| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.78 |
| Score | 0% | 76% |
What is 6a7 + 9a7?
| 15a7 | |
| 15 | |
| -3 | |
| 54a14 |
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.
6a7 + 9a7 = 15a7
If b = -1 and y = 1, what is the value of -7b(b - y)?
| 0 | |
| -54 | |
| -210 | |
| -14 |
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.)
-7b(b - y)
-7(-1)(-1 - 1)
-7(-1)(-2)
(7)(-2)
-14
If a = 4, b = 9, c = 5, and d = 2, what is the perimeter of this quadrilateral?
| 20 | |
| 21 | |
| 14 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 9 + 5 + 2
p = 20
Simplify (3a)(6ab) + (2a2)(7b).
| 32a2b | |
| -4a2b | |
| 4a2b | |
| 81a2b |
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)(6ab) + (2a2)(7b)
(3 x 6)(a x a x b) + (2 x 7)(a2 x b)
(18)(a1+1 x b) + (14)(a2b)
18a2b + 14a2b
32a2b
If side x = 15cm, side y = 6cm, and side z = 9cm what is the perimeter of this triangle?
| 29cm | |
| 38cm | |
| 30cm | |
| 23cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 6cm + 9cm = 30cm