For Latex

The sum of the roots of the equation $ x^{2}-7 x-8=0$ is:

8

Correct Incorrect Correct answer

-8

Correct Incorrect Correct answer

7

Correct Incorrect Correct answer

-7

Correct Incorrect Correct answer

If $ f(x-2)=x^{2}-9$, then $f(x)=$

$ (x-1)(x+5)$

Correct Incorrect Correct answer

$ (x-3)(x+3)$

Correct Incorrect Correct answer

$ (x-1)(x+9)$

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

If the remainder of dividing $ P(x) $ by $x-2$ is 0 , then $P(x)=$

$ (x-1)^{2}-1 $

Correct Incorrect Correct answer

$ x^{2}-5x-6 $

Correct Incorrect Correct answer

$ x^{2}+4x-4$

Correct Incorrect Correct answer

$ x^{2}+2x+3$

Correct Incorrect Correct answer

If $ 5(8)^{3 x-1}-20=0$, what is the value of $x$ ?

$ \frac{1}{3} $

Correct Incorrect Correct answer

$ \frac{1}{9} $

Correct Incorrect Correct answer

$ \frac{5}{9} $

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

Find the solution of the equation $ 2a^{2}-23+2 \sqrt{6^{2}+8^{2}}=\sqrt[3]{125 a^{3}}$

{0.5,1}

Correct Incorrect Correct answer

{0.5,3}

Correct Incorrect Correct answer

{-0.5,3}

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

If $ x>1 $ then $ \frac{|x-1|}{x^{2}-2 x+1}-\frac{x^{3}+x^{2}+x}{x^{3}-1}=$

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

Correct Incorrect Correct answer

-1

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

The solution set of $ \frac{1}{x}=\frac{2}{3 x}+3 $

$ \frac{1}{9} $

Correct Incorrect Correct answer

$ \frac{-1}{9} $

Correct Incorrect Correct answer

9

Correct Incorrect Correct answer

-9

Correct Incorrect Correct answer

If $ (0,3),(-3,0)$, and $(0,-9)$ are points on a function $f(x)$, which of the following could be $f(x)$ ?

$ y=x^{2}-9 $

Correct Incorrect Correct answer

$ y=x^{2}+9 $

Correct Incorrect Correct answer

$ y=x^{2}-3 $

Correct Incorrect Correct answer

$ y=x^{2}+3 $

Correct Incorrect Correct answer

If $x>0 $ and $ y>0$ then $\frac{x-y}{\sqrt{x}-\sqrt{y}}=$

$ \sqrt{x+y}$

Correct Incorrect Correct answer

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

Correct Incorrect Correct answer

$ \frac{x-y}{\sqrt {x-y}} $

Correct Incorrect Correct answer

$ \frac{x-y}{\sqrt{ x+y}} $

Correct Incorrect Correct answer

If the graph of the function $ g(x) $ is the result of shifting the graph of the function $ f(x)=|x|$ upward by 3 units and to the right by 4 units, then $ g(x)= $

$ |x-4|+3 $

Correct Incorrect Correct answer

$ |x+4|+3 $

Correct Incorrect Correct answer

$ |x-4|-3 $

Correct Incorrect Correct answer

$ |x+4|-3 $

Correct Incorrect Correct answer

At what point does the function $ f(x)=\frac{8 x+1}{3} $ and $ g(x)=2 x+3 $ intersect?

(2,4)

Correct Incorrect Correct answer

(-3,6)

Correct Incorrect Correct answer

(4,11)

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

If point A is located at (2,3) and point B is located at (5,7), then what is the distance between the two points?

25

Correct Incorrect Correct answer

15

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

A store offers a 15% student discount and an additional 10% discount in the summer. If a student bought a product from the store for 306 KD during the summer, then what was the product’s original price?

375 KD

Correct Incorrect Correct answer

400 KD

Correct Incorrect Correct answer

425 KD

Correct Incorrect Correct answer

325 KD

Correct Incorrect Correct answer

Let $ f(x) $ be a function such that $ f(-x)=-f(x) $. Which of the following statements is true?

