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Unit 4 Test

Last updated almost 4 years ago
26 questions
Note from the author:
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You do NOT have to show your work.
3) Check your answers. Pay careful attention that you gave what the question was asking for. Check formatting especially.
4) Submit the test. Do the Checkpoint Survey. Let me know if GoGuardian blocks you.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing
Desmos - Scientific
Quadratic Regression

Formulae
The imaginary number: i^{2} = -1
Discriminant: d = b^{2} - 4ac
Quadratic Formula: x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You do NOT have to show your work.
3) Check your answers. Pay careful attention that you gave what the question was asking for. Check formatting especially.
4) Submit the test. Do the Checkpoint Survey. Let me know if GoGuardian blocks you.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing
Desmos - Scientific
Quadratic Regression

Formulae
The imaginary number: i^{2} = -1
Discriminant: d = b^{2} - 4ac
Quadratic Formula: x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}
1

Simplify the expression below. Use a+bi format for your answer, where "a" and "b" are real numbers. Do not put spaces in your answer.

(7+i) - (6-4i)

1

Simplify the expression below. Use a+bi format for your answer, where "a" and "b" are real numbers. Do not put spaces in your answer.

(4-5i)(-1-7i)

1

Simplify the expression below. Use a+bi format for your answer, where "a" and "b" are real numbers. Do not put spaces in your answer.

(-7+3i)2 + (-2+8i)

1

Simplify the expression below. Use a+bi format for your answer, where "a" and "b" are real numbers. Do not put spaces in your answer.

(2+6i)(2-6i)-50

1

What is the apparent solution set for the equation associated with the graph shown on the left?

1

Solve for x:

x2 + 9x -83 = 4x +1

Use x={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Solve for x:

25x2 + 1 = 10

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions. Do not use decimals.

1

Solve for x:

6x2 = 3 - 7x

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions.

1

Solve for x.

2x2 + 11 = 131

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions or radicals.

1

Solve for x.

\frac{1}{3}x2 - 10 = -37

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions, radicals, or imaginary numbers.

1

Solve for x.

(2x+3)2 = 36

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions, radicals, or imaginary numbers.

1

Solve using the quadratic formula.

x2 + 3x - 9 = 0

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions, radicals, or imaginary numbers.

1

Solve using the quadratic formula.

3x2 + 9 = 6x

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions, radicals, or imaginary numbers.

If you fully simplify this one, you won't have a denominator.

1

Solve using the quadratic formula.

-x2+16 = 6x+1

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. Simplify any fractions, radicals, or imaginary numbers.

If you fully simplify this one, you won't have a denominator.

1

Which functions have at least one real root? Check ALL that apply. (4)

1

Find the discriminant.

3x2 + 15x + 19 = 0

Enter your answer as a number.

1

Find the discriminant.

9x2 + 24x = 0

Enter your answer as a number.

1

Find the discriminant.

-x2-4x+16 = 0

Enter your answer as a number.

1

Find the discriminant.

4x2 + 28 = 0

Enter your answer as a number.

1

The discriminant of a certain quadratic equation is 4. Which of the follow is true for the quadratic?

1

The discriminant of a certain quadratic equation is -36. Which of the follow is true for the quadratic?

1

The discriminant of a certain quadratic equation is 121. Which of the follow is true for the quadratic?

1

The discriminant of a certain quadratic equation is -54. Which of the follow is true for the quadratic?

1

A ball is tossed so that the ball's height, h, after t seconds can be represent by the equation h(t) = -16t2 + 40t + 4. What is the maximum height reached by the ball, in feet?

Enter your answer as a number, no spaces.

1

A ball is tossed so that the ball's height, h, after t seconds can be represent by the equation h(t) = -16t2 + 40t + 4. How long, in seconds, did it take for the ball to reach the ground? Round your answer to the nearest hundredth.

Enter your answer as a number to 2 decimal places, no spaces.

1

How do you effectively check your work after you solve an equation for x?