 # 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 inequality using the input-intercept method. Solve a linear inequality graphically using the intersection of graphs method Solve the inequality using 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)
 Prev Next