advanced math 7 reivew 1

2014-2015 Advanced Math 7
1
B
3
Review Guide #1
Which situation has quantities that combine to make zero?
A
2
Semester 1 Exam
Kesha had $5 and her mom gave her
$5 more
A penguin swam 6 feet down in the
water and then swam 6 feet back up.
C
D
A dog buried 3 toys in the front yard
and 3 toys in the backyard.
Sam made 4 gallons of lemonade and
1
Isabelle drank 4 of a gallon of the
lemonade.
Which two numbers have a combined distance of 22.6 from 0 on the number line?
A
12.8 and -9.2
C
18.4 and -3.2
B
-18.2 and 4.1
D
-11.4 and 11.2
This chart shows the temperatures taken at noon for five consecutive days.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Temperature
(F)
65◦
70◦
71◦
n
93◦
If the difference between the temperature on Wednesday and the temperature on
Thursday is |17| degrees, which temperature could be Thursday’s?
A
-17◦
C 77◦
B
17◦
D
88◦
4
5
On Monday, the low temperature was -2 degrees. The low temperature dropped 3
degrees each of the next three days. What was the low temperature on Thursday?
A
7 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
C
−7 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
B
−9 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
D
−11 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
C
3
25
1
2
2
5
A
B
6
3
4
2
5
What is the value of (− ) ( ) (− )?
1
2
3
−
25
−
D
Serge and his family are going bowling. There are 3 adults and 4 children in the group.
Each adult costs $8.50 and each child costs $5.00. What is the total cost for Serge’s
family to go bowling?
A
$13.50
C
$25.50
B
$20.00
D
$45.50
7
8
The temperature decreased by a total of 36 o over a nine-hour period. Which statement
explains the sign of the average hourly temperature change?
A
The sign is positive, because 36  9  4
B
The sign in positive, because  36  (9)  4
C
The sign is negative, because  36  9  4
D
The sign is negative, because  36  (9)  4
Nicholas has 5
holding
9
10
3
quarts of a saltwater solution. He divides the solution into containers
4
1
cup each. Which of these shows the number of containers Nicholas fills?
4
A
Less than 5
C
Between 5 and 10
B
Between 10 and 20
D
More than 20
A diver dives 20 feet below sea level from the surface in 4 minutes. What was the unit
rate of descent?
A
5 ft/min
C
80 ft/min
B
–5 ft/min
D
–80 ft/min
1
1
A goldfish is 4 4 𝑖𝑛𝑐ℎ𝑒𝑠 long. Which of the following is another way to express 4 4 ?
A
4
17
C
4.14
B
9
4
D
4.25
11
Thirty-two percent of the students at Mill School are in the school band. What fraction of
the students are in the school band?
A
B
12
13
D
8
25
1
32
16
25
Last Tuesday at the Utica Post Office, 3/8 of the deliveries were magazines, 1/8 were
packages, and the rest were letters. If the mail carriers delivered 2,800 pieces of mail last
Tuesday, how many of their deliveries were letters?
A
1,400
C
1,300
B
1,450
D
1,000
Which operation symbol belongs in the box if the expression simplifies to 54?
60 - 6
14
C
1
5
3 + 12
A
×
C
÷
B
−
D
+
Jane works 40 hours a week at a movie theater. She gets paid $6.00 per hour and is
getting a 20% raise. How much more will Jane earn per week after she receives her
raise?
A
$288
C
$1.20
B
$240
D
$48
15
16
17
At a convention, Derek bought some baseball cards. Each card cost d dollars, and his
total amount spent was 5d. Which of these expressions also shows the amount Derek
spent?
A
2+𝑑+3+𝑑
C
3𝑑 − 4𝑑 + 6𝑑
B
4𝑑 + 2 − 1
D
5(𝑑 + 𝑑 + 𝑑 + 𝑑 + 𝑑)
Simplify the following expression:
−6𝑥 − 9(3𝑥 − 5)
A
−33𝑥 + 45
C
−45𝑥 + 75
B
21𝑥 + 45
D
−33𝑥 − 5
The sides of a rectangle are 3𝑥 + 2 and 2𝑥. Find the perimeter of the rectangle.
