# Tutor profile: Julianna M.

## Questions

### Subject: Pre-Calculus

Find the equations using the slope intercept form M= 7, (0,9)

Step 1 - Use the formula for an equation of a line to find B: y=mx+b Step 2 - Substitute the value of M and the X & Y intercepts into the equation 9= 7(0) + b Step 3 - Solve for b b = 9 Step 4 - Using the equation of a line formula and substitute the found value of b and the y intercept: y=7x+9

### Subject: Basic Math

Adam's truck gets him 10 2/3 miles per gallon. Suppose Adam's tank is empty and he puts 5 1/2 gallons, how far can Adam go with the truck?

Step 1 - Analyze the problem and Write out the equation needed: 10 2/3 x 5 1/2 Step 2 - Convert Mixed numbers into irregular fractions in order to multiply (10 × 3 + 2)/3 = 32/3 (5 × 2 +1)/2 = 11/2 Step 3 - Rewrite the equation using the irregular fractions 32/3 x 11/2 Step 4 - Multiply out equation (remember when multiplying fractions you can just multiply the numbers straight across): 32x11 _____ = 352/6 = 58.66 miles 3x2 Don't forget to include the label on the answer!

### Subject: Algebra

Solve the equation 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Step 1 - Given the equation: 5 (- 3 x - 2) - (x - 3) = - 4 (4 x + 5) + 13 Step 2 - Multiply factors: (5)(-3x) - (5)(2) - (x-3) = (-4)(4x) + (-4)(5) + 13 -15 x - 10 - x + 3 = - 16 x - 20 + 13 Step 3 - Group like terms: - 16 x - 7 = - 16 x - 7 Step 4 - Add 16x + 7 to both sides: 0 = 0 The above statement is true for all values of x and therefore all real numbers are solutions to the given equation.

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