Algebra 1 Summer Packet
Prerequisite Skills
This packet includes material from your 7th and 8th grade math classes. You will be quizzed on this
material during the first week of class. There may be some terms in this packet that you do not
remember, but that’s okay. It is then your responsibility to try look them up or seek some help otherwise.
You should be comfortable with the majority of these questions after spending some time researching
and/or reviewing.
Math Department 8-12 Summer Skills
– Philosophy –
We believe these are the skills you need to be successful in your math journey, especially your upcoming
course next year.
The summer skills assigned will not be graded or collected. Also the answers are provided, so there is no
reason to copy work from someone else. Questions and topics are labeled, so that you can identify what
you don’t understand and you can find resources to help you meet with success. You may have different
strengths and challenges than your peers; do what YOU need to be successful. Set yourself up for success
by making a plan and taking ownership of your learning. You will have an assessment during the first
week of classes. Your specific questions will be answered, but teachers will not review every question.
For HS semester classes, we recognize that you may not begin your course until January, but you are still
responsible for the “summer skills” and will have an assessment during the first week of classes of
Semester 2.
Name _____________________________________________
Algebra 1 – Mr. Parkins
Date ___________
Block _____
Algebra 1 Summer Packet
Solve the word problem.
Find each product or quotient.
5.
–15(–2)
1. Jimmy rode his bike 1.2 miles to his friend’s house,
then 0.7 miles to the video store, then 1.9 miles to the
library. If he rode the same route back home, how far
did he travel in all?
6.
–22 ÷ 11
Find each sum or difference.
2.
–15 + 6
Replace the blank between the numbers with <, >, or =
to make a true sentence.
7.
3.
0.15
[ ] 18
18.4 – (–3.2)
Find each sum or difference. Write in simplest form.
8.
4.
5
6
+
2
+
4
3
–5.6 + (–30.7)
9.
1
2
9
Find the product.
10.
2.4(–0.7)
𝟏
𝟐
Find the perimeter and area (𝑨 = 𝒃𝒉) of the triangle.
14.
Name the reciprocal of the number.
11.
4
11
Find each product or quotient. Write in simplest form.
12.
13.
2
21
÷
Find the circumference and area of the circle given
that 𝑪 = 𝟐𝝅𝒓 and 𝑨 = 𝝅𝒓𝟐 . Round to the nearest
tenth.
15.
1
3
6
5
( ) (− )
2
25
Find the volume and surface area of the rectangular
prism given the measurements, and given that
𝑺𝑨 = 𝟐(𝒍𝒘 + 𝒘𝒉 + 𝒍𝒉) and 𝑽 = 𝒍𝒘𝒉.
16. 𝑙 = 3 cm, w = 1 cm, h = 3 cm
Answer #17-18 regarding the 𝒙𝒚-coordinate plane.
19. Which functions are LINEAR and which are NONLINEAR?
17. Plot the following coordinates on the given axis.
A (2, −3)
B (−3, −1)
C (0, 4)
20. Use the distributive property to simplify:
a. 4(𝑥 − 5)
b. 2𝑥(3𝑥 − 4)
18. Find the slope of the line drawn. Then, find the
equation of the line in 𝑦 = 𝑚𝑥 + 𝑏 form.
21. Simplify by combining like terms:
a. 2𝑥 − 1 + 3𝑥 + 5
b. 3𝑥 2 + 2𝑥 − 3 + 𝑥 2 + 7𝑥 − 8
22. Solve the simple 1-step equations:
24. Simplify using the Order of Operations (PEMDAS).
a. 𝑥 − 3 = 9
b. 2𝑥 = 24
a. 2 + 3 ∗ 5 − 1
c. 𝑥 + 8 = 15
d.
𝑥
6
b. 26 ÷ 2 × 9 + 21 − 45
=4
25. Simplify the expression that is being raised to a
power.
a. (−2)2
b. −(4)2
c. −(−6)2
23. Solve the 2-step equations:
a. 2𝑥 + 5 = 33
c.
𝑥
5
b. 4𝑥 − 1 = 15
26. There is some number that, if you subtract 15 from
it first, and then multiply that total by 4 the result is 28.
What is the number?
+ 2 = 27
BONUS:
Brian’s scores on his first four Spanish tests are 92, 85,
90, and 92. What test score must Brian earn on the fifth
test so that the mean (or average) will be exactly 90?