Operations With Integers Quiz: Test!

1.

What is 5 - 10 + (-6) - (-12)?

Explanation
Start with the subtraction of negative numbers. Remember that subtracting a negative number is the same as adding its positive counterpart.
5 - 10 + (-6) + 12
Now, perform the addition and subtraction from left to right:
5 - 10 = -5 -5 + (-6) = -11 -11 + 12 = 1
So, the result of the expression is 1.

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2.

What is 23 - (-3) + (-8) - 14?

Explanation
The given expression involves addition and subtraction of integers. When subtracting a negative number, it is equivalent to adding the positive value of that number. Therefore, 23 - (-3) can be rewritten as 23 + 3, which equals 26. Then, adding -8 gives us 26 - 8, which equals 18. Finally, subtracting 14 from 18 gives us the final answer of 4.

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3.

What is 16 - 2 x 3 + 18 ÷ 9?

4.

What is 9 + 20 ÷ 5 - 17?

Explanation
To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS). First, we divide 20 by 5, which equals 4. Then, we add 9 to 4, resulting in 13. Finally, we subtract 17 from 13, giving us -4.

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5.

What is 27 x 3 ÷ (-9)?

Explanation
To solve this step by step:
First, multiply 27 by 3:
27 x 3 = 81.
Then, divide 81 by -9:
81 ÷ (-9) = -9.
So, the final answer is -9.

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6.

What is 150 ÷ (-5) x (-3)?

7.

What is 10 - 7 x 7 + 56 ÷ 8?

Explanation
In this expression, we need to follow the order of operations (PEMDAS/BODMAS). First, we perform multiplication and division from left to right. So, 7 x 7 equals 49 and 56 ÷ 8 equals 7. Next, we perform addition and subtraction from left to right. Subtracting 49 from 10 gives us -39, and adding 7 gives us -32. Therefore, the correct answer is -32.

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8.

What is 6 - 5 x (4 + 3)?

Explanation
To solve this expression, we follow the order of operations, which dictates that we perform the multiplication before the subtraction. First, we simplify the expression within the parentheses: 4 + 3 = 7. Next, we multiply 5 by 7, which gives us 35. Finally, we subtract 35 from 6, resulting in -29.

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9.

What is 5 + (2 - 4)3 x 7?

Explanation
To solve the expression 5 + (2 - 4) * 3 x 7, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).
Let's apply these rules step by step:
First, calculate the expression inside the parentheses:
2 - 4 = -2
Next, perform the multiplication:
-2 * 3 = -6
Now, complete the addition and multiplication from left to right:
5 + (-6) * 7
Perform the multiplication:
-6 * 7 = -42
Finally, complete the addition:
5 - 42 = -37
So, the result of the expression is -37.

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10.

What is -24 + 48 ÷ 2?

Explanation
The given expression involves addition and division. According to the order of operations, division should be performed before addition. Therefore, we first divide 48 by 2, which equals 24. Then, we add -24 to 24, resulting in 0.

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11.

Which of the following is Equivalent to -6 - (-7)?

A.

-6 + 7
B.

-6 - 7
C.

6 + 7
D.

-6 + (+7)

Correct Answer
A. -6 + 7

Explanation
The given expression -6 - (-7) can be simplified by changing the subtraction of a negative number to addition. When subtracting a negative number, it is equivalent to adding the positive number. Therefore, -6 - (-7) is the same as -6 + 7.

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12.

Which of the following is Equivalent to -6 - (+7)?

A.

-6 + 7
B.

-6 - 7
C.

6 + 7
D.

-6 + (+7)

Correct Answer
B. -6 - 7

Explanation
The given expression is asking for the equivalent of subtracting 7 from -6. In mathematics, subtracting a positive number is the same as adding its negative. Therefore, -6 - 7 is equivalent to -6 + (-7), which simplifies to -13.

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