| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
What is 3a + 8a?
| a2 | |
| 24a | |
| 11 | |
| 11a |
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.
3a + 8a = 11a
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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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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the area of a parallelogram is base x height |
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).
Solve for x:
7x - 2 < \( \frac{x}{1} \)
| x < 3\(\frac{3}{7}\) | |
| x < -1\(\frac{5}{19}\) | |
| x < 1\(\frac{15}{17}\) | |
| x < \(\frac{1}{3}\) |
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 < sign and the answer on the other.
7x - 2 < \( \frac{x}{1} \)
1 x (7x - 2) < x
(1 x 7x) + (1 x -2) < x
7x - 2 < x
7x - 2 - x < 0
7x - x < 2
6x < 2
x < \( \frac{2}{6} \)
x < \(\frac{1}{3}\)
Simplify 4a x 7b.
| 28ab | |
| 28a2b2 | |
| 28\( \frac{a}{b} \) | |
| 28\( \frac{b}{a} \) |
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.
4a x 7b = (4 x 7) (a x b) = 28ab
If side a = 7, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{5} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{113} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 12
c2 = 49 + 1
c2 = 50
c = \( \sqrt{50} \)