Accelerated

Algebra 1 & Geometry

Summer Work We hope you have a great summer. Since it would be in your

best interest to review some mathematics this summer in

preparation for this challenging and fun class, we’re providing

you with a few review problems for you to complete this

summer. These are all problems that you will need to know how

to do before the school year starts. These are concepts that

were covered in your 7th or 8th grade math classes. We will

collect these problems on the first day of school. They may be

graded for accuracy. You will have a quiz over this material

during the first week.

If you have any questions, we have included websites at the end

of the packet that can help you in completing it.

Start your year off on the right track by completing these

problems before school starts! Once again, the packet is due

when you walk through the door the first day of class. We look

forward to seeing you in August!

Please feel free to email me:

robert.tamara@mail.fcboe.org

You will receive an email invite to join the Accelerated

Algebra 1/Geometry Google Classroom website. Please join as

soon as possible. If you don’t receive an email please join the

AAG Google Classroom website using the following code:

end0pt.

DUE 8/7/2017

Name: __________________________

Know the following terms:

a. variable b. rational numbers c. irrational numbers d. real numbers

e. integers f. function g. exponent h. perfect squares

i. perfect cubes j. average rate of change k. Pythagorean Theorem l. hypotenuse

m. parallel lines n. transversal o. supplementary angles p. complementary angles

q. corresponding <’s r. alternate interior <’s s. alternate exterior <’s t. consecutive interior <’s

u. vertical angles

For all of the following problems you must show your work. If only answers are given NO CREDIT

will be given. Some questions only require you to look at a graph and get a value, but most require

work.

#1 - 3 Evaluate the algebraic expressions below (no decimal answers):

1. n2 - 25 a) when n = -10 b) when n = 1/2

2. 2

147 d a) when d = -2 b) when d = 6/7

3. 2 x - x a) when x = 16 b) when x = 1/4

4. Write an algebraic expression for the situation. Define the variable, then evaluate the expression

for the amount given. Andrea wants to buy a photo book from an online photo printing service.

The book costs $14.98 plus $0.39 for each photo printed in the book. How much will she pay if

she wants to have 35 photos in the book?

5. Use the graph to the right, to answer the following

questions. What will the fine be for a book that is

a) 3 days overdue b) 10 days overdue?

6. Operations with Fractions – Simplify the following fractions:

a) 1 3

2 5 b)

4 3

9 8 c)

14

2 d)

5 7

8 4 e)

3 5 1

10 2 4

7. Solve the equations for x: a) -x - 20 = 14 b) 13 - 7

x = 6 c) 8

7

2

x

Name: __________________________ 8. Solve the equations for x: SHOW WORK!

a) 3(2x+7) - 3x = 18 b) -14 = -2(5-x) + 16 c) 5

2

10

7

5

3x

9. Solve the inequality 21 - 9x > - 6

10. Solve the graph of each linear inequality:

a) b)

11. Answer the questions about the graph to the right that

represents a dieter's weight loss over a year’s period.

a) Describe what happens between months 3 and 5.

b) Circle where the graph increases and interpret the meaning.

c) During which months did the dieter lose weight the fastest?

d) What is the rate of change that occurs between

months 10 and 12?

12. Identify the slopes and y-intercepts of the linear equations below.

a) y = -2x - 8 b) y = 3 c) x = 9 d) y = x e) 2x + 3y = 5

13. Identify the x and y-intercepts: 3x - 4y= 12 and graph the equation.

Name: __________________________ 14. Write the equation for a line that has a slope of -2 and passes through the point (4,7).

15. Write the equation of the line given the points (3,25) and (4, 31).

16. Write an equation of the line shown in the graphs below: (The graph’s scale is 1 unit)

a) b)

17. Solve the system of equations by graphing (Remember to write your answer as an ordered pair)

a)

xy

y

2

4 b)

22

1

4

xy

x

18. Solve the system of equations using the substitution method

a)

xy

yx

7

169 b)

63

3242

yx

yx

19. Solve the system of equations using the elimination method.

a)

39

97

yx

yx b)

3534

4952

yx

yx

Radicals:

20. Approximate the answer to the nearest tenth and explain your answer (no calculators):

a) 11 b) 48 c) 300

Name: __________________________ Exponents:

21. Identify the parts of the expression 5x4 as either the base, coefficient, or exponent.

22. Simplify each expression

a) (m4)2 b) (2x3y)4 c) a-3 b-2 d) 52

1x

Pythagorean Theorem:

23. How far up a wall will an 11m ladder reach, if the foot of the ladder must

be 4m from the base of the wall?

24. How long is the hypotenuse, if two sides of a right triangle are 3 and 4?

These three numbers (the lengths of the two sides and hypotenuse) are called a Pythagorean

triple, define and find another example of a Pythagorean triple.

Parallel Lines, transversals and their angles:

25. If m ll n ll o and p is a transversal, find the following:

(Use the diagram to the right for #33 – 38)

a) State a pair of corresponding angles:

b) State a pair of alternate interior angles:

c) State a pair of alternate exterior angles:

d) State a pair of same-side interior angles:

e) State a pair of corresponding angles:

f) State a pair of vertical angles:

g) State a pair of supplementary angles:

Name: __________________________ 26. What is the measurement of angle L?

27. What is the measurement of angle M?

28. What is the measurement of angle S?

29. If the m<J is 2x, what is x?

30. If the m<K is 4y – 7, what is y?

31. Write down at least two questions you have for me about this math class.

__________________________________________________________________

__________________________________________________________________

__________________________________________________________________

Resources:

Fractions:

http://www.purplemath.com/modules/fraction4.htm

http://www.purplemath.com/modules/fraction3.htm

Solving equations:

http://regentsprep.org/Regents/math/ALGEBRA/AE2/LSolvEq.htm

Inequalities:

http://www.regentsprep.org/regents/math/algebra/ae8/compoundlinequal.htm

http://www.mathsisfun.com/algebra/inequality-solving.html

Linear equations:

http://www.purplemath.com/modules/strtlneq.htm

Solving Systems of Linear Equations:

http://math.about.com/od/linearequations/tp/leje2.htm

Radicals:

http://www.gaston.k12.nc.us/schools/cramerton/faculty/kllasky/Course%20Outline%20and%

20Syllabus/Textbook/Ch%2011/Text%2011.2%20Approximating%20Square%20Roots.pdf

Exponents:

http://www.coolmath.com/algebra/01-exponents/06-exponent-rules-putting-rules-1-4-

together-01.htm

Pythagorean Theorem:

http://www.mathsisfun.com/pythagoras.html

Parallel Lines and Transversals:

http://www.studyzone.org/mtestprep/math8/g/8parallelanglepairsl.cfm