| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
A quadrilateral is a shape with __________ sides.
4 |
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5 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = 5 and y = -3, what is the value of 3a(a - y)?
| -27 | |
| 21 | |
| 120 | |
| 0 |
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.)
3a(a - y)
3(5)(5 + 3)
3(5)(8)
(15)(8)
120
Solve for a:
8a - 2 > 2 + 9a
| a > -4 | |
| a > -\(\frac{3}{5}\) | |
| a > \(\frac{1}{2}\) | |
| a > -\(\frac{1}{3}\) |
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.
8a - 2 > 2 + 9a
8a > 2 + 9a + 2
8a - 9a > 2 + 2
-a > 4
a > \( \frac{4}{-1} \)
a > -4
Solve for z:
7z - 9 < \( \frac{z}{-8} \)
| z < 1\(\frac{5}{19}\) | |
| z < -\(\frac{25}{26}\) | |
| z < \(\frac{16}{17}\) | |
| z < -\(\frac{8}{11}\) |
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.
7z - 9 < \( \frac{z}{-8} \)
-8 x (7z - 9) < z
(-8 x 7z) + (-8 x -9) < z
-56z + 72 < z
-56z + 72 - z < 0
-56z - z < -72
-57z < -72
z < \( \frac{-72}{-57} \)
z < 1\(\frac{5}{19}\)
Simplify (8a)(9ab) + (4a2)(4b).
| -56a2b | |
| 88a2b | |
| 136a2b | |
| -56ab2 |
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.
(8a)(9ab) + (4a2)(4b)
(8 x 9)(a x a x b) + (4 x 4)(a2 x b)
(72)(a1+1 x b) + (16)(a2b)
72a2b + 16a2b
88a2b