| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Solve for x:
x2 - 5x - 32 = -3x + 3
| 3 or 1 | |
| -2 or -6 | |
| 7 or -3 | |
| -5 or 7 |
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:
x2 - 5x - 32 = -3x + 3
x2 - 5x - 32 - 3 = -3x
x2 - 5x + 3x - 35 = 0
x2 - 2x - 35 = 0
Next, factor the quadratic equation:
x2 - 2x - 35 = 0
(x + 5)(x - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 5) or (x - 7) must equal zero:
If (x + 5) = 0, x must equal -5
If (x - 7) = 0, x must equal 7
So the solution is that x = -5 or 7
The dimensions of this cube are height (h) = 1, length (l) = 4, and width (w) = 9. What is the volume?
| 105 | |
| 216 | |
| 50 | |
| 36 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 4 x 9
v = 36
Solve for c:
c2 - 15c + 54 = 0
| 8 or -9 | |
| 6 or -9 | |
| 8 or -7 | |
| 6 or 9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 15c + 54 = 0
(c - 6)(c - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 6) or (c - 9) must equal zero:
If (c - 6) = 0, c must equal 6
If (c - 9) = 0, c must equal 9
So the solution is that c = 6 or 9
What is 2a7 - 3a7?
| -1a7 | |
| 6a14 | |
| -1 | |
| a714 |
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.
2a7 - 3a7 = -1a7
The formula for the area of a circle is which of the following?
a = π d |
|
a = π r |
|
a = π d2 |
|
a = 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.