Free Printable GRADE 9 MATH QUIZ

1.

STATE YOUR COMPLETE NAME IN CAPITAL LETTERS: (ex. ALAMADA, RAJZMAN AL-GHAFFAR D.)

4 lines

2.

Which of the following is NOT a quadratic equation?

a)

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

b)

$3x-2=7$

c)

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

d)

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

3.

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

a)

-5 and 8

b)

-4 and 10

c)

4 and -10

d)

5 and -8

4.

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

a)

-7 and 21

b)

-7 and 7

c)

7 and -3

d)

7 and -21

5.

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?

a)

22

b)

49

c)

121

d)

484

6.

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

a)

-14

b)

-5

c)

5

d)

14

7.

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?

a)

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

b)

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

c)

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

d)

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

8.

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

a)

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

b)

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

c)

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

d)

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

9.

Which of the following quadratic equations has imaginary roots?

a)

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

b)

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

c)

$2x^2+4x=3$

d)

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

10.

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

a)

$x+3>0$

b)

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

c)

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

d)

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

11.

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

a)

$\phi$

b)

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

c)

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

d)

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

12.

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?

a)

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

b)

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

c)

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

d)

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

13.

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

a)

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

b)

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

c)

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

d)

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

14.

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

a)

imaginary numbers

b)

negative numbers

c)

positive numbers

d)

real numbers

15.

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?

a)

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

b)

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

c)

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

d)

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

16.

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

a)

x = 1

b)

x =-4

c)

y = 1

d)

y = -4

17.

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

a)

The parabola opens upward.

b)

The parabola opens downward.

c)

The parabola opens to the left.

d)

The parabola opens to the right.

18.

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?

a)

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

b)

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

c)

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

d)

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

19.

What quadratic function has zeroes -4 and 6?

a)

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

b)

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

c)

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

d)

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

20.

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?

a)

24 meters

b)

35 meters

c)

40 meters

d)

48 meters

21.

Which of the following situations models inverse variation?

a)

Amount paid and the number of materials bought

b)

Force applied to the ball and its speed

c)

Perimeter and length of the sides of a parallelogram

d)

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

22.

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

a)

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

b)

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

c)

$y\ =\ -4x$

d)

$x=4y$

23.

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?

a)

3

b)

20

c)

60

d)

120

24.

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?

a)

580 pesos

b)

600 pesos

c)

720 pesos

d)

725 pesos

25.

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

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

26.

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

a)

$9a^{ }$

b)

$9a^7$

c)

$\frac{9}{a}$

d)

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

27.

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

a)

$9ab$

b)

$\frac{ab}{9}$

c)

$\frac{9}{ab}$

d)

$\frac{9a}{b}$

28.

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

a)

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

b)

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

c)

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

d)

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

29.

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

a)

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

b)

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

c)

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

d)

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

30.

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

a)

$2\sqrt{\ 6}$

b)

$4\sqrt{\ 3}$

c)

$6\sqrt{\ 2}$

d)

$8\sqrt{\ 3}$

31.

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

a)

$2xy\sqrt{\ 3xy}$

b)

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

c)

$4xy\sqrt{\ 3xy}$

d)

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

32.

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

a)

$4x$

b)

$4x^2$

c)

$4x^3$

d)

$4x^4$

33.

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

a)

x = -4

b)

x = -1

c)

x = 1

d)

x = 4

34.

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

a)

rectangle

b)

rhombus

c)

square

d)

trapezoid

35.

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

a)

kite

b)

rectangle

c)

rhombus

d)

square

36.

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

a)

Consecutive sides are parallel.

b)

Consecutive angles are supplementary.

c)

Both pairs of opposite sides are congruent.

d)

Both pairs of opposite angles are congruent.

37.

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

a)

10

b)

20

c)

40

d)

50

38.

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

a)

4

b)

8

c)

12

d)

15

39.

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?

a)

90 cm

b)

150 cm

c)

210 cm

d)

270 cm

40.

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

a)

9

b)

12

c)

18

d)

21

41.

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?

a)

15 ft

b)

30 ft

c)

45 ft

d)

60 ft

GRADE 9 MATH QUIZ

Total questions: 41

Worksheet time: 41mins

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