2𝑥
3𝑥 + 2
A
5𝑥 + 2
C
10𝑥 + 2
B
10𝑥 + 4
D
6𝑥 + 2
18
19
20
Sasha has some baseball cards (b). Her brother has 15% of the number of baseball cards
that she has. The expression 1.15b can be used to find the number of baseball cards that
Sasha and her brother have. What is another way to write this expression?
A
15b + 1
C
1 + 0.15b
B
b + 0.15
D
b + 0.15.b
Latoya has q quarters, d dimes, n nickels, and p pennies. Which of the following
statements is expressed by the equation 0.25𝑞 + 0.10𝑑 + 0.05𝑛 + 0.01𝑝 = 60?
A
Latoya has a total of 60 coins
C
B
Latoya has 60 of each type of coin
D
The total value of Latoya’s coins is 60
cents.
The total value of Latoya’s coins is 60
dollars
Jenny has a bag of red, green, and yellow candies. There are 4 more green candies than
red ones. The number of yellow candies is 3 times as many as the number of green ones.
If r represents the number of red candies, which expression represents the number
of yellow candies?
A
3𝑟
C
3𝑟 + 4
B
𝑟+7
D
3(𝑟 + 4)
21
22
23
A sporting goods store sells inline skates for 35% over the purchase price. If the store
purchases a pair of skates for $50, what is the selling price?
A
$15.00
C
$67.50
B
$50.35
D
$85.00
The cost of a laptop computer is fifteen dollars less than five times the cost of a digital
camera. Which equation represents the cost of the laptop computer?
x = cost of digital camera
y = cost of the laptop computer
A
5𝑦 − 15 = 𝑥
C
5𝑥 − 15 = 𝑦
B
15 − 5𝑥 = 𝑦
D
15 − 5𝑦 = 𝑥
The Garden Club bought tulip bulbs for $0.75. The club spent less than $96 total. Which
can be used to find the number of tulip bulbs (n) the club bought?
A
0.75𝑛
C
0.75𝑛 = 96
B
0.75𝑛 < 96
D
0.75𝑛 > 96
24
If Kurt misses fewer than twelve questions on his final science test, he will earn an overall
grade of a B in the class. The inequality x < 12 can be used to model the number of
questions Kurt can miss and still earn a B. Which number line represents the inequality
x < 12?
A
B
C
D
25
26
Janet purchased a 5-lb bag of coffee beans for $27.50. How much did she pay per
pound?
A
$2.75
C
$22.50
B
$5.50
D
$137.50
Driving from a cabin in the mountains, Ron’s car has a speed of 40 miles per hour (mph).
After two hours, he arrives at a village at the foot of the mountain, and he notices that his
car has accelerated to a speed of 60mph. What was the average rate of increase per
hour in miles per hour?
A
10 mph
C
30 mph
B
20 mph
D
50 mph
27
28
Two of every five pizzas sold at The Pizza Palace are pepperoni pizzas. Which of the
2
following ratios is proportional to ?
5
A
12
20
C
24
60
B
14
30
D
30
100
Carols, an avid piano player, decided to use a coordinate plane to graph the number of
white keys and black keys a piano has for each number of octaves.
The number of black keys and white keys are proportional. If there are 30 black keys,
how many white keys are there?
A
18
C
15
B
56
D
48
29
This graph shows the amount of money Jethro collected, based on the number of rolls
of wrapping paper he sold.
What was the price per roll of wrapping paper?
30
31
A
$6.00
C
$6.25
B
$6.50
D
$6.75
What is the unit rate in the equation E  15h where E represents total earnings and h
represents hours worked?
