College Algebra Spring 2013

Test #1 Review:

SectionKey Skills

PSimplify exponential, polynomial, radical, and rational expressions

Factor polynomial expressions

1.2Solve linear equations

Solve linear equations with fractions

Solve rational equations

Recognize equations as identities, conditional, or inconsistent

1.6Solve absolute value equations

1.7Use interval notation

Solve and graph linear inequalities

Solve and graph absolute value inequalities

1.3Solve for a variable in a formula

1.4 Add, subtract, multiply, and divide complex numbers

Test #2 Review:

SectionKey Skills

1.5Solve quadratic equations by factoring

Solve quadratic equations by the square root property

Solve quadratic equations using the quadratic formula

1.6Solve polynomial equations by factoring

Solve equations of quadratic type

Solve radical equations

2.1 Find output and input values for a function

 Determine a function numerically, algebraically, and graphically

 Find the domain and range of a function graphically

Find x- and y- intercepts algebraically and graphically

2.2Identify increasing, decreasing, and constant intervals

 Identify relative maximums and minimums

2.3 Find the slope of a line

Write and graph a linear equation in point-slope form

Write and graph a linear equation in slope-intercept form

Write and graph a linear equation in general form

Write and graph a horizontal or vertical line

Find x- and y- intercepts algebraically and graphically

2.4Find slopes and equations of parallel and perpendicular lines

Test #3 Review:

SectionKey Skills

2.5 Identify common functions by their graphs

- absolute value, quadratic, square root,cubic, cube root

 Identify graphs of transformed functions

-vertical and horizontal shifts

-reflections in the x- and y-axes

-vertical and horizontal distortions

2.6 Find the domain of a function

 Find the sum, difference, product, or quotient oftwo functions

 Find the composition of functions

2.7 Find inverse functions algebraically

 Use the horizontal line test

 Find inverse functions graphically

2.8 Find the distance between two points

Find the midpoint of a line segment

Write the equation of a circle in standard form

 Findthecenter,radius,domain,andrangeofacirclefromitsequation

Change from general to standard form

Test #4 Review:

SectionKey Skills

3.1 Identify quadratic functions algebraicallyand graphically

Write and graph the equation of a quadratic function in

generalor standard form

 Find the vertex, axis of symmetry, and maximum or minimum value

 Find the intercepts and domain and range of a quadratic function

3.2 Identify polynomial functions algebraicallyand graphically

 Use the leading coefficient test to describe end behavior

 Graph polynomial functions using the multiplicities of zeros

3.5 Identify rational functions algebraically and graphically

 Use arrow notation with asymptotes

 Find asymptotes graphically and algebraically

 Identify and graph transformed rational functions

3.7Solve problems involving direct, inverse, combined, and joint variation

5.1 Solve linear systems by substitution and elimination

Identify dependent systems

Test #5 Review:

SectionKey Skills

4.1Evaluate and graph exponential functions

Use the compound interest formulas

4.2 Write expressions in logarithmic and exponential form

 Evaluate and graph logarithmic functions

 Use the basic properties of logarithms

Use common and natural logarithms

4.3 Use more properties of logarithms

-product rule, quotient rule, power rule, change-of-base formula

 Expand or condense logarithmic expressions

4.4 Solve exponential and logarithmic equations

HW / Section / Problems
1a / P / 2.61, 3.41, 4.53, 5.25, 5.57, 6.19, 6.41
1b / 1.2 / 9, 23, 25, 33, 39, 43, 47, 49, 61, 63, 65, 67
1c / 1.6; 1.7 / 65, 73, 75; 1, 9, 27, 31, 45, 47, 49, 63, 71
1d / 1.3; 1.4 / 57, 63, 65, 67, 69, 73; 3, 9, 19, 21, 25, 27
2a / 1.5 / 1, 3, 7, 9, 15, 19, 21, 23, 67, 71, 73, 99
2b / 1.6 / 1, 3, 9, 41, 45, 47, 11, 15, 17, 21, 23, 25
2c / 2.1; 2.2 / 1, 9, 13, 17, 21, 33, 59, 61, 83; 1, 7, 13
2d / 2.3; 2.4 / 7, 11, 25, 37, 43, 61, 71, 5, 9, 49, 51; 7
3a / 2.5 / 59, 77, 85, 103, 57, 61, 71, 75, 89, 91, 113, 117
3b / 2.6 / 3, 5, 7, 17, 31, 33, 51, 59, 61
3c / 2.7 / 15, 17, 19, 21, 23, 27, 29, 33, 35, 37, 47, 51
3d / 2.8 / 1, 7, 23, 25, 31, 35, 37, 39, 45, 51, 57, 59
4a / 3.1 / 1, 7, 9, 13, *, *, 23, 25
4b / 3.2 / 1, 5, 7, 9, 11, 13, 19, 21, 23, 25, 27, 29
4c / 3.5 / 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 41, 47
4d / 3.7; 5.1 / 1, 3, 5, 7, 9; 7, 9, 21, 23, 25, 31, 41
5a / 4.1 / 11, 15, 19, 21, 23, 25, 29, 37, 41, 53
5b / 4.2 / 1, 9, 11, 13, 23, 25, 29, 35, 37, 39, 43, 53, 55, 81, 93
5c / 4.3 / 1, 11, 15, 19, 33, 41, 45, 51, 59, 61, 71, 77
5d / 4.4 / 7, 9, 13, 15, 23, 27, 31, 43, 53, 67, 79, 89