| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
Find the value of a:
6a + y = 6
-2a + 5y = 9
| -\(\frac{29}{68}\) | |
| 2\(\frac{8}{17}\) | |
| \(\frac{21}{32}\) | |
| 1\(\frac{3}{13}\) |
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:
-2a + 5(6 - 6a) = 9
-2a + (5 x 6) + (5 x -6a) = 9
-2a + 30 - 30a = 9
-2a - 30a = 9 - 30
-32a = -21
a = \( \frac{-21}{-32} \)
a = \(\frac{21}{32}\)
What is 4a5 + 9a5?
| 13a10 | |
| -5 | |
| 13a5 | |
| 36a10 |
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.
4a5 + 9a5 = 13a5
Which of the following expressions contains exactly two terms?
quadratic |
|
monomial |
|
binomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is 4a - 6a?
| a2 | |
| -2 | |
| 10 | |
| -2a |
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 - 6a = -2a
A right angle measures:
180° |
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360° |
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90° |
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45° |
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.