Solving Systems Of Equations Test

14 Questions | By Pbenanti | Updated: Mar 21, 2022 | Attempts: 284

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Questions and Answers

1.

Explain how you can tell if a system has no solution.
2.

Explain how you can tell is a system has infinitely many solutions.
3.

A rectangular park is three blocks longer than it is wide. The perimeter of the park is 26 blocks. If w represents the width, write an equation in terms of w for the perimeter of the park. Find the length and the width of the park.
4.
Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B rents for $150 and $50 an hour. Let t = the number of hours and c = cost.
1. Write an equation to represent the cost at each studio.
2. Solve the system
3. Explain what the solution to the system means in terms of where your band will rent a studio.
5.

Solve the system:5x + 4y = 495x – 4y = 1
- A.
  
  (5,6)
- B.
  
  (6,5)
- C.
  
  (-5,-6)
- D.
  
  (-6,-5)
6.

Solve the system:5x + y = 10x + 3y = -26
- A.
  
  (-52.25,8.75)
- B.
  
  (4,-10)
- C.
  
  Infinitely many solutions
- D.
  
  No solution
7.

Solve the system:3x + 5y = 62x + 5y = 4
- A.
  
  (5,10)
- B.
  
  (1,0)
- C.
  
  (2,0)
- D.
  
  No Solution
8.

If a + 3b = 13 and a + b = 5, the value of b is
- A.
  
  1
- B.
  
  7
- C.
  
  4.5
- D.
  
  4
9.

What is true of the graphs of the two lines 2x – 2y = 6 and 2x + 3y = 21?
- A.
  
  No Solution
- B.
  
  Intersect at (3,6)
- C.
  
  Intersect at (6,3)
- D.
  
  Infinitely many solutions
10.

What is true of the graphs of the two lines 2x + 3y = 6 and -6x – 9x = -18?
- A.
  
  No Solution
- B.
  
  Intersect at (-4,-6)
- C.
  
  Intersect at (0,0)
- D.
  
  Infinitely many solutions
11.

What is true of the graphs of the two lines -5x + 5y = -50 and 4x + 3y = 26?
- A.
  
  No Solution
- B.
  
  Intersect at (8,-2)
- C.
  
  Intersect at (-1,8)
- D.
  
  Infinitely many solutions
12.

What is the value of the y-coordinate of the solution to the system of equations 2x + y = 8 and x − 3y = −3?
- A.
  
  -2
- B.
  
  2
- C.
  
  3
- D.
  
  -3
13.

What is the solution of the system of equations c + 3d = 8 and c = 4d − 6?
- A.
  
  C = −14, d = −2
- B.
  
  C = −2, d = 2
- C.
  
  C = 2, d = 2
- D.
  
  C = 14, d = −2
14.

Alexandra purchases two doughnuts and three cookies at a doughnut shop and is charged $3.30. Briana purchases five doughnuts and two cookies at the same shop for $4.95. All the doughnuts have the same price and all the cookies have the same price. Find the cost of one doughnut.
- A.
  
  $0.60
- B.
  
  $0.75
- C.
  
  $1.35
- D.
  
  $1.50