1.
Evaluate the expression if x = -5 and y = -6
-3y + 5x
Correct Answer
B. -7
Explanation
When we substitute the values of x = -5 and y = -6 into the expression -3y + 5x, we get -3(-6) + 5(-5). This simplifies to 18 - 25, which equals -7. Therefore, the correct answer is -7.
2.
The product of a positive integer and its opposite is always
Correct Answer
B. Negative
Explanation
When we multiply a positive integer by its opposite, the result is always negative. This is because when we multiply a positive number by a negative number, the product is negative. Therefore, the correct answer is negative.
3.
The absolute value of any integer is always positive.
Correct Answer
A. True
Explanation
The absolute value of a number is the distance of that number from zero on the number line, and distance is always positive. Therefore, the absolute value of any integer will always be positive.
4.
The sum of two negative integers is always
Correct Answer
B. Negative
Explanation
When we add two negative integers, the result will always be negative. This is because a negative integer represents a value that is less than zero. Therefore, when we combine two negative values, the resulting value will still be less than zero, making it negative.
5.
-1(-1)(1)(-1)(-1)(1) =
Correct Answer
D. 1
Explanation
The given expression is a product of several negative and positive numbers. When multiplying negative and positive numbers together, the result is negative if there is an odd number of negative numbers, and positive if there is an even number of negative numbers. In this case, there are six negative numbers and one positive number, so the result is negative. Therefore, the correct answer is -1.
6.
- 8 x -2
Correct Answer
D. 16
Explanation
The given expression is -8 multiplied by -2. When we multiply two negative numbers, the result is always positive. Therefore, -8 multiplied by -2 equals 16.
7.
The answer to a multiplication problem is called the SUM.
Correct Answer
B. False
Explanation
The answer to a multiplication problem is called the product, not the sum.
8.
5 x -1 x -2 =
Correct Answer
D. 10
Explanation
To multiply the numbers 5, -1, and -2, we follow the rule of multiplying positive and negative numbers. When we multiply a positive number with a negative number, the result is always negative. Therefore, 5 x -1 = -5. Next, we multiply -5 with -2, which gives us a positive result because multiplying two negative numbers yields a positive number. Thus, -5 x -2 = 10. Therefore, the correct answer is 10.
9.
The property shown below is the commutative property:
-156 x -34 = -34 x -156
Correct Answer
A. True
Explanation
The commutative property states that the order of the numbers does not affect the result when performing a multiplication operation. In the given example, multiplying -156 by -34 is the same as multiplying -34 by -156, which demonstrates the commutative property. Therefore, the statement is true.
10.
(7 )(3)(-2)
Correct Answer
D. -42
Explanation
The given expression is (7)(3)(-2). When we multiply 7, 3, and -2 together, we get -42.
11.
-2 - (-7) + -3 - 2 - (-3) + -5
Correct Answer
-2
Explanation
The given expression involves addition and subtraction of negative numbers. When subtracting a negative number, it is equivalent to adding the positive counterpart. Therefore, -2 - (-7) is equal to -2 + 7, which gives us 5. The other terms in the expression can be simplified as follows: -3 - 2 = -5, -(-3) = 3, and -5 remains the same. Adding all these simplified terms together, we get -2. Therefore, the answer is -2.
12.
Which expression represents the amount spent per day if John spends $300 in 5 days?
Correct Answer
A. -300 / 5 = -$60
Explanation
The expression "-300 / 5" represents the amount spent per day if John spends $300 in 5 days. By dividing the total amount spent ($300) by the number of days (5), we can determine the average amount spent per day, which is $60.
13.
Temperatures have been falling steadily at 5 degrees each day. Which expression can be used to determine the change in temperature 7 days from today?
Correct Answer
C. -5 x 7 = -35
Explanation
The expression -5 x 7 = -35 can be used to determine the change in temperature 7 days from today. This is because the temperature has been falling steadily at 5 degrees each day, and multiplying -5 by 7 gives us the total change in temperature over 7 days, which is -35 degrees.
14.
The temperature in Alaska is -10 degrees. The temperature in Florida is 90 degrees.
What is the difference in the temperatures?
Correct Answer
B. 100 degrees
Explanation
The difference in temperature between Alaska and Florida is 100 degrees.
15.
-8 x 8
Correct Answer
C. -64
Explanation
The given expression is -8 multiplied by 8. When we multiply a negative number with a positive number, the result is always negative. Therefore, -8 multiplied by 8 equals -64.
16.
-42 / 6
Correct Answer
A. -7
Explanation
The given expression is -42 divided by 6. When we divide -42 by 6, we get -7 as the quotient. Therefore, the correct answer is -7.
17.
-4 - 15
Correct Answer
D. -19
Explanation
The correct answer is -19. To arrive at this answer, we need to subtract -15 from -4. When subtracting a negative number, it is equivalent to adding the positive value of that number. So, -4 - (-15) becomes -4 + 15, which gives us 11. However, since the original subtraction problem was -4 - 15, the answer is negative, resulting in -11. Therefore, the correct answer is -19.
18.
8 + (-14)
Correct Answer
A. -6
Explanation
The given expression is 8 + (-14). When adding a positive number and a negative number, we subtract the absolute value of the smaller number from the absolute value of the larger number and then assign the sign of the larger number. In this case, the absolute value of 8 is larger than the absolute value of -14. So, we subtract 14 from 8, which gives us -6. Therefore, the answer is -6.
19.
-2 + -3
Correct Answer
C. -5
Explanation
The correct answer is -5. This can be determined by adding the two negative numbers together. When adding -2 and -3, the result is -5.
20.
21 - (-7)
Correct Answer
A. 28
Explanation
The given expression is 21 - (-7). When subtracting a negative number, it is the same as adding the positive counterpart. Therefore, -(-7) becomes +7. So, the expression simplifies to 21 + 7, which equals 28.