| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Solve for x:
-3x + 7 = -6 - 4x
| -\(\frac{7}{8}\) | |
| -13 | |
| \(\frac{6}{7}\) | |
| \(\frac{4}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-3x + 7 = -6 - 4x
-3x = -6 - 4x - 7
-3x + 4x = -6 - 7
x = -13
If side a = 4, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{80} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{89} \) | |
| \( \sqrt{106} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 52
c2 = 16 + 25
c2 = 41
c = \( \sqrt{41} \)
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
What is 9a7 - 2a7?
| 18a14 | |
| a714 | |
| 7a7 | |
| 11a14 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
9a7 - 2a7 = 7a7
Simplify 8a x 6b.
| 48ab | |
| 48a2b2 | |
| 14ab | |
| 48\( \frac{a}{b} \) |
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.
8a x 6b = (8 x 6) (a x b) = 48ab