Practice 6-1. Solving Equations by Adding or Subtracting

Transcription

1 Chapter Practice -1 Solving Equations by Adding or Subtracting Determine which value of x is a solution for each equation. 1. x 12; x, 8, or x 17; x, 8, or 2 3. x 12 2; x 14, 38, or x 18 59; x 37, 41, or 77 Solve. Show steps!!! 5. n g y 2 8. j s r a m d x x 1. 8 m h f y ( 13) 2

2 20. w d g c y m Two sisters, Jenny and Penny, play on the same basketball team. Last season they scored a combined total of 458 points. Jenny scored 192 of the points. Write and solve an equation to find the number of points Penny scored. 27. After his payment, Mr. Weber s credit card balance was $ His payment was for $ Write and solve an equation to find the amount of his credit card bill.

3 Chapter Practice -1B Solving Equations by Adding or Subtracting Solve. Show steps!!! 1. v - 12 = g = y - = j = s - 1 = r = a - 35 = m + = d + 12 = = x x = m = h = = f y - (-33) = 2

4 1. w = d = = g c = y = m = Two sisters, Jenny and Penny, play on the same basketball team. Last season they scored a combined total of 502 points. Jenny scored 234 of the points. Find the number of points Penny scored. 23. After his payment, Mr. Weber s credit card balance was $ His payment was for $ Find the original amount of his credit card bill.

5 Chapter Practice -2 Solving Equations by Multiplying or Dividing Solve and check. 1. 4w y b 4 4. x v 14. n a q 9. 23b k w r b 14. u m 9

6 1. 3x t n 19. 9r w p k n w 25. Alex scored 13 points in the basketball game. This was 1 of the 5 total points the team scored. Write and solve an equation to determine the total points t the team scored. 2. Jar candles at the Candle Co. cost $4. Nikki spent $92 buying jar candles for party favors. Write and solve an equation to determine how many jar candles c Nikki bought at the Candle Co.

7 Chapter Practice -2B Solving Equations by Multiplying or Dividing Solve and check w y b x v 3. n a q b k w r 34

8 b 14. u m x t n k n w = Tony had 13 dollars in his pocket. This was 1/3 of the amount Samantha had. Determine how much money Samantha had.

9 Name Date Class Chapter Lesson -1 Problem Solving Solving Equations by Adding or Subtracting Write the correct answer. 1. The 1954 elevation of Mt. Everest was 29,028 ft. In 1999, that elevation number was revised to 29,035 ft. Write an equation to find the change c in elevation of Mt. Everest. 2. The difference between the boiling and melting points of fluorine is 32 C. If the boiling point of fluorine is 188 C, write an equation and solve to find the melting point m of fluorine. 3. Lisa sold her old bike for $140 less than she paid for it. She sold the bike for $85. Write and solve an equation to find how much Lisa paid for her bike. 4. The average January temperature in Fairbanks, Alaska, is 13 F. The April average is 43 F higher than the January average. Write an equation to find the average April temperature. 5. A survey found that female teens watched 3 hours of TV per week less than male teens. The female teens reported watching an average of 18 hours of TV. Find the number of hours h the male teens watched.. It costs about $125 more per year to feed a hamster than it does to feed a bird. If it costs $25 per year to feed a hamster, find the cost c to feed a bird. 7. From 1990 to 2000, the population of Naples, Florida increased by 99,278. If the 2000 population was 251,377, find the population p in 1990.

