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3. From the equation 2x + 9x 10, what number should be added to make it a perfect quadratic trinomial? A. 81 16 B." D. 4. In the equation 2x - 8x = 0, what value of x will make the cquation equal to zero? A.x = 2 & x =4 B. x= 0 & x= -4 Cx= 4&x= -2 D.x = 0& x = 4 5. How many solutions does the quadratic equation x $+5x+7=$ 0? A. 0 B. 1 C. 2 D. 3 6. What are the roots of the quadratic equation x +x- 56 = 0? A. 8 & 7 B. -8 & - 7 C. -8 & 7 D. B& -7 7. The length of a garden is Sm longer than its width and the area is 14m2. How long is the garden? A. 12 m B. 7 m C. 4 m D. 2 m 8. What is the equivalent equation of (x+ $n\left(x-7=-3x$ A. x + 3x - 49 = 0 B. $-3x$ - 49 = 0 +49 0 D. x* + 3x +49 = 0 - the -3x D. 8 & -7 9. What are the roots of the given quadratic equation (2x square. A. -8 &7 B. -8 & -7 $c+$ $a^{c}2^{4}$ 10. What is the value of x in the quadratic equation 3(3x - A. 20 B. 18 D. 9 11. The equation x - 4x - 4 0 can be solved by completing What constant term should be added to make the left side of the equation a perfect square trinomial? A. 4 B 2 C. D. 12. What are the values of x in the equation x - 2x = 3, using completing the square? D. x = 1& x= -1 Ax= 4 & x = 3 B. x= 3 &x= -1 C.x= 2 & x = 1 13. Which of the following is the discriminant? C-b + 4ac D. b - 4ac A. -b -4ac B. b + 4ac 14. What is the value of the discriminant of the equation x + 5x + 4 = 0? D. 12 A 6 B. 8 C. 9 15. What is the nature of the roots of the quadratic equation if the value of the discriminant is positive but not a perfect square? A. The roots are not real C. The roots are rational and not equal B. The roots are irational and not equal D. The roots are rational and equal 16. When b - 4ac is less than zero the roots are? A Not real C. Irrational and not equal B. Real and not equal D. Rational 17. What is the product of the roots of the quadratic cquation x +3x +2 = a0n7 d equal A. -2 B.-1 C. 2 D. 3 18. What is the sum of the roots of the quadratic equation x + 3x + 2 = 0 A -3 B. -2 C. -1 1 19. Find the quadratic equation with integral coefficients as roots: xDD, . . = -4, x, = 2 A. x - 2x +8 = 0 B. x + 2x -8 numbers $x^{2}-2x$ -8 = 0 equation = 0 having itn he the 20. Find the sum of the roots of the equation 2x $ng$ $+ax+10=0^{Cx2+2x+}$ $c-5$ $o$ $ingn$ $mb$ $sh$ $ng$ $cx^{2}+2x+8=0$ $+10=0$ $c-5$ $ain$ $6omax^{2}+bx$ A -7 B. -6 D. -4 21. Write the given equation = 7 to a quadratic $bx+c$ = 0. A. 3x + 14x - 4= 0 B. 3r - $14x-4=0$ 22. Transform the given equation (x+ 6)² %3D equation $D3x^{2}+14x+4=0$ $\bar{n} ^{14}s^{x+4}=0$ $i$ $o$ $m$ $a$ $x^{2}+bx+c=0$ $0x^{2}+12x-21=0$ $12x+21=0$ A.x - $12x+21$ 0 B. x - 12x $510a9asd$ $i$ $\dfrac {1} {1}21=0$ $0\right)=-21$ 23, Find the solution set of the equation x(x $4x=-78x$ = 3 B. x = 7&x = 3 $Cx=78x=-3$ $D.x=-78x=-3$ A The leneth of a car park is 120 m longer than its width. The area of the car park $s6400m^{2}$ What equation represents the Shot on Y91 vivo dual camera $C$ $x\left(x+120\right)=6400$ $D.x\left(x+120\right)=-640$
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search-thumbnail-11. The equation x 4x 4 0 can be solved by completing the square. What constant term should be added to make
A. 20 B. 18 C. 12 11. The equation x - 4x - 4 0 can be solved by completing the square. What constant term should be added to make the left side of the equation a perfect square trinomial? A. 4 B.2 D. 12. What are the values of x in the equation x -2x = 3, using completing the square? D. Ax= 4 & x =3 B. x= 3 $x=-1$ C.r= 2& x = 1 $x=18$ x =-1 13. Which of the following is the discriminant? C-b + 4ac D. b2 - 4ac $A-b^{2}-4a$ $b^{2+4ac}$ 14. What is the value of the discriminant of the equation x + 5x +4 = 0? D. 12 A. 6 B. 8 C. 9 15. What is the nature of the roots of the quadratic equation if the value of the discriminant is positive but not a perfect square? A. The roots are not real C. The roots are rational and not equal B. The roots are irrational and not equal D. The roots are rational and equal 16. When b - 4ac is less than zero the roots are? C. Irational and not equal A Not real B. Real and not equal D. Rational and equal 17. What is the product of the roots of the quadratic equation $2+3x+3$ = 07 A -2 B.