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Chapter 1: Q2. (page 57)

Which expression has a value of 鈥�4?

a.鈭�(鈭�4)b.|鈭�4|c.|4|d.鈭�|4|

Short Answer

Expert verified

The expression which has the value 鈥�4 is -4.

Step by step solution

01

Step-1 – Concept of variable expression

A variable expression or algebraic expression consists of one or more terms including variables and numbers that are connected by algebraic operations +,-,脳,梅.

02

Step-2 – Evaluate the values

The value of the expression --4is 4, because the product two similar signs is always positive.

The value of the expression -4is 4, because the absolute value of any number is always equal to the positive magnitude of that number.

The value of the expression 4 is 4, because the absolute value of any number is always equal to the positive magnitude of that number.

The value of the expression -4 is 鈥�4, because the negative sign is outside the absolute value sign.

03

Step-3 – Conclusion

Thus, the expression which has a value of 鈥�4 is -4.

Hence, option (d) is correct.

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Most popular questions from this chapter

Challenge The plastic tips on the ends of a shoelace are called aglets. Suppose a sneaker factory produces p pairs of shoes each hour and is in operation for h hours each day. Write a variable expression for the number of single aglets the factory uses each day. Evaluate the expression when p=200andh=20. Explain what your answer means.

DVD Rentals You belong to an online DVD rental service. Your yearly rental budget is \(200. Each rental costs \)4.

a. Copy and complete the table.

b. Write a variable expression for the cost of r rentals.

c. Write a variable expression for the amount of your budget left after r rentals.

d. Writing How many DVDs will you be able to rent before the $200 is spent? Explain how you found your answer.

Astronauts In 2002, astronauts Carl Walz and Dan Bursch spent 196 days in orbit. How many sunrises did they see?

  1. An astronaut in orbit circles Earth every 90 minutes and sees 16 sunrises each day. Let d be the number of days an astronaut is in orbit. Write a variable expression for the number of sunrises seen in d days.
  2. Identify the value of d for Walz鈥檚 and Bursch鈥檚 2002 space flight.
  3. Find the number of sunrises Walz and Bursch saw

Evaluate the expression.

28鈭�63梅7

Evaluate the experssion when a=4,鈥�b=2,andc=16

localid="1647950375552" a-b
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