Parallel lines l and m are intersected by transversal t. Angle x and angle y are corresponding angles. Angle Y is 56 degrees. What is the measure of Angle x?
56
Consider the five equations.
Equation 1: 2x+x+3=3(x+1)
Equation 2: 3(2x+9)=6x+8
Equation 3: 4x+5=3x+2x+3
Equation 4: 6x-2x+8=4(x+2)
Equation 5: 8+10x-6=2(5x-1)
Which equations have no solution?
Equations 2 and 5
Parallelogram KLMN is the image of parallelogram FGHJ after a vertical translation of parallelogram FGHJ. What can you determine about the angle measures?
angle L is equal to angle G
Angle G is greater than angle L
Parallelogram RSTU is rotated 90 degrees counterclockwise to create parallelogram R'S'T'U'. What rule describes this transformation?
(x,y) -> (-y,x)
Consider the equation y=2x. You want to write an equation with the same slope that intersects the y-axis at (0,-5). What is the new equation?
y=2x-5
You are given the equation y=1/3x+4. You are told to create a new line with the same slope that intercepts the y-axis at the origin. What is the new equation?
y=1/3x
Consider the following matrix.
3.25 2.67 4.56 6.43
1.46 7.14 5.71 3.72
How would you name this matrix?
The vertices of triangle XYZ are located at X(−4,−8), Y(−3,−1), and Z(−1,−5). What are the vertices of image X′Y′Z′ after triangle XYZ has been rotated 270∘ counterclockwise about the origin and dilated by a scale factor of 2.5 about the origin?
X' (-20,10)
Y' (-2.5,7.5)
Z' (-12.5,2.5)
Solve the equation to 4(4x-1)=2(6x-5). Determine if it has infinitely many solutions or one solution.
16x-4=12x-10; one solution
y=-2x+3
slope: -2
y-intercept: 3
Square STUV is rotated 270 degrees counterclockwise about the origin to form square S'T'U'V'. What rule describes this transformation?
(x,y) ->(y,-x)
If the data below is arranged so that each column represents each player, and each row represents one of the games, which matrix represents the data in the table correctly?
Player Game1 Game2 Game3 Game4
Player1 15 18 17 20
Player2 20 22 21 25
Player3 12 14 13 16
Player4 18 20 19 22
15 20 12 18
18 22 14 20
17 21 13 19
20 25 16 22
What value for x makes the equation 6(2/3x+5) = 3x -18 true?
-48
Segment RS is 15.3 inches long. If segment RS is dilated by a scale factor of 1/3 to form YZ, which statement is true?
YZ will be a third of the length of segment RS
Hexagon RSTUVW is rotated 180 degrees clockwise about the origin to form hexagon R'S'T'U'V'W'. Opposites sides of the hexagon are parallel. What can you determine about segment T'U' and R'W'?
They are parallel.
What value of m makes the equation 12x+8=4(3x+m) have infinitely many solutions?
2
Parallel lines r and s are intersected by transversal t. Write an equation that would help you solve for the values of angles 7 and 8.
m<7 + m<8 =180
Which matrix represents how many more minutes Student 1 reads than Student 2?
Student 1: Student 2:
45 58 48 36 40 38
32 30 26 25 20 25
9 18 10
7 10 1
Lines S and T are parallel. Both lines are translated 4 units right to form lines S' and T'. What can you determine about these lines?
They are parallel because translations preserve parallel lines.
Parallel lines r and s are intersected by transversal t. Two supplementary angles are given. Angle 1 is 108 degrees and Angle 2 is 2x. What is the value of x?
36