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Simplify Expressions with Integers
In the following exercises, simplify each expression.
In the following exercises, simplify each expression.
Evaluate Variable Expressions with Integers
In the following exercises, evaluate each expression for the given values.
Translate Word Phrases to Algebraic Expressions
In the following exercises, translate each phrase into an algebraic expression and then simplify.
Subtract Integers in Applications
In the following exercises, solve the following applications.
Temperature One morning, the temperature in Urbana, Illinois, was By evening, the temperature had dropped What was the temperature that evening?
−10°
Temperature On Thursday, the temperature in Spincich Lake, Michigan, was By Friday, the temperature had dropped What was the temperature on Friday?
Temperature On January 15, the high temperature in Anaheim, California, was That same day, the high temperature in Embarrass, Minnesota was What was the difference between the temperature in Anaheim and the temperature in Embarrass?
96°
Temperature On January 21, the high temperature in Palm Springs, California, was and the high temperature in Whitefield, New Hampshire was 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 On the next three downs, they gained lost and lost What was the yard line at the end of the third down?
21-yard line
Football At the first down, the Barons football team had the ball on their On the next three downs, they lost gained and lost What was the yard line at the end of the third down?
Checking Account John has in his checking account. He writes a check for What is the new balance in his checking account?
$65
Checking Account Ellie has in her checking account. She writes a check for What is the new balance in her checking account?
Checking Account Gina has in her checking account. She writes a check for What is the new balance in her checking account?
−$40
Checking Account Frank has in his checking account. He writes a check for What is the new balance in his checking account?
Checking Account Bill has a balance of in his checking account. He deposits to the account. What is the new balance?
$26
Checking Account Patty has a balance of in her checking account. She deposits to the account. What is the new balance?
Camping Rene is on an Alpine hike. The temperature is Rene’s sleeping bag is rated “comfortable to How much can the temperature change before it is too cold for Rene’s sleeping bag?
13°
Scuba Diving Shelly’s scuba watch is guaranteed to be watertight to She is diving at 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 and is
Sample answer: On a number line, 9 is 15 units away from −6.
Why is the result of subtracting the same as the result of adding
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ What does this checklist tell you about your mastery of this section? What steps will you take to improve?
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