| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
What is 6a5 - 7a5?
| 13a10 | |
| -1a5 | |
| 13 | |
| -1 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a5 - 7a5 = -1a5
The dimensions of this cube are height (h) = 3, length (l) = 2, and width (w) = 7. What is the surface area?
| 82 | |
| 88 | |
| 144 | |
| 110 |
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 2 x 7) + (2 x 7 x 3) + (2 x 2 x 3)
sa = (28) + (42) + (12)
sa = 82
If c = 7 and z = 3, what is the value of -2c(c - z)?
| -56 | |
| -32 | |
| -4 | |
| -189 |
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.)
-2c(c - z)
-2(7)(7 - 3)
-2(7)(4)
(-14)(4)
-56
Simplify (8a)(4ab) + (5a2)(5b).
| 7ab2 | |
| 120ab2 | |
| 7a2b | |
| 57a2b |
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.
(8a)(4ab) + (5a2)(5b)
(8 x 4)(a x a x b) + (5 x 5)(a2 x b)
(32)(a1+1 x b) + (25)(a2b)
32a2b + 25a2b
57a2b
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
supplementary, vertical |
|
acute, obtuse |
|
obtuse, acute |
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).