Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 2.92 |
Score | 0% | 58% |
Solve for x:
x + 3 = -9 + 3x
-\(\frac{2}{7}\) | |
6 | |
-6 | |
\(\frac{1}{7}\) |
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 equal sign and the answer on the other.
x + 3 = -9 + 3x
x = -9 + 3x - 3
x - 3x = -9 - 3
-2x = -12
x = \( \frac{-12}{-2} \)
x = 6
What is the area of a circle with a diameter of 8?
9π | |
16π | |
8π | |
81π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
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 |
|
lw x wh + lh |
|
h2 x l2 x w2 |
|
h x l x w |
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.
The formula for the area of a circle is which of the following?
c = π r |
|
c = π d2 |
|
c = π d |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If c = -8 and z = 3, what is the value of -8c(c - z)?
-891 | |
-704 | |
-136 | |
160 |
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.)
-8c(c - z)
-8(-8)(-8 - 3)
-8(-8)(-11)
(64)(-11)
-704