IGCSE Quadratic Equations and Graphs

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

Fiona Davidson

Used 18+ times

FREE Resource

10 Slides • 40 Questions

IGCSE Quadratic Equations and Graphs

Solve Quadratics

Identify features of Quadratic Graphs from the equation

Multiple Choice

Factorise the expression:

x² + 5x + 6

(x + 3)(x + 2)

(x + 2)(x - 3)

(x + 5)(x + 1)

(x - 2)(x - 3)

Multiple Choice

Factorise the expression:

x² - 2x - 24

(x + 6)(x - 4)

(x - 6)(x + 4)

(x - 12)(x + 2)

(x - 6)(x - 4)

Multiple Choice

Factorise the expression:

x² - 7x + 12

(x + 3)(x + 4)

(x - 3)(x - 4)

(x - 3)(x + 4)

(x + 3)(x - 4)

Multiple Choice

Factorise the expression:

x² + 9x + 20

(x + 4)(x + 5)

(x - 4)(x - 5)

(x + 3)(x + 6)

(x - 3)(x - 6)

Multiple Choice

Factorise the expression:

x² + x - 6

(x + 3)(x - 2)

(x + 2)(x - 3)

(x + 6)(x - 1)

(x + 1)(x - 6)

Quadratics

Quadratic expressions take the general form

ax^2+bx+c

When this expression is set = 0
we can solve the equation in several different ways.

Open Ended

Name as many techniques as you can that can be used to solve quadratics

Type response here

Quadratics

$ax^2+bx+c=0$

can be solved by...

-Factorising

-Quadratic Formula

-Completing the Square

-Graphically

-Calculator

Multiple Choice

What are the solutions of this quadratic?

-2 and 3

-1/2 and -6

-2 and -6

3 and -6

Multiple Choice

What are the solutions of this quadratic?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

Multiple Choice

What are the solutions of this quadratic?

-1 and -3

1 and -3

1 and 3

-1 and 3

Multiple Choice

What should you do first in solving this equation?

x² + 6x - 13 = 3

Get factored form

Write down: a=1, b=6, c=-13

Make it equal 0 by subtracting 3 on each side

Type it all in a calculator.

Multiple Choice

In the equation

x² +5x +7 = 0

match each leading coefficient with its correct letter

a=0, b=5, c=7

a=1, b=5, c=7

a=7, b=5, c=1

Multiple Choice

Identify the 'c' value:

16x² -8x -24 = 0

-8

-24

Multiple Choice

Use the quadratic formula to find the solutions for

y = 3x³ + 8x - 1

0.1167 and -2.7833

0.7 and -16.7

0.35 and -8.35

0.2358 and -1.236

Multiple Choice

Complete the Square

x² + 16x + 64

(x+8)²

(x-8)²

(x-4)²

(x+4)²

Multiple Choice

Complete the Square

x² + 12x + 64

(x+6)²

(x+6)²+18

(x-3)²

(x+6)²-18

Multiple Choice

Complete the Square

x² + 8x + 6

(x+8)²

(x+4)²+6

(x+4)²-10

(x+4)²+10

Multiple Choice

Solve the equation by completing the square:

$x^2-2x-8=0$

$x=\left\{-12,6\right\}$

$x=\left\{-2,4\right\}$

$x=\left\{4\right\}$

$x=\left\{-4,\ 2\right\}$

Multiple Choice

3x²+9x-30=0

x= 2, -5

x= 5, -2

x= -5, -2

Multiple Choice

3x²-48=0

x= 4, 4

x= -4, -4

x= -4, 4

Multiple Choice

6x²-x-2=0

x= -2/3, 1/2

x= 2/3, -1/2

x= -2/3, -1/2

Quadratics

$y=ax^2+bx+c$

We can identify a lot about a Quadratic Graph from it's equation

- Curved shape - U if 'a' is positive

- Y-intercept - look at 'c'
- X-intercepts/roots - solve to find
-Turning point - complete the square

Multiple Choice

Is the value of 'a' positive or negative?

Positive

Negative

Multiple Choice

Is this Quadratic positive or negative?

Positive

Negative

Multiple Choice

Is this Quadratic positive or negative?

Positive

Negative

Multiple Choice

Is this Quadratic positive or negative?

