Solving Quadratics (Factor, SquareRoot & Quadratic Formula)

1.

Multiple Choice

1 min

1 pt

Solve by factoring: x² - 9x + 20 = 0

x = -4 and x = -5

x = 20 and x = -9

x = 4 and x = 5

x = -4 and x = 5

2.

Multiple Choice

1 min

1 pt

Factor: 49x² - 100

(49x + 100)(x - 1)

(7x - 10)(7x + 10)

(49x - 10)(x + 10)

(7x -10)(7x - 10)

3.

Multiple Choice

1 min

1 pt

Factor: 3x²- 6x - 24

(3x - 8)(x + 3)

(3x + 4)(x - 6)

3(x - 2)(x + 4)

3(x + 2)(x - 4)

4.

Multiple Choice

1 min

1 pt

7x² - 26x - 8 = 0

x = -1 and x = -7/8

x = 4 and x = -2/7

x = -4 and x = 2/7

x = 4 and x = -7/2

5.

Multiple Choice

1 min

1 pt

-5x² = -50

± 5

± 10

± √10

-10

6.

Multiple Choice

1 min

1 pt

(x + 1) ² = 25

± 5

4 or -6

-4 or 6

± 4

7.

Multiple Choice

30 sec

1 pt

Solve by taking square roots:
5b² - 4 = 41

b = 9, b = -9

b = 3, b = -3

b = 8, b = -8

no solution

8.

Multiple Choice

5 mins

1 pt

Solve
(x+3)²-5 = 9

-3±√14

3±√14

±11

±5

9.

Multiple Choice

1 min

1 pt

Solve 14 - x² = 17

x = ±1.73

x = 3

no solution

x = -3

10.

Multiple Choice

2 mins

1 pt

Identify the 'a' value:
y = 16x² - 8x - 24

16

8

-8

-24

11.

Multiple Choice

2 mins

1 pt

Identify the 'b' value:
y = 16x² - 8x - 24

16

-8

8

-24

12.

Multiple Choice

2 mins

1 pt

Identify the 'c' value:
y = 16x² - 8x - 24

16

-8

24

-24

13.

Multiple Choice

1 min

1 pt

The discriminant is

ax² + bx + c

b - 4ac

b² - 4ac

b² + 4ac

14.

Multiple Choice

5 mins

1 pt

What is this formula?

This is the speed of light formula.

This is the quadratic formula.

This is the zero product property.

This is scary.

15.

Multiple Choice

30 sec

1 pt

What is the following called? b²- 4ac

Axis of symmetry

Quadratic Formula

Vertex

Discriminant

16.

Multiple Choice

3 mins

1 pt

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3
*remember right side should =0

a = 4, b = -8, c = 3

a = 4, b =-8, c =-3

a = 4, b = 8, c = 3

a = 4, b = 8, c = -3

17.

Multiple Choice

2 mins

1 pt

What should you do first in solving this equation?
x² + 6x - 13 = 3

Get factored form

Write down: a=1, b=6, c=-13

Make the equation equal 0 by subtracting 3 on each side

Type it all in a calculator.

18.

Multiple Choice

3 mins

1 pt

Solve
2x² + 7x - 15 = 0

-1.5 or 5

No Solution

-5 or 1.5

0.7 or 5

19.

Multiple Choice

5 sec

1 pt

Solve for x. Round to the nearest hundredth if necessary.
3x² = 16x + 12

x = -.67, 6

x = -6, .67

x = 3.33, 18

x = -3.33, 18

20.

Multiple Choice

15 mins

1 pt

Solve for x. Round to the nearest hundredth if necessary.
2x² = -x + 3

x = -1, 1.5

x = 1.5, -1

x = 1, 1.5

x = -1.5, 1

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