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Kenna H.
Analyst that Enjoys Piano and Math
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Pre-Algebra
TutorMe
Question:

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

Kenna H.

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

Basic Math
TutorMe
Question:

What is 3 x 4?

Kenna H.

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

Algebra
TutorMe
Question:

If X + ½ = ¾ + ⅛, what is X?

Kenna H.

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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