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- 1. Multiple Choice
Does the following system have One Solution, No Solution, or Infinite Solutions.
y = 4x + 8
y = -5x + 3
One solution
No solution
Infinite solution
many solutions
- 2. Multiple Choice
Parallel lines have the same slope with a different y-intercept and how many solutions?
One
No
Infinite
Many
- 3. Multiple Choice
Shreyas graphed two lines in order to find the solution to a given system of equations.Then the solution is......
(-1, 4)
(1, -4)
(-4, 1)
(4, -1)
- 4. Multiple Choice
Solve for x and y
y = 2x + 1
y = 4x - 1
(1,3)
(-1,-3)
(-1,3)
(3,1)
- 5. Multiple Choice
There are 50 Donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
d + c = 174
4d + 2c = 50
d + c = 50
4d + 2c = 174
d + c = 50
2d + 4c = 174
d + c = 174
2d + 4c = 50
- 6. Multiple ChoiceSolve for x and y
3x + 2y = 16
7x + y = 19(-2,5)(-2,-5)(2,-5)(2,5) - 7. Multiple ChoiceWhat is the solution to the system?
8x + 4y = 12
y = -2x + 3(0,3)(3,0)No solution(parallel lines)Infinitely many solutions - 8. Multiple ChoiceWhich of the following are ways to solve systems of equations?GraphingSubstitutionEliminationAll of the above
- 9. Multiple Choice
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
yes
no
do not know
may be
- 10. Multiple Choice
Anjali finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
45 minutes
90 minutes
60 minutes
30 minutes
- 11. Multiple Choice
Solve by the
Elimination method:
3x + y = -2
2x + y = 3
(-5, 13)
(13, 5)
(5, -13)
(-13,5)
- 12. Multiple Choice
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4
- 13. Multiple Choice
Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0
(−6, −4)
Infinite number of solutions
(−6, 10)
(6, 4)
- 14. Multiple ChoiceSolve the system of equations by substitution.
y = -4x + 5
y = 3x - 16(-3, -25)(3,-7)(11, 17)(21, 47) - 15. Multiple Choice
Which system of equations does NOT have the same solution as the system below?
- 16. Multiple Choice
How many solutions are there to the following system of equations?
One Solution
No Solution
Infinite Solutions
Many solutions
- 17. Multiple Choice
How do we know if a system of equations has no solution?
The lines are not in slope-intercept form (y=mx+b)
The lines have the same slope and y-intercept
The lines are perpendicular
The lines are parallel
- 18. Multiple Choice
Which of these systems has an infinite number of solutions?
- 19. Multiple Choice
Is (-1,5) a solution to this system of equations?
- 20. Multiple ChoiceGraphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which areintersecting at exactly one pointintersecting at exactly two points.coincident.parallel.
- 21. Multiple ChoiceWhat is the solution(s) for the following intersection of two lines?(-1,-1)(-1,1)(1, 1)(1, -1)
- 22. Multiple Choice
A fruit seller sells apples at rupees 2 each and oranges at rupees 4 each. On Monday, his sold a total of 57 fruits and earned a revenue of rupees 158. Find out the total number of apples sold on Monday.
35
15
22
43
- 23. Multiple Choice
Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.
40
50
60
70
- 24. Multiple Choice
8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.
120, 130
140,280
240,280
100,120
- 25. Multiple Choice
The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number.
46
48
64
84
- 26. Multiple Choice
A fraction becomes . when subtracted from the numerator and it becomes . when 8 is added to its denominator. Find the fraction.
- 27. Multiple Choice
Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.
20
50
60
40
- 28. Multiple Choice
What will be the solution of these equations ax+by=a-b, bx-ay=a+b
x=1, y=2
x=2,y=-1
x=-2, y=-2
x=1, y=-1
- 29. Multiple Choice
If x=a, y=b is the solution of the pair of equation x-y=2 and x+y=4 then what will be value of a and b
2,1
3,1
4,6
1,2
- 30. Multiple Choice
Shashank can row downstream 20 km in 2 hours, and the upstream 4 km in 2 hours. What will be the speed of rowing in still water?
6 km/hr
4 km/hr
3 km/hr
7 km/hr
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