정수와 유리수

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate each phrase into an algebraic expression and then simplify.

• ⓐ The difference of $8$ and $-12$
• ⓑ Subtract $-13$ from $50$

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate each phrase into an algebraic expression and then simplify.

• ⓐ The difference of $-6$ and $9$
• ⓑ Subtract $-12$ from $-16$

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate each phrase into an algebraic expression and then simplify.

• ⓐ The difference of $-8$ and $9$
• ⓑ Subtract $-15$ from $-19$

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate each phrase into an algebraic expression and then simplify.

• ⓐ $\,8$ less than $-17$
• ⓑ $\,-24$ minus $37$

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate each phrase into an algebraic expression and then simplify.

• ⓐ $\,5$ less than $-14$
• ⓑ $\,-13$ minus $42$

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate each phrase into an algebraic expression and then simplify.

• ⓐ $\,21$ less than$\,6$
• ⓑ $\,31$ subtracted from $-19$

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate each phrase into an algebraic expression and then simplify.

• ⓐ $\,34$ less than$\,7$
• ⓑ $\,29$ subtracted from $-50$

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?

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

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