| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A quadrilateral is a shape with __________ sides.
5 |
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4 |
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3 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
What is 4a - 6a?
| 10a2 | |
| -2a | |
| -2a2 | |
| 10 |
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
The dimensions of this cube are height (h) = 9, length (l) = 5, and width (w) = 5. What is the surface area?
| 292 | |
| 230 | |
| 212 | |
| 306 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 5) + (2 x 5 x 9) + (2 x 5 x 9)
sa = (50) + (90) + (90)
sa = 230
Solve -5a - 8a = -8a - 8z + 5 for a in terms of z.
| 2z - \(\frac{3}{5}\) | |
| \(\frac{2}{9}\)z - \(\frac{2}{9}\) | |
| z + 1\(\frac{2}{3}\) | |
| \(\frac{2}{3}\)z + 3 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-5a - 8z = -8a - 8z + 5
-5a = -8a - 8z + 5 + 8z
-5a + 8a = -8z + 5 + 8z
3a = + 5
a = \( \frac{ + 5}{3} \)
a = \( \frac{}{3} \) + \( \frac{5}{3} \)
a = z + 1\(\frac{2}{3}\)
If a = -1 and y = -6, what is the value of -7a(a - y)?
| -260 | |
| 35 | |
| -112 | |
| -891 |
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.)
-7a(a - y)
-7(-1)(-1 + 6)
-7(-1)(5)
(7)(5)
35