9th Grade Math Final
Quiz
•
Mathematics
•
9th Grade
•
Hard
+20
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Krista Gleyzer
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20 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Consider the system of equations
3x + 4y = 0
-3x +-4y = 2
Adding the two equations side-by-side and simplifying yields 0 = 2.
Which of the following can be concluded about the system of equations?
It has a unique solution (2, 0).
It has exactly two solutions (2, 0) and (0, 2).
It has infinitely many solutions.
It has no solution.
Answer explanation
Since both sides of the equation do not equal each other, this is how you can tell that a problem has no solution.
Tags
TEKS.MATH.A.5C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
On a number line, the coordinates of A and B are -3 and b, respectively. If the coordinate of the midpoint M of AB is 5, what is the value of b?
12
15
13
4
Answer explanation
If you subtract a point from the midpoint you are able to determine the length of that segment. Midpoint(M) - point of segment (A) = AM
Then use the property of midpoints:
AM=1/2(AxB)
[M is the midpoint of AB]
5-(-3) = 1/2(b-(-3)) [Substitution]
8= 1/2 (b+3)
8= 1/2b + 3/2
multiply both sides of the equation by 2
8x2=2(1/2b) + 2(3/2)
16=b + 3
16-3 = b
13 = b
Tags
TEKS.MATH.G.2A
TEKS.MATH.G.2B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Refer to the graph above. The shaded region is the solution set of:
Answer explanation
Locate 2 points on the graph of the line. For example: (-1, 0) & (0,2).
Use these points to figure out the slope of the line.
Then, find the point that is your y-intercept, [meaning where the line intersects the y-axis] (0,2) Now we know the equation is y=2x+2.
Since the line is a solid line and not dotted, we know that it is either .
Finally, we try one of the ordered pairs we picked with both types of inequalities.
The only one that works and matches with the shaded region is
Tags
TEKS.MATH.A.3D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A boat travels with the current at 15km/h and travels against the current at 7km/h. What is the speed of the boat in still water, and what is the rate of the current?
Speed: 15km/h
Current: 7km/h
Speed: 13 km/h
Current: 6 km/h
Speed: 11 km/h
Current: 4 km/h
Speed: 10 km/h
Current: 5 km/h
Answer explanation
You will need two equations. One that shows the boat's speed with the current, and one that shows the boat speed against the current.
b+c=15(this equation shows the speed of the boat with the current equals 15km/h)
b-c=15(this equation shows the speed of the boat against the current equal 7km/h)
b + c =15
b - c = 7
Use the elimination method to solve for b.
This yields 2b = 22
b = 22/2
b = 11
The boat's speed in still water is 11km/hr.
Plugin 11 km/hr into the first equation and solve for c.
11 + c = 15
c = 15 - 11
c = 4
The rate of the current is 4 km/hr
Tags
TEKS.MATH.A.5C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Triangle KLP is _________________________ triangle
right
obtuse
acute
Tags
TEKS.MATH.4.6C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Triangle ALK is _________________________ triangle.
right
obtuse
acute
Tags
TEKS.MATH.4.6C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Triangle APK is _________________________ triangle
Right
Obtuse
Acute
Tags
TEKS.MATH.4.6C
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