| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
What is 4a - 4a?
| a2 | |
| 8 | |
| 0a | |
| 0 |
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.
4a - 4a = 0a
A right angle measures:
45° |
|
90° |
|
180° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for b:
2b - 5 < \( \frac{b}{-7} \)
| b < 2\(\frac{1}{3}\) | |
| b < -\(\frac{6}{7}\) | |
| b < \(\frac{27}{53}\) | |
| b < \(\frac{7}{32}\) |
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.
2b - 5 < \( \frac{b}{-7} \)
-7 x (2b - 5) < b
(-7 x 2b) + (-7 x -5) < b
-14b + 35 < b
-14b + 35 - b < 0
-14b - b < -35
-15b < -35
b < \( \frac{-35}{-15} \)
b < 2\(\frac{1}{3}\)
Find the value of a:
-6a + y = 6
3a - 2y = -8
| 2\(\frac{1}{11}\) | |
| -\(\frac{39}{71}\) | |
| \(\frac{11}{56}\) | |
| -\(\frac{4}{9}\) |
You need to find the value of a so solve the first equation in terms of y:
-6a + y = 6
y = 6 + 6a
then substitute the result (6 - -6a) into the second equation:
3a - 2(6 + 6a) = -8
3a + (-2 x 6) + (-2 x 6a) = -8
3a - 12 - 12a = -8
3a - 12a = -8 + 12
-9a = 4
a = \( \frac{4}{-9} \)
a = -\(\frac{4}{9}\)
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
deconstructing |
|
normalizing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.