$ f(0)=0 $

Correct Incorrect Correct answer

$ f(x-y)=f(x)-f(y) $

Correct Incorrect Correct answer

$ f(x-y)=f(y)-f(x) $

Correct Incorrect Correct answer

More than one correct statement

Correct Incorrect Correct answer

If y is directly proportional to x and the square root of z, and y=12 when x=2 and z=5, then what is the value of y when x=4 and z=20?

24

Correct Incorrect Correct answer

48

Correct Incorrect Correct answer

82

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

Which of the following is the largest distance?

0.08 km

Correct Incorrect Correct answer

9999. cm

Correct Incorrect Correct answer

3000 mm

Correct Incorrect Correct answer

100 m

Correct Incorrect Correct answer

Pump A has a fill rate of x liters per minute while Pump B has a fill rate of y liters per minute. If both pumps together fill the tank in t minutes, how long will it take Pump A to fill half of the tank on its own?

$ \frac{2t(x+y)}{x} $

Correct Incorrect Correct answer

$ \frac{t(x+y)}{2x} $

Correct Incorrect Correct answer

$ \frac{2t}{x} $

Correct Incorrect Correct answer

$ \frac{t}{2x} $

Correct Incorrect Correct answer

If $ f(x), g(x) $ are real functions, what is $ ((f(x)-g(x)) \circ g(x))= $

$ (f \circ f)(f-g)(x) $

Correct Incorrect Correct answer

$ (f (x))^2 (f-g) $

Correct Incorrect Correct answer

 (g(x))(f(x) – g(x))/latex]

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

At a certain theater, the price of a ticket purchased at the box office is 15 KD, while the price of a ticket purchased online is 12 KD. If the theater sold a total of 200 tickets for 2700 KD, how many tickets were purchased at the box office?

116

Correct Incorrect Correct answer

100

Correct Incorrect Correct answer

88

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

What is the domain of the function $ f(x)=\frac{|x+3|^3}{x}<0$?

R\{0}

Correct Incorrect Correct answer

R\{-3,0}

Correct Incorrect Correct answer

$ (-\infty, 0) $ \{-3}

Correct Incorrect Correct answer

(-3,0)

Correct Incorrect Correct answer

If $x>1, x<-y $ then $ \frac{|x^2+xy-x-y}{x^2-y^2} $=

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

Correct Incorrect Correct answer

$ \frac{x-1}{y+x} $

Correct Incorrect Correct answer

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

Correct Incorrect Correct answer

$ \frac{1-x}{y+x} $

Correct Incorrect Correct answer

If $ x>0 $, which of the following statements is true?

$ (\sqrt{x})^2 & \sqrt{x^2} $ will give us the same correct answers.

Correct Incorrect Correct answer

Only $ \sqrt{x^2} $ will give us the correct answer

Correct Incorrect Correct answer

Only $ (\sqrt{x})^2 $ will give us the correct answer

Correct Incorrect Correct answer

All of the above are incorrect

Correct Incorrect Correct answer

What does $ x^2|x|= $?

$ x^3 $

Correct Incorrect Correct answer

$ |x|^3 $

Correct Incorrect Correct answer

$ -x^3 $

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

Which of the following is true?

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

Correct Incorrect Correct answer

$ |x|+|y|=\sqrt{x^2+y^2} $

Correct Incorrect Correct answer

$ y|x|=\sqrt[3]{y^3\sqrt{x^6}} $

Correct Incorrect Correct answer

$ |y|x=\sqrt[3]{y^3\sqrt{x^6}} $

Correct Incorrect Correct answer

If $ h(x)=x^2 $, $ g(x)=x+5 $, and $ f(x)= 2x $, then $ (f \circ g \circ h)(1)$=

14

Correct Incorrect Correct answer

13

Correct Incorrect Correct answer

12

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

If (0,3), (-3,0), and (0,-9) are point on a function $ f(x) $, which of the following could be $ f(x) $?

