Equations MTH 3 15 a MTH 4 15

Equations MTH 3 -15 a MTH 4 -15 a www. mathsrevision. com 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) Equations Type (simple fraction) Equations Type (more fractions) Equations Type (creating equations 1) Equations Type (creating equations 2) 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Explain the difference between area and perimeter. Q 2. Write down the steps to add fractions. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. 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. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics www. mathsrevision. com Level 3 Examples 01 -Dec-20 x + 14 = 22 - 14 x =8 32 + y = 101 - 32 y = 69 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics www. mathsrevision. com Level 3 Examples Swap ! 72 = g + 40 50 = 35 + m = 50 - 35 01 -Dec-20 g + 40 = 72 - 35 - 40 m = 15 - 40 g = 32 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics www. mathsrevision. com Level 3 Swap ! Examples 01 -Dec-20 d - 5 = -14 +5 +5 d = -8 Created by Mr. Lafferty Maths Dept. 23 = p - 9 p – 9 = 23 +9 +9 p = 32

Equations Revision of Basics www. mathsrevision. com Level 3 Examples 01 -Dec-20 Swap ! 14 = c - 8 + 13 c - 8 = 14 +8 -13 + t = 4 + 13 t = 17 +8 c = 22 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com Level 3 01 -Dec-20 Revision of Basics Worksheet Page 1 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find an expression for the perimeter 4 j 3 j j 4 j Q 2. Evaluate 01 -Dec-20 3 + 2 Created by Mr. Lafferty Maths Dept. 7 15

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to solve one step equations with negative values. 01 -Dec-20 1. Remember integer rule. 2. Apply ‘Balancing Method’ to solve equations. Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics www. mathsrevision. com Level 3 Swap ! Examples 01 -Dec-20 -3 = 5 + f = -3 x + 4 = -2 -4 -4 x = -6 -5 Created by Mr. Lafferty Maths Dept. -5 f = -8

Equations Revision of Basics www. mathsrevision. com Level 3 Examples Swap ! -8 = -5 + z = -8 +5 01 -Dec-20 +5 -1 + a = -12 +1 +1 a = -11 z = -3 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com Level 3 01 -Dec-20 Revision of Basics Worksheet Page 2 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find an expression for the perimeter 3 h 7 h 7 h 5 h Q 2. Evaluate 01 -Dec-20 5 + 4 Created by Mr. Lafferty Maths Dept. 5 16

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to solve equations with negatives. 01 -Dec-20 1. Remember integer rule. 2. Apply ‘Balancing Method’ to solve equations. Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics www. mathsrevision. com Level 3 Swap ! Examples -7 = -2 - b +b b – 7 = -2 01 -Dec-20 +7 +b 6 - e = 10 10 = 6 - e +e +e e + 10 = 6 +7 - 10 b=5 e = -4 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics www. mathsrevision. com Level 3 Swap ! Examples -3 = -h + 2 +h +h h– 3=2 01 -Dec-20 +3 - e + 7 = -4 -4 = -e + 7 +e +e e-4=7 +3 +4 +4 h=5 e = 11 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com Level 3 01 -Dec-20 Revision of Basics Worksheet Page 3 (including mixed Ex 1) Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find an expression for the perimeter 4 e Q 2. Evaluate 01 -Dec-20 5 4 Created by Mr. Lafferty Maths Dept. 5 16

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to solve simple one step equations. 1. Understand the step for solving one step equations. 2. Neat detailed layout. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics MTH 3 -15 a MTH 4 -15 a www. mathsrevision. com Examples 01 -Dec-20 6 x = 72 6 6 2 x = 11 2 2 x = 5. 5 x = 12 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics MTH 3 -15 a MTH 4 -15 a You need to remember integer rules !!! www. mathsrevision. com Examples 01 -Dec-20 3 x = -21 3 3 -2 x = 32 -2 -2 x = -16 x = -7 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics MTH 3 -15 a MTH 4 -15 a www. mathsrevision. com Examples 01 -Dec-20 -4 h = -36 -4 -4 -5 y = 60 -5 -5 y = -12 h =9 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com Level 3 01 -Dec-20 Revision of Basics Worksheet Page 4 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find a expression for the perimeter 2 k Q 2. Evaluate 01 -Dec-20 5 ÷ 8 Created by Mr. Lafferty Maths Dept. 5 16

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to solve simple two step equations. 1. Understand the step for solving two step equations. 2. Neat detailed layout. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations MTH 3 -15 a MTH 4 -15 a www. mathsrevision. com Examples 01 -Dec-20 4 x – 2 = 34 2 x + 9 = 31 4 x = 36 4 4 2 x = 22 x =9 x = 11 +2 +2 Created by Mr. Lafferty Maths Dept. -9 2

Equations MTH 3 -15 a MTH 4 -15 a www. mathsrevision. com Examples +3 x Swap ! 22 = 4 – 3 x 3 x 3 x + 22 = 4 01 -Dec-20 -22 25 – 2 x = 5 5 = 25 – 2 x +2 x 3 x = -18 3 3 x = -6 2 x + 5 = 25 Created by Mr. Lafferty Maths Dept. -5 -5 2 x = 20 2 2 x = 10 + 2 x