10 Name Date Class Chapter Lesson -2 Problem Solving Solving Equations by Multiplying or Dividing Write the correct answer. 1. Brett plans to bike in a 250-kilometer race. He rides a course near his house that is 2 km long. Write an equation to determine how many laps he must ride to equal the distance of the race. 2. The average life span of a duck is 10 years, which is one year longer than three times the average life span of a guinea pig. Write and solve an equation to determine the lifespan of a guinea pig. 3. The speed of a house mouse is one-fourth that of a giraffe. If a house mouse can travel at 8 mi/h, what is the speed of a giraffe? Write an equation and solve. 4. A farm that is 1920 acres covers 3 square miles. Find the number of acres a in one square mile. 5. When Maria doubles a recipe, she uses 8 cups of flour. How many cups of flour are in the original recipe?. A fathom is feet. If the maximum depth of the Gulf of Mexico is 2395 fathoms, what is the maximum depth in feet? 7. Four times as many pet birds have lived in the White House as pet goats. Sixteen pet birds have lived in the White House. How many pet goats have lived there?

11 Chapter Practice -3 Introduction to Inequalities Compare each inequality. Write or (5) (8) 5. 4(8) ( 7) ( 7) ( 18) 23 Solve and graph each inequality. 10. x c y v x s b n > r 1

12 19. 9 w k > a k n b d b w c b 12 > p 10 20

13 Chapter Practice -3B Introduction to Inequalities Compare each inequality. Write or (-5) (8) 5. 4(-8) ( 7) ( 7) Solve and graph each inequality. 10. x c y v x s 4 11

14 1. b n > r w k > a k n b d b w 3 4

15 Chapter Practice -4 Solving Equations with Rational Numbers Solve. Show Steps!!! 1. x y w a x 0.0. d m 8. n x x y d 21 20

16 13. x x a A recipe calls for cups of flour and cups of sugar. If the recipe is tripled, how much flour and sugar will be needed? 17. Daniel filled the gas tank in his car with 14. gal of gas. He then drove mi before needing to fill up his tank with gas again. How many miles did the car get to a gallon of gasoline?

17 Name Date Class Chapter Practice -5 Solving Two-Step Equations 1. The school purchased baseball equipment and uniforms for a total cost of $172. The equipment costs $598 and the uniforms were $24.25 each. How many uniforms did the school purchase? 2. Carla runs 4 miles every day. She jogs from home to the school track, which is 3 mile away. She then runs 4 laps around the 1 -mile track. Carla 4 then jogs home. How many laps does she run at the school? Solve. 3. a x y 4 3. k x 4 8. x n a 7 9 5

18 11. 3x r w r r 1. 7x a A phone call costs $0.58 for the first 3 minutes and $0.15 for each additional minute. If the total charge for the call was $4.78, how many minutes was the call? 19. Seventeen less than four times a number is twenty-seven. Find the number.

19 East Jackson Middle School Mathematics Name ID: 1 Z P2s0K1A7Y xkaumttaw tsroufhtbwjafr`ee _LbLrCJ.z y TAzlvlO GrPiGgzhUtEsO xrheusbetrovvendf. Practice -5B Ssolve each equation. Show steps. 1) 9 = n 5 + 2) 12 = -4 p + 8 Date Period 3) 10 + x 3 = 8 4) -128 = 2-10 p 5) 2 + p 1 = 0 ) -12 = -m + 4 7) -7 = r 9-5 8) m = -4 9) -4 + k x = - 10) = 5 D a2n0k1`7b xkzu[txah XSio[fwtXwGaMrweO GL^LGCy.C d FAwlnlJ brniwg]hgtesz NrrepsaenrRvbe`d`.t m CMXaod\eL vwpi_t]hl PIGn^foi_nTiptEek DP^rPec-ZAYlSgUeMbvrEaP. -1- Worksheet by Kuta Software LLC

20 11) x = -9 12) 3 = + k 13) x = ) 3 = -3 + n 2 15) a = 5 1) b = -1 17) - + 3v = ) -9 = x 4 19) 4 + b 2 = 7 20) 1 + v 3 = L z2`0o1k7c bknuutkaz asroyfotkwpafrvee nlblrcm.g ` BATlklr Rr]iQgzhTtqsa ZrLevspeUrkvdetdb.K R vmyamdxek BwzintYhc ziyngfoixnhiitoee cprryel-nayljgceabwrdax. -2- Worksheet by Kuta Software LLC