| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Find the value of b:
-3b + y = 3
3b - 9y = 6
| -1\(\frac{3}{8}\) | |
| -1\(\frac{14}{41}\) | |
| -1\(\frac{3}{4}\) | |
| 6\(\frac{1}{2}\) |
You need to find the value of b so solve the first equation in terms of y:
-3b + y = 3
y = 3 + 3b
then substitute the result (3 - -3b) into the second equation:
3b - 9(3 + 3b) = 6
3b + (-9 x 3) + (-9 x 3b) = 6
3b - 27 - 27b = 6
3b - 27b = 6 + 27
-24b = 33
b = \( \frac{33}{-24} \)
b = -1\(\frac{3}{8}\)
The dimensions of this cylinder are height (h) = 4 and radius (r) = 3. What is the volume?
| 192π | |
| 36π | |
| 28π | |
| 320π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 4)
v = 36π
What is 4a - 7a?
| -3a | |
| 11a2 | |
| 11 | |
| 28a2 |
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.
4a - 7a = -3a
Which of the following is not true about both rectangles and squares?
the area is length x width |
|
all interior angles are right angles |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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 (5a)(4ab) + (7a2)(6b).
| -22a2b | |
| 62a2b | |
| 117ab2 | |
| -22ab2 |
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.
(5a)(4ab) + (7a2)(6b)
(5 x 4)(a x a x b) + (7 x 6)(a2 x b)
(20)(a1+1 x b) + (42)(a2b)
20a2b + 42a2b
62a2b