Tutor profile: Madeline V.

Solve the following equation: 3(x-4)=2(-2x+1)

1. Use the distributive property (using multiplication) to get rid of the parenthesis. 3x - 12 = -4x + 2 2. Then we need to use inverse operations to isolate the variable. Get all of the variables on one side and all the numbers on the other. Our goal is to finish with a single positive variable. 3x - 12 = -4x + 2 +4x +4x ______________ 7x - 12 = 2 +12 +12 ______________ 7x = 14 /7 /7 _____ x = 2

Solve the following: -12.93 + 3.12

1. Determine if they are the same signs or are they different signs. 2. Since they are different we are going to subtract the two numbers from each other. 3. Stack up the two numbers and line up the decimal points. Place the larger number on top and subtract. 12.93 - 3.12 _____ 9.81 4. Which number is larger? 12.93 so keep the sign of that number. Since it is negative, our answer must be negative. Answer: -9.81

Solve the following system of equation using the elimination method. 2x-y=6 x+y=6

1. Determine if we have a variable that have the same coefficient (number in front of variable) and opposite signs. Since our y's have the same coefficient with opposite signs we can add the two equations together and we end up with 3x = 12. Solve for x. 3x = 12 /3 /3 ______ x = 4 2. Take the value of x and plug it into one of our original equations and solve for y. 2(4) - y = 6 8 - y = 6 -8 -8 ________ - y = -2 **remember we want a positive variable) y = 2 3. The solution to our system of equation is (4, 2). That is the point where our two lines intersect.