Number Sense Quiz

To solve for x in the equation x + 8 = 12, we need to isolate x on one side of the equation. To do this, we can subtract 8 from both sides of the equation. This will give us x = 4, as 12 - 8 is equal to 4. Therefore, the correct answer is 4.

The equation 4x = 52 can be solved by dividing both sides of the equation by 4. This will give us x = 13. The answer is repeated multiple times in the given options, which is x = 13.

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The given expression "can be simplified to" suggests that the expression can be simplified further. However, since there is no expression provided, it is not possible to simplify it. Therefore, the answer is False.

To solve the equation 3x - 4 = 17, we need to isolate the variable x. First, we add 4 to both sides of the equation to get 3x = 21. Then, we divide both sides by 3 to solve for x, which gives us x = 7.

The expression is simplified by distributing the 4 to both terms inside the parentheses. This results in 8x - 24.

The equation 4x - 3 = 2x + 5 is solved by first subtracting 2x from both sides to isolate the x term. This gives us 2x - 3 = 5. Then, we add 3 to both sides to isolate the x term further. This gives us 2x = 8. Finally, we divide both sides by 2 to solve for x, resulting in x = 4.

The given equation is 2x + 8 = -10. To solve for x, we need to isolate x on one side of the equation. Subtracting 8 from both sides, we get 2x = -18. Dividing both sides by 2, we find x = -9. Therefore, the correct answer is x = -9.

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The given answer is 19/15. This is the correct answer because when we divide 19 by 15, we get a fraction greater than 1. In this case, the numerator (19) is greater than the denominator (15), which means the fraction is greater than 1. Therefore, 19/15 is the correct answer.

The answer 4/5 is obtained by simplifying the fractions given in the question. When we simplify 8/20, we get 2/5. Similarly, when we simplify 7/100, we get 7/100. Therefore, the fractions left are 2/5 and 7/100. To add these fractions, we need to find a common denominator, which is 100. We then convert 2/5 to 40/100 by multiplying the numerator and denominator by 20. Now we can add 40/100 and 7/100, resulting in 47/100. Finally, we simplify 47/100 to 4/5.

Number sense involves understanding numerical quantities, relationships between numbers, and the ability to perform mental calculations and estimate quantities based on this understanding. It is an intuitive grasp of numbers that helps individuals make sense of mathematical concepts and solve problems involving numbers effectively.

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You would be able to combine 7x with 10x and 12x because they have the same variable (x) and can be added together. However, you cannot combine 7x with 3y or 11 because they have different variables (y and no variable) and cannot be added together.