수와 연산 전체 문제

Evaluate Variable Expressions with Integers

In the following exercises, evaluate each expression for the given values.

$4{x}^{2}-15x+1\,\text{when}\,x=3$

Evaluate Variable Expressions with Integers

In the following exercises, evaluate each expression for the given values.

$5{x}^{2}-14x+7\,\text{when}\,x=2$

Evaluate Variable Expressions with Integers

In the following exercises, evaluate each expression for the given values.

$-12-5{x}^{2}\,\text{when}\,x=6$

Evaluate Variable Expressions with Integers

In the following exercises, evaluate each expression for the given values.

$-19-4{x}^{2}\,\text{when}\,x=5$

Translate Word Phrases to Algebraic Expressions

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

• ⓐ The difference of $3$ and $-10$
• ⓑ Subtract $-20$ from $45$

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 $-50$

Temperature One morning, the temperature in Urbana, Illinois, was $\text{28° Fahrenheit.}$ By evening, the temperature had dropped $\text{38° Fahrenheit.}$ What was the temperature that evening?

Temperature On Thursday, the temperature in Spincich Lake, Michigan, was $\text{22° Fahrenheit.}$ By Friday, the temperature had dropped $\text{35° Fahrenheit.}$ What was the temperature on Friday?

Temperature On January 15, the high temperature in Anaheim, California, was $\text{84° Fahrenheit.}$ That same day, the high temperature in Embarrass, Minnesota was $\text{−12° Fahrenheit.}$ 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 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?