| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
If side x = 10cm, side y = 7cm, and side z = 9cm what is the perimeter of this triangle?
| 31cm | |
| 26cm | |
| 23cm | |
| 27cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 7cm + 9cm = 26cm
What is 7a - 7a?
| 49a | |
| 49a2 | |
| a2 | |
| 0a |
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.
7a - 7a = 0a
Simplify (3a)(9ab) + (6a2)(2b).
| 39ab2 | |
| 15ab2 | |
| 39a2b | |
| -15a2b |
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)(9ab) + (6a2)(2b)
(3 x 9)(a x a x b) + (6 x 2)(a2 x b)
(27)(a1+1 x b) + (12)(a2b)
27a2b + 12a2b
39a2b
Solve for y:
3y + 1 = -1 + 2y
| \(\frac{1}{2}\) | |
| -2 | |
| \(\frac{3}{4}\) | |
| -9 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
3y + 1 = -1 + 2y
3y = -1 + 2y - 1
3y - 2y = -1 - 1
y = -2
Simplify (5a)(4ab) - (2a2)(6b).
| 8a2b | |
| -8ab2 | |
| 32ab2 | |
| 72ab2 |
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.
(5a)(4ab) - (2a2)(6b)
(5 x 4)(a x a x b) - (2 x 6)(a2 x b)
(20)(a1+1 x b) - (12)(a2b)
20a2b - 12a2b
8a2b