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Tutor profile: Sarah C.

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Sarah C.
Systems Engineering Graduate
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Questions

Subject: Pre-Calculus

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Question:

I need help finding the y intercept and x intercept. f(x) = 2x - 4

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Sarah C.
Answer:

Hi! To solve for the y intercept, set all of the x's equal to 0 to get (0, y) In this problem: f(0) = 2(0) - 4 f(0) = 0 - 4 f(0) = -4 Remember f(x) is y! Therefore the y intercept is (0, -4) because when you set x equal to 0, y is equal to -4 To solve for the x intercept, set the y's or f(x) equal to 0 and solve for x. In this problem: 0 = 2x - 4 Combine like terms to isolate the x. Add the 4 on both sides to combine the integer terms. 4 = 2x Isolate the x. Divide 2 on both sides. 4/2 = 2x/2 2 = x x =2 Therefore the x intercept is (2, 0)

Subject: Pre-Algebra

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Question:

4a + 3a = 7. Solve for a. Hey there! I am confused how to solve for variables. Can you explain?

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Sarah C.
Answer:

Hi! Solving for variables can be tricky but if you remember a few steps, you should be able to solve all variable related problems! Step 1: Re order terms. This means put all the like terms on the same side using addition/subtraction. In this specific problem, all terms containing "a" are already on the left and the integer value is on the right. Step 2: Combine like terms. This means combining both terms containing the variable "a". 4a + 3a = 7a 7a = 7 Step 3: Isolate the a. This means get the "a" by itself. To cancel out multiplication, use division. Divide 7 on both sides. 7a / 7 = 7/ 7 a = 1

Subject: Algebra

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Question:

I am having trouble solving algebra equations with two variables. For example, what are the steps in solving: 2x - 3 = x + 4

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Sarah C.
Answer:

Hi there! Don't be afraid of two variable equations! They are the same as one variable equations, just with one extra step! Step 1: Get all of the x variables on one side and the other values on the other. Step 2: When moving values from one side of the equal sign to the other, you have to first add/subtract that value to make it equal to 0 and then re add/subtract the value on the opposite side. 2x -3 (+3) = x + 4 (+3) *** added +3 on both sides, which cancels the -3 out on the left*** 2x = x + 7 *** when adding +3 on the right, you get 4+3=7*** 2x (-x) = x (-x) + 7 *** subtracted the x on both sides, which cancels out the x on the right*** 1x = 7 *** when subtracting the x from 2x, you get 2x-x =1x *** Step 3: Lastly, if a value is in front of the x variable, divide the SAME value on both sides to isolate the x. You divide because when a value is connected to a variable it is being multiplied. To undo multiplication, use division! In this example, you would just divide 1, which yields the same result. 1x/1 = 7/1 x=7

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