Transformations & Similarity
A triangle is translated 4 units right and 3 units down. What happens to its side lengths and angle measures?
They stay the same.
What is the slope of the line through (1,4) and (3,10)?
3
Solve:
5x-7=18
x=5
Which relation is a function:
A. (1,2),(1,5),(3,4)
B. (0,1),(2,3),(4,5)
B
Simplify
4^3 * 4^2
4^5
What is the rule for reflecting a point across the x-axis?
(x,y) ->
(x,y) -> (x,-y)
In the equation y=-4x+7 , what are the slope and y-intercept?
Slope: -4; y-intercept: 7
Solve:
3(x+2)=x+14
x=4
A function table has points (0,3), (2,7), (4,11), (6,15). What is the rate of change?
2
Simplify
x^10/x^4
x^6
Two figures are congruent. What must be true about their corresponding side lengths and angle measures?
They are equal.
Write the equation of a line with slope 2/3 and y-intercept -5.
y=(2/3)x-5
Solve the system:
{(x+y=9),(x-y=3):}
(6,3)
What shape is the graph of
y=abs(x-3)
?
A V-shape.
Write 0.00082 in scientific notation.
8.2 * 10^-4
Triangle ABC is similar to triangle DEF. If AB=6, BC=9, and DE=10, what is EF?
15
A line passes through (2,1) and has slope 4. What is its equation in slope-intercept form?
y=4x-7
A system of two linear equations has no solution when the lines have the same slope and different y-intercepts. What are the lines called?
Parallel lines.
A scatter plot shows that as study time increases, test scores tend to increase. What type of association is this?
Positive association.
A right triangle has legs of length 8 and 15. What is the hypotenuse?
17
A rectangle has length 8 and width 5. A similar rectangle has length 24. What is the width of the larger rectangle?
15
What is the slope of a line perpendicular to y=(5/2)x+1 ?
-2/5
Tickets cost $4 for students and $7 for adults. A group bought 8 tickets for $44. How many adult tickets were bought?
4
A teacher records whether students passed or failed Quiz 1 and Quiz 2. What display is best for comparing the two quiz results?
A two-way frequency table.
What is the distance between (1,2) and (7,10)?
10