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Unit 3B Quiz

Last updated over 3 years ago
12 questions
1

When the expressions x2 – 9 and x2 – 5x + 6 are factored, what factor do they have in common?

1

Write the following standard form equation in factored form:
4x2 - 35x + 49

1

Solve 3x2 + 7x – 20 = 0. Write your answer in brackets (ex. {1,2/3})

1

Solve the quadratic equation 2x2 + 5x – 1 = 0 using the quadratic formula. Use the keyboard button to find symbols.

1

If (x - 3)2 = 5, then what values of x make the quadratic equation true? Write your answer in brackets (ex. {1,2})

1

The graph of y = x2 – 4 is shown. Which are solutions to x2 – 4 = 0?

1

Write this quadratic function in standard form:

(3x - 4)(3x + 4)

1

The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area. What is the missing value? (I got the answer wrong. Take your previous answer and multiply by negative 2.)

Use this information to answer questions 9-12:
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by this function:
h(x) = –16x2 + 64x + 80.
1

What is the starting height of the balloon?

1

How many hours have passed when the hot air balloon lands on the ground?

1

What is the maximum height, in feet, that the balloon will reach?

1

The balloon will reach its maximum height after how many hours?