| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Simplify 7a x 3b.
| 21ab | |
| 21a2b2 | |
| 21\( \frac{b}{a} \) | |
| 10ab |
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.
7a x 3b = (7 x 3) (a x b) = 21ab
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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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.
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for z:
z2 + 14z + 59 = -z + 5
| -3 or -4 | |
| 6 or 2 | |
| 4 or 2 | |
| -6 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 + 14z + 59 = -z + 5
z2 + 14z + 59 - 5 = -z
z2 + 14z + z + 54 = 0
z2 + 15z + 54 = 0
Next, factor the quadratic equation:
z2 + 15z + 54 = 0
(z + 6)(z + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 6) or (z + 9) must equal zero:
If (z + 6) = 0, z must equal -6
If (z + 9) = 0, z must equal -9
So the solution is that z = -6 or -9
What is 5a - 4a?
| 1 | |
| a2 | |
| 9 | |
| 1a |
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.
5a - 4a = 1a