Convert the binary number $$101000111_2$$ to base 8.

The base 8 equivalent is $$507_8$$ .

Factorise the expression $$2x^2 - 8x$$ completely.

The factorised form is $$2x(x - 4)$$ .

Simplify the expression $$4(x + 2) - (2 - 3x)^2$$ .

The simplified form is $$-9x^2 + 16x + 4$$ .

What is a quadratic equation?

A quadratic equation is a polynomial equation of the form $$ax^2 + bx + c = 0$$ , where $$a, b, c$$ are constants and @@a eq 0@@.

What does it mean to simplify an expression?

To simplify an expression means to reduce it to its simplest form, making it easier to understand or solve.

What is the significance of the roots of a quadratic equation?

The roots of a quadratic equation are the values of $$x$$ that make the equation equal to zero, representing the x-intercepts of the graph.

How do you convert a number from base 2 to base 8?

Group the binary digits in sets of three (from right to left) and convert each group to its octal equivalent.

What is the formula for the difference of squares?

The difference of squares formula is $$a^2 - b^2 = (a - b)(a + b)$$ .

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ .

What is the meaning of 'completely factorised'?

An expression is completely factorised when it is expressed as a product of irreducible factors.

What is the role of coefficients in a polynomial?

Coefficients are the numerical factors that multiply the variables in a polynomial, determining the shape and position of its graph.

Flashcard Chapter 1 and 2 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a binary number?

Back

A binary number is a number expressed in the base-2 numeral system, using only the digits 0 and 1.

7.

FLASHCARD QUESTION

Front

What is the process of factorization in algebra?

Back

Factorization is the process of breaking down an expression into a product of simpler factors.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

What is the Limit?

Flashcard

•

11th Grade

10 questions

Strategies to Avoid Communication Breakdown

Flashcard

•

11th - 12th Grade

6 questions

Unit 3.8 Market Structure

Flashcard

•

11th Grade

12 questions

DNA Replication and Protein Synthesis

Flashcard

•

9th - 12th Grade

10 questions

1.7 The Late Middle Ages: A Time of Upheaval Flashcard

Flashcard

•

10th Grade

10 questions

Circulatory System Flashcard

Flashcard

•

10th Grade

14 questions

History of Periodic Table of Elements

Flashcard

•

8th - 11th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

18 questions

SAT Prep: Ratios, Proportions, & Percents

Quiz

•

9th - 10th Grade

12 questions

Parallel Lines Cut by a Transversal

Quiz

•

10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade

15 questions

Intro to Trig Ratios

Quiz

•

10th Grade

10 questions

Solving One Step Equations: Key Concepts and Techniques

Interactive video

•

6th - 10th Grade

12 questions

Triangle Inequality Theorem

Quiz

•

10th Grade