Sprint One Homework Empire State Sprint 01
7th Grade State Test Prep • Standard Level
Name:
Date:
NS
Question 1
What is the value of the expression below?
\( (-12.45) + (-8.3) - (-5.25) \)
A-25.5
B-15.5
C-9.4
D-1.9
RP
Question 2
The table shows the cost of organic apples.
Pounds (\(x\)) Cost (\(y\)) 3 $7.50 5 $12.50 8 $20.00
What is the constant of proportionality relating cost \(y\) to pounds \(x\)?
A$0.40
B$2.50
C$4.50
D$5.00
RP
Question 3
Sneakers originally cost $80. After a 15% discount, what is the sale price?
A$12
B$65
C$68
D$92
G
Question 4
A circular fountain has a radius of 6 feet. What is the approximate circumference? (Use 3.14 for \(\pi\))
A18.84 ft
B37.68 ft
C113.04 ft
D452.16 ft
Sprint 01 Turn Over → Page 1
Part II: Data & Algebra
Calculator Permitted
SP
Question 5
Which method provides the most representative sample to determine elective class preferences?
ASurveying 50 students chosen at random during the school day.
BSurveying every student in the Advanced Art class.
CSurveying students who arrive early for the school band rehearsal.
DSurveying all the teachers in the social studies department.
SP
Question 6
A bag has 4 red, 6 blue, and 10 green marbles. If one is picked at random, what is the probability it is not red?
A\(\frac{1}{5}\)
B\(\frac{1}{4}\)
C\(\frac{3}{5}\)
D\(\frac{4}{5}\)
EE
Question 7
Solve the inequality and graph the solution set. Show your work.
\( 3x + 4 > 19 \)
Show Work Area
2
3
4
5
6
7
8
Self-Rating:
Page 2
Sprint Two Homework Empire State Sprint 02
7th Grade State Test Prep • Standard Level
Name:
Date:
NS
Question 1
Which expression has the same value as the expression below?
\( \frac{-3}{4} \times (-12.4) \)
A-15.5
B-9.3
C9.3
D15.5
RP
Question 2
A recipe uses 2 cups of juice for every 5 cups of soda. If a company uses 35 cups of soda, how many cups of juice are needed?
A10 cups
B14 cups
C17.5 cups
D70 cups
RP
Question 3
A real estate agent earns 3% commission on a house sale. If a house sells for $450,000, what is the commission earned?
A$1,350
B$13,500
C$45,000
D$135,000
G
Question 4
A circle has a diameter of 10 cm. What is the approximate area of the circle? (Use 3.14 for \(\pi\))
A31.4 cm²
B78.5 cm²
C314 cm²
D1,256 cm²
Sprint 02 Turn Over → Page 1
Part II: Data & Algebra
Calculator Permitted
SP
Question 5
Based on the box plot showing high temps for two cities, which statement is true ?
City A
City B
6065707580859095
AThe median temperature for City A is greater than City B.
BThe range of temperatures for City A is greater than City B.
CThe median temperature for City B is greater than City A.
DThe interquartile range (IQR) is the same for both cities.
SP
Question 6
A fair six-sided die is rolled 60 times. About how many times should you expect to roll a number greater than 4?
A10
B20
C30
D40
EE
Question 7
Admission is $25. Parking is $10. A group has $140. Write and solve an inequality to find the maximum number of people, \(p\), that can go in one car.
Show Work Area
Inequality:
Solution:
Self-Rating:
Page 2
Sprint Three Homework Empire State Sprint 03
7th Grade State Test Prep • Standard Level
Name:
Date:
NS
Question 1
What is the value of the expression below?
\( (-18) \div \left( \frac{2}{3} \right) \)
A-27
B-12
C12
D27
RP
Question 2
A car travels 180 miles in 3 hours. At this same rate, how many miles will the car travel in 5.5 hours?
A300 miles
B330 miles
C360 miles
D990 miles
RP
Question 3
A price increased from $40 to $50. What is the percent increase in the price of the video game?
A10%
B20%
C25%
D80%
G
Question 4
The circumference of a circular rug is \(16\pi\) feet. What is the radius of the rug?
A4 feet
B8 feet
C16 feet
D32 feet
Sprint 03 Turn Over → Page 1
Part II: Data & Algebra
Calculator Permitted
SP
Question 5
A random sample of 40 students was surveyed: Soccer (15), Basketball (12), Baseball (8), Football (5).
If there are 600 students in the school, how many would be expected to choose soccer?
A150 students
B225 students
C300 students
D450 students
SP
Question 6
A spinner has 8 equal-sized sections. The probability of landing on red is \(\frac{1}{4}\). How many sections on the spinner are red?
A1
B2
C4
D8
EE
Question 7
Solve the inequality and graph the solution set. Show your work.
\( 5 - 2x \geq 13 \)
Show Work Area
-8
-6
-4
-2
0
2
4
Self-Rating:
Page 2
Sprint Four Homework Empire State Sprint 04
7th Grade State Test Prep • Standard Level
Name:
Date:
NS
Question 1
Which expression represents the distance between -4 and 7 on a number line?
A\( |-4 + 7| \)
B\( |-4 - 7| \)
C\( -4 - 7 \)
D\( -4 + 7 \)
RP
Question 2
The graph shows the relationship between tickets sold and cost. What is the cost per ticket?
Tickets Sold Total Cost ($) (2, 30)
A$2
B$15
C$30
D$60
RP
Question 3
A bill is $48.50. You leave a 20% tip and there is an 8% tax on the original amount. What is the total cost?
A$58.20
B$60.14
C$62.08
D$63.05
Sprint 04 Turn Over → Page 1
Part II: Geometry & Data
Calculator Permitted
G
Question 4
A circle has an area of \( 36\pi \) sq in. If the circle is cut in half to form semicircles, what is the area of one semicircle?
A\( 6\pi \) sq in.
B\( 9\pi \) sq in.
C\( 18\pi \) sq in.
D\( 72\pi \) sq in.
SP
Question 5
Group 1 mean: 5.5. Group 2 mean: 7.5. MAD for both: 0.5. How many times the MAD is the difference in the means?
A1 time
B2 times
C4 times
D10 times
SP
Question 6
A jar has blue and red marbles. The probability of choosing blue is 0.35. If there are 100 marbles, how many are red?
A35
B65
C70
D100
EE
Question 7
A box holds max 50 lbs. The empty box is 4 lbs. Each book placed in the box weighs 3 lbs. Write and solve an inequality to find the max books, \(b\), that fit.
Show Work Area
Inequality:
Solution:
Self-Rating:
Page 2
Sprint Series Keys Answer Keys
Sprints 01 - 04 • Teacher Guide
Reference
Sprint 01
B (-15.5)
B ($2.50)
C ($68)
B (37.68 ft)
A (Random)
D (4/5)
x > 5
Sprint 02
C (9.3)
B (14 cups)
B ($13,500)
B (78.5 cm²)
C (City B Med)
B (20 times)
max = 5 people
Sprint 03
A (-27)
B (330 mi)
C (25%)
B (8 feet)
B (225)
B (2 sections)
x ≤ -4
Sprint 04
B (|-4 - 7|)
B ($15)
C ($62.08)
C (18π)
C (4x MAD)
B (65)
max = 15 books
Multiple Choice
1 point for correct letter.
Short Response
2 points for correct answer and process.
Total Score
Total possible points: 8 per assignment.
