Free Printable MATH 9 SELF LEARNING ASSESSMENT (1ST QUARTER)

1.

What is the equation that is also called second degree equation?

a)

Linear Equation

b)

Cubic Equation

c)

Polynomial Equation

d)

Quadratic Equation

2.

What is the quadratic equation if a = 2, b = –3 and c = –6?

a)

x² – 3x – 6 = 0

b)

2x² – 3x – 6 = 0

c)

3x² + 2x + 6x = 0

d)

2x² + 3x + 6 = 0

3.

What is the factor of x² – 9x + 20 = 0?

a)

(x – 10) (x + 2) = 0

b)

(x + 4) (x + 5) = 0

c)

(x – 4) (x – 5) = 0

d)

(x + 4) (x – 4) = 0

4.

Which equations can be solved by the Square Root Principle?

I. x² = 100 II. x² = 10

III. (x – 10)² = 25 IV. x² – 10x = 0

a)

I, II, III

b)

I, II, IV

c)

I, III, IV

d)

II, III, IV

5.

Which of the following is the quadratic formula?

a)

b)

c)

d)

6.

What number must be added to both sides of the equation, x² – 7x = 8 to complete the perfect square

trinomial on the left side of the equation?

a)

49

b)

64

c)

\frac{49}{2}

d)

$\frac{49}{4}$

7.

What is the discriminant of

5x^2=3x+2?

a)

49

b)

-49

c)

7

d)

$\sqrt{7}$

8.

If the roots of a quadratic equation are two real, irrational and unequal, which of the following could be the value of its discriminant?

a)

25

b)

31

c)

0

d)

-16

9.

What must be the value of the discriminant so that the roots of a quadratic equation are not real?

a)

Zero

b)

Negative

c)

Positive and perfect square

d)

Positive and perfect square

10.

Describe the discriminant in the equation

4x^2-9=0

a)

Real, Rational, Unequal

b)

Real, Irrational, Unequal

c)

Real, Rational, Equal

d)

Non-real

11.

Which of the following should you use to find the sum of the roots of the quadratic equation?

a)

$\frac{b}{a}$

b)

$-\frac{b}{a}$

c)

$\frac{c}{a}$

d)

$-\frac{c}{a}$

12.

What is the product of the roots of

2x^2=x+7?

a)

2

b)

$\frac{2}{7}$

c)

$-\frac{1}{2}$

d)

$-\frac{7}{2}$

13.

The sum and product of the roots of a quadratic equation are -3 and -28, respectively. Find the equation.

a)

$x^2+3x+28=0$

b)

$x^2-3x+28=0$

c)

$x^2-3x-28=0$

d)

$x^2+3x-28=0$

14.

If the roots are 0 and 2 what is the quadratic equation?

a)

$x^2-2x=0$

b)

$x^2+2x=0$

c)

$x^2-2=0$

d)

$x^2-2x+2=0$

15.

Which of the following should be multiplied to both sides of the equation

\frac{x}{3}-\frac{5}{x}=4

to solve for the value of the variable x?

a)

x

b)

3x

c)

4x

d)

12x

16.

What is the standard form of

\frac{x}{x+3}-\frac{2}{x+5}=0?

a)

$x^2+3x-6=0$

b)

$x^2+3x+6=0$

c)

$x^2-3x-6=0$

d)

$x^2-3x+6=0$

17.

Solve for the roots of the equation

x+\frac{1}{x}=2.

a)

0

b)

1

c)

-1 and 1

d)

no solution

18.

Which value of x is not possible in the equation

\frac{3}{x-1}+\frac{x}{3}=1?

a)

0

b)

1

c)

-1

d)

3

19.

Which of the following has an extraneous root?

a)

$\frac{x^2}{x+2}=\frac{4}{x+2}$

b)

$\frac{x+1}{2}=\frac{2}{x+1}$

c)

$\frac{x+1}{4}=\frac{3}{x}$

d)

$\frac{x+3}{2}=\frac{x}{x-1}$

20.

