Linear Equations Forming Solving Demonstration This resource provides

Linear Equations – Forming & Solving – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

A farmer wants to make an enclosure for his sheep. He has 42 metres of fencing. He wants the length to be twice the width. What dimensions should the field have? ? 7 m ? 14 m Form an Equation & Solve ÷ 6

Anne wants to make an enclosure for her T-Rex. She has 40 metres of fencing. She wants the length to be 10 metres more than the width. What dimensions should the field have? 5 m ? ? 15 m Form an Equation & Solve

Mark wants to make an enclosure for his cows. He has 44 metres of fencing. He wants the width to be 8 metres less than the length. What dimensions should the field have? ? 15 m 7 m ? Form an Equation & Solve

You are a farmer. You need to calculate the dimensions of each plot of land. You have a limited amount of fencing for each field. ① Fencing = 30 m EXAMPLE Dimensions = 5 m × 10 m Fencing = 80 m Dimensions = 8 m × 32 m ④ ② The length of the field is 5 times the width. Fencing = 84 m Dimensions = 7 m × 35 m ③ The length & width of the field are in the ratio 2 : 3 Fencing = 45 m Dimensions = 9 m × 13. 5 m Fencing = 62 m Dimensions = 12 m × 19 m ⑤ Fencing = 100 m Dimensions = 18 m × 32 m

You are a farmer. You need to calculate the dimensions of each plot of land. You have a limited amount of fencing for each field. ① Fencing = 30 m EXAMPLE Dimensions = 5 m × 10 m Fencing = 80 m Dimensions = 8 m × 32 m ④ ② The length of the field is 5 times the width. Fencing = 84 m Dimensions = 7 m × 35 m ③ The length & width of the field are in the ratio 2 : 3 Fencing = 45 m Dimensions = 9 m × 13. 5 m Fencing = 62 m Dimensions = 12 m × 19 m ⑤ Answers Fencing = 100 m Dimensions = 18 m × 32 m

For each shape, form an equation with its perimeter. Solve the equation to find the variable. Perimeter = 36 m P = 52 cm P = 36 m P = 22 m P = 66 m

For each shape, form an equation with its perimeter. Solve the equation to find the variable. Perimeter = 36 m P = 52 cm P = 36 m P = 22 m P = 66 m Answers

Hannah Sam is twice as old as Hannah. The sum of their ages is 27. How old is Hanah?

Max Fran is 5 years older than Max. The sum of their ages is 27. How old is Max?

Twins Pam is 7 years older than her twin brothers. The sum of their ages is 31. How old is Pam?

Fred Mary is 2 years older than Fred. Pete is twice as old as Mary. The sum of their ages is 38. How old is Fred?

Form and solve an equation for each worded problem. Ann is 6 years older than Joe. The sum of their ages is 20. How old is Joe? ① Pete is triple Maggie’s age. The sum of their ages is 48. How old is Pete? ② ④ Jeff is twice as old as James. John is 5 years older than Jeff. The sum of their ages is 55. How old will James be in 5 years? Sam is 5 years older than Seb. Sal is 7 years older than Seb. The sum of their ages is 30. How old is Seb? ③ Kim is 3 years older then Kyle. Ken is three times older than Kim. The sum of their ages is 52. How old is Kim? ⑤ Peter is 8 years younger than Paul is twice the age of Pam is 4 years younger than Peter. How old is Pam? ⑥

John had a £ 10 note. He went to the shop and bought a packet of biscuits for his teacher, and one for himself. He got £ 7 change. How much did one packet of biscuits cost? 1 packet of biscuits cost £ 1. 50

Mae had a £ 5 note. She went to the shop and bought 3 drinks. She got £ 2. 60 change. How much did one drink cost? 1 drink cost 80 p

Madge and Molly had the same amount of money. Madge bought 4 sandwiches and got £ 6 change. Molly bought 5 sandwiches and got £ 3 change. How much money did they both begin with? 1 sandwich cost £ 3 They both had £ 18.

Form an equation for each worded problem. ① ② ③ ⑤ ④ ⑥ Solve each equation.

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk