Vocabulary & Properties
Solving Absolute Value and Inequality
Functions?
One to one?
Lines and Slope
Graphing
100
In order to solve equations correctly, one follows this: ____________________ also referred to as PEMDAS.
What is the "order of operations"?
100
Solve -3x-2 ≤ 7
What is x ≥ -3?
100
Is this function one to one? and why? (1,5); (-1,2); (3,5)
What is "no" because when you graph these points, they fail the "horizontal line test"/ there is a repeated y value.
100
What is the slope of the equation (y-2)= 4(x+1)?
What is 4?
100
Graph a line with the point (1,0) and a slope of -2.
What is "show me your graph"
200
Name the "coefficient" in this function: (y-4)=-2(x-3)
What is -2?
200
Solve |x+3|=17
What is x= 14, -20?
200
Are all lines one to one? & why?
What is "yes" because they pass the horizontal line test/ none of the x values are paired with more than one y value.
200
Write the equation 12x - 4y= 16 in slope-intercept form
What is "y=3x - 4"?
200
Graph the function y=|x-1| + 2
What is "show me your graph."
300
What type of number is -4.33333333333
What is "rational"?
300
Draw this on the same number line: 5(x-2) > 10 2x +1 ≤ 13
What is "show me your number line"
300
Draw a mapping that is not a function (It must have at least three points).
What is "show me your complete mapping"
300
What does the function y= -4 look like?
What is a horizontal line, with a y intercept of (0,-4).
300
Do the lines y=4x + 3 and (y+1)=4(x-2) intersect? Why?
What is "no" because they are parallel/ these lines have the same slope.
400
State the three cases of the Trichotomy Property.
What is "a=b, a>b or a<b"?
400
Solve |x+5|- 4=11
What is x=10, -20?
400
When can you apply the "horizontal line test"?
What is "once we have determined that the curve/line is a function."
400
Write the equation of a line that is perpendicular to the function y= -2x + 1 and passes through the point (-2, 3).
What is "y= 1/2x + 4"?
400
Graph and shade the function |x+4|-1<3
What is "show me your graph"
500
State the symmetric property.
What is "For all real numbers, if a=b, then b=a"
500
Solve |x-4|<3
What is "-7<x<-1"?
500
Is the function y=x^3 one to one?
What is "yes": see picture...
500
Change (y - .65)= 3(x + 1.35) into standard form.
What is "y - 3x= 4.7"
500
Graph y<|x| and y>-5 on the same axes. [shade the regions]
What is "show me your shaded graph"
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Algebra II/Algebra II Honors Test #1
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