# Tutor profile: Mary C.

## Questions

### Subject: Pre-Calculus

Factor. x^2 + 5x + 6

Multiple 6 by the coefficient of x^2. = 6 x 1 = 6. Find two numbers that multiply to 6 and add up to 5. ( Because 5 is the middle number of the equation (5x)). 2 x 3 = 6 2 + 3 = 5. Answer: (x+2)(x+3)

### Subject: Basic Math

491 ÷ 9 =?

9√491 (9 goes into 49 how many times? - 5 times. So put a 5 above the 49 in 491.) 5 9√491 -45↓ = 41 (Bring down the one from 491.) (9 goes into 41 how many times? - 4 times. So put a 4 above the 1 in 491.) 54 9√491 -45 = 41 -36 ------- 5 (There is a remainder of 5.) So, the answer is: 54 r5 (The 'r' represents 'remainder'.)

### Subject: Algebra

Simplify the following expression: 4(a-3) + 2b - 4(a - b - 3) + 7

Multiply factors. (Use distribution) = 4a - 12 + 2b - 4a + 4b + 12 + 7 Combine like terms. = 4a - 4a + 2b + 4b - 12 + 12 + 7 Simplify. = 6b + 7

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