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|---|---|---|
| Questions | 5 | 5 |
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Find the value of b:
8b + x = -4
-6b - 6x = -6
| -2\(\frac{7}{29}\) | |
| -14\(\frac{1}{3}\) | |
| -\(\frac{5}{7}\) | |
| -\(\frac{4}{5}\) |
You need to find the value of b so solve the first equation in terms of x:
8b + x = -4
x = -4 - 8b
then substitute the result (-4 - 8b) into the second equation:
-6b - 6(-4 - 8b) = -6
-6b + (-6 x -4) + (-6 x -8b) = -6
-6b + 24 + 48b = -6
-6b + 48b = -6 - 24
42b = -30
b = \( \frac{-30}{42} \)
b = -\(\frac{5}{7}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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quadrilateral |
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trapezoid |
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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.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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supplementary, vertical |
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obtuse, acute |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, right, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Simplify (4a)(4ab) - (6a2)(5b).
| 88a2b | |
| -14a2b | |
| 14ab2 | |
| 46ab2 |
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.
(4a)(4ab) - (6a2)(5b)
(4 x 4)(a x a x b) - (6 x 5)(a2 x b)
(16)(a1+1 x b) - (30)(a2b)
16a2b - 30a2b
-14a2b