Quiz about GRADE 9 MATH QUIZ

Question 1

Which of the following is NOT a quadratic equation?

Accepted Answer

$$3x-2=7$$

Answer

$$4x^{2\ }=\ \sqrt{\ 3}$$

Answer

$$\frac{x^2}{2}+8\ =\ 0$$

Answer

$$3x-2x^{2\ }=\ -6$$

Question 2

What are the roots of $$x^{2\ }-3x-40=0$$ ?

Accepted Answer

-5 and 8

Answer

-4 and 10

Answer

4 and -10

Answer

5 and -8

Question 3

What are the roots of $$3x^{2\ }-147\ =\ 0$$ ?

Accepted Answer

-7 and 7

Answer

-7 and 21

Answer

7 and -3

Answer

7 and -21

Question 4

What number must be added to both sides of the equation $$x^2-22x=7$$ so that the method of completing the square can be used to solve the roots?

Accepted Answer

121

Answer

22

Answer

49

Answer

484

Question 5

What is the product of the roots of the quadratic equation $$x^{2\ }-5x-14\ =0$$ ?

Accepted Answer

-14

Answer

-5

Answer

5

Answer

14

Question 6

Anton is five years older than Celine. The product of Anton's age in 3 years and Celine's age five years ago is 90. Which equation represents the given situation?

Accepted Answer

$$\left(x+8\right)\left(x-5\right)=90$$

Answer

$$\left(x\right)\left(x-3\right)=90$$

Answer

$$\left(x\right)\left(x+5\right)=90$$

Answer

$$\left(x+3\right)\left(x-5\right)=90$$

Question 7

Which fo the following statements is NOT true about quadratic inequality?

Accepted Answer

It can be written in the form $$ax^2+bx\ +\ c=0$$ .

Answer

It can be written in the form $$ax^2+bx\ +\ c>0$$ .

Answer

It can be written in the form $$ax^2+bx\ +\ c<0$$ .

Answer

It can be written in the form $$ax^2+bx\ +\ c\ge0$$ .

Question 8

Which of the following quadratic equations has imaginary roots?

Accepted Answer

$$3x^{2\ }-2x=-5$$

Answer

$$-2x^{2\ }+x+7\ =\ 0$$

Answer

$$x^{2\ }-8x+16=0$$

Answer

$$2x^2+4x=3$$

Question 9

Which of the following is an example of a quadratic inequality?

Accepted Answer

$$x^{2\ }+2x\le7$$

Answer

$$x+3>0$$

Answer

$$x^{2\ }+3x-4=0$$

Answer

$$x^3-6x+2\ge1$$

Question 10

What is the solution set of the quadratic inequality $$x^{2\ }+4x-21\le0$$ ?

Accepted Answer

$$\left[-7,3\right]$$

Answer

$$\phi$$

Answer

$$\left(-\infty\ ,-7\right)$$

Answer

$$\left(-\infty,-7\right]\cup\ \left[3,\ +\infty\ \right)$$

Question 11

The floor of a conference room can be covered completely with tiles. Its length is 36 feet longer than its width. The area of the floor is less than 2,040 square feet. What mathematical sentence would represent the given situation?

Accepted Answer

$$x^{2\ }-36x<2,040$$

Answer

$$x^{2\ }-36<2,040$$

Answer

$$x^{2\ }+36<2040$$

Answer

$$x^{2\ }-36x\ >2,040$$

Question 12

What is the general form of $$f\left(x\right)\ =\ \left(x-4\right)^{2\ }-5$$ ?

Accepted Answer

$$f\left(x\right)\ =\ x^{2\ }-\ 8x\ +\ 11$$

Answer

$$f\left(x\right)\ =\ x^{2\ }+8x\ -1$$

Answer

$$f\left(x\right)\ =\ x^{2\ }-\ 16x\ +25$$

Answer

$$f\left(x\right)\ =\ x^{2\ }+16x-25$$

Question 13

What is the domain of a quadratic function? Its domain is the set of _____.

