Could You Pass This Toughest Algebra Test?

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| Written by Richardsonl

Richardsonl

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Quizzes Created: 1 | Total Attempts: 117

Questions: 9 | Attempts: 117 | Updated: Mar 20, 2023

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The purpose of Algebra is stating a mathematical relationship and its equation by using letters of the alphabet. Algebra allows us to substitute values in order to solve the equations for the unknown quantities. Connect word expressions to algebraic expressions. So let's try out the quiz and accept the challenge. All the best!

Questions and Answers

1.

Twenty-two less than a number, a all times three
- A.
  
  22 - a x 3
- B.
  
  (a - 22) x 3
- C.
  
  22 - 1 x 3
Correct Answer
B. (a - 22) x 3

Explanation
The correct answer is (a - 22) x 3. This is because the question states "twenty-two less than a number, a, all times three." This can be translated into the equation a - 22 x 3, which simplifies to (a - 22) x 3.

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2.

Twenty-two times a number, a, plus three
- A.
  
  A x 22 + 3
- B.
  
  3 + 2 x 22
- C.
  
  22 x a + 3
Correct Answer
C. 22 x a + 3

Explanation
The given expression "twenty-two times a number, a, plus three" can be represented as 22 multiplied by the number a, and then adding 3 to the product. Therefore, the correct answer is 22 x a + 3.

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3.

A number, a, increased by three, all times twenty-two
- A.
  
  A + 3 x 22
- B.
  
  (a + 3) x 22
- C.
  
  3 + a x 22
Correct Answer
B. (a + 3) x 22

Explanation
The correct answer is (a + 3) x 22 because the given statement "a number, a, increased by three, all times twenty-two" implies that we need to first add 3 to the number a, and then multiply the result by 22. This is represented by the expression (a + 3) x 22.

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4.

Twenty-two times a number, a, decreased by three
- A.
  
  22 x a - 3
- B.
  
  A x 22 - 3
- C.
  
  22 + a x 3
Correct Answer
A. 22 x a - 3

Explanation
The given expression, 22 x a - 3, represents "twenty-two times a number, a, decreased by three". This can be understood by breaking down the expression: 22 multiplied by a gives the result of "twenty-two times a number", and then subtracting 3 from that gives the final result of "twenty-two times a number, a, decreased by three".

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5.

A number, a, divided by three, increased by twenty-two
- A.
  
  3 / a + 22
- B.
  
  A / 3 + 22
- C.
  
  3 / a x 22
Correct Answer
B. A / 3 + 22

Explanation
The correct answer is a / 3 + 22 because the given statement states that a number, a, is divided by three and then increased by twenty-two. This can be represented as a / 3 + 22.

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6.

The sum of three and twenty-two, all divided by a number, a
- A.
  
  (3 + 22) / a
- B.
  
  A / (3 + 22)
- C.
  
  3 + 22 / a
Correct Answer
A. (3 + 22) / a

Explanation
The correct answer is (3 + 22) / a. This is because the expression is asking for the sum of three and twenty-two, and then dividing that sum by a number, represented by "a". Therefore, the sum of three and twenty-two is divided by "a".

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7.

A number, a, less than twenty-two, all times three
- A.
  
  22 - (a x 3)
- B.
  
  22 - a x 3
- C.
  
  (22 - a) x 3
Correct Answer
C. (22 - a) x 3

Explanation
The correct answer is (22 - a) x 3. This is because the given question states that we have a number, a, that is less than twenty-two, and we need to multiply it by three. To achieve this, we first subtract a from 22 to get the difference between 22 and a. Then, we multiply this difference by 3 to obtain the final result.

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8.

The sum of a number, a, and three, all divided by twenty-two
- A.
  
  (a + 3) / 22
- B.
  
  A + (3 / 22)
- C.
  
  A + 3 / 22
Correct Answer
A. (a + 3) / 22

Explanation
The given expression represents the sum of a number, "a", and three, divided by twenty-two. The correct answer is (a + 3) / 22 because the division should be performed after the addition. This means that "a" and 3 should be added first, and then the sum should be divided by 22.

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9.

A number, a, decreased by three and then increased by twenty-two
- A.
  
  3 - a + 22
- B.
  
  (a - 3) + 22
- C.
  
  A - 3 + 22
Correct Answer
C. A - 3 + 22

Explanation
The correct answer is (a - 3) + 22. This is because the question states that a number, a, is first decreased by three and then increased by twenty-two. So, we start with a and subtract 3, giving us (a - 3). Then, we add 22 to this result, giving us (a - 3) + 22.

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Could You Pass This Toughest Algebra Test?

Twenty-two less than a number, a all times three

Twenty-two times a number, a, plus three

A number, a, increased by three, all times twenty-two

Twenty-two times a number, a, decreased by three

A number, a, divided by three, increased by twenty-two

The sum of three and twenty-two, all divided by a number, a

A number, a, less than twenty-two, all times three

The sum of a number, a, and three, all divided by twenty-two

A number, a, decreased by three and then increased by twenty-two