| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.58 |
| Score | 0% | 52% |
Solve 2c - 9c = -9c - 3x + 8 for c in terms of x.
| \(\frac{1}{16}\)x - \(\frac{3}{16}\) | |
| -8\(\frac{1}{2}\)x - 2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\)x + \(\frac{5}{8}\) | |
| \(\frac{6}{11}\)x + \(\frac{8}{11}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
2c - 9x = -9c - 3x + 8
2c = -9c - 3x + 8 + 9x
2c + 9c = -3x + 8 + 9x
11c = 6x + 8
c = \( \frac{6x + 8}{11} \)
c = \( \frac{6x}{11} \) + \( \frac{8}{11} \)
c = \(\frac{6}{11}\)x + \(\frac{8}{11}\)
If b = 5 and x = -6, what is the value of -8b(b - x)?
| -140 | |
| -440 | |
| -196 | |
| 165 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-8b(b - x)
-8(5)(5 + 6)
-8(5)(11)
(-40)(11)
-440
Simplify (6a)(3ab) - (3a2)(7b).
| 39a2b | |
| 3ab2 | |
| 39ab2 | |
| -3a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(6a)(3ab) - (3a2)(7b)
(6 x 3)(a x a x b) - (3 x 7)(a2 x b)
(18)(a1+1 x b) - (21)(a2b)
18a2b - 21a2b
-3a2b
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
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x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.