Which property does the following expression represent? 8 * 1 = 8

Identity Property of Multiplication

Commutative Property of Multiplication

Which property does the following expression represent? (4+7)+3=4+(7+3)

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Algebra Readiness Properties Of Numbers

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| By Irenesed514

Irenesed514

Community Contributor

Quizzes Created: 1 | Total Attempts: 120

Questions: 7 | Attempts: 121 | Updated: Mar 26, 2024

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Questions and Answers

1.

Which property does the following expression represent? 8 * 1 = 8
- A.
  
  Distributive Property
- B.
  
  Identity Property of Multiplication
- C.
  
  Commutative Property of Multiplication
- D.
  
  Identity Property of Addition
Correct Answer
B. Identity Property of Multiplication

Explanation
The given expression represents the Identity Property of Multiplication. According to this property, when a number is multiplied by 1, the product is equal to the original number. In the given expression, 8 is multiplied by 1, resulting in the product of 8, which is equal to the original number.

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2.

Which property does the following expression represent? (4+7)+3=4+(7+3)
- A.
  
  Distributive Property
- B.
  
  Associative Property of Multiplication
- C.
  
  Associative Property of Addition
- D.
  
  Commutative Property of Addition
Correct Answer
C. Associative Property of Addition

Explanation
The given expression represents the Associative Property of Addition. This property states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In the expression, the numbers 4, 7, and 3 are grouped differently on both sides of the equation, but the sum remains the same. This demonstrates the Associative Property of Addition.

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3.

The following expression represents the Identity Property of Multiplication. 3 * 0 = 0
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The given expression, 3 * 0 = 0, does not represent the Identity Property of Multiplication. According to the Identity Property of Multiplication, any number multiplied by 1 will give the same number as the product. In this case, 3 multiplied by 0 does not give the same number as the product, which is 0. Therefore, the statement is false.

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4.

Watch the following video on distributive property, and evaluate the problem for x=3.
- A.
  
  6
- B.
  
  3
- C.
  
  18
- D.
  
  12
Correct Answer
B. 3

Explanation
The video explains the distributive property, which states that when you multiply a number by a sum or difference, you can multiply each term separately and then add or subtract the results. In this problem, we have the expression 6(3 + x). Since x is given as 3, we can substitute it into the expression to get 6(3 + 3). Simplifying this, we have 6(6), which equals 36. Therefore, the answer is 36.

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5.

Which one of the following is the correct answer for 3(x+2)
- A.
  
  3x+2
- B.
  
  3x+6
- C.
  
  X+6
- D.
  
  3
Correct Answer
B. 3x+6

Explanation
The given expression is 3(x+2). To simplify this expression, we distribute the 3 to both terms inside the parentheses. This gives us 3x + 6. Therefore, the correct answer is 3x+6.

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6.

Find the perimiter of the rectangle shown on the following picture.
- A.
  
  4x
- B.
  
  12x
- C.
  
  6x
- D.
  
  8x
Correct Answer
B. 12x

Explanation
The perimeter of a rectangle is found by adding up all the sides. In this case, the rectangle has two sides with length 4x and two sides with length 6x. Adding these lengths together gives us 4x + 4x + 6x + 6x = 12x. Therefore, the perimeter of the rectangle is 12x.

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7.

Which one of the following are properties of addition?
- A.
  
  3 + 0 = 3
- B.
  
  3 * 1 = 3
- C.
  
  3 + 7 = 7 + 3
- D.
  
  All of the above
- E.
  
  None of the above
Correct Answer(s)
A. 3 + 0 = 3
C. 3 + 7 = 7 + 3

Explanation
The properties of addition include the commutative property, which states that changing the order of the numbers being added does not change the sum. This is demonstrated by the equation 3 + 7 = 7 + 3. The other equations, 3 + 0 = 3 and 3 * 1 = 3, are not properties of addition.

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Current Version
Mar 26, 2024

Quiz Edited by
ProProfs Editorial Team
Dec 14, 2011

Quiz Created by
Irenesed514

Algebra Readiness Properties Of Numbers

Which property does the following expression represent? 8 * 1 = 8

Which property does the following expression represent? (4+7)+3=4+(7+3)

The following expression represents the Identity Property of Multiplication. 3 * 0 = 0

Watch the following video on distributive property, and evaluate the problem for x=3.

Which one of the following is the correct answer for 3(x+2)

Find the perimiter of the rectangle shown on the following picture.

Which one of the following are properties of addition?