| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Find the value of c:
4c + x = -3
-6c + 3x = -6
| -\(\frac{5}{9}\) | |
| -\(\frac{1}{6}\) | |
| -\(\frac{1}{4}\) | |
| -4\(\frac{1}{7}\) |
You need to find the value of c so solve the first equation in terms of x:
4c + x = -3
x = -3 - 4c
then substitute the result (-3 - 4c) into the second equation:
-6c + 3(-3 - 4c) = -6
-6c + (3 x -3) + (3 x -4c) = -6
-6c - 9 - 12c = -6
-6c - 12c = -6 + 9
-18c = 3
c = \( \frac{3}{-18} \)
c = -\(\frac{1}{6}\)
The dimensions of this cube are height (h) = 6, length (l) = 1, and width (w) = 4. What is the volume?
| 224 | |
| 315 | |
| 200 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 1 x 4
v = 24
Simplify (y - 7)(y + 2)
| y2 + 9y + 14 | |
| y2 - 9y + 14 | |
| y2 - 5y - 14 | |
| y2 + 5y - 14 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 7)(y + 2)
(y x y) + (y x 2) + (-7 x y) + (-7 x 2)
y2 + 2y - 7y - 14
y2 - 5y - 14
On this circle, a line segment connecting point A to point D is called:
chord |
|
circumference |
|
diameter |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Simplify (8a)(9ab) - (9a2)(8b).
| b2 | |
| 289a2b | |
| 0a2b | |
| 144ab2 |
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)(9ab) - (9a2)(8b)
(8 x 9)(a x a x b) - (9 x 8)(a2 x b)
(72)(a1+1 x b) - (72)(a2b)
72a2b - 72a2b
0a2b