Name: _______________________________
8th Grade Teacher: _______________
Wethersfield Public Schools
Algebra 1: Summer Packet
This packet contains topics that you are expected to know prior to entering Algebra 1.
You have learned these skills over the past few years. These examples focus on both
mathematical skills and problem solving. This packet should be completed
independently. Upon your completion, your parent/guardian needs to sign the packet.
Just like the new 11th grade assessment, some sections will require the use of a
calculator, while in other sections a calculator is prohibited. In the directions, it will say if
you are not allowed to use a calculator. If you are having a difficult time adding,
subtracting, and multiplying numbers, we suggest you study this over the summer. For
example, flashcards can be used to help you with basic facts. Also, you can do a Google
search for more practice problems.
There are links to instructional videos from Khan Academy to help you remember some
topics.
Due Date: Friday, August 30, 2013 You will be turning in the completed packet and filled
in Scantron sheet.
Multiple Choice: Please record all of your answers for this section on the Scantron sheet
provided.
Open-Ended: Complete all the work for the open-ended section directly in the packet.
If you have any questions regarding this packet, please email Mr. Komar at
[email protected].
Please show your work in the packet. You will be assessed on this material at the
beginning of the school year. Good Luck!
Parent/Guardian Signature: _________________________________ Date: ____________
Algebra I – Summer Packet Multiple Choice Questions
Directions: Please place your answers for this section on the Scantron sheet provided.
Order of Operations: Simplify the following expressions Without a Calculator.
Kahn Academy Link: http://www.khanacademy.org/math/arithmetic/multiplicationdivision/order_of_operations/v/introduction-to-order-of-operations
1.
6.
a.
b.
c. 16
d.
2.
|
(
a.
b.
c.
d.
|
7.
a.
b.
c.
d.
a.
b.
c.
3.
d.
a.
b.
c.
d.
8.
a.
b.
4.
c.
a.
b.
c. 15
d. 25
5.
|
( )(
)(
d.
9.
)(
)
a.
a.
b.
c.
d.
b.
c.
d.
)
|
Evaluating Expressions: Simplify the following expressions Without a Calculator.
Kahn Academy Link http://www.khanacademy.org/math/algebra/solving-linear-equationsand-inequalities/variable-and-expressions/v/evaluating-expressions-with-two-variables
10.
when
13.
a.
b.
c.
d.
a.
b.
c.
d.
11.
when
and
a.
b. 10
c.
d.
12. |
when
and
8
14.
when
and
a. 1
b.
c.
d.
|
when
and
a.
b.
c.
d.
Algebraic Expressions: Simplify the expression Without a Calculator.
Kahn Academy Link to Simplifying Expressions http://www.khanacademy.org/testprep/california-standards-test/algebra-i/v/ca-algebra-i--simplifying-expressions
Kahn Academy Link for the Distributive Property http://www.khanacademy.org/
math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solvingequations-with-the-distributive-property
Kahn Academy Link to Dividing Fractions http://www.khanacademy.org/math/
arithmetic/fractions/ multiplying_and_dividing_frac/v/dividing-fractions
Kahn Academy Link to Multiplying Fractions http://www.khanacademy.org/math/arithmetic/
fractions/multiplying_and_dividing_frac/v/multiplying-fractions
Kahn Academy Link to Multiplying and dividing Negative Numbers
http://www.khanacademy.org/math/arithmetic/absolutevalue/mult_div_negatives/v/multiplying-positive-and-negative-numbers
Kahn Academy Link to Combining Like Terms
http://www.khanacademy.org/math/algebra/solving-linear-equations-andinequalities/manipulating-expressions/v/combining-like-terms-and-the-distributive-property
15.
21.
a.
b.
c.
d.
16.
(
)
22. (
)
)
a.
b.
c.
d.
a.
b.
c.
d.
17. (
(
a.
b.
c.
d.
23.
)
(
)
a.
b.
c.
d.
a.
b.
c.
d.
(
24.
)
18.
a.
b.
c.
d.
a.
b.
c.
25.
d.
19.
(
a.
b.
c.
d.
)
a.
b.
c.
d.
26.
(
20.
a.
b.
c.
d.
