| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
Solve for c:
3c - 9 = 7 - 5c
| 2 | |
| -1\(\frac{1}{2}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{1}{3}\) |
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 equal sign and the answer on the other.
3c - 9 = 7 - 5c
3c = 7 - 5c + 9
3c + 5c = 7 + 9
8c = 16
c = \( \frac{16}{8} \)
c = 2
If b = 6 and y = 3, what is the value of 8b(b - y)?
| -945 | |
| -56 | |
| 144 | |
| -150 |
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 - y)
8(6)(6 - 3)
8(6)(3)
(48)(3)
144
A coordinate grid is composed of which of the following?
all of these |
|
origin |
|
y-axis |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 4. What is the volume?
| 168 | |
| 30 | |
| 256 | |
| 72 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 9 x 4
v = 72
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
|
the area is length x width |
|
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).