91Ó°ÊÓ

Justify the rules for adding integers

Write a variable expression to represent the phrase.

The number of inches in x feet

Write the power in words and as a repeated multiplication. Then evaluate the power

(1.2)³

Write a variable expression to represent the phrase.

The number of pounds in y ounces

If a is a negative integer and b is a positive integer, tell whether the expression represents a positive or a negative integer. Explain your thinking.

1. $a-b$
2. $b-a$
3. $\left|a\right|+\left|b\right|$
4. $-\left|a\right|-\left|b\right|$

Logical Reasoning Describe the pattern shown in the table. Then write a variable expression involving n to complete the table. In the table, the three dots indicate that the pattern continues.

Challenge The plastic tips on the ends of a shoelace are called aglets. Suppose a sneaker factory produces p pairs of shoes each hour and is in operation for h hours each day. Write a variable expression for the number of single aglets the factory uses each day. Evaluate the expression when $p=200\text{and}h=20$. Explain what your answer means.

Evaluate the expression when $x=6\text{and}y=12$. (Lesson 1.3)

localid="1647503467763" $3\left(x+y\right)$

Evaluate the expression.

$72÷[(11−7)â‹\dots 2]$

Use a number line to find the sum.

24 + (– 16)