Lesson 7
Revisit Percentages
Problem 1
A crew has paved \(\frac{3}{4}\) of a mile of road. If they have completed 50% of the work, how long is the road they are paving?
Solution
For access, consult one of our IM Certified Partners.
Problem 2
40% of \(x\) is 35.
 Write an equation that shows the relationship of 40%, \(x\), and 35.
 Use your equation to find \(x\). Show your reasoning.
Solution
For access, consult one of our IM Certified Partners.
Problem 3
Priya has completed 9 exam questions. This is 60% of the questions on the exam.
 Write an equation representing this situation. Explain the meaning of any variables you use.

How many questions are on the exam? Show your reasoning.
Solution
For access, consult one of our IM Certified Partners.
Problem 4
Answer each question. Show your reasoning.
20% of \(a\) is 11. What is \(a\)?
75% of \(b\) is 12. What is \(b\)?
80% of \(c\) is 20. What is \(c\)?
200% of \(d\) is 18. What is \(d\)?
Solution
For access, consult one of our IM Certified Partners.
Problem 5
For the equation \(2n  3 = 7\)
 What is the variable?
 What is the coefficient of the variable?
 Which of these is the solution to the equation? 2, 3, 5, 7, \(n\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 6, Lesson 2.)Problem 6
Which of these is a solution to the equation \(\frac{1}{8}=\frac{2}{5} \boldcdot x\)?
\(\frac{2}{40}\)
\(\frac{5}{16}\)
\(\frac{11}{40}\)
\(\frac{17}{40}\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 6, Lesson 2.)Problem 7
Find the quotients.

\(0.009 \div 0.001\)

\(0.009 \div 0.002\)

\(0.0045 \div 0.001\)
 \(0.0045 \div 0.002\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 5, Lesson 13.)