Unit 6, Lesson 6
Percentages and Equations
Grade 6
Practice
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 the value of \(x\). Show your reasoning.
Problem 3
Priya has completed 9 exam questions. This is 60% of the questions on the exam. How many questions are on the exam?
- Write an equation with a variable to represent this situation. Explain the meaning of the variable.
- Answer the question. 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 \(2n = 7\):
- What is the variable?
- What is the coefficient of the variable?
- Which of these is the solution to the equation? \(\frac27\), \(\frac72\), 5, 9
Problem 6
Which of these is a solution to the equation \(\frac{2}{5}=\frac{1}{8} + x\)?
\(\frac{2}{40}\)
\(\frac{5}{16}\)
\(\frac{11}{40}\)
\(\frac{17}{40}\)
Problem 7
Find the quotients.
-
\(0.009 \div 0.001\)
-
\(0.009 \div 0.002\)
-
\(0.0045 \div 0.001\)
- \(0.0045 \div 0.002\)