Accepted Answer

real numbers

Answer

imaginary numbers

Answer

negative numbers

Answer

positive numbers

Question 14

Which mathematical sentence will solve the problem below?
The longer leg (b) of a right triangle is one inch more than the shorter leg (a). What are the possible lengths of the legs so that the hypotenuse (c) is at most 5 inches?

Accepted Answer

$$a^{2\ }+\left(a+1\right)^{2\ }\le5$$

Answer

$$a^{2\ }+\left(a+1\right)^{2\ }\ge5$$

Answer

$$a^{2\ }+\left(b+1\right)^{2\ }\le5$$

Answer

$$a^{2\ }+\left(b+1\right)^{2\ }\ge5$$

Question 15

What is the axis of symmetry of a parabola whose vertex is at (1, -4)?

Accepted Answer

x = 1

Answer

x =-4

Answer

y = 1

Answer

y = -4

Question 16

What happens when a<0 in $$f\left(x\right)\ =\ ax^{2\ }+bx+c$$ ?

Accepted Answer

The parabola opens downward.

Answer

The parabola opens upward.

Answer

The parabola opens to the left.

Answer

The parabola opens to the right.

Question 17

Given the graph of the quadratic function $$f\left(x\right)=x^2$$ , what will be the new equation when the graph is translated two units upward and two units to the left?

Accepted Answer

$$f\left(x\right)=\left(x+2\right)^2+2$$

Answer

$$f\left(x\right)\ =\ x^2+2$$

Answer

$$f\left(x\right)\ =\ \left(x+2\right)^2$$

Answer

$$f\left(x\right)\ =\ \left(x-2\right)^{2\ }+2$$

Question 18

What quadratic function has zeroes -4 and 6?

Accepted Answer

$$f\left(x\right)\ =\ x^{2\ }-2x-24$$

Answer

$$f\left(x\right)\ =\ x^{2\ }-4$$

Answer

$$f\left(x\right)\ =\ x^{2\ }+2x-24$$

Answer

$$f\left(x\right)=x^{2\ }+4x-3$$

Question 19

A projectile is launched from a point above a ground. The height at ground level is given by the equation $$h\left(t\right)=-3t^2+24t$$ , where h is the height in meters and t is the time in seconds. What is the maximum height it can reach?

Accepted Answer

48 meters

Answer

24 meters

Answer

35 meters

Answer

40 meters

Question 20

Which of the following situations models inverse variation?

Accepted Answer

Time it takes to finish a painting job and the number of men working

Answer

Amount paid and the number of materials bought

Answer

Force applied to the ball and its speed

Answer

Perimeter and length of the sides of a parallelogram

Question 21

Which of the following equations represents the statement "y varies inversely as x and y = 12 when x = 3?

Accepted Answer

$$y\ =\ \frac{36}{x}$$

Answer

$$y\ =\ \frac{x}{36}$$

Answer

$$y\ =\ -4x$$

Answer

$$x=4y$$

Question 22

If y varies directly as x and inversely as z, and y = 30 when x = 50 and z =5, what is y when x = 40 and z = 6?

Accepted Answer

20

Answer

3

Answer

60

Answer

120

Question 23

The daily wage of a construction worker varies directly as the number of hours spent in doing a job. If a daily minimum wage of a construction worker is 290 pesos for every 8 hours of work, how much will a worker receive if he works for 20 hours?

Accepted Answer

725 pesos

Answer

580 pesos

Answer

600 pesos

Answer

720 pesos

Question 24

What mathematical operation is performed on the exponents to simplify the expression $$\left(m^3\right)^6$$ ?

Accepted Answer

Multiplication

Answer

Addition

Answer

Subtraction

Answer

Division

Question 25

Which of the following is the simplifed form of $$\frac{\left(6a^3\right)\left(3a^{-6}\right)}{2a^{-4}}$$

Accepted Answer

$$9a^{ }$$

Answer

$$9a^7$$

Answer

$$\frac{9}{a}$$

Answer

$$\frac{9}{a^7}$$

Question 26

Which of the following is the simplifed form of $$\left(3ab\right)^2\left(ab\right)^{-3}$$ ?

