| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
right angle |
|
equal angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
If b = -2 and z = -1, what is the value of -4b(b - z)?
| 72 | |
| -32 | |
| 30 | |
| -8 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-4b(b - z)
-4(-2)(-2 + 1)
-4(-2)(-1)
(8)(-1)
-8
Solve for y:
6y + 8 = \( \frac{y}{3} \)
| -\(\frac{10}{13}\) | |
| -1\(\frac{7}{17}\) | |
| \(\frac{4}{25}\) | |
| -1\(\frac{4}{23}\) |
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.
6y + 8 = \( \frac{y}{3} \)
3 x (6y + 8) = y
(3 x 6y) + (3 x 8) = y
18y + 24 = y
18y + 24 - y = 0
18y - y = -24
17y = -24
y = \( \frac{-24}{17} \)
y = -1\(\frac{7}{17}\)
Simplify 2a x 2b.
| 4ab | |
| 4\( \frac{b}{a} \) | |
| 4a2b2 | |
| 4\( \frac{a}{b} \) |
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.
2a x 2b = (2 x 2) (a x b) = 4ab
What is 3a3 - 4a3?
| -1a3 | |
| 7 | |
| -a6 | |
| 12a3 |
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.
3a3 - 4a3 = -1a3