| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
If side x = 10cm, side y = 8cm, and side z = 10cm what is the perimeter of this triangle?
| 39cm | |
| 29cm | |
| 28cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 8cm + 10cm = 28cm
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
quadratic |
|
monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Simplify (5a)(4ab) - (2a2)(2b).
| 24ab2 | |
| 36ab2 | |
| -16ab2 | |
| 16a2b |
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)(2b)
(5 x 4)(a x a x b) - (2 x 2)(a2 x b)
(20)(a1+1 x b) - (4)(a2b)
20a2b - 4a2b
16a2b
The formula for the area of a circle is which of the following?
a = π r |
|
a = π r2 |
|
a = π d |
|
a = 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.
Solve for a:
a2 - 20a + 51 = -5a - 3
| 1 or -5 | |
| 5 or 1 | |
| 8 or -5 | |
| 6 or 9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 - 20a + 51 = -5a - 3
a2 - 20a + 51 + 3 = -5a
a2 - 20a + 5a + 54 = 0
a2 - 15a + 54 = 0
Next, factor the quadratic equation:
a2 - 15a + 54 = 0
(a - 6)(a - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 6) or (a - 9) must equal zero:
If (a - 6) = 0, a must equal 6
If (a - 9) = 0, a must equal 9
So the solution is that a = 6 or 9