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

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a
• -b/a
• b/2a
• -b/2a

Tags

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

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

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

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Tags

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

Solve by completing the square. Round.
x² -4x = 5

• 11 and -7
• 1 and 3
• 1.73 and -1.73
• 5 and -1

Tags

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

x² -4 = 77

• 9
• -9
• No Real Solutions
• 9, -9

Tags

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

The Equation (x² + 1)² - x² = 0 has ___

• four real roots
• two real roots
• no real roots
• one real root

Tags

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

If you square 5 more than a positive number, the result is 88 more than 12 times the number.  Find the numbers.

• -9, 7
• √75
• 9, -7
• 15, -5

Tags

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

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

h = -16t2 + 288t + 8

How many seconds will it take for the rocket to reach a height of 1,304 feet?

• 9.0 seconds

• 9.6 seconds

• 81.0 seconds

• 82.0 seconds

Tags

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

Solve.

(x+10)(x-2) = 0

• x= 10 and 2

• x= -2 and 10

• x= -10 and 2

• x= -2 and -10

Tags

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

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50

Tags

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