Quiz - Using Equations to Solve Word Problems

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year.

Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria.

• 
  

  $45,000x\ +\ 2,500x\ =\ 54,000x\ +1,500x$
  

• $45,000x\ +2,500\ =\ 54,000x\ +1,500$

• $45,000\ +\ 2,500x\ =\ 54,000\ +1,500x$

• $45,000x\ +\ 2,500x\ =\ 54,000x\ +\ 1,500$

Which situation can be represented by the equation:

 $340+5x\ =\ 650-8x$  

• Sierra has a bucket that originally contained 340 fluid ounces of water and is being filled at a rate of five fluid ounces per minute. Brian has a bucket that originally contained 650 fluid ounces of water and is being drained at a rate of 8 fluid ounces per minute. What is x, the number of minutes that need to pass in order for the two buckets to contain the same amount of water? 

• Sierra started with 340 cans of food for a food drive. She collects five more cans every day. Brian started with 650 cans for the food drive. He collects 8 more cans every day. What is x, the number of days it will take for Sierra and Brian to have the same amount of cans? 

• Sierra earns 345 points on each level of a video game. Brian earns 642 points on each level of the same video game. What is x, the number of levels that Sierra and Brian would have to play in order for them to have an equal number of points. 

• Sierra started with a savings of $340 and spends $8 of her savings every week. Brian started with $650 and saves another $5 each week in his savings. What is x, the number of weeks that need to pass in order for Sierra and Brian to have the same amount of money in their savings? 

Which situation can be best represented by this equation?

8x + 2 = 12x

• Grayson ran at a constant rate of 8 miles per hour in a race. Kadence ran at a constant rate of 12 miles per hour in a race and started 2 miles in front of the starting point. What is x, the number of hours that Grayson and Kadence would have run in order for their distance to be the same?

• Jesse played a game where he scored 10 points per hour. Ann played the game and won 12 points per hour. What is x, the number of hours that Jesse and Grayson would have scored for their points to be the same?

• Bryan went to two different amusement parks. The first park charged $8 per hour and gave a 1% discount for showing student ID. The other park charged $12 per hour. What is x, the number of hours that Bryan would have to stay at each park for the price to be the same?

• Claire rode her bicycle on two different days. The first day she rode 8 miles per hour and started 2 miles from her house. The second day she started from her house and rode 12 miles per hour. What is x, the number of hours that Claire would have to drive for the distance from each day to be the same.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.2

CCSS.6.RP.A.3

-8y = -3y -15

• 3
• -3
• 5
• -5

An equation is given. For which value of x will the equation be true?

 $2.7x\ +\ 3\ =\ 9.6\ +\ 3.2x$  

• -25.2

• -13.2

• 13.2

• 25.2

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step
• They should add 19 instead of subtracting 19
• I can not find an error
• Instead of adding 3k they should subtract 3k

Tags

CCSS.HSA.REI.A.1

5x - 4 + 2x = 3

• 1
• 2
• 3
• 4

Tags

CCSS.8.EE.C.7B

Caleb and Luke are playing a video game. Luke has scored fifteen less than twice the number of points that Caleb scored. If they have 201 points altogether, then how many points has Luke scored?

• 216

• 72

• 129

• Not enough information

Alec is seven years younger than his brother Ethan. If Alec is 24 years old, how old is Ethan?

• 31

• 17

• 16

• 30

Jane used $68 dollars more than two-fifths of her last paycheck to purchase a new surfboard. If the surfboard cost $289, find the amount of her paycheck.

• $221.00

• $552.50

• $357.00

• $88.40