Chapter 6 Section 1 – Choose the Correct Solution Worksheet

Name______Date______pd______

Problem / Write the system of equations / Is this a solution? / Is this a solution?
  1. The perimeter of a rectangular deck is 175 feet. The length of the deck, l, is 6 feet longer than 2 times the width, w.
(hint: P=2l + 2w) / ____ l + ____ w = _____
____ l = ____ + ____w / Width is 27
Length is 60
Yes or No / Width is 60
Length is 27
Yes or No
  1. The Mendez family is going to see a play. Adult tickets cost $9 and children’s tickets cost $6. There are 6 people in the family, and they spend a total of $48 on tickets.
/ _____ a + _____ c = ______
_____ a + _____ c = ______/ 4 Adult tickets
2 Children tickets
Yes or No / 2 Adult tickets
4 Children tickets
Yes or No
  1. A box contains 22 coins, consisting of quarters and dimes. The total value of the coins is $3.55.
/ 9 Quarters
13 Dimes
Yes or No / 13 Quarters
9 Dimes
Yes or No
  1. When chipping for school supplies for her children, Mrs. Michaels bought 2 sets of markers and 3 binders for a total cost of $12. Mrs. Laurence bought 6 of the same sets of markers and 2 of the same binder for a total cost of $15.
/ $3.00 markers
$1.50 binders
Yes or No / $1.50 markers
$3.00 binders
Yes or No
  1. At the bulk foods store, cashews cost $5.00 per pound and pecans cost $7.00 per pound. Julian bought a 3-pound mixture of cashews and pecans for $19.00.
/ _____ C + _____ P = ______
_____ C + _____ P = ______/ 1 lb Cashews
2 lbs Pecans
Yes or No / 2 lbs Cashews
1 lb Pecans
Yes or No
  1. Clarence bought cupcakes for $1.50 each and donuts for $1.00 each for a total of $24.00. He purchase a total of 18 donuts and cupcakes.
/ _____ C + _____ D = ______
_____ C + _____ D = ______/ 6 Cupcakes
12 Donuts
Yes or No / 12 Cupcakes
6 Donuts
Yes or No
  1. The perimeter of a rectangular garden is 100 feet. The length of the garden is 5 feet longer than 2 times the width.
/ Length is 35
Width is 15
Yes or No / Length is 15
Width is 35
Yes or No
  1. A history test has 30 questions worth a total of 250 points. Every question is either multiple-choice or true-false. The true-false questions are worth 5 points each. The multiple-choice are worth 10 points each.
/ 10 Multiple Choice
20 True False
Yes or No / 20 Multiple Choice
10 True False
Yes or No