Constructing expressions.pptx including h

Constructing expressions.pptx including

1. Constructing Algebraic Expressions Objective: Be able to write an algebraic expression for a word phrase or write a word phrase for an expression.

2. Addition Phrases: More than Increase by Greater than Add Total Plus Sum

3. Subtraction Phrases: Decreased by Difference between Take Away Less Subtract Less than* Subtract from*

4. Multiplication Phrases: Product Times Multiply Of Twice or double Triple

5. Division Phrases: Quotient Divide Divided by Split equally

6. Notes Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3 a 2 t 1.5 c 0.4 f

7. Notes Division expressions should be written using the fraction bar instead of the traditional division sign.

8. Examples Addition phrases : 3 more than x the sum of 10 and a number c a number n increased by 4.5

9. Examples Subtraction phrases : a number t decreased by 4 the difference between 10 and a number y 6 less than a number z

10. Examples Multiplication phrases : the product of 3 and a number t twice the number x 4.2 times a number e

11. Examples Division phrases : the quotient of 25 and a number b the number y divided by 2 2.5 divide g

12. Rewrite these verbal expressions as algebraic expressions. 5. Four less than a number 4. 56 increased by twice a number 3. n to the seventh power 2. the product of 15 and some number 1. the sum of s and 12 s+12 15n 56+2a n-4 n 7

13. Justine : Liam Tjinder Crispin   Forming expressions Pens cost 15p, rulers cost 20p. Find an expression for the total cost of pens and rulers At Coat Hill School each pupil donates £2 to come in in non-uniform. Write an expression to show how much money the school raises City Cabs charge £4 per kilometer driven, plus a fee of £3 for hiring the cab. Write an expression to show the cost of hiring a cab Jarvis is years old. Noel is 3 years younger than Jarvis. Write an expression to show Noel’s age. Damon works at a shop. He gets paid £8.40 an hour. Work out an expression for the amount he earns after hours worked.   ? ? ? ? ? BrainBox Extension: Four musicians go on a song writing retreat : Justine writes songs. Liam writes 5 fewer. Tjinder writes twice as many as Liam. Crispin writes half as many as Liam. Write expressions for how many songs each person wrote.