23/24 EHE L40 Yr 11 - Algebra Recap

Calculate the volume of the cylinder

Lesson 40 - Algebra recap

1. Angles around a point add up to? 2. Simplify 20ab/5a 3. 1.34 × 204. 1025. Round 0.004417 to 2 s.f.6. What is 0.75hrs in minutes?7. - 9 × - 8 + 5 8. What is 3% of £25?

Challenge

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Quizizz

a) Evaluate the expression 2x + 3y when x = 4 and y = 5. b)Find the value of y in the equation 3x - 2y = 10 when x = 2. c) Substitute x = 3 into 4x2 - 2x + 5 to find the value of the expression. d) Evaluate the expression 5a - 2b + c when a = 2, b = 3, and c = 7. e) Find the value of x in the equation 2x + 7 = 15. f) Substitute y = 4 into 3y2 - 2y + 6 to find the value of the expression. g) Evaluate the expression 3m - 2n + p when m = 5, n = 2, and p = 8. h) Find the value of y in the equation 4y + 6 = 26.

Substitution

a) Expand and simplify the expression 3(x + 2). b) Expand and simplify the expression 2(3x - 5). c) Expand and simplify the expression -5(2x + 4). d) Expand and simplify the expression -4(3x - 1). e) Expand and simplify the expression 2x(5x + 3). f) Expand and simplify the expression -6x(x - 4). g) Expand and simplify the expression -3y(2x + 5). h) Expand and simplify the expression x2(4x - 3)

Expanding brackets 1

a) Expand and simplify the expression (2x - 1)(x + 4)b) Expand and simplify the expression (3x + 2)(x - 3)c) Expand and simplify the expression (x - 2)(x + 5)d) Expand and simplify the expression (2x + 1)2e) Expand and simplify the expression (x + 2)2f) Expand and simplify the expression (3x - 2)(x + 3)g) Expand and simplify the expression (x + 4)2h) Expand and simplify the expression (2x - 3)(x + 2)

Expanding brackets 2

a) Factorise the expression 6x + 12. b) Factorise the expression 3x2 - 12x. c) Factorise the expression -4x + 8. d) Factorise the expression -2x - 6. e) Factorise the expression 5x - 20. f) Factorise the expression -8x + 16. g) Factorise the expression 9x2 - 36x. h) Factorise the expression ax - 3a

Factorising

a) Factorise the expression x2 - 5x + 6. b) Factorise the expression x2 - 4. c) Factorise the expression 2x2 + 7x + 3. d) Factorise the expression x2 + 6x + 9. e) Factorise the expression x2 - 9. f) Factorise the expression 3x2 - 12x + 9. g) Factorise the expression 2x2 + 11x + 15. h) Factorise the expression x2 - 16.

Factorising

a) Solve for x in the equation x + 5 = 12. b) Solve for y in the equation 2y - 3 = 7. c) Solve for x in the equation 2x - 3 = 9. d) Solve for y in the equation 3(y + 2) = 15. e) Solve for x in the equation 4x + 6 = 22. f) Solve for y in the equation 10 - 2y = 6. g) Solve for x in the equation 21 = 3(x + 1). h) Solve for y in the equation 4x = 8

Solving 1

a) Solve for x in the equation 2(x + 3) = 14. b) Solve for y in the equation 3(2y - 1) - 5 = 10. c) Solve for x in the equation 2(3x - 2) + 4 = 16. d) Solve for y in the equation 4y + 5 = 3y - 1e) Solve for x in the equation 3x + 2 = - 2x + 12f) Solve for y in the equation 2(y - 3) = 3(y + 1) g) Solve for x in the equation 4(x - 2) + 3 = 2(3x + 1) - 1. h) Solve for y in the equation 5(y + 2) + 3 = 2(y - 1) + 10.

Solving 2

Solve for x in the inequality 3x + 5 > 11Solve for y in the inequality 2y - 7 < 5Solve for x in the inequality 2x - 3 ≥ 9Solve for y in the inequality 4(y + 2) ≤ 16Solve for x in the inequality 5x - 3 < 2x + 9Solve for y in the inequality 3(y - 4) > 2(y + 1)Solve for x in the inequality 2x + 7 ≤ 3(x - 1) + 4. Solve for y in the inequality 4(y + 3) - 2 ≥ 2(y - 1) + 10.

Inequalities

Laws of indices 1

Laws of indices 2

a) Complete the sequence: 2, 5, 8, 11, __b) Complete the sequence: 10, 15, 20, 25, __c) Find the rule for the linear sequence: 3, 7, 11, 15, __d) Find the rule for the linear sequence: 12, 8, 4, 0, __e) Find the 10th term in the sequence: 4, 9, 14, 19, __f) Find the 15th term in the sequence: 6, 3, 0, -3, __g) Is -400 in the sequence: 8, 6, 4, 2, __ ?h) Is -31 in the sequence: 5, 1, -3, -7, __?

Sequences

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Algebra

Past paper questions

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing