정수와 유리수

In the following exercises, evaluate each expression.

$4{x}^{2}-xy+3{y}^{2}$ when $x=-3,y=-2$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate to an algebraic expression and simplify if possible.

the sum of 3 and $-15,$ increased by 7

Translate English Phrases to Algebraic Expressions

In the following exercises, translate to an algebraic expression and simplify if possible.

the sum of $-8$ and $-9,$ increased by $23$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate to an algebraic expression and simplify if possible.

ⓐ the difference of $10$ and $-18$ ⓑ subtract $11$ from $-25$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate to an algebraic expression and simplify if possible.

ⓐ the difference of $-5$ and $-30$ ⓑ subtract $-6$ from $-13$

the quotient of $-6$ and the sum of $a$ and $b$

the product of $-13$ and the difference of $c$ and $d$

Temperature On January 15, the high temperature in Anaheim, California, was 84°. That same day, the high temperature in Embarrass, Minnesota, was $-12^\circ .$ What was the difference between the temperature in Anaheim and the temperature in Embarrass?

Temperature On January 21, the high temperature in Palm Springs, California, was $89^\circ ,$ and the high temperature in Whitefield, New Hampshire, was $-31^\circ .$ What was the difference between the temperature in Palm Springs and the temperature in Whitefield?

Football On the first down, the Chargers had the ball on their 25-yard line. They lost 6 yards on the first-down play, gained 10 yards on the second-down play, and lost 8 yards on the third-down play. What was the yard line at the end of the third-down play?

Football On first down, the Steelers had the ball on their 30-yard line. They gained 9 yards on the first-down play, lost 14 yards on the second-down play, and lost 2 yards on the third-down play. What was the yard line at the end of the third-down play?

Checking Account Mayra has $124 in her checking account. She writes a check for $152. What is the new balance in her checking account?

Checking Account Reymonte has a balance of $-\char36 49$ in his checking account. He deposits $281 to the account. What is the new balance?

Explain why the sum of $-8$ and 2 is negative, but the sum of 8 and $-2$ is positive.

Give an example from your life experience of adding two negative numbers.

In your own words, state the rules for multiplying and dividing integers.

Why is $-{4}^{3}={(-4)}^{3}?$

Simplify: $-\frac{315}{770}.$

Simplify: $-\frac{69}{120}.$

Simplify: $-\frac{120}{192}.$