| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral, isosceles and right |
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equilateral and isosceles |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Simplify (6a)(2ab) + (2a2)(6b).
| 64a2b | |
| 24a2b | |
| b2 | |
| 24ab2 |
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.
(6a)(2ab) + (2a2)(6b)
(6 x 2)(a x a x b) + (2 x 6)(a2 x b)
(12)(a1+1 x b) + (12)(a2b)
12a2b + 12a2b
24a2b
Solve for z:
z2 + 11z + 9 = 4z - 1
| -1 or -7 | |
| 1 or -3 | |
| -2 or -5 | |
| -7 or -8 |
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 + 11z + 9 = 4z - 1
z2 + 11z + 9 + 1 = 4z
z2 + 11z - 4z + 10 = 0
z2 + 7z + 10 = 0
Next, factor the quadratic equation:
z2 + 7z + 10 = 0
(z + 2)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z + 5) must equal zero:
If (z + 2) = 0, z must equal -2
If (z + 5) = 0, z must equal -5
So the solution is that z = -2 or -5
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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squaring |
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normalizing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.