Writing Algebraic Expressions

Transcription

1 Name Date Teacher Practice A Writig Algebraic Expressios Write a algebraic expressio for each word phrase less tha d 2. x icreased by 8 3. the product of 10 ad q 4. the quotiet of b ad more tha h 6. the product of p ad times the sum of ad plus the product of 2 ad b Write a word phrase for each algebraic expressio c 11. x y m q b k Morga ears $6 per hour babysittig. Write a expressio to evaluate how much moey Morga will ear if she babysits for 2, 3, 4, or 5 hours. Earigs Write a word problem that ca be evaluated by the expressio 18 + r ad evaluate it for r = 12.

2 Name Date Teacher Practice B Writig Algebraic Expressios Write a algebraic expressio for each word phrase less tha twice x 2. 1 more tha the quotiet of 21 ad b 3. 3 times the sum of b ad times the differece of d ad 3 5. the sum of 11 times s ad mius the product of 2 ad x Write a word phrase for each algebraic expressio r c x y Maddie ears $8 per hour. Write a algebraic expressio to evaluate how much moey Maddie will ear if she works for 15, 20, 25, or 30 hours. Earigs Write a word problem that ca be evaluated by the algebraic expressio y 95, ad evaluate it for y =

3 Name Date Teacher Practice C Writig Algebraic Expressios Write a algebraic expressio for each word phrase times the sum of d ad the sum of 25 times w ad twice the quotiet of b ad times the differece of z ad more tha the quotiet of w ad 4 6. half the sum of y ad 8 Write a word phrase for each algebraic expressio. 7. y k a w The computer club is tryig to raise $960 to buy ew equipmet. The club is hopig each member ca raise the same amout of moey. Write a algebraic expressio to evaluate how much will be eeded from each member of the club if there are 6, 8, 10, or 12 club members. 14. Write a word problem that ca be evaluated by the algebraic expressio d ad evaluate it for d = Earigs

4 Name Date Teacher Review for Mastery Writig Algebraic Expressios What words tell you to add, subtract, multiply, or divide? Add + 6 plus 6 the sum of ad 6 6 added to icreased by 6 Subtract 6 mius 6 the differece betwee ad 6 6 subtracted from 6 less tha decreased by 6 Multiply 6 times 6 the product of ad 6 6 multiplied by Divide 6 divided by 6 the quotiet of ad 6 6 equal shares of Write the algebraic expressio that represets the word expressio. 1. the quotiet of ad more tha 3. the product of 3 ad 4. decreased by less tha 6. the product of ad 3 7. icreased by 3 8. oe-third times Write a word phrase for each algebraic expressio

5 Name Date Teacher Challege Amazig Math Write a algebraic expressio for each word phrase o the board. Evaluate each expressio for x = 2. The fid a path from the top row to the bottom row that gives a total of times x 1 less tha twice x 6 more tha x x icreased by 3 the quotiet of twice x ad 2 1 more tha x the product of 3 ad x x decreased by 1 half of x twice x icreased by 3 1 less tha 3 times x the differece betwee 3 ad x the differece betwee 2 ad x the product of 4 ad x the sum of 6 ad twice x twice x the differece betwee x ad 1 the sum of x ad 5 1 more tha half of x the product of 4 ad 3 times x x icreased by 2 the quotiet of x ad 2 7 icreased by x the quotiet of 6 ad x 5 times x divided by 2

6 Name Date Teacher Problem Solvig Writig Algebraic Expressios Write the correct aswer. 1. Morto bought 15 ew books to add to his collectio of books b. Write a algebraic expressio to evaluate the total umber of books i Morto s collectio if he had 20 books i his collectio. 2. Paul exercises m miutes per day 5 days a week. Write a algebraic expressio to evaluate how may miutes Paul exercises each week if he exercises 45 miutes per day. 3. Hele bought 3 shirts that each cost s dollars. Write a algebraic expressio to evaluate how much Hele spet i all if each shirt cost $ Claire makes b bracelets to divide evely amog four frieds ad herself. Write a algebraic expressio to evaluate the umber of bracelets each perso will receive if Claire makes 15 bracelets. Choose the letter for the best aswer. 5. Joas collects baseball cards. He has 245 cards i his collectio. For his birthday, he received r more cards, the he gave his brother g cards. Which algebraic expressio represets the total umber of cards he ow has i his collectio? A r + g B 245 r g C r g D r + g Which algebraic expressio represets the umber of years i m moths? A 12m m B 12 C 12 + m D 12 m 6. Moique is savig moey for a computer. She has m dollars saved. For her birthday, her dad doubled her moey, but the she spet s dollars o a shirt. Which algebraic expressio represets the amout of moey she has ow saved for her computer? F m + 2 s G 2m s H 2m + s J m + 2s 8. Which algebraic expressio represets how may miutes are i h hours? F 60h h G 60 H h + 60 J h 60

