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Created by Mr. Lafferty Maths Dept. Equations Simple equations Type (x ± a = b) Simple Equations Type (with negatives) Equations Type (-x and mixed) Equations Type (ax = b) Equations Type (ax ± b = c) www.mathsrevision.com Equations Type (simple fraction) Equations Type (more fractions) Equations Type (creating equations 1) Equations Type (creating equations 2) 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Explain the difference between area and perimeter. www.mathsrevision.com Q2. Write down the steps to add fractions. 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Revision of Basics Learning Intention Success Criteria To revise Level 2/3 using the rule ‘Balancing Method’ 1. Understand the process of the ‘Balancing Method’ 2. Be able to solving simple algebraic equations involving Add/Subtract. www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Examples x + 14 = 22 32 + y = 101 - 14 - 14 - 32 - 32 x = 8 y = 69 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Swap ! Swap ! Examples 72 = g + 40 50 = 35 + m g + 40 = 72 35 + m = 50 www.mathsrevision.com - 35 - 35 - 40 - 40 m = 15 g = 32 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Swap ! Examples 23 = p - 9 d - 5 = -14 + 5 + 5 p – 9 = 23 www.mathsrevision.com + 9 + 9 d = -8 p = 32 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Swap ! Examples -13 + t = 4 14 = c - 8 + 13 + 13 c - 8 = 14 www.mathsrevision.com + 8 + 8 t = 17 c = 22 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Worksheet Page 1 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find an expression for the perimeter 4j 3j j www.mathsrevision.com 4j 3 2 15 7 Q2. Evaluate + 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. Remember integer rule. We are learning how to solve one step equations with negative values. 2. Apply ‘Balancing Method’ to solve equations. www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Swap ! Examples -3 = 5 + f x + 4 = -2 5 + f = -3 - 4 - 4 - 5 - 5 www.mathsrevision.com x = -6 f = -8 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Swap ! Examples -1 + a = -12 -8 = -5 + z -5 + z = -8 + 1 + 1 www.mathsrevision.com + 5 + 5 a = -11 z = -3 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Worksheet Page 2 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find an expression for the perimeter 3h 7h 7h www.mathsrevision.com 5h 5 4 16 5 Q2. Evaluate + 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. Remember integer rule. 1. We are learning how to solve equations with negatives . 2. Apply ‘Balancing Method’ to solve equations. www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Swap ! Examples 6 - e = 10 -7 = -2 - b 10 = 6 - e + b + b b – 7 = -2 + e + e www.mathsrevision.com + 7 + 7 e + 10 = 6 - 10 - 10 b = 5 e = -4 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Swap ! Examples - e + 7 = -4 -3 = -h + 2 -4 = -e + 7 + h + h h – 3 = 2 + e + e www.mathsrevision.com + 3 + 3 e - 4 = 7 + 4 + 4 h = 5 e = 11 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Worksheet Page 3 (including mixed Ex 1) www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find an expression for the perimeter 4e www.mathsrevision.com 5 4 16 5 Q2. Evaluate - 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. We are learning how to solve simple one step equations. Understand the step for solving one step equations. www.mathsrevision.com 2. Neat detailed layout. 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Revision of Basics Examples 6x = 72 2x = 11 6 6 2 2 www.mathsrevision.com x = 12 x = 5.5 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Equations 3x = -21 -2x = 32 3 3 -2 -2 x = -7 x = -16 You need to remember integer rules !!! Equations MTH 3-15a MTH 4-15a Revision of Basics Examples 3x = -21 -2x = 32 3 3 -2 -2 www.mathsrevision.com x = -7 x = -16 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Revision of Basics Examples -4h = -36 -5y = 60 -4 -4 -5 -5 www.mathsrevision.com h = 9 y = -12 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Worksheet Page 4 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find a expression for the perimeter 2k www.mathsrevision.com 5 8 16 5 Q2. Evaluate ÷ 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. We are learning how to solve simple two step equations. Understand the step for solving two step equations. www.mathsrevision.com 2. Neat detailed layout. 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Examples 4x – 2 = 34 2x + 9 = 31 + 2 + 2 - 9 - 9 4x = 36 2x = 22 www.mathsrevision.com 4 4 2 2 x = 9 x = 11 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Swap ! Examples 22 = 4 – 3x 25 – 2x = 5 +3x 3x 5 = 25 – 2x 3x + 22 = 4 +2x + 2x -22 -22 2x + 5 = 25 www.mathsrevision.com 3x = -18 - 5 - 5 3 3 2x = 20 x = -6 2 2 x = 10 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Worksheet Page 5/6 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find k if perimeter is 96 cm k 2k www.mathsrevision.com 1 2 2 3 Q2. Evaluate ÷ 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. We are learning how to solve simple fractional equations. Understand the step for removing fractions from equations. www.mathsrevision.com 2. Apply balancing method. 