Lesson 5: Practice Problems

Problem 1

The table represents the relationship between a length measured in meters and the same length measured in kilometers.

Complete the table.
meters
kilometers
$1, 000$
$1$
$3, 500$
$500$
$75$
$1$
$x$
Write an equation for converting the number of meters to kilometers. Use $x$ for number of meters and $y$ for number of kilometers.

meters	kilometers
$1, 000$	$1$
$3, 500$
$500$
$75$
$1$
$x$

Problem 2

Concrete building blocks weigh 28 pounds each. Using $b$ for the number of concrete blocks and $w$ for the weight, write two equations that relate the two variables. One equation should begin with $w =$ and the other should begin with $b =$ .

Problem 3

A store sells rope by the meter. The equation $p = 0.8 L$ represents the price $p$ (in dollars) of a piece of nylon rope that is $L$ meters long.

How much does the nylon rope cost per meter?
How long is a piece of nylon rope that costs $1.00?

Problem 4 From Unit 2 Lesson 4

The table represents a proportional relationship. Find the constant of proportionality and write an equation to represent the relationship.

$a$	$y$
$2$	$\frac{2}{3}$
$3$	$1$
$10$	$\frac{10}{3}$
$12$	$4$

Constant of proportionality:

Equation: $y =$

Problem 5 From Unit 1 Lesson 8

On a map of Chicago, 1 cm represents 100 m. Select all statements that express the same scale.

5 cm on the map represents 50 m in Chicago.
1 mm on the map represents 10 m in Chicago.
1 km in Chicago is represented by 10 cm the map.
100 cm in Chicago is represented by 1 m on the map.