Systems of Equations Review

1.

Multiple Choice

3 mins

1 pt

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?

21

8

13

21

2.

Multiple Choice

2 mins

1 pt

What is the solution to this system of equations?
10x - y = 53
y = (-13x + 92) / 2

(6 , 7)

(2 , 33)

(7, 6)

(33 , 2)

3.

Multiple Choice

2 mins

1 pt

One wall of a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?

90 pairs of walking shoes and 45 pairs of running shoes

54 pairs of walking shoes and 81 pairs of running shoes

45 pairs of walking shoes and 90 pairs of running shoes

81 pairs of walking shoes and 54 pairs of running shoes

4.

Multiple Choice

1 min

1 pt

What is the solution?

One Solution

No solution

Infinitely Many Solutions

(0, -1.5)

5.

Multiple Choice

3 mins

1 pt

What is the value of x in the solution to this system of equations?
3x = 2y + 14
y = - 6x + 18

10/3

2

-2

-10/3

6.

Multiple Choice

2 mins

1 pt

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

perpendicular lines

2 of the same line

7.

Multiple Choice

15 mins

1 pt

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

(5,-2)

(5, 2)

(2,3)

(3,2)

8.

Multiple Choice

15 mins

1 pt

What is the solution?
3x + 2y = 12
2x - 2y = 18

(3, 4)

(9, -2)

(6, -3)

(6, 3)

9.

Multiple Choice

15 mins

1 pt

What is the solution?
3x + 2y = 12
3x + 2y = 18

(3, 4)

Infinitely Many Solutions

No Solution

(6, 3)

10.

Multiple Choice

15 mins

1 pt

What is the solution?
3x + 2y = 12
3x + 2y = 12

(3, 4)

Infinitely Many Solutions

No Solution

(6, 3)

11.

Multiple Choice

1 min

1 pt

What is the solution to the system of equations?
4x − 7y = − 2
8x − 14y = − 8

(-1/2 , 0)

(0 , 2/7)

There are infinitely many solutions.

There is no solution.

12.

Multiple Choice

3 mins

1 pt

Solve the system:
x-y=11
2x+y=19

(10,-1)

(-1,10)

(-1,-10)

(-10,-1)

13.

Multiple Choice

3 mins

1 pt

Solve the system:
−2x − 3y = -5
4x + 6y = 10

(−6, −4)

Infinitely many solutions

(−6, 10)

(6, 4)

14.

Multiple Choice

3 mins

1 pt

Solve the system:
2x + 3y = 8
4x + 6y = 16

(−6, −4)

Infinitely many solutions

(−6, 10)

(6, 4)

15.

Multiple Choice

3 mins

1 pt

Solve the system:
4x + 7y = -10
4x + 7y = 10

No Solution

Infinitely many solutions

(0,0)

(4, 4)

16.

Multiple Choice

3 mins

1 pt

What is the solution?
y + 2 = 2/3x
y + x = 3

(0,3)

(0,-3)

(3,0)

(-3,0)

17.

Multiple Choice

3 mins

1 pt

Solve the system of equations:
5x - 4y = -15
y = -4x - 12

(3, 0)

(-3, 0)

(3, 24)

(-3, 24)

18.

Multiple Choice

3 mins

1 pt

How many cases of chocolate bars will this company need to sell in order for costs and revenue to be equal?

3,500

6,000

35,000

60,000

19.

Multiple Choice

2 mins

1 pt

Solve the system of equations.
y = 4x+1
3x + 2y = 13

(1, 5)

(5, 1)

(0.25, 2)

∅

20.

Multiple Choice

2 mins

1 pt

2x - 4y = - 24
-2x + 2y = 12

(2,-8)

(-8,2)

(0,6)

(6,0)

21.

Multiple Choice

30 sec

1 pt

This system has _____ solutions

No Solutions

1

2

Infinitely many

22.

Multiple Choice

15 mins

1 pt

Solve the system:

(3, -2)

(3, -3)

(-3, 2)

(-3, -2)

23.

Multiple Choice

15 mins

1 pt

Solve the system:

Infinite number of solutions

(3, 3)

(3, -3)

(-3, 3)

24.

Multiple Choice

15 mins

1 pt

Solve the following system:

(-2, -4)

(2, -4)

(-2, 4)

(2, 4)

25.

