| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
Solve for x:
7x + 1 > \( \frac{x}{-1} \)
| x > -\(\frac{16}{23}\) | |
| x > -1\(\frac{1}{13}\) | |
| x > -\(\frac{1}{8}\) | |
| x > 1\(\frac{1}{7}\) |
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 > sign and the answer on the other.
7x + 1 > \( \frac{x}{-1} \)
-1 x (7x + 1) > x
(-1 x 7x) + (-1 x 1) > x
-7x - 1 > x
-7x - 1 - x > 0
-7x - x > 1
-8x > 1
x > \( \frac{1}{-8} \)
x > -\(\frac{1}{8}\)
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, obtuse, acute |
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right, acute, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
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the area is length x width |
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the lengths of all sides are equal |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Simplify (3a)(4ab) - (5a2)(9b).
| 57ab2 | |
| 98a2b | |
| -33a2b | |
| 98ab2 |
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.
(3a)(4ab) - (5a2)(9b)
(3 x 4)(a x a x b) - (5 x 9)(a2 x b)
(12)(a1+1 x b) - (45)(a2b)
12a2b - 45a2b
-33a2b
What is the area of a circle with a diameter of 10?
| 6π | |
| 81π | |
| 4π | |
| 25π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π