| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
trapezoid |
|
triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If a = -3 and x = -2, what is the value of -8a(a - x)?
| 8 | |
| 0 | |
| -25 | |
| -24 |
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.)
-8a(a - x)
-8(-3)(-3 + 2)
-8(-3)(-1)
(24)(-1)
-24
Solve for b:
-2b - 8 > \( \frac{b}{3} \)
| b > -1\(\frac{8}{37}\) | |
| b > -\(\frac{5}{19}\) | |
| b > -3\(\frac{13}{17}\) | |
| b > -3\(\frac{3}{7}\) |
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.
-2b - 8 > \( \frac{b}{3} \)
3 x (-2b - 8) > b
(3 x -2b) + (3 x -8) > b
-6b - 24 > b
-6b - 24 - b > 0
-6b - b > 24
-7b > 24
b > \( \frac{24}{-7} \)
b > -3\(\frac{3}{7}\)
What is 7a + 3a?
| a2 | |
| 4a2 | |
| 10a2 | |
| 10a |
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.
7a + 3a = 10a
Solve for x:
3x - 5 < -3 + 2x
| x < -\(\frac{1}{9}\) | |
| x < 2 | |
| x < \(\frac{1}{2}\) | |
| x < 1\(\frac{1}{7}\) |
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.
3x - 5 < -3 + 2x
3x < -3 + 2x + 5
3x - 2x < -3 + 5
x < 2