| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Solve for x:
x2 + 5x - 3 = 3x + 5
| 8 or 8 | |
| 8 or -9 | |
| 2 or -4 | |
| -7 or -7 |
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:
x2 + 5x - 3 = 3x + 5
x2 + 5x - 3 - 5 = 3x
x2 + 5x - 3x - 8 = 0
x2 + 2x - 8 = 0
Next, factor the quadratic equation:
x2 + 2x - 8 = 0
(x - 2)(x + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 4) must equal zero:
If (x - 2) = 0, x must equal 2
If (x + 4) = 0, x must equal -4
So the solution is that x = 2 or -4
A right angle measures:
360° |
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180° |
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90° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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rhombus |
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quadrilateral |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this cube are height (h) = 4, length (l) = 4, and width (w) = 2. What is the surface area?
| 314 | |
| 486 | |
| 64 | |
| 124 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 2) + (2 x 2 x 4) + (2 x 4 x 4)
sa = (16) + (16) + (32)
sa = 64
Simplify (3a)(2ab) + (8a2)(3b).
| 30a2b | |
| -18ab2 | |
| 18a2b | |
| 55ab2 |
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.
(3a)(2ab) + (8a2)(3b)
(3 x 2)(a x a x b) + (8 x 3)(a2 x b)
(6)(a1+1 x b) + (24)(a2b)
6a2b + 24a2b
30a2b