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Revision of Basics Swap ! Examples x6 x = 48 www.mathsrevision.com x4 x = -28 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Revision of Basics Worksheet Page 6 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find x if perimeter is 42 cm x 16 www.mathsrevision.com 1 2 2 3 Q2. Evaluate x 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. We are learning how to solve fractional equations. Understand the step for removing fractions from equations. www.mathsrevision.com 2. Apply balancing method. 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Examples x3 x4 -x + 21 = 27 -32 = -3x + 4 +x +x +3x +3x Swap ! 21 = 27 + x www.mathsrevision.com 3x - 32 = + 4 x + 27 = 21 +32 +32 3x = 36 -27 -27 3 3 x = -6 x = 12 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Worksheet Page 7 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find x if perimeter is 56 cm x 3x www.mathsrevision.com 3 4 3 4 Q2. Evaluate x 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. We are learning how to solve fractional equations. Understand the step for removing fractions from equations. www.mathsrevision.com 2. Apply balancing method. 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Examples x3 x5 -x = -30 -2x = -24 -2 -2 www.mathsrevision.com x = 12 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Examples x4 Swap ! 32 = -3x + 20 x7 70 = 21 - n -3x + 20 = 32 Swap ! -20 -20 www.mathsrevision.com 21 - n = 70 -3x = 12 - 21 -21 -n = 49 -3 -3 -1 -1 x = -4 n = -49 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Mixed Exercise Worksheet Page 8 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Evaluate 3 + 4 x 2 www.mathsrevision.com Q2. Find the missing angles. 60o 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. We are learning how to form equations. Be able to form an equation from given information. 2. Apply balancing method to solve equations. www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Creating Equations To create equations we need to learn some Level 3 To create equations we need to learn some mathematical words. Sum : means to add Difference : means to subtract www.mathsrevision.com Product : means to multiply Quotient : means to divide consecutive : means one after another 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Examples The sum of h and 10 is 16. What is the value of h. When 8 is subtracted from f the answer is 21. What is the value of f. h + 10 = 16 f - 8 = 21 www.mathsrevision.com - 10 -10 + 8 + 8 h = 6 f = 29 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Examples The product of 3 and y is 57. What is the value of y. The quotient of k and 9 is 4. What is the value of k. k 9 = 4 3y = 57 www.mathsrevision.com 3 3 x 9 k = 36 y = 19 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Two consecutive numbers sum to 69. Let the first number be n. Find the value of the two number. n + (n + 1) = 69 2n + 1 = 69 www.mathsrevision.com - 1 -1 2n = 68 2 2 n = 34 34 and 35 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Form an equation for the perimeter and find the value for x. x + 1 x + 1 + 3 + x + 1 + 3 = 30 2x + 8 = 30 3 - 8 - 8 www.mathsrevision.com 2x = 22 Perimeter is 30cm 2 2 x = 11 cm 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Form an equation for the perimeter and find the value for p. 2p + 2p + 2p = 42 2p 6p = 42 www.mathsrevision.com 6p = 42 6 6 Perimeter is 42cm p = 7 cm 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Form an equation for the AREA of the square and find the value for d. d x d = 81 d d2 = 81 √ both sides www.mathsrevision.com d = √81 Area is 81cm2 d = 9 cm 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Forming Equations Worksheet Page 8/9 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find the perimeter 3b 2a www.mathsrevision.com 70o 50o Q2. Find the missing angles. 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria 1. We are learning how to form equations. Be able to form an equation from given information. 2. Apply balancing method to solve equations. www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a I think of a number, triple it and subtract 5. The answer is 40. What was my number ? 3n – 5 = 40 + 5 + 5 3n = 45 www.mathsrevision.com 3 3 n = 15 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a Jack is twice as old as Victor. Their ages add to 63. Find the age of Jack and Victor. 2a + a = 63 + 5 + 5 3a = 63 www.mathsrevision.com 3 3 Victor = 21 g = 21 Jack = 42 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations MTH 3-15a MTH 4-15a In St. Ninian’s High School, there are 150 in S2. There are 28 few girls than boys. Find the number of boys and girls. p + (p – 2) = 150 2p - 2 = 150 + 2 + 2 www.mathsrevision.com 2p = 152 Boys = 76 2 2 Girls = 74 p = 76 10-Nov-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Level 3 Forming Equations 2 Worksheet Page 10/11 www.mathsrevision.com 10-Nov-18 Created by Mr. Lafferty Maths Dept.