Linear Functions
What is the slope of the line passing through (2, 3) and (4, 7)?
2
Solve : y=x+2, y=−x
Solution: (-1,1)
What is the vertex of the parabola
y=(x−2)2+3?
(2,3)
Simplify: x3 ⋅ x2
x5
What type of correlation is shown: test scores increase as study time increases?
Positive correlation
Write the slope-intercept form of a line with slope 2 and y-intercept -5.
y=2x-5
What does it mean when a system has no solution?
Lines are parallel
same slope different y intercepts
Factor: x2+5x+6
(x+2)(x+3)
Simplify: (2x2)3
8x6
What is the line of best fit for the data: (1,2), (2,3), (3,4)?
y=x+1
Is the function y=3x proportional or non-proportional?
Proportional
goes through the origin
Solve the system:
3x+y=10
y=2x
(2,4)
Solve the Quadratic:
x2+2x−8=0
x=-4
What is the degree and leading coefficient of 4x3−2x2+7?
Degree: 3
Leading Coefficient:4
What does an outlier in a scatterplot represent?
Data point far from others
Graph: y=−2x+6. What is the y-intercept?
y=6
Solve the System:
2x+y=5
3x-y=10
(3,-1)
Identify whether the parabola opens up or down: y=−2x2+4x
DOWN
Simplify
x5/x2
x3
Which has a stronger correlation: r = 0.9 or r = -0.3?
r=0.9
Write an equation of a line parallel to y=−3x+4 that passes through (1, 2).
y=-3x+5
Word problem: "Tickets cost $5 for students, $8 for adults. Total $94 was collected from 4 more adults than students." Write and solve the system.
5s+8a=94
a=s+4
s=6, a=10
Word problem: A ball is thrown and follows the path
h(t)=−16t2+32t+5.
What is the maximum height?
21
Simplify: (3x2+2x)(x−4)
3x3-10x2-8x
Explain whether this scenario represents causation or correlation: "Ice cream sales and drowning rates both rise in summer."
Correlation, not causation