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Chapter 1: Q. 16MCQ (page 27)

Evaluate the expression whenx=20andy=5.

3(x鈭�y)

Short Answer

Expert verified

The value of the expression is45.

Step by step solution

01

Step 1  . Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

Step 2  . Evaluate inside grouping symbol

To evaluate the given expression3(x鈭�y), substitute 20 for x and 5 for y and simplify further as shown below

3(x鈭�y)=3(20鈭�5)=3(15)

03

Step 3  . Multiply the numbers

Now to simplify further, multiply the numbers to get

3(15)=45

Thus, the value of the expression is 45.

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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.

Write a variable expression to represent the phrase.

The number of pounds in y ounces

Explain how these vocabulary terms are related: power, base, exponent.

Simplify

20 (鈥� 45) 梅 (鈥� 9)

Question: Patterns The table shows sums of odd numbers.

a. Copy and complete the table. Identify any pattern that you see.

b. Write a variable expression for the sum of the first n odd numbers.

c. Use your expression from part (b) to find the sum of the first 100 odd numbers
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