Term
On a number line point C has a coordinate -2 and point J has a coordinate 8. What is the coordinate of point W which is midway between C and J? |
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Definition
-2-(8)= -10
Mid-way is 5 units from either end = -2+5= 3 |
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Term
Line c contains the points (2,3) and (6,6).
If line d is a different line, parallel line to c in the same coordinate plane, which of the following could be the equation of line d ?
A. y= 1x-4
B. y= -1/2x-3
C. y= 1x+2
D. y= 2x+3
E. y= -3x+2 |
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Definition
Slope of the line: (6-3)/(6-2)= 3/3= 1
Use the formula y= mx+c, m represents the slope, so we are looking for an equation where m = 1
Now calculate the intercept , c, for line c. Use the coordinate of one of the points on d, you get: 6 = 6(2*6) + c; 4-12 = c; c = -8
So answer C is the equation of a parallel line. |
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Term
In a figure a square has two sides which are tangent to the circle. If the area of the circle is 8a^2pie, what is the are of the square?
A. 2a^2
B. 16a^2
C. 64a^2
D. 4a^2
E. 8a^2 |
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Definition
If the area of the circle is 8a^2pie, then the radius will be the square root of 8a^2.
The diameter will be 8a. The diameter is also the side of the square. Area of the square is (8a)^2 = 64a^2 |
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Term
A triangle has a perimeter of 20. The two shorter sides have integer lengths equal to x and 4x. Which of the following could be the length of the other side?
A. 5
B. 4
C. 2
D. 6
E. 8 |
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Definition
20 = x + 4x
20 = 5x
x = 4
Correct answer B. 4 |
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Term
If f(x) = 6x-3 and g(x) = 3x+2. And if f(k) = g(k). What is the value of k?
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Definition
Find f(k) and g(k) and solve.
6k-3 = 3k+2
3k-3 = 2
3k = 5
k= 5/3 or 1.66 |
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