# Tutor profile: Alyssa A.

## Questions

### Subject: Pre-Algebra

Use the distributive property to simplify the expression 9(–5 + 12c) .

We will solve this problem using the Distributive Property. First we will distribute the 9 throughout the parentheses: 9(-5) + 9(12c) Then we multiply 9 times the -5. Which is -45, because a positive times a negative is always negative. Then multiply 9 times 12c. Which is 108c, because the coefficients are multiplied and the variable (c) stays the same. So your answer is: 9(–5 + 12c) 9(-5) + 9(12c) -45 + 108c

### Subject: Basic Math

Solve 3 +(35 – 21) x 2.

In order to solve, you must use "The order of operation" rules, or refer to PEMDAS: P: Parentheses first E: Exponents (ie Powers and Square Roots, etc.) MD: Multiplication and Division (left-to-right) AS: Addition and Subtraction (left-to-right) Solve the problem inside the parentheses first: (35-21) =14 Bring everything else in the equation down. Then do multiplication: 14x2 = 28 Finally do addition: 3+28 = 31 3 + (35 – 21) x 2 3 + (14) x 2 3 + 28 = 31

### Subject: Algebra

3 times a number is decreased by 5. The result is 25. What is the number?

To solve the problem, first use a variable to represent the number. n: the number Next, write a mathematical statement about the number by translating the word problem into mathematical language. "Decreased by" means "minus (-)", and "the result is" means "equals (=)". So, the word problem can be directly translated into mathematical language with this equation: 3n - 5 = 25 From there, you can simply solve the equation. The value n, the number is 10.

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