| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
What is 4a7 - 8a7?
| 12 | |
| 32a14 | |
| -4a14 | |
| -4a7 |
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.
4a7 - 8a7 = -4a7
On this circle, line segment AB is the:
diameter |
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radius |
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chord |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for b:
b2 - 26 = -b + 4
| 8 or 5 | |
| 4 or -3 | |
| 5 or -6 | |
| 1 or -4 |
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:
b2 - 26 = -b + 4
b2 - 26 - 4 = -b
b2 + + b - 30 = 0
b2 + b - 30 = 0
Next, factor the quadratic equation:
b2 + b - 30 = 0
(b - 5)(b + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b + 6) must equal zero:
If (b - 5) = 0, b must equal 5
If (b + 6) = 0, b must equal -6
So the solution is that b = 5 or -6
Which of the following is not true about both rectangles and squares?
the area is length x width |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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exponents |
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pairs |
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division |
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.)