| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Find the value of b:
-b + y = 2
5b + 9y = 7
| -1\(\frac{4}{65}\) | |
| -\(\frac{11}{14}\) | |
| \(\frac{1}{16}\) | |
| -\(\frac{13}{19}\) |
You need to find the value of b so solve the first equation in terms of y:
-b + y = 2
y = 2 + b
then substitute the result (2 - -1b) into the second equation:
5b + 9(2 + b) = 7
5b + (9 x 2) + (9 x b) = 7
5b + 18 + 9b = 7
5b + 9b = 7 - 18
14b = -11
b = \( \frac{-11}{14} \)
b = -\(\frac{11}{14}\)
A(n) __________ is two expressions separated by an equal sign.
equation |
|
expression |
|
problem |
|
formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
isosceles and right |
|
equilateral and right |
|
equilateral and isosceles |
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.
Simplify (5a)(3ab) - (7a2)(8b).
| 41ab2 | |
| 120a2b | |
| 71a2b | |
| -41a2b |
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)(3ab) - (7a2)(8b)
(5 x 3)(a x a x b) - (7 x 8)(a2 x b)
(15)(a1+1 x b) - (56)(a2b)
15a2b - 56a2b
-41a2b
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
supplementary, vertical |
|
obtuse, acute |
|
vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).