7 Name Date Teacher Readig Strategies Multiple-Meaig Phrases Idetifyig word phrases for differet operatios ca help you write algebraic expressios. Use this table for four operatios. Additio Subtractio Multiplicatio Divisio m + 10 z 5 2y a 2 a umber plus 10 a umber mius 5 2 times a umber a umber divided by 2 add 10 to a umber the sum of a umber ad more tha a umber subtract 5 from a umber 5 less tha a umber a umber decreased by 5 2 multiplied by a umber twice a umber the product of 2 ad a umber oe-half of a umber the quotiet of a umber with a divisor of 2 The order of values ad variables is very importat whe you are evaluatig expressios with subtractio or divisio. 5 less tha a umber meas z 5, ot 5 z. A umber divided by 6 meas a 6, ot 6 a. Write a word phrase for each algebraic expressio. 1. 7w 2. h t (p + 8) Write a algebraic expressio for each word phrase. 5. a umber z decreased by times the sum of ad 9 7. the quotiet of a umber r with a divisor of 7 8. a umber icreased by 32

8 Name Date Teacher Puzzles, Twisters & Teasers Riddle Me This What did the cucumber say to the viegar? To fid out, choose the correct algebraic expressio for each word phrase. The fid the letter associated with each expressio you wrote to complete the decoder below more tha twice 2. 3 less tha the product of 4 ad 8 2 T U 3 4 F 3 4 G 2 8 V P 4 3 K L 3. 9 more tha the product of 6 ad 4. 3 more tha the quotiet of 4 ad 9 6 F E C D ( + 3) D 6 9 G E F 5. 1 divided by the sum of 2 ad 6. 5 less tha divided by J ( + 1) L 1 (2 + ) K I L 5 6 Q M 6 5 U of the sum of 9 ad times the sum of 8 ad M (9) + O 12(8) + S 12( 8) T ( + 9) N I 12( + 8) R U 3 9. half the sum of ad twice the quotiet of ad (20) B L 2 W M 10 ( + 20) 2 A R 2 10 N O

9 Aswers LESSON 1-2 Practice A 1. d 2 2. x q 4. b 7 5. h p 7. 3( + 5) b 9. the product of 7 ad icreased by c less tha x 12. y divided by more tha m 14. the quotiet of q ad more tha 6 times b less tha the product of 5 ad k Earigs 2 6(2) $12 3 6(3) $18 4 6(4) $24 5 6(5) $ Possible aswer: Mr. Meb ra 18 miles last week. If Mr. Meb ra r miles this week, how may miles did he ru i two weeks? 30 miles Practice B 1. 2x b 3. 3(b + 5) 4. 10(d 3) 5. 11s x Possible aswers give more tha twice 8. 1 less tha the product of 3 ad r 9. the differece of 10 ad 6 times CODE more tha 2 divided by c less tha the product of 15 ad x more tha the quotiet of y ad Earigs 15 8(15) $ (20) $ (25) $ (30) $ Possible aswer: Marco has saved y dollars. He wats to buy a skateboard that costs $95. How much moey will Marco have left after he buys the skateboard? $30 Practice C 1. 9(d + 13) 2. 25w b 4. 6(z 19) w 6. 1 (y + 8) Possible aswers give more tha the quotiet of y ad less tha the product of 74 ad k 9. the differece of 450 ad 12 times a more tha 200 divided by plus the product of 5 ad more tha product of 180 ad w Earigs $160

10 $120 $96 $ Check studets problems. 305 miles Review for Mastery or Possible aswers give. 9. the product of 4 ad icreased by less tha 12. divided by more tha 14. the quotiet of ad 2 Problem Solvig b; 35 books 2. 5m; 225 miutes 3. 3s; $66 4. b 5 ; 3 bracelets 5. C 6. G 7. B 8. F Readig Strategies 1. seve times a umber less tha a umber 3. a umber divided by times the sum of a umber ad 8 5. z ( + 9) 7. r Puzzles, Twisters & Teasers 1. P 2. K 3. E 4. C 5. I 6. L 7. N 8. R 9. A 10. W WE ARE IN A PICKLE Challege 3x = 6; 2x 1 = 3; x + 6 = 8; x + 3 = 5; 2x 2 = 2 x + 1 = 3; 3x = 6; x 1 = 1; x 2 = 1; 2x + 3 = 7 3x 1 = 5; 3 x = 1; 2 x = 0; 4x = 8; 6 + 2x = 10 2x = 4; x 1 = 1; x + 5 = 7; x = 2; 4(3x) = 24 x + 2 = 4; x 2 = 1; 7 + x = 9; 6 x = 3; 5x 2 = 5 22