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 inputintercept 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 inputintercept method 
Solve the inequalityusing the inputintercept 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 pointslope 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 pointslope 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 piecewise 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) 
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