| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Find the value of c:
-4c + z = -3
-9c + 7z = 4
| 5 | |
| -\(\frac{7}{26}\) | |
| 1\(\frac{6}{19}\) | |
| 6\(\frac{7}{9}\) |
You need to find the value of c so solve the first equation in terms of z:
-4c + z = -3
z = -3 + 4c
then substitute the result (-3 - -4c) into the second equation:
-9c + 7(-3 + 4c) = 4
-9c + (7 x -3) + (7 x 4c) = 4
-9c - 21 + 28c = 4
-9c + 28c = 4 + 21
19c = 25
c = \( \frac{25}{19} \)
c = 1\(\frac{6}{19}\)
A coordinate grid is composed of which of the following?
x-axis |
|
origin |
|
all of these |
|
y-axis |
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.
What is 8a - 2a?
| 6a | |
| 10 | |
| 16a | |
| 10a2 |
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 - 2a = 6a
Simplify (7a)(3ab) + (7a2)(6b).
| 63a2b | |
| 21a2b | |
| -21ab2 | |
| -21a2b |
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.
(7a)(3ab) + (7a2)(6b)
(7 x 3)(a x a x b) + (7 x 6)(a2 x b)
(21)(a1+1 x b) + (42)(a2b)
21a2b + 42a2b
63a2b
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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right angle |
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equal length |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.