Free Printable Quiz 2-2

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Quiz 2-2

Total questions: 62

Worksheet time: 4hrs 37mins

Name

Class

Date

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

h = 2C + 15

C = 15h + 2

h = 15C + 2

C = 2h + 15

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

C = 15 + 0.20x

C =15 (0.20x)

C = 15 + x + 0.20

C = 0.20 + 15x

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

y = 15x + 40

y = 40x + 15

y = 15x

y = 15x - 40

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

y = 12.50 + 30x

y = 30 + 12.50x

y = 12.50 + 30

12.50x = 30

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

c = 0.12m + 8m

c = 8m + 0.12m

c = 0.12m + 8

c = 0.20m

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

y = -50x + 90

y = 90x + 50

y = -90 - 50x

y = 50 - 90x

A man is climbing down from 100 feet high descending 30 feet per minute.

y = 100 - 30x

y = 100 + 30x

y = 100x + 30

y = 100x - 30

Amy wants to buy soda AND pizza for her Halloween party. She has $45 to spend. One case of soda costs $4, and one pizza costs $8. Write an equation that could be used to find a valid combination for many pizzas and cases of soda can she afford.

4x + 8y = 12

4x - 8y = 45

12xy = 45

4x + 8y = 45

A car is driving down from the top of a Colorado mountain. The elevation at the top of the mountain is 13,500 feet. Every minute of driving, the car’s elevation decreases by 150 feet. Write an equation to represent the given situation.

y = 150x - 13,500

y = 13,500 - 150x

y= 150x + 13,5000

y = -150x - 13,500

10.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 2.75 represent?

The total cost of the fixed fee plus charge per mile

The charge per mile

Miles

The fixed fee

Karma

11.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does x represent?

The total cost of the fixed fee plus charge per mile

The charge per mile

Miles

The fixed fee

Karma

12.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 4.25 represent?

The total cost of the fixed fee plus charge per mile

The charge per mile

Miles

The fixed fee

Karma

13.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does f(x) represent?

The total cost of the fixed fee plus charge per mile

The charge per mile

Miles

The fixed fee

Karma

14.

What is the solution of the graph?

(4, 2)

(0, 6)

(0, 3)

(2, 4)

15.

Solve the system:

x+y=5

-3x-3y=2

(-1,4)

(0,0)

All Real Numbers

No Solution

16.

Solve the system:

2x+y= -1

-4x+6y=42

(a)

17.

Solve the system:

2x+3y=1

-x+y= -3

(a)

18.

Which ordered pair is the solution of the system graphed below?

(2, 0)

(8, 0)

(-3, 5)

(3, 8)

19.

Graph the system of equations.

$y=-x+5$
$y=6x-2$

20.

Graph the system of equations. $-8x-10=y$
$-4x+y=2$

21.

Which of the following graphs best represents a system of equations that has no solution?

22.

Which graphed system of equations below has infinite solutions?

23.

Write the solution to this system of equations as a coordinate pair, (x,y) with no spaces

7x + 2y = -5

-7x + 5y = 12

(a)

24.

Write the solution to this system of equations using a coordinate pair, (x,y), with no spaces.

y = -4x

-2x + y = -6

(a)

25.

Solve this system of equations.
y = 2x + 1
y = 4x - 1

(1,3)

(-1,-3)

(-1,3)

(3,1)

26.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

(-2, -1)

(1, -2)

(-2, 1)

(-1, -2)

27.

Solve:
y = 2x -11
-3y = -6x -15

(-1.5,-4)

(1.5,4)

No solution (parallel lines)

Infinitely many solutions

28.

x + 2y = 2
x = -4y + 2

(-3, 0)

(0, 2)

(-3, -2)

(2, 0)

29.

y = -2x + 18
y = 8

(5, 8)

(-5, 8)

(2, 8)

(-2, 8)

30.

3x + 2y = 8
-x + y = -11

(-5,6)

(6,-11)

(-6,-5)

(6,-5)

31.

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

(-2,5)

(-2,-5)

(2,-5)

(2,5)

32.

Solve for x and y.
3x+y=-5
6x+2y=10

No Solution

Infinite Number of Solutions

(2,3)

(6,-2)

33.

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

(1.4, -0.3)

(3.1, 5)

(-2.5, 3.5)

(6.9, 1.02)

34.

Which variable has opposite coefficients?
7x + 3y = -10
-7x + 2y = -30

-30

35.

In this linear system, what variable will cancel out?
x + y = 8
x - y = 6

36.

Now we know y= -2. Substitute into both equations to find x.
-2x - 8y = 10
2x - 6y = 18

x = - 3

x = 3

x = 13

x = 15

37.

Solve this system of equations, step by step.
-5x - 4y = -15
-x + 4y = -3
What is the result if you add these equations together?

-4 x = - 12

-4x = 12

-6x = -18

-6x = 18

38.

Write the solution for the system of equations
-5x - 4y = -15
-x + 4y = -3

(-3. 0)

(0, -3)

(3, 0)

(-3, 0)

39.

Write the solution for the system of equations
3x + 2y = -12
4x - 2y = -2

(-2, -3)

(-2, 3)

(2, -3)

(2, 3)

40.

-4x - 6y = 6
4x + 6y = -4

no solutions

infinite solutions

(0, -2)

two solutions

41.

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(0, 1)

42.

When you graph the exact same equation twice,

you will have no solution.

you will have one solution.

you will have infinite solutions.

you will graph a giraffe.

43.

Select the correct graph for each inequality.

44.

Select the correct graph for each inequality.

45.

Select the correct graph for each inequality.

46.

Select the correct graph for each inequality.

47.

Select the correct graph for each inequality.

48.

Select the correct graph for each inequality.

49.

Which of the following equations match the given graph?

x ≥ -1

x ≤ -1

x > -1

x < -1

50.

Select the correct graph for each inequality.

51.

Which of the following equations match the given graph?

y ≥ 2/5x + 1

y ≥ -2/5x + 1

y≤ 2/5x + 1

y ≥ -2/5x - 1

52.

Select the correct graph for each inequality.

53.

When graphing an inequality, you use a dotted line when you use which symbol?

<, >

≤, ≥

54.

When you graph an inequality, you used a solid line when you use which symbols?

≤, ≥

<, >

55.

Which of the following is a solution to the systems of inequalities?

(0, 0)

(-3, 0)

(2, -5)

(3, -1)

56.

Which of the following is NOT a solution to the systems of inequalities?

(0, 0)

(3, -2)

(3, -4)

(4, -4)

57.

Which of the following is a solution to the systems of inequalities?

(0, -2)

(-3, 0)

(-3, 2)

(1, 1)

58.

Solve the system of inequalities by graphing.

59.

Solve the system of inequalities by graphing.

60.

Which system of linear inequalities is represented by the graph?

y≤2x-1
y>-2x+3

y>2x-1
y≤-2x+3

y<2x-1
y≥-2x+3

y≤2x-1
y>2x+3

61.

Match the system to the graph (solution set is on the left)

y ≤ 3x and y ≤ -2x + 4

y > 3x and y > -2x + 4

y < 3x and y > -2x + 3

y > 3x and y < -2x + 4

62.

This system has an infinite number of solutions, TRUE or FALSE?

TRUE

FALSE

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Quiz 2-2

Total questions: 62

Worksheet time: 4hrs 37mins

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