Quadratic Equations - Full topic

Solve the following quadratic equation...

x² + 9x + 20 = 0

• x = -2

  x = -10

• x = -5

  x = -4

• x = -1

  x = -20

• x = 4

  x = 5

Tags

CCSS.HSA-REI.B.4B

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

Fill the blank space to complete the perfect square trinomial
x²-18x+____=(x- ____)²

• 9 and 3 respectively
• 81 and 9 respectively
• -9 and -3 respectively
• -81 and -9 respectively

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

If  $\frac{1}{2}$  is a root of the equation   $x^2\ +\ kx\ -\ \frac{5}{4}$  then the value of k is

• 2

• -2

• 3

• -3

A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

• 3

• 8

• 4

• 7

The positive root of  $\sqrt{3x^2\ +\ 6}\ =\ 9$  is  

• 3

• 5

• 4

• 7

In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

• 12,18

• 13,17

• Both 12,18 and 13, 17

• None of these

A motorboat whose speed in still water is 18 km/hr, takes 1 hour more to go 24km upstream than to return downstream to the same spot. Find the speed of the stream.

• 6 km/hr

• 8 km/hr

• 10 km/hr

• 12 km/hr