Equations www. mathsrevision. com Level 3 01 -Dec-20 Worksheet Page 5/6 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find k if perimeter is 96 cm k 2 k Q 2. Evaluate 01 -Dec-20 1 2 ÷ 2 3 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to solve simple fractional equations. 1. Understand the step for removing fractions from equations. 2. Apply balancing method. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations Revision of Basics MTH 3 -15 a MTH 4 -15 a www. mathsrevision. com Examples 01 -Dec-20 Swap ! x 6 x = 48 x 4 Created by Mr. Lafferty Maths Dept. x = -28

Equations www. mathsrevision. com Level 3 01 -Dec-20 Revision of Basics Worksheet Page 6 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find x if perimeter is 42 cm x 16 Q 2. Evaluate 01 -Dec-20 1 2 x Created by Mr. Lafferty Maths Dept. 2 3

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to solve fractional equations. 1. Understand the step for removing fractions from equations. 2. Apply balancing method. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations Examples www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Swap ! 01 -Dec-20 x 3 -x + 21 = 27 +x x 4 +x 21 = 27 + x x + 27 = 21 -27 -32 = -3 x + 4 +3 x 3 x - 32 = + 4 -27 x = -6 Created by Mr. Lafferty Maths Dept. +32 3 x = 36 3 3 x = 12

Equations www. mathsrevision. com Level 3 01 -Dec-20 Worksheet Page 7 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find x if perimeter is 56 cm x 3 x Q 2. Evaluate 01 -Dec-20 3 4 x Created by Mr. Lafferty Maths Dept. 3 4

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to solve fractional equations. 1. Understand the step for removing fractions from equations. 2. Apply balancing method. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations Examples www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a 01 -Dec-20 x 5 x 3 -x = -30 -2 x = -24 -2 -2 x = 12 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Examples Swap ! x 4 32 = -3 x + 20 x 7 70 = 21 - n -3 x + 20 = 32 01 -Dec-20 -20 -3 x = 12 -3 -3 x = -4 Swap ! 21 - n = 70 - 21 Created by Mr. Lafferty Maths Dept. -21 -n = 49 -1 -1 n = -49

Equations www. mathsrevision. com Level 3 01 -Dec-20 Mixed Exercise Worksheet Page 8 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Evaluate 3 + 4 x 2 Q 2. Find the missing angles. 60 01 -Dec-20 Created by Mr. Lafferty Maths Dept. o

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to form equations. 1. Be able to form an equation from given information. 2. Apply balancing method to solve equations. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Creating Equations www. mathsrevision. com Level 3 To create equations we need to learn some mathematical words. 01 -Dec-20 Sum : Difference : Product : Quotient : consecutive : means to add means to subtract means to multiply means to divide means one after another Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a 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 01 -Dec-20 - 10 -10 h=6 Created by Mr. Lafferty Maths Dept. +8 +8 f = 29

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Examples The product of 3 and y is 57. The quotient of k and 9 is 4. What is the value of y. What is the value of k. 01 -Dec-20 3 y = 57 3 3 x y = 19 Created by Mr. Lafferty Maths Dept. 9 k =4 9 k = 36

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Two consecutive numbers sum to 69. Let the first number be n. Find the value of the two number. 01 -Dec-20 n + (n + 1) = 69 2 n + 1 = 69 -1 -1 2 n = 68 2 2 n = 34 Created by Mr. Lafferty Maths Dept. 34 and 35

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Form an equation for the perimeter and find the value for x. x + 1 + 3 + x + 1 + 3 = 30 01 -Dec-20 2 x + 8 = 30 -8 -8 2 x = 22 2 2 x = 11 cm Created by Mr. Lafferty Maths Dept. x+1 3 Perimeter is 30 cm

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Form an equation for the perimeter and find the value for p. 01 -Dec-20 2 p + 2 p = 42 6 p = 42 6 6 p = 7 cm Created by Mr. Lafferty Maths Dept. 2 p Perimeter is 42 cm

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Form an equation for the AREA of the square and find the value for d. d x d = 81 √ both sides 01 -Dec-20 d 2 = 81 d = √ 81 d = 9 cm Created by Mr. Lafferty Maths Dept. d Area is 81 cm 2

Equations www. mathsrevision. com Level 3 01 -Dec-20 Forming Equations Worksheet Page 8/9 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Q 1. Find the perimeter 3 b 2 a Q 2. Find the missing angles. 50 01 -Dec-20 Created by Mr. Lafferty Maths Dept. o 70 o

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Learning Intention Success Criteria 1. We are learning how to form equations. 1. Be able to form an equation from given information. 2. Apply balancing method to solve equations. 01 -Dec-20 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a I think of a number, triple it and subtract 5. The answer is 40. What was my number ? 01 -Dec-20 3 n – 5 = 40 +5 +5 3 n = 45 3 3 n = 15 Created by Mr. Lafferty Maths Dept.

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a Jack is twice as old as Victor. Their ages add to 63. Find the age of Jack and Victor. 01 -Dec-20 2 a + a = 63 +5 +5 3 a = 63 3 3 g = 21 Created by Mr. Lafferty Maths Dept. Victor = 21 Jack = 42

Equations www. mathsrevision. com MTH 3 -15 a MTH 4 -15 a 01 -Dec-20 In St. Ninian’s High School, there are 150 in S 2. There are 28 few girls than boys. Find the number of boys and girls. p + (p – 2) = 150 2 p - 2 = 150 +2 +2 2 p = 152 2 2 p = 76 Created by Mr. Lafferty Maths Dept. Boys = 76 Girls = 74

Equations www. mathsrevision. com Level 3 01 -Dec-20 Forming Equations 2 Worksheet Page 10/11 Created by Mr. Lafferty Maths Dept.