Free Printable Pre-test math 9

1.

Which of the following is a true example of quadratic equations?

a)

$x+y-4=0$

b)

$x^2+y^2-4=0$

c)

$x^3+4=0$

d)

$x=0$

2.

Using completing the square, what is the term to be added on both sides of x²- 10x = -24 to find its roots?

a)

5

b)

-5

c)

25

d)

-25

3.

Which of the following quadratic equations can be solved easily by extracting square root?

a)

$x^2+4x+4=0$

b)

$x^2-13x+36=0$

c)

$9x^2–25=0$

d)

$2x^2+19=0$

4.

Transform to standard form of quadratic equations $2x^2=-5+2x$

Transform to standard form of quadratic equations

a)

$2x^2+2x+5=0$

b)

$2x^2-2x+5=0$

c)

$2x^2-2x=-5$

d)

$2x^2+5=2x$

5.

Determine the discriminant of quadratic equation

x² – 4x -2 = 0

a)

-24

b)

24

c)

-36

d)

36

6.

If the product of two real numbers is zero, then either of the two is equal to zero or both numbers are equal to zero. What property is being described by the given statement?

a)

Zero Product Property

b)

Multiplication Property

c)

Trichotomy Property

d)

Distributive Property

7.

A 3 cm by 3 cm square piece of cardboard was cut from a bigger square cardboard. The area of the remaining cardboard was 40 cm². If s represents the length of the bigger cardboard, which of the following expressions give the area of the remaining piece?

a)

s – 9

b)

$s^2-9$

c)

$s2+9$

d)

$s2+40$

8.

The length of a garden is 5 m longer than its width and the area is 14 m². How long is the garden?

a)

9 m

b)

5 m

c)

7 m

d)

2 m

9.

In graphing the inequality x² + 2x - 8< 0, what kind of circles will be used?

a)

solid circle/shaded

b)

broken circle

c)

open or hollow circle

d)

none of the above

10.

What is the solution set of the inequality x² + 2x - 8< 0?

a)

{x/x <-4 }

b)

{x/x >2}

c)

{x/x < -4 or x> 2}

d)

{x/-4<x<2}

11.

Which of the following equations represents a quadratic function?

a)

$f(x)=2+2x^2$

b)

$2y^2+3=x$

c)

$y=3x-2^2$

d)

$y=2^x-3$

12.

The quadratic function is $f(x)=x^2+2x-1$ expressed in the standard form as

a)

$f(x)=(x+1)^2+1$

b)

$f(x)=(x+1)^2-2$

c)

$f(x)=(x+1)^2+2$

d)

$f(x)=(x+1)^2-1$

13.

he graph of y = x²– 3 is obtained by sliding the graph of y = x²

a)

3 units downward

b)

3 units upward

c)

3 units to the right

d)

3 units to the left

14.

A motorist drives a distance of d km in t hours. The formula that relates d to t is d= kt. What kind of variation is it?

a)

direct

b)

inverse

c)

joint

d)

combined

15.

Express as an equation where k is the constant of variation: The electrical resistance of a cable R varies directly as its length L and inversely as the square of its diameter D can be

a)

$R=kLD^2$

b)

$R=\frac{kL}{d^2}$

c)

$D^2=kLR$

d)

$k=\frac{RD^2}{L}$

16.

Water pressure (P) varies directly as the height (h) of the water is translated into

a)

$P=\frac{k}{h}$

b)

$k=Ph$

c)

$h=\frac{k}{P}$

d)

$P=kh$

17.

The distance travelled varies jointly as the rate and the time. If John Paul travels 40 km in 8 hours at a rate of 5 kph, find the rate at which he travels to cover a distance of 42 km in 7 hours.

a)

2

b)

4

c)

6

d)

8

18.

In a circuit, the voltage varies directly as the current. If the voltage is 45 volts when the current is 15 amps, find the voltage when the current is 10 amps.

a)

15

b)

30

c)

45

d)

60

19.

If 4 ballpens cost 120 pesos, find the cost of 6 ballpens.

a)

$₱120$

b)

$₱150$

c)

$₱180$

d)

$₱210$

20.

Applying the laws of exponents, how will you simplify $\left(y^{\frac{1}{8}}\right)^2$ ?

a)

add the exponents

b)

subtract the exponents

c)

multiply the exponents

d)

divide the exponents

21.

Any number/variable raised to zero is equal to _____.

a)

0

b)

1

c)

undefined

d)

infinity

22.

Which of the following is true about $x^{\frac{1}{2}}$ ?

a)

1 shows the power of x

b)

2 shows the root index of x

c)

both a and b

d)

none of the above

23.

What is the equivalent of $5∛(x⁴)$ in exponential notation?

a)

$5\left(x^{\frac{4}{3}}\right)$

b)

$\left(5x\right)^{\frac{4}{3}}$

c)

$[5(x^4)]^{\frac{1}{3}}$

d)

$5x^{\frac{3}{4}}$

24.

What law will be used in multiplying radicals of the same order?

a)

$n_{\sqrt{a^n\ \ }}\ \ =a$

b)

$n_{\sqrt{ab}}\ _=n_{\sqrt{a}\ \cdot}\ \ n_{\sqrt{b}}$

c)

$n_{\sqrt{\frac{a}{b}}\ \ }=_{\frac{n\sqrt{a}}{n\sqrt{b}}}$

d)

$m_{\sqrt{n_{\sqrt{a}}}}=_{mn_{\sqrt{a}}}=_{n_{\sqrt{m_{\sqrt{a}}}}}$

25.

