Quiz about Solving Quadratics by Reasoning

Question 1

What are the solutions to this equation?
(3x-2)(5x+1)=0

Accepted Answer

x=2/3,-1/5

Answer

x=5/2,-1/3

Answer

x=1/5,-2/3

Answer

x=1/3,-5/2

Question 2

What are the solutions?

Accepted Answer

2 and 4

Answer

0 and 8

Answer

-2 and -4

Answer

3 and -1

Question 3

What is another word that describes the zeroes of a quadratic function?

Accepted Answer

x-intercepts

Answer

y-intercepts

Answer

vertex

Answer

maximum

Question 4

Solve by factoring:
2x² + 11x - 6 = 0

Accepted Answer

1/2 and -6

Answer

6 and -1/2

Answer

2 and -6

Answer

11

Question 5

Solve by factoring:
x² - 11x + 19 = -5?

Accepted Answer

(x - 3)(x - 8)

Answer

(x + 12)(x - 2)

Answer

(x + 3)(x + 8)

Answer

(x - 12)(x + 2)

Question 6

Solve by square roots (SADMEP)

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 7

Solve by square roots (SADMEP)
x² - 64 = 0

Accepted Answer

8 or -8

Answer

64

Answer

8

Answer

1 or -64

Question 8

Solve using the quadratic formula

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 9

Solve using the quadratic formula

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

Solve using the quadratic formula

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 11

Solve the following equation using the quadratic formula:
2x² - 5x - 7 = 0

Accepted Answer

{7/2, -1}

Answer

{-7/2, 1}

Answer

{-7/2, -1}

Answer

{3, -1}

Question 12

Solve using the quadratic formula:
3x² - 36x = 39

Accepted Answer

13 or -1

Answer

6 or -6

Answer

1 or -13

Answer

36 or -39

Question 13

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

Accepted Answer

Subtract the 21

Answer

Set the equation equal to zero

Answer

Divide 10 by 2 and add the result to both sides

Answer

Add a² and 10a together

Question 14

What do you do to the b value to correctly complete the square?

Accepted Answer

divide it by 2 and square the result

Answer

square it

Answer

divide it by 2 and take the square root of the result

Answer

divide it by 2 only

Question 15

Solve by completing the square:
x² + 6x - 27 = 0

Accepted Answer

3 or -9

Answer

9 or -3

Answer

6 or -6

Answer

27 or -3

Question 16

Solve by completing the square:
x² + 10x = 75

Accepted Answer

5 or -15

Answer

15 or -5

Answer

10 or -10

Answer

10 or 75

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