Chapter 2 Practice Quiz

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2) 8 - 10

The given question is asking for the result of subtracting 10 from 8. When we subtract 10 from 8, we get -2.

Explanation

The given question is asking for the result of subtracting 10 from 8. When we subtract 10 from 8, we get -2.

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3) 20 + (-14)

The given expression is a simple addition problem where we are adding 20 and -14. When we add a positive number and a negative number, we subtract the smaller absolute value from the larger absolute value and keep the sign of the larger number. In this case, the absolute value of 20 is larger than the absolute value of -14, so we subtract 14 from 20 and keep the positive sign, resulting in 6.

Explanation

The given expression is a simple addition problem where we are adding 20 and -14. When we add a positive number and a negative number, we subtract the smaller absolute value from the larger absolute value and keep the sign of the larger number. In this case, the absolute value of 20 is larger than the absolute value of -14, so we subtract 14 from 20 and keep the positive sign, resulting in 6.

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4) -25 - (-15)

The given expression is "-25 - (-15)". To subtract a negative number, we change the sign of the negative number and then add it. So, "-(-15)" becomes "+15". Now, we can subtract 15 from 25, which gives us 10. However, since the negative sign is in front of the entire expression, the final answer is -10.

Explanation

The given expression is "-25 - (-15)". To subtract a negative number, we change the sign of the negative number and then add it. So, "-(-15)" becomes "+15". Now, we can subtract 15 from 25, which gives us 10. However, since the negative sign is in front of the entire expression, the final answer is -10.

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5) -6 + (-10)

The given expression is the sum of -6 and -10. When we add a negative number to another negative number, the sum becomes even more negative. In this case, -6 plus -10 equals -16.

Explanation

The given expression is the sum of -6 and -10. When we add a negative number to another negative number, the sum becomes even more negative. In this case, -6 plus -10 equals -16.

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6) 22 - (-6)

The expression 22 - (-6) can be simplified by adding the opposite of -6, which is 6, to 22. This gives us 22 + 6, which equals 28.

Explanation

The expression 22 - (-6) can be simplified by adding the opposite of -6, which is 6, to 22. This gives us 22 + 6, which equals 28.

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7) -60 + (-25)

The given expression is the sum of -60 and -25. When we add these two negative numbers, the result is also negative. Therefore, the correct answer is -85.

Explanation

The given expression is the sum of -60 and -25. When we add these two negative numbers, the result is also negative. Therefore, the correct answer is -85.

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9) (-3)(-10)

When multiplying two negative numbers, the result is always positive. In this case, multiplying -3 and -10 gives us 30, which is a positive number. Therefore, the correct answer is 30.

Explanation

When multiplying two negative numbers, the result is always positive. In this case, multiplying -3 and -10 gives us 30, which is a positive number. Therefore, the correct answer is 30.

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13) Simplify the expression -16m + 4m

The expression -16m + 4m can be simplified by combining like terms. Like terms have the same variable and exponent. In this case, both terms have the variable m. When we add -16m and 4m, we get -12m. Therefore, the simplified expression is -12m. The answer -12 m is incorrect because there should not be a space between the number and the variable.

Explanation

The expression -16m + 4m can be simplified by combining like terms. Like terms have the same variable and exponent. In this case, both terms have the variable m. When we add -16m and 4m, we get -12m. Therefore, the simplified expression is -12m. The answer -12 m is incorrect because there should not be a space between the number and the variable.

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14) Simplify the expression 8a - 17a

The expression 8a - 17a can be simplified by combining like terms. In this case, both terms have the variable "a" and can be added together. When we subtract 17a from 8a, we get -9a. Therefore, the correct answer is -9a.

Explanation

The expression 8a - 17a can be simplified by combining like terms. In this case, both terms have the variable "a" and can be added together. When we subtract 17a from 8a, we get -9a. Therefore, the correct answer is -9a.

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