Download Unit 1 Test Review Packet with answer key

Accelerated Coordinate Algebra
Unit 1 Review Sheet
Use the following to review for you test. Work the Practice Problems on a separate sheet of paper.
What you need to
know & be able to do
Things to remember
1. Unit Conversions
 There are 5280 feet in one mile
 There are 0.034 fluid ounces in one
milliliter
 There are 0.454 kg in one pound
 There are 1.6 kilometers in one mile
 There are 73 gallons in 2 barrels
 There are 1.05 quarts in one liter
 There are 4 quarts in one gallon
 There are 16 ounces in a pound.
 # of terms
 Coefficients
2. Identify Vocabulary
Practice Problems
1. Convert 6 liters to quarts.
2. A bowl of cereal weighs 60 oz.
How heavy is it in kg?
3. Convert 12 kilometers to
inches.
4. You are in a car traveling that is
traveling at 65 mph. How long will
it take to travel to Chattanooga
(150 miles away)?
5. How many terms are in the
expression -12x3 + 7x2 – 4x –
19?
6. What are the terms, coefficients,
and constants in the expression
20x4 – 11x +3?
7. Lucy gets paid $150 a week
and $10 for every computer
she sells. Write an expression
that represents her weekly
income.
8. Andy wants to mail a package. It
costs $4.99 plus $0.30 for every
ounce the package weighs. Write an
equation that represents the total
cost of shipping the package.
 Factors
 Constants
y = mx + b
3. Linear Models
6. Consecutive
Integers
7. Averages
 m – increase or
decrease (rate)
 b – starting point
(constant)
Start with x.
x + (x+1) + (x+2)+...=
 Add the values and x
 Divide by the
number of numbers
 Set equal to the
average
 Solve for x
What will the cost of the package
be if there is a 5% sales tax on the
package?
9. 3 consecutive integers add
up to 153. Find the three
integers.
10. Three ODD integers add up to
381. Find the integers.
11. You are trying to save $40
a week to buy a new phone.
During the last 4 weeks you
have saved $55, $45, $20, and
$19. How much do you need
to save this week to average
$40 for the 5 weeks?
12. Currently, you have made a 78,
83, and an 80 on your tests in math.
What do you need to make on the
next test in order to get an average
of an 82?
Accelerated Coordinate Algebra
8. Rectangle – Find
length and width
9. Solve for 2-variable
Equations




Draw a picture
Define your l and w
Add all 4 sides
Solve for both
variables
ax + by = c
 Never move the
variable you’re
solving for.
Unit 1 Review Sheet
13. The width of a rectangle is
11 feet longer than the
length. The perimeter of the
rectangle is 70 feet. Find the
length and the width.
14. The length of a rectangle is nine
inches more than the width. The
perimeter is 34 inches. Find the
length.
15. Tony is going to buy fruit
for a smoothie. He wants
raspberries, r, that are $4 a
carton and strawberries, s,
that are $2 a carton. Write an
equation to represent all the
combinations of fruit if Tony
has $18 to spend.
16. Using your equation from #15,
solve for r, the number of
raspberries if he decides to buy 5
cartons of strawberries.
17. If he buys 4 cartons of
raspberries, how many strawberries
can he buy?
Other Practice Problems!
1. The first stage of a rocket burns 28 seconds longer than the second stage. If the total burning time for both
stages is 152 seconds, how long does each stage burn
2. In a student election, 584 students voted for one or the other of two candidates for president. If the winner
received 122 more votes than the loser, how many votes were cast for each candidate?
3. A man is nine times as old as his son. In nine years, he will be only three times as old as his son. How old are
each now?
4. I have $11.60, all dimes and quarters, in my pocket. I have 32 more dimes than quarters. How many dimes,
and quarters do I have?
5. Michael can fix 3 cars ever hour and he is paid $40 an hour. Michael’s boss charges $100 dollar for every car
that is fixed. How much profit does Michael’s boss make in 3 hours?
Accelerated Coordinate Algebra
Answer Key
1. 6.3 quarts
2. 1.70 kg
3. 475,200 inches
4. 2.31 hours
5. 4 terms
6. Terms: 20x4, -11x, 3
Coefficients: 20 and -11
Constant: 3
7. 150 + 10x
8. 4.99 + 0.30x = T
T(0.05) = Final cost
9. 50, 51, 52
10. 123, 125, 127
11. $61
12. 87
13. L = 12 W = 23
14. W = 4 L = 13
15. 4r + 2s = 18
16. r = 2
17. s = 1
Other Practice Problems
1. S = 62 F = 90
2. L = 231 W = 353
3. M = 27 S = 3
4. Q = 24 D = 56
5. $780
Unit 1 Review Sheet