# Tutor profile: Kenna H.

## Questions

### Subject: Pre-Algebra

Evaluate the expression: $$ (3 \times 2)^2 + 15 \div 3 $$

When solving equations, it's important to remember the order of operations. To do this, we'll use the mnemonic device PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction). We first begin with the parentheses. $$ (3 \times 2) $$ = 6 Our equation now reads: $$6^2 + 15 \div 3 $$ Next up is the exponent. $$ 6^2 $$ = 36 Now our equation reads: 36 + 15 $$ \div $$ 3 We'll next look at any multiplication or division. $$ 15 \div 3 = 5 $$ The equation is now down to: 36 + 5 = 41 Therefore, $$ (3 \times 2)^2 + 15 \div 3 $$ = 41

### Subject: Basic Math

What is 3 x 4?

When we multiply, we are adding groups of numbers. In this case, we want to add three groups of 4. 1 group of 4 + 1 group of 4 + 1 group of 4 = 3 groups of 4 = 12 3 x 4 = 12

### Subject: Algebra

If X + ½ = ¾ + ⅛, what is X?

We'll start by adding ¾ + ⅛. In order to do this, we'll need to find a common denominator for these fractions. If we look at the multiples of 4 (4, 8, 12, 16...) we find that 8 is a common denominator. ¾ is equal to 6/8, and we can now add 6/8 + ⅛. This is ⅞. The equation now reads X + ½ = ⅞ To find out what X is, we want to create an equation that reads X = ... If X + ½ = ⅞, that means X = ⅞ - ½ Again, we'll need to find a common denominator to solve this equation. By looking at the multiples of 2 (2, 4, 6, 8, 10...) we find that 8 is once again a common denominator. ½ is equal to 4/8. The equation now reads X = ⅞ - 4/8, which is a problem we can solve. Therefore, X = ⅜ We can check our answer by substituting "⅜" for X in the original equation. ⅜ + ½ = ¾ + ⅛ ⅞ = ⅞ True.

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