1.
Twenty-two less than a number, a all times three
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.
2.
Twenty-two times a number, a, plus three
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.
3.
A number, a, increased by three, all times twenty-two
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.
4.
Twenty-two times a number, a, decreased by three
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".
5.
A number, a, divided by three, increased by twenty-two
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.
6.
The sum of three and twenty-two, all divided by a number, 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".
7.
A number, a, less than twenty-two, all times three
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.
8.
The sum of a number, a, and three, all divided by twenty-two
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.
9.
A number, a, decreased by three and then increased by twenty-two
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.