1.
- 243 + 18=
Correct Answer
A. -225
Explanation
The given question requires adding 243 and 18. When adding a positive number to a negative number, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. In this case, the absolute value of -243 is larger than 18, so we subtract 18 from 243 and keep the negative sign, resulting in -225.
2.
196 + (-8) =
Correct Answer
D. 188
Explanation
When adding a positive number and a negative number, the result will have the sign of the larger number. In this case, 196 is positive and -8 is negative. Since 196 is larger in magnitude, the result will be positive. Therefore, the correct answer is 188.
3.
19 - (-5) =
Correct Answer
A. 24
Explanation
The given equation is 19 - (-5). When subtracting a negative number, it is equivalent to adding the positive equivalent of that number. So, -(-5) becomes +5. Therefore, 19 - (-5) is equal to 19 + 5, which equals 24.
4.
-81 - (-3) =
Correct Answer
C. -78
Explanation
The given expression involves subtracting a negative number from a negative number. When we subtract a negative number, it is equivalent to adding the positive value of that number. So, in this case, -81 - (-3) can be rewritten as -81 + 3. Adding these two numbers gives us -78, which is the correct answer.
5.
-48 - 12=
Correct Answer
B. -60
Explanation
The given equation is -48 - 12. When subtracting a negative number, it is equivalent to adding the positive number. Therefore, -48 - 12 can be rewritten as -48 + (-12). Adding -48 and -12 gives us -60, which is the correct answer.
6.
24(-8)=
Correct Answer
B. -192
Explanation
When multiplying a positive number by a negative number, the result is always negative. In this case, 24 is being multiplied by -8, so the answer will be negative. The absolute value of 24 times 8 is 192, so the answer is -192.
7.
-164/8
Correct Answer
D. -20.5
Explanation
The correct answer is -20.5 because when dividing -164 by 8, we get a quotient of -20.5. This means that -20.5 is the result of dividing -164 into 8 equal parts.
8.
-8 x (-15)=
Correct Answer
A. 120
Explanation
When multiplying two negative numbers, the result is always positive. In this case, -8 multiplied by -15 equals 120.
9.
52 (-13)=
Correct Answer
B. -4
Explanation
The given expression is 52 (-13). When we multiply 52 by -13, we get -676. Therefore, the correct answer is -676.
10.
-18 + 5 - (-7) + 3
Correct Answer
C. -3
Explanation
The given expression involves addition and subtraction of integers. When we simplify the expression, we first perform the operation within the parentheses, which is multiplying -7 by -1 to get 7. Then, we add and subtract the numbers according to the order of operations. -18 + 5 gives us -13, and then adding 7 gives us -6. Finally, adding 3 gives us a final result of -3.
11.
5 - 8 + 3 + (-17)
Correct Answer
C. -17
Explanation
The given expression involves addition and subtraction of integers. We start by subtracting 8 from 5, which gives us -3. Then, we add 3 to -3, resulting in 0. Finally, we add -17 to 0, giving us a final answer of -17.
12.
Evaluate x - 2y + 2x - y When x = 1 and y = 2
Correct Answer
D. -3
Explanation
When x = 1 and y = 2, we can substitute these values into the expression x - 2y + 2x - y. Simplifying the expression, we get 1 - 4 + 2 - 2 = -3. Therefore, the correct answer is -3.
13.
(-13t + 8z) + (-24t - 9z)
Correct Answer
B. -37t - z
Explanation
The given expression is (-13t + 8z) + (-24t - 9z). To simplify this expression, we can combine like terms. The t terms are -13t and -24t, which can be combined to give -37t. Similarly, the z terms are 8z and -9z, which can be combined to give -z. Therefore, the simplified expression is -37t - z.