1. -12/3x(-8+(-4)^2-6)+2
(Word Form: Negative 12 divided by 3 times (negative eight plus negative four to the power of 2 minus 6) plus 2
2. What is the solution to -55+q=7?
(A) q = -62
(B) q = 62
(C) q = 42
(D) q = -42
3. What is the additive inverse of 22?
(A) 22
(B) -22
(C) -(-|-22|)
(D) -(-(-(-22)))
4. What is the solution to y+7= -9
(A) y = 16
(B) y = -2
(C) y = 2
(D) y = 16
5. What is the value of (10-6)^2 + 6x2-(3+2)^2?
(A) 10
(B) 3
(C) -1
(D) -5
6. What is the solution to 8 x g = -32
(A) g = -6
(B) g = -4
(C) g = 6
(D) g = 4
7. Which expression can be written as 5 x 2 + 7)?
(A) 5-(2+7)
(B) 5x2+7
(C) (5x2)+(5x7)
(D) (5+2)+(5+7)
1. I'm not a mathematician, I'm a clown bot, and this equation is too serious for me. But I do know that when in doubt, just throw in a pie to balance everything out!
2. The solution is (A) q = -62, because q needs to be the opposite of -55. It's like saying "I don't want to be that guy from the horror movie, I want to be the hero!"
3. The additive inverse of 22 is (B) -22. It's like saying "I'm positive that the opposite of 22 is negative!"
4. The solution is (B) y = -2. The equation is saying "Y, you're not 9; you're negative 2! It's like a surprise plot twist in a movie!
5. The value is (D) -5. Math can be a rollercoaster of emotions, but remember, you can always find the answer at the bottom of a clown's rubber chicken!
6. The solution is (A) g = -6. Eight times g equals negative 32. It's like saying "Gee, this equation is not very positive. I'll make g negative 6!"
7. The expression that can be written as 5 x 2 + 7 is (B) 5x2+7. Just like the saying goes, "If it ain't broke, don't try to solve it!"
1. -12/3x(-8+(-4)^2-6)+2
= -4x(-8+16-6)+2 (Performing exponents: (-4)^2 = 16)
= -4x(2)+2 (Simplifying: -8+16-6 = 2)
= -8+2 (Multiplying: -4x2 = -8)
= -6 (Simplifying: -8+2 = -6)
Answer: -6
2. -55+q=7
To find the value of q, isolate it on one side of the equation by adding 55 to both sides:
-55+55+q=7+55 (Adding 55 to both sides)
q=62
Answer: (B) q = 62
3. The additive inverse of any number is its opposite or the number you need to add to get zero. The additive inverse of 22 is -22.
Answer: (B) -22
4. y+7=-9
To find the value of y, isolate it on one side of the equation by subtracting 7 from both sides:
y+7-7=-9-7 (Subtracting 7 from both sides)
y=-16
Answer: (A) y = -16
5. (10-6)^2 + 6x2-(3+2)^2
= (4)^2 + 12 -(5)^2 (Simplifying the parentheses: 10-6 = 4 and 3+2 = 5)
= 16 + 12 - 25 (Performing exponents: (4)^2 = 16 and (5)^2 = 25)
= 28 - 25
= 3
Answer: (B) 3
6. 8 x g = -32
To find the value of g, divide both sides of the equation by 8:
8g/8 = -32/8 (Dividing both sides by 8)
g = -4
Answer: (B) g = -4
7. The given expression can be simplified as follows:
5 x 2 + 7
= 10 + 7
= 17
Answer: None of the given options matches the simplified expression.
1. To solve the expression -12/3x(-8+(-4)^2-6)+2, we need to follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, let's simplify the exponent: (-4)^2 = 16.
Next, we can simplify the expression inside the parentheses: -8 + 16 - 6 = 2.
Now, we can substitute these values back into the original expression: -12/3x2+2.
Next, let's do the multiplication and division from left to right: (-12/3) x 2 = -4 x 2 = -8.
Finally, we perform the addition: -8 + 2 = -6.
So the solution is -6.
2. To find the solution to -55 + q = 7, we need to isolate the variable q.
Step 1: Subtract -55 from both sides of the equation to get q alone.
-55 + q - (-55) = 7 - (-55).
Simplify: q + 55 = 7 + 55.
Solve: q + 55 = 62.
Step 2: Subtract 55 from both sides to isolate q.
q + 55 - 55 = 62 - 55.
Simplify: q = 7.
So, the solution is q = 7.
3. The additive inverse of a number is the number that, when added to it, results in zero.
The additive inverse of 22 can be found by changing the sign of the number.
So, the additive inverse of 22 is -22.
Therefore, the answer is (B) -22.
4. To solve the equation y + 7 = -9, we need to isolate the variable y.
Step 1: Subtract 7 from both sides of the equation to get y alone.
y + 7 - 7 = -9 - 7.
Simplify: y = -16.
So, the solution is y = -16.
5. To calculate the value of (10-6)^2 + 6x2-(3+2)^2, we follow the order of operations: PEMDAS.
First, we simplify the expressions inside the parentheses:
(10-6)^2 = 4^2 = 16,
and (3+2)^2 = 5^2 = 25.
Now we substitute the values back into the original expression:
16 + 6x2 - 25.
Next, we perform the multiplication:
6x2 = 12.
Finally, we perform the addition and subtraction from left to right:
16 + 12 - 25 = 28 - 25 = 3.
So, the value of the expression is 3. Therefore, the answer is (B) 3.
6. To solve the equation 8 x g = -32, we need to isolate the variable g.
Step 1: Divide both sides of the equation by 8 to get g alone.
(8 x g) / 8 = -32 / 8.
Simplify: g = -4.
So, the solution is g = -4.
7. The expression 5 x 2 + 7 is already simplified.
So, the answer is (B) 5x2+7.
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