14. What is the first step in solving this equation, a + 10a + 21O by completing the square? A. Set the equation equal to zero B. Divide 10 by 2 and add the result to both sides RAN C. Add a and 10a together D. Subtract the 21 15. When completing the square, what do you do if your xa term has a coefficient? A. Divide both sides by this coefficient B. Multiplying both sides by this coefficient C. Nothing D. Move it to the other side. 16. Adrian is solving an equation by completing the square, what number should be added to both sides of the equation x2-22x =12 to make the expression at the left a perfect square trinomial? A. 2 В. 11 С. 44 D. 121 17. Solve the cquation 3x- 7x =6 by completing the square. A. 3 and C. 6 and B. 3 and - D. 6 and 18. Justin was tasked to solve the equation x-6x - 41-0 by completing the square. He needs to write it in the form (x-h)2+ k to easily solve the equation, which of the following will be his answer? A. (x-6)2+ 50 B. b. (x+6)2- 50 C. (x-3)2- 50 D. (x+3)2+ 50 19. Quadratic formula can be derived by applying the method of? A. Factoring B. Extracting Square Roots C. Completing the Square D. None of the above 20. Which of the following represents the quadratic formula? -b iv D+ 4ae С. х- A. x - 2a 2a D. x =bV b+ sac 2a В. х 2a 21. Given the quadratic equation x - 9x = -12, identify the value of b? A. 9 В. -9 С. 12 D. -12 22. What are the solutions of the equations x + 10x + 9 - 0 using quadratic formula? C. x - -4 + 5 A. x= -5 + 4 В. х - 5+4 D. x - 4 + 5 23. A quadratic equation ax + bx + c = 0 has no real roots, if C. ba - 4ac < 0 A. b2 - 4ac < 0 B. b-4ac - 0 D. b2 - ac < 0 24. What is the nature of the roots of the quadratic equation if the value of its iscriminant is zero? A. The roots are real. B. The roots are irrational and not equal C. The roots are rational and not equal D. The roots are rational and equal. 25. Which of the following quadratic equations has no real roots? A. 2x + 4x = 3 С. Зх -2х- -5 B. x2 -8x - 4 0 D. -2x2 + x + 7 0
14. What is the first step in solving this equation, a + 10a + 21O by completing the square? A. Set the equation equal to zero B. Divide 10 by 2 and add the result to both sides RAN C. Add a and 10a together D. Subtract the 21 15. When completing the square, what do you do if your xa term has a coefficient? A. Divide both sides by this coefficient B. Multiplying both sides by this coefficient C. Nothing D. Move it to the other side. 16. Adrian is solving an equation by completing the square, what number should be added to both sides of the equation x2-22x =12 to make the expression at the left a perfect square trinomial? A. 2 В. 11 С. 44 D. 121 17. Solve the cquation 3x- 7x =6 by completing the square. A. 3 and C. 6 and B. 3 and - D. 6 and 18. Justin was tasked to solve the equation x-6x - 41-0 by completing the square. He needs to write it in the form (x-h)2+ k to easily solve the equation, which of the following will be his answer? A. (x-6)2+ 50 B. b. (x+6)2- 50 C. (x-3)2- 50 D. (x+3)2+ 50 19. Quadratic formula can be derived by applying the method of? A. Factoring B. Extracting Square Roots C. Completing the Square D. None of the above 20. Which of the following represents the quadratic formula? -b iv D+ 4ae С. х- A. x - 2a 2a D. x =bV b+ sac 2a В. х 2a 21. Given the quadratic equation x - 9x = -12, identify the value of b? A. 9 В. -9 С. 12 D. -12 22. What are the solutions of the equations x + 10x + 9 - 0 using quadratic formula? C. x - -4 + 5 A. x= -5 + 4 В. х - 5+4 D. x - 4 + 5 23. A quadratic equation ax + bx + c = 0 has no real roots, if C. ba - 4ac < 0 A. b2 - 4ac < 0 B. b-4ac - 0 D. b2 - ac < 0 24. What is the nature of the roots of the quadratic equation if the value of its iscriminant is zero? A. The roots are real. B. The roots are irrational and not equal C. The roots are rational and not equal D. The roots are rational and equal. 25. Which of the following quadratic equations has no real roots? A. 2x + 4x = 3 С. Зх -2х- -5 B. x2 -8x - 4 0 D. -2x2 + x + 7 0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 47PFA
Related questions
Question
help me to answer number 18, 24 and 25 pls :(
Transcribed Image Text:14. What is the first step in solving this equation, a + 10a + 21 O by completing the
square?
A. Set the cquation equal to zero
B. Divide 10 by 2 and add the result to both sides
C. Add a and 10a together
D. Subtract the 21
15. When completing the square, what do you do if your xa term has a coefficient?
A. Divide both sides by this coefficient
B. Multiplying both sides by this coefficient
C. Nothing
D. Move it to the other side.
16. Adrian is solving an equation by completing the square, what number should be added
to both sides of the equation x2-22x =12 to make the expression at the left a perfect square
trinomial?
В. 11
C. 44
D. 121
A. 2
17. Solve the equation 3x- 7x =6 by completing the square.
C. 6 and?
D. 6 and -
A. 3 and
B. 3 and -
18. Justin was tasked to solve the equation x-6x - 41-0 by completing the square. He
needs to write it in the form (x-h)2+ k to easily solve the equation, which of the following
will be his answer?
A. (x-6)2+ 50
B. b. (x+6)2- 50
C. (x-3)2- 50
D. (x+3)2+ 50
19. Quadratic formula can be derived by applying the method of?
A. Factoring
C. Completing the
D. None of the above
B. Extracting Square Roots
20. Which of the following represents the quadratic formula?
C. x=btV + 4ae
2a
-b tv b-4ac
A. X=
2a
btv b4ae
B. X
2a
2a
21. Given the quadratic equation x2 - 9x = -12, identify the value of b?
A. 9
В. -9
С. 12
D. -12
22. What are the solutions of the equations x2 + 10x + 9 0 using quadratic formula?
A. x= -5 + 4
B. x = 5 + 4
C. x = -4 + 5
D. x = 4 + 5
23. A quadratic equation ax + bx + c = 0 has no real roots, if
C. b2 - 4ac < 0
A. b? - 4ac < 0
B. b - 4ac = 0
D. b? - ac < 0
24. What is the nature of the roots of the quadratic equation if the value of its
discriminant is zero?
A. The roots are real.
B. The roots are irrational and not equal
C. The roots are rational and not equal
equal.
D. The roots are rational
25. Which of the following quadratic equations has no real roots?
A. 2x + 4x = 3
B. x2 -8x - 4 0
C. 3x2 - 2x = -5
D. -2x2 + x+ 7 = 0
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