Algebra - Mid-Chapter 1 Quiz | Attempts: 163

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| By Ochoa678

Ochoa678

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Quizzes Created: 1 | Total Attempts: 163

Questions: 10 | Attempts: 163 | Updated: Mar 22, 2023

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Evaluating Algebraic Expressions, Order of Operations, Distributive Property, Multiplicative Inverse, Multiplicative Identity, Multiplicative Property of Zero, Additive Inverse, Additive Identity

Questions and Answers

1.

Identify the property.a(1/a) = 1
- A.
  
  Multiplicative Identity
- B.
  
  Additive Inverse
- C.
  
  Multiplicative Property of Zero
- D.
  
  Multiplicative Inverse
Correct Answer
D. Multiplicative Inverse

Explanation
The given equation a(1/a) = 1 represents the property of multiplicative inverse. The multiplicative inverse of a number is the reciprocal of that number, which when multiplied together, gives the result of 1. In this case, multiplying a with its multiplicative inverse 1/a results in 1. Therefore, the correct answer is Multiplicative Inverse.

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2.

Identify the property.a(b + c) = ab + ac
- A.
  
  Distributive Property
- B.
  
  Multiplicative Additive
- C.
  
  Additive Inverse
- D.
  
  Multiplicative Inverse
Correct Answer
A. Distributive Property

Explanation
The given equation, a(b + c) = ab + ac, demonstrates the distributive property. The distributive property states that when multiplying a number by the sum of two other numbers, you can distribute the multiplication to each term inside the parentheses. In this case, the "a" is being multiplied by the sum of "b" and "c", and according to the distributive property, we can multiply "a" by each term inside the parentheses separately. Thus, the equation shows the distributive property in action.

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3.

Identify the property.(a)(1) = a
- A.
  
  Additive Inverse
- B.
  
  Multiplicative Inverse
- C.
  
  Additive Identity
- D.
  
  Multiplicative Identity
Correct Answer
D. Multiplicative Identity

Explanation
The property being identified in this question is the Multiplicative Identity property. This property states that when any number is multiplied by 1, the result is always the number itself. In this case, when "a" is multiplied by 1, the result is "a". Therefore, the correct answer is Multiplicative Identity.

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4.

Identify the property.a + 0 = a
- A.
  
  Additive Identity
- B.
  
  Multiplicative Identity
- C.
  
  Distributive Property
- D.
  
  Multiplicative Inverse
Correct Answer
A. Additive Identity

Explanation
The given equation states that when any number 'a' is added to zero, the result will always be 'a'. This property is known as the additive identity property, which states that the sum of any number and zero is always equal to the original number. This property is a fundamental concept in mathematics and is used in various mathematical operations and equations.

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5.

Identify the property.a + -a = 0
- A.
  
  Additive Inverse
- B.
  
  Multiplicative Inverse
- C.
  
  Multiplicative Identity
- D.
  
  Distributive Property
Correct Answer
A. Additive Inverse

Explanation
The given equation, a + (-a) = 0, represents the property of additive inverse. In this property, when a number is added to its additive inverse, the result is always zero. In this case, when a is added to its additive inverse (-a), the sum is zero. Therefore, the correct answer is Additive Inverse.

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6.

Identify the property.(a)(0) = 0
- A.
  
  Multiplicative Property of Zero
- B.
  
  Additive Inverse
- C.
  
  Distributive Property
- D.
  
  Additive Identity
Correct Answer
A. Multiplicative Property of Zero

Explanation
The property being identified here is the Multiplicative Property of Zero. This property states that when any number is multiplied by zero, the result is always zero. In this case, when 0 is multiplied by any number, the result is always 0. This property is a fundamental concept in mathematics and is used in various calculations and equations.

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7.

20 - 2(3²) + (7 + 8) ÷ 5
- A.
  
  10
- B.
  
  35
- C.
  
  5
- D.
  
  11
Correct Answer
A. 10

Explanation
The given expression involves addition, subtraction, multiplication, and division. According to the order of operations, we should first perform the multiplication and division, and then the addition and subtraction.

Starting with the multiplication, 2 multiplied by 32 equals 64.

Next, we have the addition within parentheses, 7 plus 8 equals 15.

After that, we have the division, 15 divided by 5 equals 3.

Finally, we can perform the subtraction and addition from left to right:
20 minus 64 equals -44, and -44 plus 3 equals -41.

Therefore, the correct answer is not available.

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8.

A(b + c), if a = 2, b = 3, c = 4
- A.
  
  12
- B.
  
  14
- C.
  
  20
- D.
  
  10
Correct Answer
B. 14

Explanation
The given expression is a(b + c), where a = 2, b = 3, and c = 4. Plugging in these values, we get 2(3 + 4), which simplifies to 2(7) = 14. Therefore, the correct answer is 14.

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9.

4 + (11 – 3²)(2³)
- A.
  
  15
- B.
  
  20
- C.
  
  25
- D.
  
  10
Correct Answer
B. 20

Explanation
The given expression involves a combination of addition, subtraction, and multiplication. To solve it, we start by performing the subtraction within the parentheses: 11 - 32 = -21. Then, we multiply this result by 23: -21 * 23 = -483. Finally, we add 4 to this product: -483 + 4 = -479. Therefore, the correct answer is -479, not 20.

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10.

8w - 10, w = 5
- A.
  
  3
- B.
  
  30
- C.
  
  50
- D.
  
  45
Correct Answer
B. 30

Explanation
The given equation is 8w - 10, where w = 5. Substituting the value of w into the equation, we get 8(5) - 10 = 40 - 10 = 30. Therefore, the answer is 30.

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Current Version
Mar 22, 2023

Quiz Edited by
ProProfs Editorial Team
Aug 29, 2009

Quiz Created by
Ochoa678

Algebra - Mid-Chapter 1 Quiz

Identify the property.a(1/a) = 1

Identify the property.a(b + c) = ab + ac

Identify the property.(a)(1) = a

Identify the property.a + 0 = a

Identify the property.a + -a = 0

Identify the property.(a)(0) = 0

20 - 2(32) + (7 + 8) ÷ 5

A(b + c), if a = 2, b = 3, c = 4

4 + (11 – 32)(23)

8w - 10, w = 5

20 - 2(3²) + (7 + 8) ÷ 5

4 + (11 – 3²)(2³)