Multiple Choice

15 mins

1 pt

Solve the system:

(-4, 2)

(4, 2)

(2, -4)

(2, 4)

26.

Multiple Choice

15 mins

1 pt

Solve the following system:

(1, 2)

(-1, 2)

(2, 1)

(2, -1)

27.

Multiple Choice

15 mins

1 pt

What is the solution?

(3, -1)

(-1, -3)

(-1, -1)

(-1, 3)

28.

Multiple Choice

15 mins

1 pt

What is the solution?

(1, -5)

(-5, 1)

(-4, 1)

No solution

29.

Multiple Choice

3 mins

1 pt

What is the value of x in the solution to the system of equations below?
6x + 3y = 13
3x − y = 4

1

5/3

8/3

7/3

30.

Multiple Choice

15 mins

1 pt

A bag contains 18 coins, quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

0.10q + 0.25d = 2.85
q + d = 18

0.10q + 0.25d = 18
q + d = 2.85

0.25q + 0.10d = 2.85
q + d = 18

0.25q + 0.10d = 18
q + d = 2.85

31.

Multiple Choice

15 mins

1 pt

A spiral contains 30 more sheets of paper than a memo book. The total number of sheets of paper in 3 spirals and 5 memo books is 810. Write a system of equations can be used to find s, the number of sheets in one spiral, and m, the number of sheets in one memo book.

s-m=30
3s+5m=810

s+m=30
3s+5m=810

s-m=30
5s+3m=810

s+m=30
5s+3m=810

32.

Multiple Choice

5 mins

1 pt

The owner of a clothing store buys T-shirts for c dollars each and sells them for p dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a profit of $2,800. This month she bought 400 T-shirts and sold them all and made a profit of $2,400. Which system of equations can be used to determine the values of c and p?

500p - 600c = 2800
400p - 400c = 2400

600p - 500c = 2800
400p - 400c = 2400

500p - 600c = 2800
400p - c = 2400

600p - 500c = 2800
400p - c = 2400

33.

Multiple Choice

5 mins

1 pt

Solve for x and y
y = 2x + 1
2y + 2 = 8x

(1,3)

(-1,-3)

(-1,3)

(3,1)

34.

Multiple Choice

5 mins

1 pt

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

35.

Multiple Choice

30 sec

1 pt

Which has no solution?

Graph A

Graph B

Graph C

Graph D

36.

Multiple Choice

1 min

1 pt

If a system of linear equations has exactly one solution, what does this mean about the two lines?

The lines are parallel.

The lines are the same line.

The lines intersect.

37.

Multiple Choice

2 mins

1 pt

Which graph shows direct variation?

A

B

C

D

38.

Multiple Choice

5 mins

1 pt

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

$394

$440

$472.80

$512.20

39.

Multiple Choice

3 mins

1 pt

On a treasure map, the actual distance varies directly with the scaled distance. If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

27 cm

675 cm

529 cm

32 cm

40.

Multiple Choice

30 sec

1 pt

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. The number of gallons varies directly with the number of loads washed. What is the constant of variation?

k = 13

k = 65

k = 5

k = 1/13

41.

Multiple Choice

30 sec

1 pt

Which system is represented by the given tables?

y = - x + 5
y = - 2x + 8

y = x + 5
y = 2x + 8

y = x + 5
y = - 2x + 8

y = - x + 5
y = 2x + 8

42.

Multiple Choice

30 sec

1 pt

Which of the following systems could be used to find two numbers whose sum is 108 and whose difference is 18?

x + y = 108
x - y = 18

x + y = 18
x - y = 108

xy = 108
x - y = 18

x + y = 108
x ÷ y = 18

43.

Multiple Choice

15 mins

1 pt

Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.

0.98 weak

0.99 moderate

0.99 strong

0.98 strong

44.

Multiple Choice

30 sec

1 pt

Describe the correlation in the graph shown.

Strong Negative

Strong Positive

Weak Negative

Weak Positive

45.

Multiple Choice

30 sec

1 pt

What type of correlation does this graph show?

Positive

negative

none

curved

46.

Multiple Choice

30 sec

1 pt

Describe the correlation in the graph shown.

Strong Negative

Strong Positive

Weak Negative

Weak Positive

47.

Multiple Choice

30 sec

1 pt

Describe the correlation in the graph shown.

No Correlation

Strong Negative

Weak Positive

Weak Negative

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