Accepted Answer

$$\frac{9}{ab}$$

Answer

$$9ab$$

Answer

$$\frac{ab}{9}$$

Answer

$$\frac{9a}{b}$$

Question 27

What is the radical form of $$12x^{\frac{3}{4}}$$ ?

Accepted Answer

$$12\sqrt[4]{x^3}$$

Answer

$$\sqrt[4]{\left(12x\right)^3}$$

Answer

$$\sqrt[3]{\left(12x\right)^4}$$

Answer

$$12\sqrt[3]{a^4}$$

Question 28

Which of the following expressions is equivalent to $$7\sqrt[5]{x^3}$$ ?

Accepted Answer

$$7x^{\frac{3}{5}}$$

Answer

$$7x^{\frac{5}{3}}$$

Answer

$$\left(7x\right)^{\frac{3}{5}}$$

Answer

$$\left(7x\right)^{\frac{5}{3}}$$

Question 29

What is the simplified radical form of $$\sqrt{\ 48}$$ ?

Accepted Answer

$$4\sqrt{\ 3}$$

Answer

$$2\sqrt{\ 6}$$

Answer

$$6\sqrt{\ 2}$$

Answer

$$8\sqrt{\ 3}$$

Question 30

Which of the following is the simplest radical form of $$\sqrt{\ 12x^3y^7}$$ ?

Accepted Answer

$$2xy^3\sqrt{\ 3xy}$$

Answer

$$2xy\sqrt{\ 3xy}$$

Answer

$$4xy\sqrt{\ 3xy}$$

Answer

$$2xy^2\sqrt{\ 3xy}$$

Question 31

What is the product of $$\sqrt{\ 2x^2}\cdot\sqrt{\ 8x^4}$$ ?

Accepted Answer

$$4x^3$$

Answer

$$4x$$

Answer

$$4x^2$$

Answer

$$4x^4$$

Question 32

What is the value of x in $$\sqrt{\ x-3}=1$$ ?

Accepted Answer

x = 4

Answer

x = -4

Answer

x = -1

Answer

x = 1

Question 33

Which quadrilateral has four congruent sides and two pairs of congruent angles?

Accepted Answer

square

Answer

rectangle

Answer

rhombus

Answer

trapezoid

Question 34

Which quadrilateral has a diagonal that are not perpendicular to each other?

Accepted Answer

rectangle

Answer

kite

Answer

rhombus

Answer

square

Question 35

Which of the following is not a property of a parallelogram?

Accepted Answer

Consecutive sides are parallel.

Answer

Consecutive angles are supplementary.

Answer

Both pairs of opposite sides are congruent.

Answer

Both pairs of opposite angles are congruent.

Question 36

$$\angle\ A$$ is an angle of a square. What is x if $$m\angle\ A=5x-10$$ ?

Accepted Answer

20

Answer

10

Answer

40

Answer

50

Question 37

Given that PQRS is a rectangle, solve for x if PQ = -1+4x and RS = 3x +3.

Accepted Answer

4

Answer

8

Answer

12

Answer

15

Question 38

The ratio of the lengths of the sides of a triangle is 3:6:7 and its perimeter is 480 cm. What is the measure of the longest side?

Accepted Answer

210 cm

Answer

90 cm

Answer

150 cm

Answer

270 cm

Question 39

What is the value of x in the proportion 2:5 = x:45?

Accepted Answer

18

Answer

9

Answer

12

Answer

21

Question 40

Carlo is 6 feet tall. His shadow is 4ft. At the same day, a tree cast a shadow of 20 feet. How tall is the tree?

Accepted Answer

30 ft

Answer

15 ft

Answer

45 ft

Answer

60 ft

GRADE 9 MATH QUIZ

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