Which of the following is true?

a)

b)

c)

d)

26.

Find the sum of $\sqrt{4y},\sqrt{9y},\sqrt{4x}\ \ and\ \sqrt{9x}$ .

a)

$13\sqrt{y}+13\sqrt{x}$

b)

$8\sqrt{xy}+18\sqrt{xy}$

c)

$4\sqrt{xy}+6\sqrt{xy}$

d)

$5\sqrt{y}+5\sqrt{x}$

27.

$Subtract:\ \ 16\sqrt{5}and\ \ 10\sqrt{5}.$

a)

$-6\sqrt{5}$

b)

$-26\sqrt{5}$

c)

$6\sqrt{5}$

d)

$26\sqrt{5}$

28.

$What\ is\ the\ product\ of\ (7\sqrt{2})\ and\ (\sqrt{8})?$

a)

$7\sqrt{16}$

b)

28

c)

$14\sqrt{4}$

d)

56

29.

Which of the following is a radical equation will have x = 3 as the solution?

a)

$\sqrt{x}=9$

b)

$3\sqrt{x}=6-\sqrt{3}$

c)

$3\sqrt{x}=\sqrt{27}$

d)

$\sqrt{\left(x+2\right)}=4$

30.

Which of the following is a radical equation will have x = 81 as the solution?

a)

$\sqrt{x}=9$

b)

$3\sqrt{x}=6-\sqrt{3}$

c)

$3\sqrt{x}=\sqrt{27}$

d)

$\sqrt{(x+2)}=4$

31.

Which of the following is NOT a property of parallelogram?

a)

two pairs of opposite sides are congruent.

b)

two opposite angles are supplementary.

c)

the diagonals of a parallelogram bisect each other.

d)

a diagonal of a parallelogram forms two congruent triangles.

32.

Which of the following DOES NOT belong to the properties of a parallelogram?

a)

Diagonals bisect each other.

b)

Opposite angles are congruent.

c)

Opposite sides are parallel.

d)

None of the above

33.

How do you describe the two consecutive angles in a parallelogram?

I. Supplementary II. Congruent

a)

I only

b)

II only

c)

I and II

d)

none of the above

34.

When a diagonal of parallelogram is drawn, how many congruent triangles are formed?

a)

4

b)

3

c)

2

d)

1

35.

Quadrilateral BANK is a parallelogram. If BA= 10cm and AN = 6 cm, what is the length of NK?

a)

10 cm

b)

5 cm

c)

6 cm

d)

3 cm

36.

Given BCDE is a rectangle, and are _____.

a)

congruent

b)

perpendicular

c)

both A and B

d)

none of the above

37.

The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long.

a)

Midline Theorem

b)

Midsegment Theorem

c)

Pythagorean Theorem

d)

none of the above

38.

Which of the following quadrilateral has diagonals that do not bisect each other?

a)

rectangle

b)

trapezoid

c)

square

d)

rhombus

39.

Which of the following statements is true?

a)

A trapezoid can have 4 equal sides

b)

A trapezoid can have 3 right angles

c)

The base angles of an isosceles trapezoid are congruent

d)

The diagonals of an isosceles trapezoid bisect each other

40.

It is a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

a)

right triangle similarity theorem

b)

triangle proportionality theorem

c)

triangle angle-bisector theorem

d)

none of the three

41.

Which of the following polygons is NOT similar?

a)

b)

c)

d)

42.

A document is 80% only of the size of the original document. If you were asked to convert this document back to its original size, what copier enlargement settings will you use?

a)

100%

b)

110%

c)

120%

d)

125%

43.

A map is drawn to the scale of 1cm:150m. If the distance between towns A and B measures 8.5cm on the map, determine the approximate distance between these towns.

a)

2175m

b)

1725m

c)

1275m

d)

2715m

44.

With respect to the given angle, what is the ratio of the hypotenuse to the opposite side?

a)

sine

b)

cosine

c)

tangent

d)

cosecant

45.

In the special right triangle PQR with angle Q is 90 degrees, what is the length of PQ if PR=13cm and QR=12cm?

a)

1cm

b)

5cm

c)

9cm

d)

12cm

46.

Determine which equation is equivalent to 4x – 1 = 11

a)

4x = 10

b)

4 – 1x = 11x

c)

4x – 1x = 11

d)

4x = 12

47.

The expression $2(\sin⁡30°)-\tan45°$ is equal to

a)

0

b)

1

c)

2

d)

-1

48.

From the top of the barn 7.62m high, you see a cat on the ground. The angle of depression of the cat is 40 degrees. How many meters must the cat walk to reach the barn?

a)

9.08m

b)

9.80m

c)

9.81m

d)

9.18m

49.

ABCD is a parallelogram. If AB is 8cm long, BC is 5cm and their included angle measures 100 degrees, how long is diagonal AC?

a)

12.95cm

b)

12.59cm

c)

10.40cm

d)

10.14cm

50.

It is a trigonometric function of an angle where its angled triangle is the ratio of the side opposite the angle to the hypotenuse. This definition applies only to angles between 0 and 90.

a)

sine

b)

cosine

c)

tangent

d)

cosecant

Pre-test math 9

Total questions: 50

Worksheet time: 50mins

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