| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
If a = c = 1, b = d = 2, what is the area of this rectangle?
| 28 | |
| 25 | |
| 36 | |
| 2 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
If angle a = 41° and angle b = 56° what is the length of angle d?
| 139° | |
| 148° | |
| 154° | |
| 110° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 41° - 56° = 83°
So, d° = 56° + 83° = 139°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 41° = 139°
A(n) __________ is two expressions separated by an equal sign.
expression |
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equation |
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formula |
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problem |
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.
What is 4a + 8a?
| 32a2 | |
| -4 | |
| 12a2 | |
| 12a |
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 + 8a = 12a
Solve for z:
z2 + 5z - 14 = 0
| 1 or -8 | |
| 2 or -7 | |
| 2 or -9 | |
| 2 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 5z - 14 = 0
(z - 2)(z + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 7) must equal zero:
If (z - 2) = 0, z must equal 2
If (z + 7) = 0, z must equal -7
So the solution is that z = 2 or -7