Lesson 7
Revisit Percentages
Let's use equations to find 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?
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.
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.
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 \(d\)?
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, \(n\)
Problem 6
Which of these is a solution to the equation \(\frac{1}{8}=\frac{2}{5} \boldcdot x\)?
\(\frac{2}{40}\)
\(\frac{5}{16}\)
\(\frac{11}{40}\)
\(\frac{17}{40}\)
Problem 7
Find the quotients.

\(0.009 \div 0.001\)

\(0.009 \div 0.002\)

\(0.0045 \div 0.001\)
 \(0.0045 \div 0.002\)