One integer is 5 times another. If the product of two integers is 80, how would you represent the situation in terms of x?

a)

x(5x) = 80

b)

x + 5x = 80

c)

x + 5x = 80

d)

5x(x + 1) = 80

21.

It takes Yani 1 hour longer than Marlon to create handicrafts made from dried water lilies. They have been working together for 4 hours, then Yani left and Marlon finished it for 2 more hours. What part of the job did Marlon had finished?

a)

$\frac{4}{x}$

b)

$\frac{4}{x+1}$

c)

$\frac{6}{x}$

d)

$\frac{6}{x+1}$

22.

If it takes Nancy 30mins. longer than Digna to type a set of documents, what is Nancy’s rate (in job per hour) if Digna’s rate is x?

a)

$\frac{1}{x+30}$

b)

$x+30$

c)

$x-30$

d)

$\frac{1}{x-30}$

23.

The height of a right triangle is 3 meters more than the length of its base. If x = base with an area of 40 $m^2$ , which expression represents the height of the triangle?

a)

$x+3$

b)

$x-3$

c)

$3x$

d)

$3x^2$

24.

The height of a right triangle is 3 meters more than the length of its base. If x = base with an area of 40 m², how long is the base of the triangle?

a)

3m

b)

5m

c)

8m

d)

40m

25.

What do you call an inequality involving quadratic polynomial?

a)

Linear Inequality

b)

Quadratic Inequality

c)

Rational Inequality

d)

Quadratic Equation

26.

How do you write in mathematical symbols the statement “The product of 2x and (2 – x) is greater than seven”?

a)

$\left(2x\right)\left(2-x\right)<7$

b)

$\left(2x\right)\left(2-x\right)>7$

c)

$\left(2x\right)\left(2-x\right)\le7$

d)

$\left(2x\right)\left(2-x\right)\ge7$

27.

What is the solution set of

\left(x-4\right)\left(x-10\right)>0?

a)

(4, 10)

b)

[4, 10]

c)

$\left(-\infty,\ 4\right)\cup\left(10,\ +\infty\right)$

d)

$\left(-\infty,3\right]\cup\left[2,\ +\infty\right)$

28.

What is the solution set of

a)

$\left(-3,\ 2\right)$

b)

$\left[-3,\ 2\right]$

c)

$\left(-\infty,\ -3\right)\cup\left(2,\ +\infty\right)$

d)

$\left(-\infty,\ -3\right]\cup\left[2,\ +\infty\right)$

29.

One of the leg of a right triangle is 7cm shorter than the other leg, if the hypotenuse is at least 13cm,

note: $\left(longer\ leg\right)^2+\left(shorter\ leg\right)^2=\left(Hypotenuse\right)^2$ , what is the quadratic inequality represented by the given information?

a)

$\left(x-7\right)^2+\left(x\right)^2\ge\left(13\right)^2$

b)

$\left(x+7\right)^2+\left(x\right)^2\ge\left(13\right)^2$

c)

$\left(x-13\right)^2+\left(x\right)^2\le\left(7\right)^2$

d)

$\left(x-7\right)^2+\left(13\right)^2\le\left(x\right)^2$

30.

One of the leg of a right triangle is 7cm shorter than the other leg, if the hypotenuse is at least 13cm,
note: $\left(longer\ leg\right)^2+\left(shorter\ leg\right)^2=\left(Hypotenuse\right)^2,$
how long should be the possible shortest leg?

a)

-5cm

b)

5cm

c)

7cm

d)

12cm

31.

Which of the following situation shows parabolic scenario?

a)

A basketball player shooting ball on the ring

b)

A diver doing his tricks

c)

A jeepney driver making a U-turn slot.

d)

All of the choices

32.

What do you call the graph of a quadratic function?

a)

Straight Line

b)

Circle

c)

Parabola

d)

Point

33.

Which of the following table of values represents a quadratic function?

a)

b)

c)

d)

34.

Which equation represents a quadratic function?

a)

$y\ =\ 5x\ +8$

b)

$y=-4x^2+3x-7$

c)

$y=x^3+2x^2-x+1$

d)

$y=25$

35.

