| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
Simplify (3a)(4ab) - (8a2)(7b).
| -44a2b | |
| 105a2b | |
| 105ab2 | |
| 44ab2 |
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)(4ab) - (8a2)(7b)
(3 x 4)(a x a x b) - (8 x 7)(a2 x b)
(12)(a1+1 x b) - (56)(a2b)
12a2b - 56a2b
-44a2b
Simplify (4a)(8ab) + (5a2)(8b).
| 72a2b | |
| 72ab2 | |
| 156a2b | |
| -8a2b |
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)(8ab) + (5a2)(8b)
(4 x 8)(a x a x b) + (5 x 8)(a2 x b)
(32)(a1+1 x b) + (40)(a2b)
32a2b + 40a2b
72a2b
If b = 6 and z = 4, what is the value of 8b(b - z)?
| 168 | |
| 96 | |
| 60 | |
| -120 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
8b(b - z)
8(6)(6 - 4)
8(6)(2)
(48)(2)
96
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r |
|
c = π r2 |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
|
equilateral and isosceles |
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isosceles and right |
|
equilateral, 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.