1-3 Solving Equations
2-4 Using Linear Models
2-5 Absolute Value Functions and Graphs
2-6 Families of Functions
3-4 Linear Programming
3-6 Systems with 3 Variables
100
Solve for w. 7w+2=3w+94
What is w=23?
100
Write an equation for each line in standard form. through (2,2), y-intercept=10
What is 4x + y =10?
100
Graph y=|x|
What is vertex at (0,0) and looks like a v? LINK: http://www.wolframalpha.com/input/?i=%3Dabsolute+value%28x%29
100
Write the vertex form of an absolute value equation. (hint:account for variables that cause vertical stretch/shrink, and shifts)
What is y=a|x-h|+k?
100
Graph the constraints. Name all vertices. Then find the minimum for P=3x +2y Constraints: x+y>8 y>5 x>0
What is vertices (3,5),(0,8) and (0,8) gives us a minimum of 16? LINK to graph: http://www.wolframalpha.com/input/?i=x%2By%3E8%2C+y%3E5%2C+x%3E0
200
Solve for r. I=prt
What is I/(pt)=r
200
Write an equation for the line in standard form: Slope=(-1/2), y-int=4
What is x+2y=8
200
http://www.analyzemath.com/Graphing/graphing_square_root_func.html Write an equation for the graph
What is y=|x-3|?
200
Write an equation for each translation: Shift 2 units up and 5 units to the left
What is y=|x+5|+2?
200
What is a feasible region.
What is the shaded region of the graph that contains all the points that satisfy all the constraints?
300
Solve for x. ax+bx=c
What is x=c/(a+b)
300
Graph each set of data to decide whether a linear model is reasonable. If so, write an equation for the trend line: (-15,8),(-8,-7),(-3,0),(0,5),(7,-3)
What is not reasonable?
300
Graph y=|x+6|
What is vertex at (0,-6)? Link: http://www.wolframalpha.com/input/?i=y%3Dabsolute+value%28x%2B6%29
300
Graph the equation y=|x|-5
What is vertex at (0,-5)/vertical shift down 5? LINK: http://www.wolframalpha.com/input/?i=y%3Dabsolute+value%28x%29-5
300
Graph each system of constraints. Name all vertices. Find the maximum or minimum value. 2
What is vertices (2,1),(6,1),(6,2),(2,5),(3,5)? Maximized at (6,2)? http://www.wolframalpha.com/input/?i=2%3Cx%3C6%2C+1%3Cy%3C5%2C+x%2By%3C8
400
The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle.
What is length=7.5cm and width=4.5cm?
400
A tree 5 ft tall grows an average of 8 in each year. Write an equation to model the tree's height h after x years.
What is h=8x+60? or What is h=(2/3)x+5?
400
Graph y=|x-2|-6
What is vertex at (2,-6) and opens up? LINK: http://www.wolframalpha.com/input/?i=y%3Dabsolute+value%28x-2%29-6
400
http://m.wolframalpha.com/input/?i=graph+y%3D-2%7Cx%7C%2B3&x=-989&y=-72 Write an equation for this graph:
What is y=-2|x|+3?
400
Solve each system by elimination. x + y + 3z = -3 x - y + z = -1 2x - y + 2z = 0
What is (4,2,-3)?
500
Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55mi/h and the other bus averages 45 mi/h. When will they be 400 mi apart?
What is 4 hours?
500
Write a linear model and use it to make a prediction: A 2-mi cab ride costs $5.25. A 5-mile cab ride costs $10.50. How much does a 3.8-mi cab ride cost?
What is y=1.75x+1.75 and 3.8-mi cab ride will cost $8.40?
500
Graph y=2|x+2|-3
What is vertex at (-2,-3) and a vertical stretch of 2? LINK: http://www.wolframalpha.com/input/?i=y%3D2absolute+value%28x%2B2%29-3
500
Graph y=-4|x-5|-2
What is vertex at (5,-2), reflected across x-axis and vertical stretch by 4? LINK: http://www.wolframalpha.com/input/?i=y%3D-4absolute+value%28x-5%29-2
500
Graph the piecewise equations: f(x)= -x+1 x<-2 (and equal to) 5 -20 (and equal to)
What is closed dot on (-2,3) and (0,-3) and open dot at (-2,5) and (0,5)?
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