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Unit 3 Lesson 16

Total questions: 14

Worksheet time: 15mins

Name
Class
Date
1.

What is the learning goal for today?

4 lines
2.

What do you notice? What do you wonder?

4 lines
3.

After writing step 1 in your notes, what are a, b, & c in the given equation.

a)

a=1

b=-6

c=7

b)

a=0

b=-6

c=7

c)

a=1

b=6

c=7

d)

a=0

b=6

c=7

4.

After writing step 2 AND the formula in your notes, answer the given question.

What do you think the next step will be?

a)

Substitute a, b, and c into the equation.

b)

Simplify the radical.

c)

Simplify the fracton.

d)

There is not a next step. The answer is complete.

5.

After substituting a, b, and c into the equation, you need to simplify. Write these steps in your notes so you have at least one example in your notebook. Looking at the last row, how did the fractions disappear?

4 lines
6.

What does x equal?

a)

10, -10

b)

10

c)

10i, -10i

d)

-10

7.

What does x equal?

a)

38, 38\sqrt[]{38},\ -\sqrt[]{38}

b)

38, -38

c)

no solution

d)

19

8.

What does x equal? (Hint: Use the quadratic formula. Make sure to check your answers!)

a)

5

b)

-5

c)

5, -5

d)

5\sqrt[]{5}

9.

What does x equal?

a)

-10, -4

b)

10, 4

c)

-10i, -4i

d)

10i, 4i

10.

What does x equal? Fully simplify both fractions.

a)

7+402-7+\frac{\sqrt[]{40}}{2}

7402-7-\frac{\sqrt[]{40}}{2}

b)

142+402-\frac{14}{2}+\frac{\sqrt[]{40}}{2}

142402-\frac{14}{2}-\frac{\sqrt[]{40}}{2}

c)

14+40-14+\sqrt[]{40}

1440-14-\sqrt[]{40}

d)

7+i 402-7+\frac{i\ \sqrt[]{40}}{2}

7i 402-7-\frac{i\ \sqrt[]{40}}{2}

11.

What does x equal? Fully simplify both fractions.

a)

56+1576\frac{5}{6}+\frac{\sqrt[]{157}}{6}

56+1576\frac{5}{6}+\frac{\sqrt[]{157}}{6}

b)

5+1575+\sqrt[]{157}

51575-\sqrt[]{157}

c)

52+1572\frac{5}{2}+\frac{\sqrt[]{157}}{2}

52+1572\frac{5}{2}+\frac{\sqrt[]{157}}{2}

d)

56+i 1576\frac{5}{6}+\frac{i\ \sqrt[]{157}}{6}

56+i 1576\frac{5}{6}+\frac{i\ \sqrt[]{157}}{6}

12.

What is the Quadratic Formula?

a)

b±b24ac2a\frac{b\pm\sqrt[]{b^2-4ac}}{2a}

b)

b±b24ac2a\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

c)

b±b4ac2a\frac{-b\pm\sqrt[]{b-4ac}}{2a}

d)

b±b24ac2\frac{-b\pm\sqrt[]{b^2-4ac}}{2}

13.

What does x equal?

a)

-2

b)

-2, 2

c)

2i, -2i

d)

2

14.

What does x equal? Fully simplify.

a)

710+8910\frac{7}{10}+\frac{\sqrt[]{89}}{10}

7108910\frac{7}{10}-\frac{\sqrt[]{89}}{10}

b)

710+8910-\frac{7}{10}+\frac{\sqrt[]{89}}{10}

7108910-\frac{7}{10}-\frac{\sqrt[]{89}}{10}

c)

7+897+\sqrt[]{89}

7897-\sqrt[]{89}

d)

710+i 8910\frac{7}{10}+\frac{i\ \sqrt[]{89}}{10}

710i 8910\frac{7}{10}-\frac{i\ \sqrt[]{89}}{10}