Show:
Real Numbers and Functions
Solving Linear Equations
Graphing Linear Equations
Absolute Value Equations
Writing Equations of Lines
100
Simplify -2(-4x-5)-9x
-x+10
100
Solve -7=9+(x/3)
-48
100
What is the slope of a horizontal line?
Zero
100
How many answers will you have when solving an absolute value equation?
Two
100
Describe how to write the equation of a line when given the graph.
1) Pick two points and count the slope (rise/run). 2) Find the y-intercept (where the graph crosses the y-axis). 3) Plug into y=mx+b.
200
Simplify 3x-(-2+6x)+10
-3x+12
200
Solve 9z+17=11z+3.
7
200
What is the slope of a vertical line?
Undefined
200
Solve abs(x-8)=10.
18 and -2
200
Write the equation of the line that passes through (-2, -5) and has a slope of 4.
y=4x+3
300
The Cubs won 87 games in 2013 and 75 games in 2014. Find the percent of decrease. Round to the nearest percent.
14%
300
Solve (3/4)x - 6 = x - 8.
8
300
What is the slope formula?
m = (y2-y1)/(x2-x1)
300
Solve (1/2)abs(6x-4)-8=2.
4 and (-8/3)
300
Write the equation of the line with x-intercept 3 and y-intercept -2.
y=(2/3)x-2
400
Given f(x) = 2x^3 and g(x) = 5x-2, find f(2)-g(3).
3
400
Solve P=2L+2W for W.
W=(P-2L)/2 or W=P/2-L
400
On graph paper, graph the line y=(-2/5)x+4.
See graph.
400
What is the vertex of y=abs(x-1)-2
(1, -2)
400
Write the equation of the line that passes through (-2,-5) and (1,7).
y=4x+3
500
Given g(x) = 5x-2, find g(x-3).
5x-17
500
A board that is 36 feet long is cut into two pieces. If the second piece is twice as long as the first, find the two lengths.
12 ft. and 24 ft.
500
On graph paper, graph the line -x+2y=-8.
See graph.
500
What is the vertex of y=2abs(x+4)?
(-4,0)
500
A local car dealership pays their salespeople $1500 a month plus 5% commission on what they sell. Write an equation and use the equation to find how much a salesperson must sell to earn $5000 for the month.
Equation --> y=.05x+1500 Amount needed to sell --> $70,000