CCSS.Math.Content.HSA.REI.B.4

The profit from selling local ballet tickets depends on the ticket price.  Using past receipts, we find that the profit can be modeled by the function p= -15x² +600x +60 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?

• $6060
• $20
• $600
• $10,250

Tags

CCSS.Math.Content.HSA.REI.B.4

What is the x-intercept of the graph of y = x² – 4x + 4 ?

• -2
• -1
• 1
• 2

Tags

CCSS.Math.Content.HSA.REI.B.4

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Tags

CCSS.Math.Content.HSA.REI.B.4

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 it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.Math.Content.HSA.REI.B.4

____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

Tags

CCSS.Math.Content.HSA.REI.B.4

Solve the following equation for x:
0 = (x − 3)² − 25

• x = 8 and x = −2
• x = 8 and x = −8
• x = 8 and x = 2
• No real solutions

Tags

CCSS.Math.Content.HSA.REI.B.4

What is the discriminant for 5x² + x − 2 = 0

• -39

• 42

• -41

• none of these

Tags

CCSS.Math.Content.HSA.REI.B.4

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

Tags

CCSS.Math.Content.HSA.REI.B.4

What are the roots of the quadratic equation 2x² + 6x - 20 = 0?

• 2 and 5

• -2 and 5

• 2 and -5

• -2 and -5

Tags

CCSS.Math.Content.HSA.REI.B.4

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take the rock to reach the river (ground)?

• 4.5 seconds

• 2.5 seconds

• 3.8 seconds

• 3.5 seconds

Tags

CCSS.Math.Content.HSA.REI.B.4