2})(3 - rac{1}{2})$?

<p>9 (A)</p> Signup and view all the answers

What is the simplest form of $ rac{8 rac{1}{4}}{2 rac{1}{2}}$?

<p>4 (C)</p> Signup and view all the answers

What is the constant of variation if $y$ varies directly as $x$ and $y = 72$ when $x = 2$?

<p>144 (B)</p> Signup and view all the answers

How many men are required to complete a job in 10 days if 6 men can finish it in 15 days?

<p>12 (C)</p> Signup and view all the answers

What amount will Rhianna save in 8 years if she deposits Php 5,000 every 3 months?

<p>Php 320,000 (D)</p> Signup and view all the answers

Which describes the relationship between the number of hours required to complete a job and the number of men working?

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

If $m$ varies jointly as $n^3$ and inversely as $p$, what is $m$ when $n = 1$ and $p = 4$ given that $m = 80$ when $n = 2$ and $p = 4$?

<p>40 (B)</p> Signup and view all the answers

Which table illustrates a scenario of direct variation?

<p>Table B (C)</p> Signup and view all the answers

What type of variation is represented by the statement: 'The pressure P of a gas varies directly as its temperature t and inversely as its volume V'?

<p>Combined Variation (B)</p> Signup and view all the answers

What mathematical expression represents the exponential notation for $15^{3/2}$?

<p>$15^{1.5}$ (D)</p> Signup and view all the answers

What is the simplified form of $2^{-4} imes 2^{7} imes 2^{2}$?

<p>$2^5$ (C)</p> Signup and view all the answers

What is the value of the expression $(5^2)^{2/2}$?

<p>25 (D)</p> Signup and view all the answers

Flashcards

Direct Variation Equation

A relationship between two variables where their ratio is constant.

Constant of Variation

The constant ratio in a direct variation equation.

Inverse Variation

A relationship where one variable increases as the other decreases, and their product is constant.

Joint Variation

A relationship where a variable depends on the product of two or more other variables.

Signup and view all the flashcards

Combined Variation

A type of variation involving both direct and inverse variations.

Signup and view all the flashcards

Direct Variation Table Example

A table exhibiting direct variation where y values are always a constant multiple of x values.

Signup and view all the flashcards

Inverse Variation Equation

A relationship where the product of two variables is constant.

Signup and view all the flashcards

Solving Direct Variation Problem

Finding a missing value in a direct variation problem given known values and the constant of variation.

Signup and view all the flashcards

Determining if a table displays direct variation

Check if the ratio of y to x stays constant across all data points.

Signup and view all the flashcards

Finding the constant of variation (k)

Find the constant ratio, k = y / x if y varies directly with x

Signup and view all the flashcards

Simplify radical expressions

Rewrite expressions involving square roots in their simplest form.

Signup and view all the flashcards

Solve radical equations

Find the value of the variable that satisfies an equation containing a radical.

Signup and view all the flashcards

Evaluate expressions involving square roots

Calculate the numerical value of an expression that includes square roots and radicals.

Signup and view all the flashcards

Multiplying binomials with radicals

Expand and simplify expressions that are multiplied binomials and contain radicals.

Signup and view all the flashcards

Simplifying exponents

Reduce exponents in a single expression.

Signup and view all the flashcards

Use Quizgecko on...
Browser
Browser