| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Find the value of a:
-2a + y = 1
-5a + 9y = -4
| -3\(\frac{7}{13}\) | |
| -1 | |
| -\(\frac{29}{35}\) | |
| -\(\frac{8}{69}\) |
You need to find the value of a so solve the first equation in terms of y:
-2a + y = 1
y = 1 + 2a
then substitute the result (1 - -2a) into the second equation:
-5a + 9(1 + 2a) = -4
-5a + (9 x 1) + (9 x 2a) = -4
-5a + 9 + 18a = -4
-5a + 18a = -4 - 9
13a = -13
a = \( \frac{-13}{13} \)
a = -1
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
|
equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
addition |
|
division |
|
pairs |
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.)
What is 4a - 3a?
| 7 | |
| 1 | |
| 12a | |
| 1a |
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.
4a - 3a = 1a
On this circle, a line segment connecting point A to point D is called:
circumference |
|
chord |
|
diameter |
|
radius |
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).