Positive

Negative

Quadratics

$y=ax^2+bx+c$

We can identify a lot about a Quadratic Graph from it's equation

- Curved shape - U if 'a' is positive

- Y-intercept - look at 'c'
- X-intercepts/roots - solve to find
-Turning point - complete the square

Multiple Choice

What are the coordinates of the y-intercept of this quadratic?

y= x²+ x - 6

(-6, 0)

(0,-6)

(-2, 3)

(2, -3)

Multiple Choice

What are the coordinates of the y-intercept of this quadratic?

y = x² -12x + 36

(0,36)

(0,-36)

(0,-12)

(0,12)

Multiple Choice

What are the coordinates of the y-intercept of this quadratic?

Y = -3x² +7x - 2

(0,-3)

(0, 7)

(0,-2)

(0, 3)

Multiple Choice

What are the coordinates of the y-intercept of this quadratic?

y = x² - 6x + 11?

(0,11)

(0,-6)

(0,-11)

(0,6)

Multiple Choice

What are the coordinates of the y-intercept of this quadratic?

y = (x+3)(x-5)?

(0,3)

(0,-5)

(0,-15)

(0,-2)

Multiple Choice

What are the coordinates of the y-intercept of this quadratic?

y = (x-9)(x-6)?

(0,-15)

(0,-9)

(0,6)

(0,54)

Quadratics

$y=ax^2+bx+c$

We can identify a lot about a Quadratic Graph from it's equation

- Curved shape - U if 'a' is positive

- Y-intercept - look at 'c'
- X-intercepts/roots - solve to find
-Turning point - complete the square

Multiple Choice

What are the roots of this quadratic

y= (x - 2)(x + 3)?

x = - 2 or x = 3

x = 2 or x = -3

The are no real roots

x = 2 or x = 3

Multiple Choice

What are the roots of this quadratic

y = x² + 16x + 63 ?

x=7, x=4

x=-7, x=9

x=3, x=10

x=-7, x=-9

Multiple Choice

What are the roots of this quadratic

y= x²+7x+10 ?

x=-2, x=-5

x=2, x=5

x=-10, x=-4

x=-2, x=5

Multiple Choice

What are the roots of this quadratic

y= x² -2x - 24 ?

x=-4, x=6

x=-4, x=-6

x=-6, x=1

x=4, x=-6

Quadratics

$y=ax^2+bx+c$

We can identify a lot about a Quadratic Graph from it's equation

- Curved shape - U if 'a' is positive

- Y-intercept - look at 'c'
- X-intercepts/roots - solve to find
-Turning point - complete the square

Multiple Choice

What is the coordinate of the turning point of this quadratic $y=\left(x+3\right)^2-2$ ?

(-3, -2)

(3, -2)

(-3, 2)

(3, 2)

Multiple Choice

What is the coordinate of the turning point of this quadratic $y=\left(x-3\right)^2-2$ ?

(-3, -2)

(3, -2)

(-3, 2)

(3, 2)

Multiple Choice

What is the coordinate of the turning point of this quadratic $y=\left(x-5\right)^2+8$ ?

(-5, 8)

(-5, -8)

(5, 8)

(5, -8)

Multiple Choice

What is the coordinate of the turning point of this quadratic $y=x^2+8x+10$ ?

(8, 10)

(-8, 10)

(-4, -6)

(4, -6)

Multiple Choice

What is the coordinate of the turning point of this quadratic $y=x^2+12x+6$ ?

(-6, -30)

(12, 6)

(6, -30)

(-12, 6)

Multiple Choice

What is the coordinate of the turning point of this quadratic $y=x^2-10x+6$ ?

(-10, 6)

(5, -19)

(-5, -19)

(10, 6)

Mathswatch

Well Done completing the Quizizz!

Try working through the quiz again if you want to improve your score!

Then head over to Mathswatch to practice MORE Quadratic graphs or Simultaneous Equations (you will find these in the My Progress section)

IGCSE Quadratic Equations and Graphs

Solve Quadratics

Identify features of Quadratic Graphs from the equation

Show answer

Auto Play

Slide 1 / 50

SLIDE

Similar Resources on Wayground

45 questions

Inscribed Angle

Presentation

•

10th Grade

42 questions

TSIA 2.0 Math Practice Test #1w/Explanations 2023

Presentation

•

9th Grade

45 questions

Real Numbers and Operations With Integers

Presentation

•

9th - 10th Grade

46 questions

Fractional and Negative Indices

Presentation

•

10th Grade

44 questions

Razones trigonométricas de ángulos agudos

Presentation

•

10th Grade

45 questions

Slopes with Notes

Presentation

•

10th Grade

45 questions

Slope

Presentation

•

10th Grade

46 questions

Lesson on Factoring Quadratic Equations

Presentation

•

10th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade