| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
A coordinate grid is composed of which of the following?
origin |
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y-axis |
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x-axis |
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all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Simplify (3a)(7ab) + (6a2)(7b).
| 21ab2 | |
| -21ab2 | |
| 63ab2 | |
| 63a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(7ab) + (6a2)(7b)
(3 x 7)(a x a x b) + (6 x 7)(a2 x b)
(21)(a1+1 x b) + (42)(a2b)
21a2b + 42a2b
63a2b
Solve for y:
-4y - 3 < \( \frac{y}{-2} \)
| y < -1\(\frac{1}{9}\) | |
| y < -\(\frac{2}{3}\) | |
| y < -\(\frac{6}{7}\) | |
| y < 2\(\frac{2}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-4y - 3 < \( \frac{y}{-2} \)
-2 x (-4y - 3) < y
(-2 x -4y) + (-2 x -3) < y
8y + 6 < y
8y + 6 - y < 0
8y - y < -6
7y < -6
y < \( \frac{-6}{7} \)
y < -\(\frac{6}{7}\)
If angle a = 65° and angle b = 62° what is the length of angle d?
| 110° | |
| 157° | |
| 115° | |
| 119° |
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° - 65° - 62° = 53°
So, d° = 62° + 53° = 115°
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° - 65° = 115°
A quadrilateral is a shape with __________ sides.
3 |
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2 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.