14 Questions
| Total Attempts: 237

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.- Write an equation to represent the cost at each studio.
- Solve the system
- 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*+ 3*b*= 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 2*x*+*y*= 8 and*x*− 3*y*= −3?- A.
-2

- B.
2

- C.
3

- D.
-3

- 13.What is the solution of the system of equations
*c*+ 3*d*= 8 and c = 4*d*− 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

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