What graph represents a quadratic function?

a)

b)

c)

d)

36.

Which of the following quadratic is written in general form?

a)

$y=\left(x+2\right)\left(x-3\right)$

b)

$y=2\left(x-1\right)^2-6$

c)

$y=x^2-x-6$

d)

$y=3x\left(x-2\right)+5$

37.

What is the $f\left(x\right)\ =\ -3\left(x+2\right)^2\ +2$ when written in general form $y\ =\ ax^2+bx+c?$

a)

$y=\ -3x^2+12x-10$

b)

$y=-3x^2+12x+10$

c)

$y=-3x^2-12x-10$

d)

$y=3x^2-12x-10$

38.

What is the y intercept in the function $y=x^2-5x+4?$

a)

-5

b)

0

c)

4

d)

5

39.

Observe carefully the figure at the left and then answer the questions that follow. What is the coordinates of the vertex?

a)

$\left(-4,\ -2\right)$

b)

$\left(-2,\ -4\right)$

c)

$\left(0,\ 0\right)$

d)

$\left(-4,\ 0\right)$

40.

Observe carefully the figure at the left and then answer the questions that follow. If the graph is reverse, what is the coordinates of the vertex?

a)

$\left(4,\ -2\right)$

b)

$\left(2,\ -4\right)$

c)

$\left(-2,\ 4\right)$

d)

$\left(-4,\ 2\right)$

41.

Observe carefully the figure at the left and then answer the questions that follow. What is the quadratic function of the graph in vertex form?

a)

$y=x^2$

b)

$y=x^2-4$

c)

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

d)

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

42.

Describe the translation of the graph of $y=x^2+5$ .

a)

The graph of $y=x^2$ moves 5 units to the left.

b)

The graph of $y=x^2$ moves 5 units to the right.

c)

The graph of $y=x^2$ moves 5 units up.

d)

The graph of $y=x^2$ moves 5 units down

43.

If h moves 3 units to the left and k moves 1 unit downward, what is the new function from $y=x^2$ ?

a)

$y=\left(x+3\right)^2-1$

b)

$y=\left(x-3\right)^2-1$

c)

$y=\left(x+3\right)^2+1$

d)

$y=\left(x-3\right)^2+1$

44.

What is the new function if the graph of $y=\left(x+4\right)^2$ moves 2 units to the left and 3 units downward?

a)

$y=\left(x+2\right)^2-3$

b)

$y=\left(x-2\right)^2-3$

c)

$y=\left(x+2\right)^2+3$

d)

$y=\left(x+6\right)^2-3$

45.

Where does the graphs of $y=-5x^2-1$ and $y=-0.25x^2-1$ differ?

a)

Vertical Shifting

b)

Reflection

c)

Horizontal Shifting

d)

Opening of the graph

46.

If we add 4 units to both h and k in the function $y=\left(x-3\right)^2+2$ , describe the changes in $y=x^2$ .

a)

moves 1 unit to the left and 2 units up

b)

moves 7 units to the right and 6 units down

c)

moves 1 unit to the right and 2 units up

d)

moves 7 units to the left and 6 units up

47.

What is the coordinate of the y-intercept in the table of values below?

a)

$\left(0,\ 13\right)$

b)

$\left(4,\ 13\right)$

c)

$\left(1,\ 7\right)$

d)

$\left(3,\ 7\right)$

48.

Which graph has an equation

y = x² + 8x + 7?

a)

b)

c)

d)

49.

The sum of numbers is 9. The sum of the squares of the numbers is 41. Find the numbers.

a)

4 and 5

b)

3 and 6

c)

2 and 7

d)

1 and 8

50.

The length of a rectangle 5 cm more than its width and the area is 50cm². Find its perimeter.

a)

5cm

b)

10cm

c)

20cm

d)

30cm

MATH 9 SELF LEARNING ASSESSMENT (1ST QUARTER)

Total questions: 50

Worksheet time: 2hrs 34mins

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