Brain Boost Prep Worksheet
Brain Boost Prep
7th Grade Math
Week 25 Quiz Prep
Student Name
Date
Team
Complete the following 6 problems to prepare for your Power Practice Quiz. Show all your thinking!
Question 1: Proportional Relationships 7.RP.2
The table shows a proportional relationship between the pounds of apples purchased and the total cost.
| Pounds of Apples | Total Cost ($) |
|---|
| 2 | 2.50 |
| 5 | 6.25 |
| 8 | 10.00 |
Which pair of values could be the missing row in the table?
A. Pounds: 3, Cost: $3.25
B. Pounds: 4, Cost: $5.00
C. Pounds: 6, Cost: $7.25
D. Pounds: 10, Cost: $12.00
Question 2: Circle Geometry 7.G.4
A circular pond has an area of \(400\pi\) square feet. What is the radius, in feet, of the pond?
A. 200 feet
B. 40 feet
C. 20 feet
D. 10 feet
Question 3: Percent Savings 7.RP.3
Marcus wants to buy a video game that normally costs $80. The game is on sale for 25% off. How much money will Marcus save with this discount?
A. $20
B. $60
C. $25
D. $5
Question 4: Equivalent Expressions 7.NS.2
Which expression is equivalent to \(-\frac{3}{5}\)?
Select the correct answer.
A. \(\frac{-3}{-5}\)
B. \(-(\frac{-3}{5})\)
C. \(\frac{3}{-5}\)
D. \(-(- \frac{3}{5})\)
Question 5: Rational Operations 7.NS.3
What is the value of the expression below?
\[ \left[ -\frac{1}{2} - \left(-\frac{3}{4}\right) \right] \cdot -\frac{2}{3} \]
A. \(-\frac{1}{6}\)
B. \(\frac{1}{6}\)
C. \(-\frac{5}{6}\)
D. \(\frac{5}{6}\)
Question 6: Tiered Commissions 7.RP.3
An electronics salesperson earns a commission based on their monthly sales:
- They earn 4% commission on the first $2,000 of sales.
- They earn 10% commission on any amount of sales over $2,000.
This month, the salesperson had $5,000 in total sales. What is the total amount of commission they earned?
Answer:
Show your work:
Brain Boost Prep Answer Key
Answer Key
Teacher Resource
Brain Boost Prep: Week 25
7th Grade Math
Quiz Alignment: W25
1
Proportional Relationships Answer: B
Unit Rate: $2.50 / 2 = $1.25 per pound.
Check choice B: 4 pounds × $1.25 = $5.00. (Matches the proportional relationship).
2
Circle Geometry Answer: C
\(A = \pi r^2\)
\(400\pi = \pi r^2 \Rightarrow 400 = r^2 \Rightarrow r = \sqrt{400} = 20\) feet.
3
Percent Savings Answer: A
Savings = 25% of $80 = \(0.25 \times 80 = 20\).
The savings is $20. (Students may mistakenly choose $60, which is the sale price).
4
Equivalent Expressions Answer: C
\(-\frac{3}{5}\) is negative.
C: \(\frac{3}{-5} = -\frac{3}{5}\) (Positive divided by negative is negative).
A, B, and D all result in positive values.
5
Rational Operations Answer: A
1. Simplify brackets: \(-\frac{1}{2} - (-\frac{3}{4}) = -\frac{2}{4} + \frac{3}{4} = \frac{1}{4}\)
2. Multiply: \(\frac{1}{4} \cdot -\frac{2}{3} = -\frac{2}{12} = -\frac{1}{6}\).
6
Tiered Commissions Answer: $380
1. First $2,000: \(2000 \times 0.04 = $80\)
2. Remaining Sales: \($5,000 - $2,000 = $3,000\)
3. Commission on remainder: \(3000 \times 0.10 = $300\)
4. Total: \(80 + 300 = $380\).
Teaching Tips:
- Q2 Check: Ensure students aren't squaring 400. They need to find what number times itself equals 400.
- Q5 Complexity: This is the most complex problem. Encourage students to rewrite the subtraction of a negative as addition of a positive immediately.
