Y10 Algebra

Y10 Algebra

Miss Hancock

Starter- Mixed Algbera questions

Please do some working out in your book if you need to, and take your take answering the questions

Multiple Choice

Expand m(7m - 2)

• 7m - 2m
• 7m² - 2m
• 7m - 2
• 7m² - 2

Multiple Choice

5a² - 3a²

• 8a²
• 2a²
• 2a⁴
• 8a⁴

Multiple Choice

Expand & Simplify: 2(3x + 5) - 4(4x - 5)

• 6x + 10 - 16x + 20

• -22x + 30

• -10x + 30

• 22x + 30

Multiple Choice

Expand & Simplify: 2(3x + 5) - 4(4x - 5)

• 6x + 10 - 16x + 20

• -22x + 30

• -10x + 30

• 22x + 30

Multiple Choice

(x+8)(x-8)

• x²-64
• x²-8x-64
• x²-8x+64
• x²+64

Multiple Choice

(x+9)(x-9)

• x²-18x-81
• x²-81
• x²+81
• x²+18x-81

Multiple Choice

(3x+2)(2x +3)

• 6x² + 6x + 6
• 5x² + 11x + 6
• 6x² + 13x + 6
• 6x² + 13x + 5

Multiple Choice

Expand (x + 5)(x + 4)

• x² + 9x + 20
• x² + 20x + 20
• 5x² + 20
• x² + 6x + 9

Multiple Choice

5a² - 3a²

• 8a²

• 2a²

• 2a⁴

• 8a⁴

THIS LESSON

Expanding triple brackets.

For example, Expand (x-3)(x-2)(2x-1)

It is the same process of expanding double brackets, and then muliplying your answer by the third bracket.

Please watch the video on the next slide.

Miss Hancocks tips! Write this example down...

Time to try some questions

YOU CANNOT DO THESE IN YOUR HEAD!

I can see how long you spent per question, do not guess, write it down and work it out in your book.

Multiple Choice

(x - 5)(x + 3)(x + 2)

• x³ - 5x² + 11x - 30

• x³ + 6x² + 30

• x³ +-19x - 30

• x³ + 6x² - 30

Multiple Choice

(x + 1)(x + 2)(x + 3)

• x³ + 6x² + 11x + 6

• x³ + 9x² + 10x + 6

• x³ + 3x² + 7x + 6

• x³ + 10x² + 4x + 9

Multiple Choice

Expand and simplify (this should take at least 3 minutes)

• 2x³+11x²+17x+6

• 2x³+10x²+13x+6

• 2x³+10x²+13x+7

• x³+11x²+13x+6

Multiple Select

Expand and simplify

• 5x³-23x²+25x+5

• 5x³-23x²+25x+5

• 6x³-23x²+25x-6

LESSON 2

On the picture it shows solving a LINEAR equation.

Today we are going to revise solving a QUADRATIC equation- where there is an x²

Poll

Do you remember how to solve this by factorising?

• Yes, I think I do. I am going to try the question in my book now and check it on the next slide

• No I don't remember, or I have not done this before. I am going to write down this question and look how to do it on the next slide.

Poll

Did the example look familar now?

• YES! I remember what to do now I can move straight on to answering some questions

• No, I am still not sure. I am going to watch the video on the next slide and write examples in my book.

Multiple Choice

Solve the following quadratic equation...

x² + 13x + 36= 0

• x = -2

  x = -18

• x = -9

  x = -4

• x = -3

  x = -12

• x = -6

  x = -6

Multiple Choice

Solve the equation by factorising.
x² + 13x + 40 = 0

• -8, 5
• -40, -1
• 5, 8
• -8, -5

Multiple Choice

Solve the following quadratic...

x² - 9x + 8 = 0

• x = 1, 8

• x = -1, -8

• x = -2, -4

• x = 2, 4

Multiple Choice

Solve the following quadratic...

x² + 5x - 24 = 0

• x = 3, 8

• x = -3, -8

• x = -3, 8

• x = 3, -8

Multiple Choice

Solve the following quadratic...

x² + x - 20 = 0

• x = -4, 5

• x = 4, -5

• x = 4, 5

• x = -4, -5

Multiple Choice

Solve the following quadratic...

x² + 11x + 24 = 0

• x = -3, -8

• x = 2, 12

• x = -4, -6

• x = -2, -12

Multiple Choice

Solve the following quadratic...

x² + 5x + 6 = 0

• x = -2, -3

• x = 1, 6

• x = -1, -6

• x = 2, 3

Multiple Choice

Solve the following quadratic...

x² + 5x + 6 = 0

• x = -2, -3

• x = 1, 6

• x = -1, -6

• x = 2, 3

Another method..

We can also solve quadratic equations using the formula in the red box (which is given to you in the exam).

This method involves you typing the sum into your calculator twice to find the two solutions.

If this is new or you would like a reminder, please look at my example of the next slide.

Multiple Choice

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

Solve using the Quadratic Formula

4v² - 1v - 18 = 0

• v = 2.25, -2

• v = -2.25, 2

• v = 2.24, -1.99

• v = -2.24, 1.99

Multiple Choice

2x²-x -3=0

• x=-3/2  x=1
• x= 3/2 x= -1
• x= -3/2 x= -1
• x= 3/2 x= 1

Multiple Choice

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

Solve using the Quadratic Formula (HINT YOU HAVE TO REARRANGE IT FIRST SO IT =0)

6p² = 2p + 60

• p = 3.33, -2

• p = -3.33, 2

• p = -5.98, 6.65

• p = 5.98, -6.65

Time to practice everything we have learnt/revised today.

I have created a mixture of questions on dr frost for you to practice please do that now.