Lesson 7: Practice Problems

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 From Unit 6 Lesson 2

For the equation $2 n - 3 = 7$

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 From Unit 6 Lesson 2

Which of these is a solution to the equation $\frac{1}{8} = \frac{2}{5} \cdot x$ ?

$\frac{2}{40}$
$\frac{5}{16}$
$\frac{11}{40}$
$\frac{17}{40}$

Problem 7 From Unit 5 Lesson 13

Find the quotients.

$0.009 \div 0.001$
$0.009 \div 0.002$
$0.0045 \div 0.001$
$0.0045 \div 0.002$