Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.09 |
Score | 0% | 62% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
equal length |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
On this circle, line segment AB is the:
chord |
|
radius |
|
diameter |
|
circumference |
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).
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
exponents |
|
pairs |
|
division |
When solving an equation with two variables, 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.)
Solve for x:
x2 + 13x - 13 = 5x - 4
8 or -2 | |
1 or -9 | |
6 or -1 | |
4 or -6 |
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:
x2 + 13x - 13 = 5x - 4
x2 + 13x - 13 + 4 = 5x
x2 + 13x - 5x - 9 = 0
x2 + 8x - 9 = 0
Next, factor the quadratic equation:
x2 + 8x - 9 = 0
(x - 1)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x + 9) must equal zero:
If (x - 1) = 0, x must equal 1
If (x + 9) = 0, x must equal -9
So the solution is that x = 1 or -9
The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
|
c = π d |
|
c = 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.