정수와 유리수

Football At the first down, the Warriors football team had the ball on their $\text{30-yard line.}$ On the next three downs, they gained $\text{2 yards,}$ lost $\text{7 yards,}$ and lost $\text{4 yards.}$ What was the yard line at the end of the third down?

Football At the first down, the Barons football team had the ball on their $\text{20-yard line.}$ On the next three downs, they lost $\text{8 yards,}$ gained $\text{5 yards,}$ and lost $\text{6 yards.}$ What was the yard line at the end of the third down?

Checking Account John has $\char36 148$ in his checking account. He writes a check for $\char36 83.$ What is the new balance in his checking account?

Checking Account Ellie has $\char36 426$ in her checking account. She writes a check for $\char36 152.$ What is the new balance in her checking account?

Checking Account Gina has $\char36 210$ in her checking account. She writes a check for $\char36 250.$ What is the new balance in her checking account?

Checking Account Frank has $\char36 94$ in his checking account. He writes a check for $\char36 110.$ What is the new balance in his checking account?

Checking Account Bill has a balance of $-\char36 14$ in his checking account. He deposits $\char36 40$ to the account. What is the new balance?

Checking Account Patty has a balance of $-\char36 23$ in her checking account. She deposits $\char36 80$ to the account. What is the new balance?

Camping Rene is on an Alpine hike. The temperature is$-7^\circ .$ Rene’s sleeping bag is rated “comfortable to $-20^\circ \text{''}.$ How much can the temperature change before it is too cold for Rene’s sleeping bag?

Scuba Diving Shelly’s scuba watch is guaranteed to be watertight to $-100\,\text{feet}.$ She is diving at $-45\,\text{feet}$ on the face of an underwater canyon. By how many feet can she change her depth before her watch is no longer guaranteed?

Explain why the difference of $9$ and $-6$ is $15.$

Why is the result of subtracting $3-(-4)$ the same as the result of adding $3+4?$

Translate the quotient of $20$ and $13$ into an algebraic expression.

Add: $-5+(-5)+(-5).$

$\text{Evaluate}\,n+4\,\text{when}\,n=-7.$

Multiply each of the following:

• ⓐ $\,-9\cdot 3\quad$
• ⓑ $\,-2(-5)\quad$
• ⓒ $\,4(-8)\quad$
• ⓓ $\,7\cdot 6$

Multiply:

• ⓐ $\,-6\cdot 8\quad$
• ⓑ $\,-4(-7)\quad$
• ⓒ $\,9(-7)\quad$
• ⓓ $\,5\cdot 12$

Multiply:

• ⓐ $\,-8\cdot 7\quad$
• ⓑ $\,-6(-9)\quad$
• ⓒ $\,7(-4)\quad$
• ⓓ $\,3\cdot 13$

Multiply each of the following:

• ⓐ $\,-1\cdot 7\quad$
• ⓑ $\,-1(-11)$

Multiply.

• ⓐ $\,-1\cdot 9\quad$
• ⓑ $\,-1\cdot (-17)$