# Tutor profile: Katie B.

## Questions

### Subject: Pre-Algebra

Write a variable expression for 23 reduced by x.

A variable expression is a math equation that involves a letter or an unknown variable. The word reduced is another word for subtraction. When you reduce something you are making it smaller, when you subtract a number from something you are making it smaller. The variable expression would look like this: 23 - x

### Subject: Basic Math

Add. 1/3 + 1/6

A key to remember when working with adding and subtracting fractions: The denominators (bottom number) must be the same. First step in adding fractions with unlike denominators is to find a least (meaning the smallest) common denominator. What number do the numbers 3 and 6 have in common. Start from the beginning, counting by 3's: 3, 6, 9, 12.... Now count by 6's: 6, 12, 18... What is the smallest number that 3 and 6 have in common (6). You can see that one fraction already has a 6 as the denominator, so the only fraction you need to adjust is 1/3. This requires a little basic multiplication. Important key: whatever you do the bottom of the fraction, you must do to the top. When you multiply both the top and bottom number by 2, you get the new fraction 2/6. Last step, add the fractions together. You add the top numbers together (2+1 =2) and transfer the bottom number (6) to the bottom of the new fraction (3/6).

### Subject: Algebra

Solve for x. 6 - 2x = - 4

The steps to solving a two-step linear equation. Important note to remember: What you do to one side of the equation you must do the other. First isolate the variable (x) to one side of the equal sign by subtracting 6 from both sides of the equal sign. When you subtract 6 from left side (6-6=0) the six cancels out. When you subtract 6 from the right side ( - 4 - 6 = - 10) you are left with - 10. The new equation you have should look like this: - 2x = - 10. Remember: you are trying to isolate (get x alone) on one side of the equation. The x is currently tied to a - 2 by multiplication. To untie the x from the - 2, you need to do the opposite of multiplication, division. Divide both sides of the equal sign by -2. When you divide the left side by -2, (-2/-2 =1), you are left with 1x (or just x). When you divide the right side of the equal sign by -2, (-10/-2 = 5), you are left with 5. The final equation that you have in front of you is x = 5.

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