| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
Find the value of b:
-5b + y = 2
-3b + 5y = -3
| -\(\frac{13}{22}\) | |
| \(\frac{19}{28}\) | |
| -1 | |
| 1\(\frac{5}{11}\) |
You need to find the value of b so solve the first equation in terms of y:
-5b + y = 2
y = 2 + 5b
then substitute the result (2 - -5b) into the second equation:
-3b + 5(2 + 5b) = -3
-3b + (5 x 2) + (5 x 5b) = -3
-3b + 10 + 25b = -3
-3b + 25b = -3 - 10
22b = -13
b = \( \frac{-13}{22} \)
b = -\(\frac{13}{22}\)
What is 9a7 + 2a7?
| 7 | |
| 7a14 | |
| 11a7 | |
| 11a14 |
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.
9a7 + 2a7 = 11a7
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
|
y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
|
sum of interior angles = 180° |
|
perimeter = sum of side lengths |
|
area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.