| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Simplify (7a)(7ab) + (2a2)(6b).
| -37ab2 | |
| 37a2b | |
| 61ab2 | |
| 61a2b |
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)(7ab) + (2a2)(6b)
(7 x 7)(a x a x b) + (2 x 6)(a2 x b)
(49)(a1+1 x b) + (12)(a2b)
49a2b + 12a2b
61a2b
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal length |
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parallel |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for y:
y2 - 8y + 16 = 0
| 1 or -1 | |
| -2 or -5 | |
| 4 | |
| -6 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 8y + 16 = 0
(y - 4)(y - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (y - 4) must equal zero:
If (y - 4) = 0, y must equal 4
So the solution is that y = 4
The dimensions of this trapezoid are a = 4, b = 6, c = 5, d = 4, and h = 2. What is the area?
| 17\(\frac{1}{2}\) | |
| 10 | |
| 18 | |
| 12 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 4)(2)
a = ½(10)(2)
a = ½(20) = \( \frac{20}{2} \)
a = 10
A(n) __________ is two expressions separated by an equal sign.
formula |
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problem |
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expression |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.