A
15h
C
B
𝐸
15
D
1
15
15
Susan works 2.5 hours Wednesday and was paid $15. She worked 5 hours on Thursday
and was paid $30. If Susan’s pay is y dollars, which equation represents how much she is
paid to work x number of hours?
A
1
𝑦= 𝑥
6
C
𝑦 = 4.5𝑥
B
𝑦 = 2𝑥
D
𝑦 = 6𝑥
32
John is tying bundles of campfire wood. He uses 2.5 feet of twine for each bundle. John
had 75 feet of twine when he started.
What does the point (30,0) represent?
33
A
The amount of twine used per bundle
C
B
The amount of twine used for tying all
the bundles
D
The number of bundles tied when all
the twine is used
The number of bundles left to tie after
all the twine is used
Mr. Smith bought a suit that was on sale for 40% off the original price. He paid 9% sales
tax on the sale price. The original price of the suit was $260. How much did he pay for
the suit, including tax, to the nearest dollar?
A
$113
C
$170
B
$127
D
$179
34
35
36
All jackets at Macy’s are 35% off the regular price. Ava wants to buy a jacket with a
regular price of $34.95. If Ava also has a coupon for $5 off the sale price, about what
percent will she save off the regular price?
A
50%
C
40%
B
45%
D
35%
A store manager paid $200 for a television. She marked up the price to $250. By what
percentage was the price of the television marked up?
A
20%
C
50%
B
25%
D
80%
Natalie went to a storewide 30%-off sale. After she made her selections, she found out
at the cashier area that the store was giving an additional discount of 10% after the initial
discount was applied. The original price of her purchases before discounts was $48. If
she gave the cashier a fifty-dollar bill, what was her change?
A
$17.84
C
$21.20
B
$19.76
D
$28.80
37
The graph shows the number of blocks Kelly is from home as she walks along Main Street
2
on her way home from the library. The slope of the line is − 3 .
What is the meaning of this slope?
A
For every 3 minutes that she walks,
Kelly is 2 blocks closer to home.
C
For every 3 minutes that she walks,
Kelly is 2 blocks farther from home.
B
For every 2 minutes that she walks,
Kelly is 3 blocks closer to home.
D
For every 2 minutes that she walks,
Kelly is 3 blocks farther from home.
38
Matt wants to join a fitness club. He has his choice of two membership plans. He can
pay a $100 start-up fee and $50 per month for membership, or he can pay a $250 startup fee and $25 per month. Which graph shows when both plans cost the same amount?
A
C
B
D
39
Carol made a table showing the number of red rose bushes and white rose bushes
planted in each garden.
If she graphs these ordered pairs on a coordinate grid and draws a line through the
points, what is the slope of that line?
A
B
40
1
4
1
3
C
D
3
4
4
3
Joe’s teacher put the graph of a line on the board as shown below.
What is the equation of the line?
A
𝑦=𝑥
C
B
𝑦 = −𝑥
D
3
𝑥
4
3
𝑦 = − 4x
𝑦=
41
42
43
44
Which equation has no solution?
A
 10y  3  10y  5
C
5(2y  2)  2(5y  2)  6
B
2(3y  4)  3(8  2y )
D
8y  12  8y  12
Which equation has exactly one solution?
A
6 x  4  4  6x
C
9(x  5)  3(3x  15)
B
9x  7  8  9x
D
9x  5  5x  9
James bought a shirt and 9 pairs of socks. The shirt cost $20. The total cost was $42.
Sales tax was 5%. James wrote this equation to represent the situation:
1.05(20 + 9𝑥) = 42
What is the cost of one pair of socks, x ?
A
$2.22
C
$2.44
B
D
$2.68
$2.33
1
x  8.
4
Which equation below would not intersect with this equation?
One equation in a system of equations is y  
A
B
y  4x  1
y 
1
x 2
4
C
D
y  4x  3
1
4
y   x 5
45
Which graph shows the solution to the given system?
y  x 3
4 x  y  32
A
C
B
D