| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
If c = -1 and x = 1, what is the value of -2c(c - x)?
| -4 | |
| -30 | |
| 182 | |
| -96 |
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.)
-2c(c - x)
-2(-1)(-1 - 1)
-2(-1)(-2)
(2)(-2)
-4
Solve for z:
z2 - 5z + 6 = 5z - 3
| 6 or -8 | |
| 7 or 3 | |
| -2 or -3 | |
| 1 or 9 |
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:
z2 - 5z + 6 = 5z - 3
z2 - 5z + 6 + 3 = 5z
z2 - 5z - 5z + 9 = 0
z2 - 10z + 9 = 0
Next, factor the quadratic equation:
z2 - 10z + 9 = 0
(z - 1)(z - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z - 9) must equal zero:
If (z - 1) = 0, z must equal 1
If (z - 9) = 0, z must equal 9
So the solution is that z = 1 or 9
What is 6a7 + 3a7?
| 9 | |
| 9a7 | |
| 18a7 | |
| 3 |
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.
6a7 + 3a7 = 9a7
If a = c = 8, b = d = 1, and the blue angle = 60°, what is the area of this parallelogram?
| 27 | |
| 14 | |
| 12 | |
| 8 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 1
a = 8
What is 8a + 4a?
| 4a2 | |
| 4 | |
| 32a | |
| 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.
8a + 4a = 12a