| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.56 |
| Score | 0% | 51% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
right angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for x:
2x + 9 = \( \frac{x}{5} \)
| -5 | |
| -5\(\frac{1}{7}\) | |
| -\(\frac{4}{7}\) | |
| 1\(\frac{19}{23}\) |
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.
2x + 9 = \( \frac{x}{5} \)
5 x (2x + 9) = x
(5 x 2x) + (5 x 9) = x
10x + 45 = x
10x + 45 - x = 0
10x - x = -45
9x = -45
x = \( \frac{-45}{9} \)
x = -5
Solve -8b - b = -9b - 4x + 9 for b in terms of x.
| x + \(\frac{1}{4}\) | |
| 3\(\frac{2}{3}\)x + 1\(\frac{2}{3}\) | |
| 4x - 2\(\frac{1}{3}\) | |
| -3x + 9 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-8b - x = -9b - 4x + 9
-8b = -9b - 4x + 9 + x
-8b + 9b = -4x + 9 + x
b = -3x + 9
Find the value of a:
6a + y = -6
-9a - 8y = 5
| -15 | |
| -1\(\frac{11}{18}\) | |
| -\(\frac{7}{10}\) | |
| -1\(\frac{4}{39}\) |
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:
-9a - 8(-6 - 6a) = 5
-9a + (-8 x -6) + (-8 x -6a) = 5
-9a + 48 + 48a = 5
-9a + 48a = 5 - 48
39a = -43
a = \( \frac{-43}{39} \)
a = -1\(\frac{4}{39}\)
Simplify (3a)(4ab) + (2a2)(5b).
| 22a2b | |
| 2a2b | |
| -2ab2 | |
| -2a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(4ab) + (2a2)(5b)
(3 x 4)(a x a x b) + (2 x 5)(a2 x b)
(12)(a1+1 x b) + (10)(a2b)
12a2b + 10a2b
22a2b