Daily Practice 7.10.2015 Q1. Multiply out and simplify 7(x - 3) + 2(x + 1) Q2. Simplify the ratio 14:21 Q3. Find 17% of 5000 Today we will be learning to solve equations. Homework Due tomorrow. Q4. Given a = -3 and b = 4, what is the value of 2a + 4b? Q5. Equations An equation is an algebraic expression with an equals sign in it. To solve an equation, we must treat each side of the equals like a balance. What you do to one side, you must do to the other. Equations Examples: Solve the following (a) x + 15 = 34 (b) 4g = 24 (c) 7 - x = -4 Always think opposite operations!! Equations Solve the following: (i) x + 4 = 11 (ii) x - 5 = 16 (viii) 0.5x = 6 (ix) x - 5 = 98 Daily Practice 8.10.2015 Q1. State the mean, median, mode and range of the following 2, -2, 3, 4, 6, 7, 2, 10, Q2. Multiply out and simplify 7(x - 4) + 2(3x + 3) (iii) 2x = 8 (iv) 3x = -48 (x) 2x + x = 18 (xi) 3x - 2x + 4 = 22 Q3. State the size of the angle a 0 a 0 33 0 (v) 7 - x = -2 (xii) -2= x + 7 Q4. Given a = -3 and b = 4, what is the value of 4a 2 b? (vi) 14 + x = 37 (xiii) 36 = 6x (vii) 2x = -14 (xiv) x 2 = 49
Today we will be continuing to learn how to solve equations. Homework Due Today. Equations Equations Examples: Solve the following: (d) 2x + 3 = 13 (e) 3h - 9 = 3 (f) - 2x + 4 = -10 (i) 2x + 4 = 20 (ii) 7x - 5 = 30 (viii) 3k - 7 = 20 (ix) 4x - 5 = -9 (iii) 12x + 4 = 100 (x) 2m + 3 = 19 (iv) 3x - 8 = -5 (xi) - 6j - 4 = 32 (v) 7-2x = 13 (xii) 2h = 1 + 9 (vi) 14 + 5x = 64 (xiii) 8p = 16 + 16 (vii) 2x - 1 = -11 Daily Practice 21.10.15 Q1. Round 18.5411 to 1 decimal place Q2. Multiply out and simplify 6x - 2(x + 3) Q3. Work out the cost of getting a car service if it is 120 + VAT at 20% Today we will be learning how to solve equations with unknowns on both sides. Q4. Simplify the ratio 30:15 Q5. Solve the equation 2x - 9 = 15
Equations with unknowns both sides Unknowns can be added/subtracted from both sides too. Examples: 1. 3x + 2 = x + 10 2. 6p - 3 = 3p + 12 3. 5-4h = h -15 Daily Practice 22.10.2015 Q1. Find the value of a car that was worth 4000 and depreciated in value by 6% Q2. Solve the equation 5x - 3 = 2x + 12 Q3. Multiply out and simplify 6(2x - 1) + 4 Q4. Equations with unknowns both sides Solve the following: (i) 2k + 7 = k - 4 (viii) 17t - 1 = 12t + 14 Today we will be continuing to learn how to solve equations. (ii) 13k - 8 = 2k + 14 (ix) 18y - 4 = -6y + 44 (iii) 10x + 12 = 4x + 48 (x) 6c - 15 = 12-3c (iv) -3x + 2 = x + 10 (v) 5x - 5 = 3x + 15 (vi) 9x - 8 = x + 24 (vii) 12g + 7 = 2g - 33 Daily Practice 23.10.2015 Q1. Find the value of a house that was worth 95 000 and appreciated in value by 7%? Q2. Solve the equation 9k - 1 = 2k + 13 Q3. Round 81.445 to the nearest unit Q4. Q5. Multiply out and simplify 6h - 3(2h + 1)
Equations with brackets To solve equations with brackets, first multiply out and simplify where possible, then solve as normal. Today we will be learning to solve equations with brackets. Homework online due Friday 30.10.15 Examples: Solve the following (a) 3(2x + 1) = 21 (ii) 7h + 2(h - 5) = 26 (iii) 2(h + 4) - (h + 6) = 7 Daily Practice 26.10.15 10 Questions Mental Maths Today we will be continuing to learn how to multiply out brackets and simplify. Homework due Friday