(
)
a.
b.
c.
d.
)
27.
(
a.
b.
c.
d.
)
Solving Equations: Solve for the indicated variable Without a Calculator.
Kahn Video Link for Solving for a variable http://www.khanacademy.org/math/algebra/
solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-2
28.
33.
a. 8
b. 26
c.
d. 8
29.
a. 3
b.
c.
d.
34.
a.
b.
c.
d.
a.
b.
c.
d.
15
30.
35.
a. 6
b.
c.
10
d.
a.
b.
c.
d.
4
31.
36.
(
a.
b. 17
c. 23.75
d.
32.
(
)
a.
b.
c.
d.
0
16
No Solution
All real numbers
)
(
37.
a. 4
b.
c. 6
d. 7
)
a.
b. 1
c. No Solution
d. All Real Numbers
38.
(
)
a.
b.
c.
d.
0
8
No Solution
All Real Numbers
Algebra I – Summer Packet Open-Ended Questions
Directions: Please write all of your answers for this section in the packet. (Remember:
you are turning in the entire packet)
Simplify/Evaluate the following expressions Without a Calculator.
1. |
|
(
)
2.
3.
4.
(
5.
)
(
)
6.
when
(
)
Solve the equation for the indicated variable Without a Calculator.
7.
8. Write and simplify an expression for the perimeter and area of the figure below.
5
𝑥
Perimeter: _____________________
Area: ______________
Verbal expression: Translate the verbal phrase into an expression or equation.
Kahn Link to Writing Expressions: http://www.khanacademy.org/math/algebra/solving-linearequations-and-inequalities/manipulating-expressions/e/writing_expressions_1
9.
Twice the sum of a number x and 4.
10. 5 less than a number x.
11. The product of 16 and x is less than 32.
12. The sum of six and a number.
13. A number x decreased by nine.
14. The quotient of a number x and 2 is greater
than 9.
15. The square of a number x plus 3.
16. A number x greater than 12 is equal to 17.
17. Three more than the difference of five and a
number n.
18. Six less than four times a number y.
19. A number y decreased by the sum of eight and the square of another number x.
Word Problems: Write the equation and then solve the following word problems.
20. During the move to his new house, Seth rented a U-Haul truck for $39.95 plus a mileage charge of
$1.08 per mile. If Seth spent $97.19 for the rental, how many miles did he drive the truck?
EQUATION: _____________________________
X represents: ____________________
ANSWER: _____________
21. A Health Club charges nonmembers $8 per day and $5 per day for aerobics classes. Members pay a
yearly fee of $200 plus $3 per day for aerobics classes. Write and solve an equation to find the
number of days you must use the club to justify a yearly membership.
EQUATION: _____________________________
X represents: ____________________
ANSWER: _____________
22. A parking garage charges $3.00 plus $1.50 per hour. You have $11 to spend for parking. Write and
solve an equation to find the number of hours that you can park.
EQUATION: _____________________________
X represents: ____________________
ANSWER: _____________
23. You make $8.50 per hour. If you have $125 saved, how many hours do you have to work to have
$1000 in your bank account?
EQUATION: _____________________________
X represents: ____________________
ANSWER: _____________
Mixed Review: Answer the following questions.
24. Factor 72 (Hint: use a factor tree)
25. Find the greatest common factor (GCF) of 24 and 40.
26. Write the fraction in simplest form
27. Write the multiplication expression using exponents.
28. Express
as a fraction in simplest form, as a decimal, and as a percent.
Fraction: ______________
Decimal: ______________
Percent: __________
29. Solve for c.
30. Express
31. Express
32. Write the 16% as a fraction in simplest form.
as a percentage.
33. What is 60% of 900?
as a percentage.
34. What is 8% of $58?
35. 15 is what percent of 125?
Slope: Calculate the slope of the line passing through the given points.
36. (
)
(
)
37. (
)
(
)
38. (
)
(
)
Graphing Equations: Use any method to graph the following equations.
39.
40.
41.
42.
and
(Please label each line)
Pythagorean Theorem: Find the missing length in the triangle. Round to the nearest hundredth if
necessary. Calculator Friendly!
43.
44.
18
x
15
12
20
x