Translations
What is the rule for translating a point ( (x, y) ) to the right by 3 units?
Add 3 to the x coordinate
What is the rule for reflecting a point ( (x, y) ) over the x-axis?
(x, -y)
What does the "m" represent in the equation (y = mx + b)?
The slope of the line.
What is the sum of -7 and 5?
-2
What are the factors of 12?
1,2,3,4,6,12
If point A(2, 5) is translated 4 units down, what are the coordinates of the new point?
(2, 1)
If the point B(-3, 4) is reflected over the y-axis, what are the coordinates of the new point?
(3, 4)
If the slope is 2 and the y-intercept is 3, what is the equation of the line?
y=2x+3
Calculate the product of -3 and 4.
-12
What are the factors of 30?
1,2,3,5,6,10,15,30
Describe the effect of translating a shape 2 units left and 5 units up in terms of its coordinates.
Each point ( (x, y) ) becomes ( (x - 2, y + 5) )
Describe what happens to the coordinates of a point when it is reflected over the line ( y = x ).
The coordinates swap places; ( (x, y) ) becomes (y, x).
What is the slope of the line with the points (1, 2) and (3, 8)?
m=3
2-8/1-3 OR 8-2/3-1
What is -15 divided by 3?
-5
What is the greatest common factor (GCF) of 8 and 12?
4
A triangle has vertices at ( (1, 1), (1, 3), (3, 1) ). What are the new coordinates after translating it 3 units right and 2 units down?
( (4, -1), (4, 1), (6, -1) )
A rectangle has vertices at ( (2, 2), (2, 4), (4, 2), (4, 4) ). What are the new coordinates after reflecting it over the x-axis?
( (2, -2), (2, -4), (4, -2), (4, -4) )
Write the equation of the line in slope-intercept form if the line passes through the point (4, 5) and has a slope of -1.
y = -1x + 9
If you subtract -8 from 6, what is the result?
14
What are the factors of 100?
1,2,4,5,10,20,25,50,100
How does the translation of a point affect its distance from the origin?
The distance from the origin may change depending on the direction and magnitude of the translation.
Explain how reflecting a shape over the y-axis affects its orientation and position on the coordinate plane.
The shape's orientation flips horizontally, and its position changes based on the distance from the y-axis.
Determine the y-intercept of the line given by the equation 4y = 3x + 12.
b=3
Solve: −6+4−(−2)−6+4−(−2)
0
Find the prime factorization of 56.
2x2x2x7