Linear and Quadratic Systems

Which of the following represents the first step in solving:

y = x² + 3x - 5

y = x + 3

• x² - 3x + 5 = x - 3

• x² + 3x - 5 = x + 3

• x² + 3x - 5 + x + 3 = 0

• x² + 3x - 5 = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following equations could be used to solve:

y = x² + 7x - 9

y = x + 11

• I don't care, I'm taking this class again next year

• x² + 6x - 20= 0

• x² + 7x - 9 + x + 11 = 0

• x² + 8x - 20 = 0

Given the system 
y = x² + 3x - 5
y = x + 3
Write the substitution equation (x² + 3x - 5 = x + 3) in standard form.

• x² + 4x - 2 = 0
• x² - 2x + 8 = 0
• x² + 2x - 8 = 0
• x² + 4x - 8 = 0

Tags

CCSS.HSA.REI.C.7

What are the factors of x² + 2x - 8?

• (x + 4)(x + 2)

• (x - 4)(x - 2)

• (x - 4)(x + 2)

• (x + 4)(x - 2)

Find the solution.

• (4,2) and (0,9)
• (-4,-1) and (2,5)
• (5,3) and (5,2)
• (-4,2) and (5,9)

Tags

CCSS.HSA.REI.C.7

Find the solution if  $f\left(x\right)=x^2-8x+12\ and\ f\left(x\right)=4x-8$  

• (-3,5) and (10,20)

• (5,3) and (1,0)

• (2,0) and (10,32)

• (-30,6) and (9,2)

Robert threw a rock off a bridge into the river. The distance from the rock to the river is modeled by the equation y=-16x²-16x+60, where h is the height in feet and t is time in seconds. There is a bird flying on a path given by the equation y=5x+10. Does the rock hit the bird? If so, at what time and height?

• It doesn't hit the bird

• Yes, 1.23 seconds, 16.15 feet

• Yes, 16.15 seconds, 1.23 feet

• Yes because I hate birds.

A quarter is thrown from a building at the same time a balloon is released from the ground. The equation of the quarter in feet is y = 64 - 2x² , where x is the time in seconds. The equation of the balloon in feet is y = 6x + 8. After how many seconds will the balloon and quarter intersect?

Check your solution for reasonableness.

• 4 and -7 seconds

• -7 seconds

• 4 seconds

• 4 and 7 seconds

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x² - 4

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

Tags

CCSS.HSA.REI.C.7

Which of the following graphs correctly represents:

y=x²

y=-2x+1

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