| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
A coordinate grid is composed of which of the following?
y-axis |
|
x-axis |
|
origin |
|
all of these |
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.
Solve for c:
4c + 5 = 2 + c
| \(\frac{8}{9}\) | |
| -1 | |
| -2 | |
| -9 |
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.
4c + 5 = 2 + c
4c = 2 + c - 5
4c - c = 2 - 5
3c = -3
c = \( \frac{-3}{3} \)
c = -1
If a = c = 3, b = d = 4, and the blue angle = 75°, what is the area of this parallelogram?
| 27 | |
| 12 | |
| 6 | |
| 72 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12
Solve for z:
z2 + 8z - 9 = 0
| 3 or 3 | |
| 1 or -9 | |
| 8 or -7 | |
| 4 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 8z - 9 = 0
(z - 1)(z + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z + 9) must equal zero:
If (z - 1) = 0, z must equal 1
If (z + 9) = 0, z must equal -9
So the solution is that z = 1 or -9
What is 5a - 9a?
| 14a2 | |
| a2 | |
| -4 | |
| -4a |
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.
5a - 9a = -4a