| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
If side x = 11cm, side y = 11cm, and side z = 13cm what is the perimeter of this triangle?
| 31cm | |
| 35cm | |
| 21cm | |
| 28cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 11cm + 13cm = 35cm
What is 5a9 + 4a9?
| 20a9 | |
| 9a9 | |
| 20a18 | |
| a18 |
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.
5a9 + 4a9 = 9a9
If c = 8 and z = 7, what is the value of 5c(c - z)?
| 0 | |
| 144 | |
| 40 | |
| -10 |
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.)
5c(c - z)
5(8)(8 - 7)
5(8)(1)
(40)(1)
40
Simplify (6a)(3ab) - (4a2)(6b).
| 42ab2 | |
| 90a2b | |
| 6ab2 | |
| -6a2b |
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.
(6a)(3ab) - (4a2)(6b)
(6 x 3)(a x a x b) - (4 x 6)(a2 x b)
(18)(a1+1 x b) - (24)(a2b)
18a2b - 24a2b
-6a2b
On this circle, line segment AB is the:
circumference |
|
radius |
|
diameter |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).