| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
Find the value of c:
-3c + z = 9
-7c + 9z = 3
| -\(\frac{1}{14}\) | |
| \(\frac{23}{50}\) | |
| 1\(\frac{37}{38}\) | |
| -3\(\frac{9}{10}\) |
You need to find the value of c so solve the first equation in terms of z:
-3c + z = 9
z = 9 + 3c
then substitute the result (9 - -3c) into the second equation:
-7c + 9(9 + 3c) = 3
-7c + (9 x 9) + (9 x 3c) = 3
-7c + 81 + 27c = 3
-7c + 27c = 3 - 81
20c = -78
c = \( \frac{-78}{20} \)
c = -3\(\frac{9}{10}\)
The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 6. What is the volume?
| 72 | |
| 24 | |
| 2 | |
| 112 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 2 x 6
v = 72
A(n) __________ is two expressions separated by an equal sign.
expression |
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problem |
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formula |
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equation |
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 the circumference of a circle with a diameter of 5?
| 30π | |
| 5π | |
| 16π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 5π
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Last |
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Odd |
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First |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.