| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
If a = 3 and y = -5, what is the value of -6a(a - y)?
| -312 | |
| 0 | |
| -144 | |
| -156 |
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.)
-6a(a - y)
-6(3)(3 + 5)
-6(3)(8)
(-18)(8)
-144
On this circle, line segment AB is the:
diameter |
|
radius |
|
chord |
|
circumference |
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).
Solve for z:
z2 - z - 12 = -4z - 2
| 2 or -5 | |
| 1 or -8 | |
| 4 or -9 | |
| 9 or 6 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 - z - 12 = -4z - 2
z2 - z - 12 + 2 = -4z
z2 - z + 4z - 10 = 0
z2 + 3z - 10 = 0
Next, factor the quadratic equation:
z2 + 3z - 10 = 0
(z - 2)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 5) must equal zero:
If (z - 2) = 0, z must equal 2
If (z + 5) = 0, z must equal -5
So the solution is that z = 2 or -5
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
What is 8a + 2a?
| 10 | |
| 16a2 | |
| 10a2 | |
| 10a |
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.
8a + 2a = 10a