Algebra Preparation Packet
This review packet will refresh your pre-algebra skills and promote a seamless transition to algebra. Give each question your best
effort, regardless of your familiarity. Aim to complete approximately 2-5 problems per day (promise it won’t ruin your summer).
Any uncompleted/skipped problems will result in a lower grade.
ALL WORK MUST BE SHOWN (REGARDLESS OF HOW EASY IS IT TO COMPLETE)
There will numerous packets posted on the website throughout the summer break. You will have two weeks to copy and complete
each packet. These will be worth a great deal of points when you come back in the fall. Failure to complete each packet will result in
a lower MP grade. PLEASE DO NOT COPY THE PACKET AND SAVE THEM TO COMPLETE DURING THE LAST WEEK
OF SUMMER BREAK!!!!! (Completing it in one day or even one week defeats its purpose)
Have a wonderful, relaxing summer break and thank you for being such awesome, hard-working students all year. Can’t wait
to see you in the fall, refreshed, and ready for another successful year!! The numbers on the packet jump around a bit, so make sure
you pay attention to the numbers when you are correcting the packet
1
Print each page and SHOW ALL YOUR WORK ON THIS PAGE (NOT on a separate piece of paper). Save
paper by printing on both sides of the paper.
Each packet needs to be stapled and corrected. Be sure to include the grade (percentage) on the front of the packet
Chapter 7 Review
Write the percent as a fraction in simplest form.
2) 20.4%
Write the percent as a fraction in simplest form, or write the fraction as a decimal
12) On a math test, you scored 69 points out of 75 total points. On your next math test, you scored 51 points out of 60
total points. For both tests combined, what was your score as a percent of the total points?
14) 0.056%
17) 7/5
22) A candle factory made 4 million candles last year. Of those, 0.9% were defective (didn’t light properly). How many
candles were defective?
Use the percent equation to answer the question when n = 40
29) What percent of 50 is n?
30) what is (n + 10)% of 80?
31) 3n is 75% of what number?
2
Find the new amount.
33) Increase 75 by 52%
35) Decrease 24 by 25%
37) You bought a pair of jeans at an outlet store. You see the same jeans at another store for $51, which is 36% more
than you paid for them at the outlet store. How much did you pay for the jeans at the outlet store?
40) Use the given information to find the total cost.
Food bill:
Sales tax:
Tip:
$16
7%
20%
Use the given information to find the original price. Round your answer to the nearest cent.
41) Retail price: $40
Markup percent: 85%
42) Retail price: $199
Markup percent: 20%
43) A store marks up the wholesale price of an item by 42%. The retail price is $75.97. What is the wholesale price?
44) Find the unknown quantity for an account that earns simple interest (I=prt)
A = $530
P = _____
r = 4%,
t = 15 years
46) You deposit $4280 into a savings account that earns 1.75% interest compounded annually [hint: A=P(1+r)t]. Use a
calculator to find the balance of the account after 8 years. Round your answer to the nearest cent.
3
Print each page and SHOW ALL YOUR WORK ON THIS PAGE (NOT on a separate piece of paper). Save
paper by printing on both sides of the paper.
Each packet needs to be stapled and corrected. Be sure to include the grade (percentage) on the front of the packet
Chapter 8 Review
2) Tell whether the relation represented by the graph is a function (hint: each input has
only one output)
10) Find the value of a that makes the ordered pair a solutions of the equation. In other words, what is the value of a?
5x – 6y = 23; (a, -3)
13) Find the intercepts of the equation’s graph. Then graph the equation on the given
coordinate grid.
2
y=− −2
3
€
16) Find the slope of the line through the given points (36, -5), (6, -5)
change in y value/change in x value
or
y2 − y1
x2 − x1
or
rate of change,
or
m
or
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€
18) Identify the slope and y-intercept of the line with he given equation:
4
4x – 10y = -9
rise
run
20) Write an equation of the line that is parallel (hint: same slope) to the line y= -x + 4 an passes through the point (0, 10)
[hint: plug the slope, value of x and y into the following equation y= mx + b to determine the value of b. Then re-write
the equation with the new slope and b value]
21) Write an equation of the line that is perpendicular (hint: opposite and reciprocal of original slope) to the line y= 2x – 1
an passes through the point (0, -3) [hint: plug the slope, value of x and y into the following equation y= mx + b to
determine the value of b. Then re-write the equation with the new slope and b value]
30) Solve the following linear system by graphing (hint: each equation must be written in
slope intercept form: y = mx + b
-3x + 2y = 3
2x + y = -2
4
y ≥ − x +1
3
33) Graph the inequality on the given coordinate grid:
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5
Print each page and SHOW ALL YOUR WORK ON THIS PAGE (NOT on a separate piece of paper). Save
paper by printing on both sides of the paper.
Each packet needs to be stapled and corrected. Be sure to include the grade (percentage) on the front of the packet
Chapter 9 Review
1) Approximate the square root the nearest integer.
350
€
Solve the equation. Round to the nearest tenth if necessary.
4) 4b2 = 256 (hint: divide by 4 first)
5) 7x2 = 847 (hint: divide by 7 first)
8) A square room has an area of 272.25 square feet. What are the dimensions of the room in feet.
Simplify the expression
12)
12a 2
121
13)
1372uv 2 w
14)
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€
120c 2 d
81
€
18) The lengths of two sides of a right triangle are given. Find the length of the third side (hint: Pythagorean Theorem)
a = 32,
b = 126
24) Order the numbers from least to greatest:
€
-5, −3 2 , −
€
€
6
95
,
4
9
− , -5.7
2
Print each page and SHOW ALL YOUR WORK ON THIS PAGE (NOT on a separate piece of paper). Save
paper by printing on both sides of the paper.
Each packet needs to be stapled and corrected. Be sure to include the grade (percentage) on the front of the packet
Chapter 10 Review
2) Find the value of x. Then classify the triangle by its angle measure (acute, obtuse or right)
Classify the quadrilateral. Then find the value of y.
8) Find the unknown measure of the trapezoid. Round to the nearest whole number. A = 210 cm2, h = ___
9) Find the unknown measure of the circle (use 3.14 for pi). Round to the nearest whole number. C= _____
7
11) Find the unknown measure of the circle (use 3.14 for pi). Round to the nearest whole number. A= _____
13) Find the surface area of the prism. Round to the nearest whole number.
15) Find the surface area of the cone. Round to the nearest whole number. Use 3.14 for pi.
16) You are painting cylindrical beads with radii 10 mm and heights of 21 mm/. Find the amount of paint needed to paint
one bead to the nearest square mm. Use 3.14 for pi.
8
Find the volume of the solid. Round to the nearest whole number. Use 3.14 for pi.
17)
19)
20)
9
10