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How can you tell a set of lines are perpendicular?
30 seconds |
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Definition
The slopes of the lines will be opposite (or negative) reciprocals. |
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Term
How can you tell lines are parallel?
30 seconds |
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Definition
The slope of the lines will be exactly the same. |
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Term
58 is 29% of what number?
60 seconds |
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Definition
Set up proportion.
58 is 29% of 200
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Term
Find the percent increase or decrease from 175 to 103.
60 seconds |
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Definition
Set up a proportion.
There is a 16% increase. |
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Term
Solve and check:
x/(-15)-7=3
90 seconds |
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Definition
Solve for x.
x=-150
(-150/-15)-7=3
10-7=3
3=3 |
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Term
Solve and check:
-5x+8=228
90 seconds |
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Definition
Solve for x
x=-2.96
-5(-2.96)+8=22.8
14.8+8=22.8
22.8=22.8
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Term
Solve and check.
-6x+9+8x=-1
90 seconds
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Definition
x=-5
-6(-5)+9+8(-5)=-1
30+9-40=-1
-1=-1 |
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Term
Solve and check.
8x-12-2x=6+5x-3
90 seconds
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Definition
x=15
8(15)-12-2(15)=6+5(15)-3
120-12-30=6+75-3
78=78 |
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Term
Solve. Then graph the solution set on a number line and check.
3a-15<3
2 minutes |
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Definition
3a-15<3
a<6
Using 0 to check:
3(0)-15<3
-15<3 |
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Term
Solve. Then graph the solution set on a number on a number line and check.
2 minutes |
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Definition
x<=2
Using 0 for the check:
0+4-3*0>=-4
0+4>=-4
4>=-4 |
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Term
Solve for y, state the m, b, graph and check.
y+2x=1
2.5 minutes |
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Definition
y=-2x+1, m=-2/1, b=1
check: (-1,3)
3+(2*-1)=1
3-2=1
1=1
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Term
Determine which of the ordered pairs is a solution for the system of equations below.
(1,5),(3,7)
3y+3x=18
2y-2x=8
90 seconds |
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Definition
3(5)+3(1)=18
15+3=18
18=18
2(5)-2(1)=8
10-2=8
8=8
(1,5)
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Term
What is the slope of the line that passes through the points (7,5), (1,8)? Show your work.
90 seconds |
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Definition
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Term
Calculate the slope of the line in the following graph:
60 seconds |
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Definition
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Term
Graph the line with a slope of -3/2 that passes through the y intercept of -2.
60 seconds |
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Definition
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Term
Graph the following inequality. Name m, b, show check and shade.
y>=3x+2
3 minutes |
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Definition
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Term
Graph the two equations to solve for x and y. State m and b for each and name the point of intersection. Check the point of intersection in both equations.
2x+2y=0
y=x+2
3 minutes |
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Definition
equation 1: m=-1/1, b=0
equation 2: m=1/2, b=2
intersection (-1,1)
check: 2(-1)+2(1)=0
-2+2=0, 0=0
1=-1+2, 1=1
It checks! |
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Term
Explain in words how you can determine whether the ordered pair (1,2) is a solution of the system of equations below.
2x+y=4
-4x+10y=16
90 seconds |
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Definition
You can determine whether the ordered pair (1,2) is a solution of the system of equations by plugging the x and y value in and seeing if the ordered pair checks for both equations. If it checks for both, it is a solution, if it does not, it is not a solution. |
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Term
What is the slope of a vertical line? Why?
60 seconds |
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Definition
The slope of a vertical line is either no slope or undefined because you cannot define by zero. Check it on your calculators. |
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Term
What is the slope of a horizontal line?
60 seconds |
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Definition
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Term
Use the below equations to tell which lines are parallel or perpendicular.
line 1: y=3x+4
line 2: y=-4x+1
line 3: y=(-1/3)x-8
line 4: y=3x
90 seconds.
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Definition
line 1 and 3 are perpendicular
line 3 and 4 are perpendicular
line 1 and 4 are parallel |
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Term
One line goes through the points (-1,-1) and (3, 7) and another goes through (2,0) and (6, -2). Are these lines parallel or perpendicular?
3 minutes |
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Definition
Slope of the first line: (2/1)
Slope of the second line: (-1/2)
They are perpendicular. 9i |
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