United States of AmericaPA

# 2.04 Practical problems with rational numbers

## Interactive practice questions

Consider the following sentence:

$-6$6 is added to the product of $2$2 and $-4$4.

a

Without simplifying the result, translate this sentence into a mathematical expression.

b

Evaluate the expression.

Easy
Approx 2 minutes

Consider the following sentence:

The sum of $-8$8 and the quotient of $-40$40 and $4$4

Consider the following phrase:

The quotient of $-3$3 and the sum of $7$7 and $6$6 .

Determine whether the following statements are true or false:

### Outcomes

#### CC.2.1.7.E.1

Apply and extend previous understandings of operations with fractions to operations with rational numbers.

#### CC.2.2.7.B.3

Model and solve real-world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations.

#### M07.B-E.2.1.1

Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate. Example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or$2.50, for a new salary of $27.50 an hour (or 1.1 ×$25 = \$27.50)