| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
If side x = 7cm, side y = 5cm, and side z = 5cm what is the perimeter of this triangle?
| 17cm | |
| 37cm | |
| 30cm | |
| 35cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 5cm + 5cm = 17cm
Simplify (9a)(9ab) + (8a2)(4b).
| 216ab2 | |
| 113a2b | |
| 216a2b | |
| 113ab2 |
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.
(9a)(9ab) + (8a2)(4b)
(9 x 9)(a x a x b) + (8 x 4)(a2 x b)
(81)(a1+1 x b) + (32)(a2b)
81a2b + 32a2b
113a2b
What is 9a - 5a?
| 4a | |
| 45a2 | |
| 14a2 | |
| 4a2 |
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.
9a - 5a = 4a
Solve for c:
8c - 8 < \( \frac{c}{4} \)
| c < 1\(\frac{1}{31}\) | |
| c < \(\frac{49}{55}\) | |
| c < 5\(\frac{1}{7}\) | |
| c < 1\(\frac{1}{4}\) |
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 < sign and the answer on the other.
8c - 8 < \( \frac{c}{4} \)
4 x (8c - 8) < c
(4 x 8c) + (4 x -8) < c
32c - 32 < c
32c - 32 - c < 0
32c - c < 32
31c < 32
c < \( \frac{32}{31} \)
c < 1\(\frac{1}{31}\)
If a = 4, b = 4, c = 9, and d = 7, what is the perimeter of this quadrilateral?
| 15 | |
| 24 | |
| 14 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 4 + 9 + 7
p = 24