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Explanation When adding a positive and a negative number, you can think of it as moving along a number line. Start at -2 and move 8 units to the right (since 8 is positive). This brings you to 6.
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2.
5 - 14
Explanation The given expression is 5 - 14, which equals -9.
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3.
(-4)(-12)
Explanation The given expression (-4)(-12) can be simplified by multiplying the two negative numbers. When two negative numbers are multiplied, the result is always positive. Therefore, (-4)(-12) equals 48.
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4.
60/-12
5.
-23 + (-5)
Explanation The given expression is the sum of -23 and -5. When adding two negative numbers, the result is always negative. Therefore, the correct answer is -28.
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6.
-7 - 15
Explanation The correct answer is -22 because when we subtract -15 from -7, we add the opposite of -15 which is 15. So, -7 + 15 equals 8. Therefore, -7 - 15 is equal to -22.
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7.
(-5)(10)
Explanation The given expression is the product of -5 and 10. When we multiply a negative number by a positive number, the result is always negative. Therefore, the product of -5 and 10 is -50.
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8.
-100/10
Explanation The given expression is -100 divided by 10. When we divide -100 by 10, we get -10 as the result. This is because when a negative number is divided by a positive number, the quotient is negative. Therefore, -100 divided by 10 equals -10.
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9.
-4 + 9 - (-12)
Explanation The given expression is -4 + 9 - (-12). To simplify this expression, we can remove the parentheses by changing the sign of the term inside the parentheses. So, -4 + 9 + 12 equals 17. Therefore, the answer is 17.
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10.
(-3)(6)(-10)
Explanation The given expression (-3)(6)(-10) can be simplified by multiplying the numbers together. When we multiply -3, 6, and -10, we get -180. However, since the question asks for the absolute value, we take the positive value of -180, which is 180. Therefore, the correct answer is 180.
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11.
(-6)(7) - 8
Explanation The given expression is (-6)(7) - 8. To simplify this expression, we first multiply -6 and 7, which gives us -42. Then we subtract 8 from -42, resulting in -50. Therefore, the correct answer is -50.
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12.
Evaluate when x = 2 and y = -5
2x + y
Explanation The given expression is 2x + y. Substituting the values x = 2 and y = -5 into the expression, we get 2(2) + (-5) = 4 - 5 = -1. Therefore, the answer is -1.
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13.
Evaluate when x = 2 and y = -5
xy - 4
Explanation When x = 2 and y = -5, we can substitute these values into the expression xy - 4. Therefore, we have (2)(-5) - 4 = -10 - 4 = -14. Hence, the answer is -14.
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14.
Evaluate when x = 2 and y = -5
3y - 2x
Explanation To evaluate the expression 3y - 2x when x = 2 and y = -5, we substitute the given values into the expression. Therefore, we have 3(-5) - 2(2). Simplifying this expression, we get -15 - 4, which equals -19. So, the answer is -19.
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15.
Find
16.
Find
17.
Solve.
One solution is y = 7. What is the other solution?
Remember to answer with the variable. Ex: y = 10
Explanation The other solution to the equation is y = -7.
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18.
Solve.
-x = 8
Remember to answer with the variable. Ex: x = 10
Explanation The equation -x = 8 can be solved by multiplying both sides of the equation by -1. This will give us x = -8, which means that the value of x that satisfies the equation is -8.
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