Download Grade 7 Smarter Balanced Practice Test #1b

Name: ______________________
Class: _________________
Date: _________
ID: A
Grade 7 Smarter Balanced Practice Test #1b - calculator portion
____
1. A store is having a sale. Each customer receives either a 15% discount on purchases under $100 or a 20%
discount on purchases of $100 or more. Kelly is purchasing some clothes for $96.60 before the discount.
She decides to buy the fewest packs of gum that will increase her purchase to over $100. The price of
each pack of gum is $0.79.
After the discount, how much less will Kelly pay buying the clothes and the gum instead of buying only
the clothes? (Assume there is no sales tax to consider.)
a.
b.
$1.05
$1.67
c.
d.
$3.69
$3.87
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Two of these statements are true in a l l cases:
Statement
Statement
Statement
Statement
____
1:
2:
3:
4:
The
The
The
The
greatest common factor of any two distinct prime numbers is 1.
greatest common factor of any two distinct composite numbers is 1.
product of any two integers is a rational number.
quotient of any two integers is a rational number.
2. Which two statements are true in all cases?
a. Statement 1
b. Statement 2
c.
d.
Statement 3
Statement 4
3. For both statements that are not true in all cases, provide one clear reason and/or example for each
statement that proves the statement can be false.
Statement _______
Reason/example:
Statement _______
Reason/example:
1
Name: ______________________
ID: A
_____________________________________________________________________
Renee, Susan, and Martha will share the cost to rent a vacation house for a week.
- Renee will pay 40% of the cost.
- Susan will pay 0.35 of the cost.
- Martha will pay the remainder of the cost.
The cost to rent a vacation house for a week is $850.
4. Martha thinks that she will pay
1
3
of the cost.
a. Is Martha correct?
b. Use mathematics to justify your answer.
5. How much will Renee pay to rent this house for a week?
6. How much will Susan pay to rent this house for a week?
7. How much will Martha pay to rent this house for a week?
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8. Linda has $26. She earns $6 for one hour of babysitting. She wants to buy a ski pass for $80.
Find the minimum number of hours Linda must babysit to be able to buy the ski pass.
2
ID: A
Grade 7 Smarter Balanced Practice Test #1b - calculator portion
Answer Section
1. ANS: B
PTS: 1
DIF: DOK 2-3
NAT: 7.NS.3
MSC: calculator
NOT: Claim 4
2. ANS: A, C
PTS: 2
DIF: hard; DOK 3
NAT: 7.NS.2
MSC: calculator
NOT: Claim 3
3. ANS:
(answers may vary)
Statement 2 is not always true because the GCF of 12 and 16 is 4.
Statement 4 is not always true because 1/0 is not a rational number.
PTS: 2
DIF: hard; DOK 3
MSC: calculator
NOT: Claim 3
4. ANS:
a. Martha is incorrect
b. Martha will pay 1/4 of the cost. (work may vary)
NAT: 7.NS.2
PTS: 2
NOT: Claim 3
5. ANS: $340
DIF: M, DOK 3
NAT: 7.EE.3, 7.EE.1, 7.NS.2
PTS: 1
NOT: Claim 3
6. ANS: $297.50
DIF: M, DOK 3
NAT: 7.EE.3, 7.EE.1, 7.NS.2
PTS: 1
NOT: Claim 3
7. ANS: $212.50
DIF: M, DOK 3
NAT: 7.EE.3, 7.EE.1, 7.NS.2
PTS: 1
NOT: Claim 3
8. ANS: 9
DIF: M, DOK 3
NAT: 7.EE.3, 7.EE.1, 7.NS.2
DIF: DOK 2
NAT: 7.EE.4b
PTS: 1
NOT: Claim 1
1
MSC: calculator allowed