| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
A coordinate grid is composed of which of the following?
all of these |
|
x-axis |
|
y-axis |
|
origin |
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 b:
9b - 2 < \( \frac{b}{-6} \)
| b < \(\frac{12}{55}\) | |
| b < 7 | |
| b < -\(\frac{7}{11}\) | |
| b < -\(\frac{1}{5}\) |
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 < sign and the answer on the other.
9b - 2 < \( \frac{b}{-6} \)
-6 x (9b - 2) < b
(-6 x 9b) + (-6 x -2) < b
-54b + 12 < b
-54b + 12 - b < 0
-54b - b < -12
-55b < -12
b < \( \frac{-12}{-55} \)
b < \(\frac{12}{55}\)
What is 5a6 - 6a6?
| 11 | |
| -1a6 | |
| 30a12 | |
| a612 |
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.
5a6 - 6a6 = -1a6
Which of the following expressions contains exactly two terms?
monomial |
|
polynomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for a:
a2 - 4a - 21 = 0
| 7 or -2 | |
| 1 or -2 | |
| -5 or -9 | |
| -3 or 7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 4a - 21 = 0
(a + 3)(a - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 7) must equal zero:
If (a + 3) = 0, a must equal -3
If (a - 7) = 0, a must equal 7
So the solution is that a = -3 or 7