Daily Practice 28.10.2015 Q1. Find 17% of 9000 Q2. Multiply out and simplify 2(3x - 1) + 4(x - 6) Q3. Solve the equation 9x - 13 = -40 Today we will be learning about equations with fractions. Q4. Calculate the area of the rhombus shown 18cm 15cm Homework due Friday. Q5. Equations with fractions Examples: Solve (a) (b) Equations with fractions Daily Practice 29.10.2015 Questions: Q1. Multiply out and simplify 7(x - 3) + 2(x + 1) (a) (e) (i) Q2. John has savings of 5000, he earns simple interest of 4% per annum. How much interest does he earn in 2 years? (b) (f) (j) Q3. Factorise 5gh - 25h 2 (c) (g) (k) Q4. Solve 5x - 1 = 2x + 8 Q5. (d) (h) (l)
Inequalities From left to right: Today we will be learning about inequalities. Homework due tomorrow! < means less than > means greater than means less than or equal to means greater than or equal to Inequalities Write expressions for the following: x is less than 6 y is greater than -15 k is greater than or equal to 0 h is greater than or equal to -4 and is less than 7 Solving Inequalities Solving inequalities follows the same process as solving equations. Examples: Solve the following (a) 5x > 25 (b) a - 1 < 12 (c) 3x + 15 27 p is greater than -1 and is less than or equal to 4 j lies between -3 and 5 but isn't -3 or 5 Solving Inequalities Solve the following: (a) 2x > 6 (b) 5t < 20 (c) x + 4 > 10 (d) 2g + 3 15 (e) 10k > 120 (f) 4x - 5 15 (g) 2(x + 3) < 14 (h) 7j - 6 42 (i) 2x + 7 16 Daily Practice 30.10.2015 Q1. Round 61.77 to 1 decimal place Q2. A group of witches are ages 25, 37, 48, 43, 64, 77 and 82. Calculate their mean age Q3. 22 x 3 + 24 Q4. Ghostbusters blasted the ghost population (12000) by 30%. How many ghosts are left? (j) 4(3x + 11) 10x + 50 (k) 8(2y - 1) 14y Q5. Solve the equation 13W - 4 = 9W + 12
Today we will be marking the homework on equations and finishing the inequalities questions.
Daily Practice 2.11.2015 Q1. Multiply out and simplify 6c - 3(2c + 1) Q2. A dress costs 65, it is marked 15% off in the sale. How much is it in the sale? Q3. Solve the equation 7x - 4 = 2x + 21 Q4. 36-7 x 5 Q5. Solving Inequalities Solve the following: (a) 2x > 6 (b) 5t < 20 (c) x + 4 > 10 Today we will be learning how to create equations from context and solving them. (d) 2g + 3 15 (e) 10k > 120 (f) 4x - 5 15 (g) 2(x + 3) < 14 (h) 7j - 6 42 (i) 2x + 7 16 (j) 4(3x + 11) 10x + 50 (k) 8(2y - 1) 14y
Using Equations to solve Worded Problems 1. Janet is three times as old as her daughter Mary. Five years ago, Janet was four times as old as Mary. How old is Janet now? Daily Practice 4.11.15 Q1. Round 18.112 to 1 decimal place Q2. Solve the inequality 5t 14 4t + 13 Q3. Find 91% of 2000 Q4. Q5. 42 x 4000 Today we will be continuing to practise worded equations. 2. Together Joe and Harry have 30. Joe has 6 more than Harry. How much does each person have? Daily Practice 5.11.2015 20 Questions Mental Maths
Today we will be completing a check-up on Equations.