Mastery Topics 1-1 Demo 2

1. Solve for the given variable: x + 7 = 5

To solve for x in the equation x + 7 = 5, we need to isolate the variable x. By subtracting 7 from both sides of the equation, we get x = 5 - 7, which simplifies to x = -2. Therefore, the value of x that satisfies the equation is -2.

Explanation

To solve for x in the equation x + 7 = 5, we need to isolate the variable x. By subtracting 7 from both sides of the equation, we get x = 5 - 7, which simplifies to x = -2. Therefore, the value of x that satisfies the equation is -2.

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2. Solve for the given variable: 0 = x - (-4)

The equation given is 0 = x - (-4). To solve for x, we need to isolate it on one side of the equation. Simplifying the equation, we can rewrite it as 0 = x + 4. To isolate x, we subtract 4 from both sides of the equation. This gives us x = -4. Therefore, the value of x that satisfies the equation is -4.

Explanation

The equation given is 0 = x - (-4). To solve for x, we need to isolate it on one side of the equation. Simplifying the equation, we can rewrite it as 0 = x + 4. To isolate x, we subtract 4 from both sides of the equation. This gives us x = -4. Therefore, the value of x that satisfies the equation is -4.

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3. Solve for the given variable: 3 = x - (-3)

The equation is asking us to solve for the variable x. To do this, we need to simplify the equation. The expression "-(-3)" can be simplified to just "3". So, the equation becomes 3 = x + 3. To isolate the variable x, we subtract 3 from both sides of the equation. This gives us 0 = x. Therefore, the solution to the equation is x = 0.

Explanation

The equation is asking us to solve for the variable x. To do this, we need to simplify the equation. The expression "-(-3)" can be simplified to just "3". So, the equation becomes 3 = x + 3. To isolate the variable x, we subtract 3 from both sides of the equation. This gives us 0 = x. Therefore, the solution to the equation is x = 0.

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4. Solve for the given variable: 8 = x - (-6)

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can simplify the equation by adding 6 to both sides, which gives us 14 = x. Then, dividing both sides by 2, we find that x = 7. Therefore, the correct answer is 7.

Explanation

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can simplify the equation by adding 6 to both sides, which gives us 14 = x. Then, dividing both sides by 2, we find that x = 7. Therefore, the correct answer is 7.

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5. Solve for the given variable: 19 = x - (- 9)

To solve for x, we need to isolate the variable. In the given equation, we have 19 = x - (-9) / 10. To remove the negative sign in front of -9, we can rewrite it as 19 = x + 9 / 10. To isolate x, we can subtract 9/10 from both sides of the equation. This gives us 19 - 9/10 = x. Simplifying the left side, we have 190/10 - 9/10 = x. Combining like terms, we get 181/10 = x. Therefore, x is equal to 181/10 or 18.1.

Explanation

To solve for x, we need to isolate the variable. In the given equation, we have 19 = x - (-9) / 10. To remove the negative sign in front of -9, we can rewrite it as 19 = x + 9 / 10. To isolate x, we can subtract 9/10 from both sides of the equation. This gives us 19 - 9/10 = x. Simplifying the left side, we have 190/10 - 9/10 = x. Combining like terms, we get 181/10 = x. Therefore, x is equal to 181/10 or 18.1.

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7. Solve for the given variable: x - (-10) = 10

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can remove the negative sign in front of -10 by changing it to a positive 10. This gives us x + 10 = 10. Next, we can subtract 10 from both sides of the equation to cancel out the 10 on the right side, leaving us with x = 0. Therefore, the value of x that satisfies the equation is 0.

Explanation

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can remove the negative sign in front of -10 by changing it to a positive 10. This gives us x + 10 = 10. Next, we can subtract 10 from both sides of the equation to cancel out the 10 on the right side, leaving us with x = 0. Therefore, the value of x that satisfies the equation is 0.

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9. Solve for the given variable: x + 20 = 6

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can subtract 20 from both sides of the equation. This will cancel out the 20 on the left side, leaving us with x = 6 - 20. Simplifying further, we get x = -14. Therefore, the correct answer is -14.

Explanation

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can subtract 20 from both sides of the equation. This will cancel out the 20 on the left side, leaving us with x = 6 - 20. Simplifying further, we get x = -14. Therefore, the correct answer is -14.

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10. Solve for the given variable: x + 10 = 4

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can subtract 10 from both sides of the equation. This will give us x + 10 - 10 = 4 - 10, which simplifies to x = -6. Therefore, the correct answer is -6.

Explanation

To solve for the variable x, we need to isolate it on one side of the equation. To do this, we can subtract 10 from both sides of the equation. This will give us x + 10 - 10 = 4 - 10, which simplifies to x = -6. Therefore, the correct answer is -6.

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