-1 C. 2 D. 3 18. What is the sum of the roots of the quadratic equation x +3x +2 = 0 A-3 B. -2 C.-1 A. x- 2x +8 = 0 $x^{2}+$ 2x -8 = 0 C. $o1loming$ $x^{2}+2x+$ numbers x 8 =D0 as roots: $D1$ $x_{1}=-4_{,x_{2}}=2$ $Dx^{2}-2x-8=0$ 19. Find the quadratic equation with integral coefficients having the 20. Find the sum of the roots of the equation 2x $ax+10=0$ A-7 B. -6 C-5 D. -4 21. Write the given equation = 7 to a quadratic equation in the form $ax^{2}+bx+c=$ = 0. 3x2 A. 3x + $14x-4=9$ B. 3r - 14x -4= 0 C. 22. Transform the given equation (x+ 6) %3D 15 to a quadratic equation $03x^{2}+14x+4=0$ $14x+4=0$ $n\infty omax^{2}+bx+c=0$ $0.x^{2}+12x-21=0$ $12x+21=0$ = 0 $cx^{2}+12x$ $x^{2}-12x$ +21 0 B.r - 12x - 120) 1 =-21. 23. Find the solution set of the equation x(x - $x=-78$ x = 3 B.x= $x$ 3 $Cx=78x=-3$ $D.x=-78x=-3$ 24 The length of a car park is 120 m longer than its width. The area of the car nat i c40n2
7th-9th grade
Other
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search-thumbnail-2. In the equation ax2 bx 0, which of the following cannot be equal to zero for
1. Which A.2x + o5 f = th1e 1 $\left(olloming$ is a quadratic equation? C. x2 1 B.+ 6 = 3 D. x-x = 4 2. In the equation ax2 + bx + c= 0, which of the following cannot be equal to zero for the equationto be quadratic? A a B. b C. c D. a, b, and c 3. Which of the following equations is written in standard form? A.x - 5 =x C. 3x2 + 4x - 5 = 0 B.x2 = 9 D.x2 - x = 6 4. In the equation 8x + 3x² = -5, what is the real number c ? A. -5 B. 5 C. 3 D.8 5. In the equation x2 = 4, what is the real number b ? A. O B. 4 C. 1 D.undefined 6. When the value of b2 - 4ac is greater than zero and perfect square, the roots are A. Real numbers and equal C. rational numbers and not equal B. Irrational and not equal D. no real roots 7. When the value of b2 - 4ac is less than zero, the roots are A. Real numbers and equal C. rational numbers and not equal B. Irrational and not equal D. no real roots 8. How many real roots does the quadratic equation x2 = 25 has? A. One B. two C. three D. no real roots 9. What is the nature of the roots of a quadratic equation if the value of its discriminant is zero? A. The roots are not real. C. The roots are rational and not equal B. The roots are irrational and not equal.D. The roots are rational and equal. 10. What is the sum of the roots of the roots of the quadratic equation x2 + 6x $-14=0$ A. -7 B. -6 C.-3 4. 14 11. If x1 and x2 are the roots of the quadratic equation $ax^{2+bx+c}=0,then$ x1. X2 is A.b/c B. cla C. -b/a D. -c/a 12. If the quadratic equation is $x^{2}-3x=10$ what is the sum of its roots? A. -3 B. -3 C.-10 D. -10 13. In question no. 12, what is the product of the roots? A. - 3 B. -3 $C.-10$ $D$ $x^{2}+x-56=02$ -10 14. What are the roots of the equation $A.$ $2and-1$ $C.-8and7$ $D.3and-2$ B. $8and-7$ 15. Find the $quadratic$ equation whose roots are -5 and 3? A. $x^{2+2x-15}=0$ $C.x^{2-2x-15}=0$ $D.x^{2-2x-15}=0$ $B.$ $x^{2-2x+15}=0$ $-3x+9=02$ 16. $Nhatisthc$ sum of the roots of $thequadrat10$ -3/2 equation 2x A. 2/3 B. 9/2 17. If the $quadxati9$ equation is $C3/2$ $D$ $36x^{2+36x}=-52$ $c$ $k$ $D$ A. -3/7 $B.5/36$ 7/9
7th-9th grade
Calculus
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search-thumbnail-17 What is the product of the roots ofthe quadratic cquation x^{2}+c^{3}2^{x+2}=07 D3
B. Real and not equial $17$ What is the product of the roots of the quadratic cquation $x^{2}+c^{3}2^{x+2}=07$ $D3$ A. $-2$ $B-1$ $18$ What is the sum of the roots of the quadratic equation $x^{2}+3x+2=0$ $c-1$ $1D$ 1 $A-3$ $B-2$ 19. Find the quadratic equation with integral coefficients having the $tolosin$ numbers as roots: x, = $-4$ $x_{2}=2$ $2x-8=0$ A. $x^{2}-2x+8=$ =0 B. D. x $-2x$ - - 20. Find the sum of the roots of the x equation $-8=0$ $2x^{2}+8x+10=0^{Cx^{2}+2x+8}=0$ $c-5$ $A-7$ B. $D$ -4
7th-9th grade
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