Name________________________Class___________

Date____________

End of the Year Diagnostic

Directions: Please complete as many questions as possible. If you do not remember a topic, please try

your best. Be sure to show all work!

1. Evaluate the following expression where a = – 5, b = 1, and c = – 4

4√2a2 −b

2

2. Simplify the following expression.

24 − 8 ÷ 2 · 4 − ||3 − 23 ||

+c

3. Solve for x.

2

3 (x

+ 5) = 4

4. Solve for x.

5. Solve for n.

2(x − 4) + 35 > − 5(x − 1) + 1

6. Simplify the following expression.

2

a6 b c8

7

a2 b c8

n−15

2

=

n+3

10

−3

7. Simplify the following expression.

(4k 3 + 3k 2 ) − (3k 3 − 4k + k 2 ) + (5k 2 + 5k)

8. Simplify the following expression.

2

(x − 3)(7×2 + 8x − 1)

(3x − 7)

10. Divide and simplify.

4

8

9. Simplify the following expression.

11. Factor the polynomial.

6

2

(2x + 32x + 8x ) ÷ 8x

20m7 + 28m3 − 12m2

12. What is the percent increase from 625 to 875?

13. Circle the letters of the table(s) below that do not show an example of a proportional relationship

between x and y. For each table below that does exhibit a proportional relationship, give the constant of

proportionality, k.

a.

b.

c.

d.

x

y

x

y

x

y

x

y

3

4

-4

20

2

24

1

½

6

10

-3

15

4

12

2

1

9

16

-2

10

6

8

3

1½

12

22

-1

5

8

6

4

2

k = _________

k = _________

k = _________

k = _________

14. There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many are adults?

This must be done algebraically.

15. A tennis player asks the referee a question. The sound of the player’s voice travels only 30 feet. Can

the referee hear the question? Explain.

16. Find the area of the shaded region.

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more