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Distributive Property
Equations
More Equations
Solving quadratic equations
Solving quadratic equations.
100
Demonstrate the Distributive Property with 3(x+7)
What is 3x + 21
100
Suppose a race car travels at an average rate of 165 miles per hour for 3 hours. What distance did the race car travel?
What is 495 miles
100
Solve y + 6 = 18
What is y = 12
100

How do you know if an equation is a quadratic?

A. If it has an exponent of 4.

B. If it has no exponent.

C. If it has 3 terms.

D.  If an exponent of 2 is the highest exponent.

D.  If an exponent of 2 is the highest exponent.

100

Solve by factoring and setting each factor equal to )

b2 + 8b + 7 = 0

b = -7 and b = -1

200
Demonstrate the Distributive Property with (5x - 8)6
What is 30x + -48
200
What is the speed in miles per hour of a cyclist who travels 63 miles in 7 hours?
What is 9 mph?
200
Solve 2y - 4 = 8
What is y = 6
200

If an equation has a degree higher than 2 is it still quadratic?

No

200

Solve by factoring and setting each factor equal to 0

n2 - 11n + 10 = 0

n = 10 and n= 1

300
Demonstrate the Distributive Property with -4(x-3)
What is -4x + 12
300
Simplify 5m - 3 - 9m + 4
What is -4m - 1 or -4m + -1
300
Solve h - 13 = -7
What is h = 6
300

Which one of these is not quadratic?

A. 2x2 + 4x - 16 = 0

B. 8x4 + 16x + 32 = 0

B. Because the exponent is 4

300

Solve each equation by factoring and setting each factor equal to 0.

m2 + 2m - 24 = 0

m=-6 and m=4

400
Demonstrate the Distributive Property with (-7 + 5x)-5
What is -35 + -25x
400
Translate the sentence into an equation. Then solve the equation: The difference between 8 times a number and 4 is 28
What is 8n - 4 = 28 n = 4
400
Solve k = -12 --- -2
What is k = 24
400

Is 2x2 - 3x = 0 quadratic?

Yes even though it has only two terms it still has a degree of 2.

400

Solve by factoring and setting each factor equal to 0.

3p2 - 2p - 5 = 0

p = 5/3 and p = -1

500
-3(-4x - -4)
What is 12x - 12
500
Translate the sentence into an equation. Then solve the equation: If 17 is decreased by twice a number, the result is 5.
What is 17 - 2n = 5 n = 6
500
Solve 6h - 5h + 3 =-2
What is h = -5
500

What can you do to make this equation a quadratic to solve it?

4x3 + 16x2 + 256x = 0

Factor out an x

500

Solve this quadratic.  Factor and set each factor equal to 0.  Hint:  Factor out a number first!

15n2 - 27n - 6

n = -1/5 and n = 2