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Sami B.
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ACT
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Question:

The length of a box is 5 inches less than twice its width. What is the length, l, in terms of the width, w, of the box?

Sami B.

Start by pulling information from the question. We will use l to represent the length and w to represent the width. If the length of the box is 5 inches less than twice the width, then l = 2w - 5. "Twice the width" is equal to 2w, and 5 inches less than that means that 2w - 5 must equal the length, l.

Algebra
TutorMe
Question:

Solve for x of the following function: x^2 + 8x + 8 = -8

Sami B.

In order to solve this problem, we must begin by factoring the equation. By adding 8 to each side, we obtain the equation x^2 + 8x + 16 = 0. This equation can then be factored into the equation (x + 4) * (x + 4) = 0. Since one of the two parts of the equation must be equal to 0, x + 4 = 0, so x is equal to -4.

Algebra
TutorMe
Question:

What is the slope of a line with the equation 10x - y = 3 ?

Sami B.

The equation of a line is often written in the form y = mx + b. The variables x and y represent the x and y positions of a point on a graph, m represents the slope of the line, and b is the y-intercept. To rearrange the equation above, we can add y to each side. This will produce the equation 10x = 3 + y. If we subtract 3 from each side, we will have the equation 10x - 3 = y. Since this form resembles the general form we have above (y = mx + b), we can see that the slope of the line is 10, since m = 10.

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