| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
If a = c = 2, b = d = 5, what is the area of this rectangle?
| 36 | |
| 2 | |
| 10 | |
| 63 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 5
a = 10
Solve for a:
a2 - 7a - 19 = -4a - 1
| 7 or 6 | |
| 5 or -1 | |
| -3 or 6 | |
| 2 or -3 |
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:
a2 - 7a - 19 = -4a - 1
a2 - 7a - 19 + 1 = -4a
a2 - 7a + 4a - 18 = 0
a2 - 3a - 18 = 0
Next, factor the quadratic equation:
a2 - 3a - 18 = 0
(a + 3)(a - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 6) must equal zero:
If (a + 3) = 0, a must equal -3
If (a - 6) = 0, a must equal 6
So the solution is that a = -3 or 6
What is the circumference of a circle with a radius of 18?
| 18π | |
| 8π | |
| 7π | |
| 36π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 18)
c = 36π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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exponents |
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division |
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addition |
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.)
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).