College Algebra Prerequisite Algebra Skills

Section	Topic	Example
1.1	Type of number	Classify the number with as many as apply - natural, integer, rational, or real : 23/30
	Scientific notation	Write the number in scientific notation:
1.2	Arrange numbers numerically	Arrange the numbers from smallest to largest:
	Plot data set on a number line	Plot the set of data on a number line:
	Make a scatterplot	Make a scatterplot with the set of data using correctly labeled axes:
1.3	Graph a function by hand	Graph the function f by hand then check using a graphing calculator :
	Express a verbal representation	Express a verbal representation for “to convert g gallons to l liters, multiply g by 3.785”
	Evaluate a function graphically	Use the graph of
	Determine the domain and range	Determine the domain and range of
1.4	Determine the slope using 2 points	Determine the slope of the line that passes through the points (-0.5, .9.2) and (-0.3, -.7.6)
1.5	Approximate value of function	Approximate f(1.9 ) for
	Determine the vertex of a parabola	Determine the coordinates of the vertex of

2.1	Solve a linear equation graphically	Use the graph of the function f(x) = 2x –5 to solve for f(x) = 0
	Solve an equation graphically using the input- intercept method	Use the input-intercept method to solve the equation graphically:
	Solve an equation graphically using the intersection of graphs method	Solve the equation using the graphical method of intersection of graphs.
	Use a table to solve an equation numerically	Create a table of input and output values for the function and solve the function to the nearest tenth:
	Solve an equation symbolically	Use a symbolic method to solve the equation
2.2	Solve a linear inequality graphically using the input-intercept method	Solve the inequalityusing the input-intercept method.
	Solve a linear inequality graphically using the intersection of graphs method	Solve the inequalityusing the intersection of graphs method.
	Solve a linear inequality numerically	Solve the inequality numerically
	Express inequality in interval notation	Write the inequality in interval notation:
	Solve a linear inequality symbolically	Solve the inequality symbolically:
2.3	Write linear equation in point-slope form given two points	Write the linear equation for the line that passes through the points (4, 5) and (-2, -3)
	Write a linear equation in point-slope form given a point and the slope	Write the linear equation for the line that passes through the point (4,5) and has slope of –2.4
	Write a linear equation for a line parallel to a given line	Write the equation of the line that is parallel to the line y = -3x + 7 and passes through the point (1, 5)
	Write a linear equation for a line that is perpendicular to a given line	Write the equation of the line that is perpendicular to the line y = -3x + 7 and passes through the point (1, 5)
2.4	Evaluate a piece-wise defined function	Evaluate the function at x = -3 and at x = 2
	Graph an absolute value function	Graph the function f (x) = \| 2x − 4 \|
	Solve an absolute value function symbolically.	Solve the function symbolically: Write the solution in interval notation.
	Solve an absolute value function graphically and write the solution in interval notation	Solve the function graphically and write the solution in interval notation:
2.5	Determine the midpoint of a line segment	Determine the midpoint of the line segment connecting the points (1.5, 2.9) and (-5.7, -3.6)
	Determine the distance between two points in a coordinate plane	Determine the length of the line segment connecting the points (1.5, 2.9) and (-5.7, -3.6)