$ y=x^2−9 $

Correct Incorrect Correct answer

$ y=x^2+9 $

Correct Incorrect Correct answer

$ y=x^2−3 $

Correct Incorrect Correct answer

$ y=x^2+3 $

Correct Incorrect Correct answer

If the radius of a sphere, r, increases by 1 cm, then the volume of the sphere becomes

$ \frac{4}{3}\pi{r^3+3r^2+3r+1} $

Correct Incorrect Correct answer

$ \frac{4}{3}\pi{r^3+3r+1} $

Correct Incorrect Correct answer

$ \frac{4}{3}\pi{r^3+3r+3} $

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

If we have four circles with radii $ r1=\frac{3}{4} $, $ r2=\frac{4}{5} $, $ r3=\frac{5}{6} $, $ r4=\frac{6}{7} $, which of the circles is the largest?

Circle 1

Correct Incorrect Correct answer

Circle 2

Correct Incorrect Correct answer

Circle 3

Correct Incorrect Correct answer

Circle 4

Correct Incorrect Correct answer

If the volume of a sphere is one eighth its original volume, then the surface area of the new sphere is:

One third its original surface area

Correct Incorrect Correct answer

One half its original surface area

Correct Incorrect Correct answer

One quarter its original surface area

Correct Incorrect Correct answer

One sixth its original surface area

Correct Incorrect Correct answer

If the area of a rectangle is 24 \(
$m^{2}$

$ 4\sqrt{7}+1 $ m

Correct Incorrect Correct answer

$ 4\sqrt{7}$ m

Correct Incorrect Correct answer

$ \sqrt{7}+4 $ m

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

The value $ \pi $ represents the ratio of the circle’s circumference to its radius. If the radius r satisfies the equation $ |4r+1|+1=0 $, what could be the value of r?

$ r=0.5 $

Correct Incorrect Correct answer

$ r=-0.5 $

Correct Incorrect Correct answer

$ r=0.25 $

Correct Incorrect Correct answer

No solution

Correct Incorrect Correct answer

If the graph of the function \( $g (x)$ is the result of shifting the graph of the function \( $f (x) = | x |$ upward by 3 units and to the right by 4 units, then \( $g (x) =$

$ |x-4|+3 $

Correct Incorrect Correct answer

$ |x-4|-3 $

Correct Incorrect Correct answer

$ |x+4|-3 $

Correct Incorrect Correct answer

$ |x+4|+3 $

Correct Incorrect Correct answer

If point A is located at (2,3) and point B is located at (5,7), then what is the distance between the two points?

25

Correct Incorrect Correct answer

15

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

Nasser uses his phone for 3 hours and 20 minutes per day. If he wants to reduce his screen time by 25%, what will his new screen time be?

2 hours and 30 minutes

Correct Incorrect Correct answer

2 hours and 45 minutes

Correct Incorrect Correct answer

2 hours and 25 minutes

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

If the equation $ x^2+ax+b=0 $ has a unique solution at $ x=3 $ what are a and b?

$a=6 $ and $ b=9 $

Correct Incorrect Correct answer

$a=-6 $ and $ b=-9 $

Correct Incorrect Correct answer

$a=-6 $ and $ b=9 $

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

Which of the following is a factor of the polynomial $ 2x^2-7x+3 $?

$ 2x-1 $

Correct Incorrect Correct answer

$ 2x-2 $

Correct Incorrect Correct answer

$ 2x+1 $

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

If 0, 1, -1 are the solutions of the polynomial P, then P(x)=

$ x^3-2x^2+x $

Correct Incorrect Correct answer

$ x^3-2x^2 $

Correct Incorrect Correct answer

$ x^3-x $

Correct Incorrect Correct answer

$ x^3+2x^2+x $

Correct Incorrect Correct answer

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