Free Printable SECOND QUARTER TEST PART 2

Worksheets

SECOND QUARTER TEST PART 2 - MATHEMATICS 9

Total questions: 50

Worksheet time: 1hrs 15mins

Name

Class

Date

The amount of money earned on a job is directly proportional to the number of hours worked. If P120.00 is earned in 5 hours, how much money is earned in 18 hours of work?

P308

P432

P265

In a direct variation, y=48 when x=6. Find the value of y when x=2.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns P187.15, what should she earn if she worked 40 hours?

P394

P440

P472.80

P512.20

In a direct variation, y=39 when x=3. Find the value of y when x=2.

58.5

The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?

50 kg water

72 kg water

94 kg water

150 kg water

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

y=1344x

y=100x

y=5.25x

y=4/21x

y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

y=32x

y=16x

y=2x

y=(1/2)x

What does the Direct Variation Equation look like?

Y= kx

y = mx + b

y = b

y = x

If y =4 when x = -4, find y when x =7.

y= x, 7

y= -x; 7

y = -x; -7

y= x; -7

10.

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?

k = 13

k = 65

k = 5

k = 1/13

11.

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?

y = 10x

y = 2x

y = 5x

y = 1/5x

12.

If y vaires directly with x and y= 12 when x= 15. What is the value of x when y= 16?

12.8

11.25

13.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

58.5

14.

if y is directly proportional to x, y is 10 when x is 3. What is the value of y when x is 5?

16 2/3

1.5

15.

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6.

y=20x

y=84x

y=7/3x

y=3/7x

16.

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

y=1344x

y=100x

y=5.25x

y=4/21x

17.

In a direct variation, y = 124 when x = 8.

Find the value of y when x = 2.

18.

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

x = -7

x = -2.3

x = 2.3

x = 7

19.

The amount of money earned on a job is directly proportional to the number of hours worked. if P36 is earned for 8 hours of work, how much is earned for 30 hours of work?

135

6.667

1080

480

20.

The amount of money earned on a job is directly proportional to the number of hours worked. If P70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

P308

P1.57

P265

21.

Find the unit rate: P3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

P1.00 per pound

P3.60 per pound

P1.20 per pound

P1.10 per pound

22.

What is the vertex form for a vertex of (-3,-5) and when a=-2?

y = -2(x-3)²+5

y = -2(x+3)²+5

y = -2(x+3)²-5

23.

What is the axis of symmetry of the given function?

y = 1

y = -1

x = 1

x = -1

24.

Identify the vertex and whether the graph opens up or down.

(-1, 4); opens up

(-1, 4); opens down

(1, 4); opens up

(1, 4); opens down

25.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

y = -2

x = 3

x = -3

y = 2

26.

What is the constant that should be added to the expression to complete the square: x²+16x

27.

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

28.

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

x = - 2 or x = 3

x = 2 or x = -3

The are no real roots

x = 2 or x = 3

29.

Convert to vertex form:
f(x) = x² + 10x + 24

f(x) = ( x - 5 )² + 1

f(x) = ( x + 5 )² - 1

f(x) = ( x - 5 )² - 1

f(x) = ( x + 5 )² + 1

30.

Which of the following equation represents a quadratic function?

$y=2x+1$

$y=x^2+2x-3$

$y>3x\ +\ 4$

$y\ \le x^2\ +\ 3x\ -1$

31.

The axis of symmetry line passes through which point?

y-intercept

any random point

vertex

symmetrical point for the vertex

32.

Identify the vertex and whether the graph opens up or down.

(5, 2); opens up

(5, 2); opens down

(-5, 2); opens up

(-5, 2); opens down

33.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

y = -2

x = 3

x = -3

y = 2

34.

Which equation has a vertex of (-3, 4)?

y = 2(x+3)²+ 4

y = (x+3)² - 4

y = (x-3)² + 4

y = 2(x - 3)² + 4

35.

The graph of a quadratic function is called a

Parabola

Vertex

Axis of Symmetry

Vertex Form

36.

Solve the inequality.
x + 5 ≤ 13

x ≥ 8

x ≥ 18

x ≤ 8

x ≤ 18

37.

6x² - 54 ≤ 0

-3 ≤ x ≤ 3

x ≤ -3 or x ≥ 3

-3 < x < 3

x < -3 or x > 3

38.

Which of the following odes not belong to the group?

x² - 3x + 4 > 0

2x² > 4

x² + 6x < 3

x³ + 4x + 8 < 0

39.

x² + 9x + 13 > −7 , is

Quadratic inequality

Not quadratic inequality

40.

3x − 2 ≥ x − 6 , is

Quadratic inequality

Not quadratic inequality

41.

What is the vertex of the function on the graph?

(0,5)

(1,0)

(3,-4)

(5,0)

42.

What is the equation for the line of symmetry?

y = 1

x = 5

y = 0

x = 3

43.

What is the concavity of the quadratic?

Down

Left

Right

44.

Which of these parabolas has a vertex at (2, -4)?

$y=-2\left(x+2\right)^2+4$

$y=\frac{1}{2}\left(x-2\right)^2-4$

$y=4\left(x-2\right)^2+4$

$y=\left(x-4\right)^2+2$

45.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

58.5

46.

Which of the following represents direct variation?

y = kx

y = k/x

y = x/k

y = mx + b

47.

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads?

60 gallons

780 gallons

156 gallons

12/13 gallons

48.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

$308

$1.57

$265

49.

Johnny's monthly commission as a sales representative in an appliances center is directly proportional to the amount of sales he makes. He gets a commission of P6,000 when he sells P 85,000 worth of appliances. If he intends to earn a commission of P42,000, How much worth of appliances must he sell?

P425,000

P595,000

P635,000

P395,000

50.

The distance that a falling body has travelled varies directly with the square of the length of time it has fallen. If the constant of variation is approximately 16, what is the distance travelled by the falling object after 10 seconds.

160

1600

16,000

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SECOND QUARTER TEST PART 2 - MATHEMATICS 9

Total questions: 50

Worksheet time: 1hrs 15mins

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