College Algebra and Problem Solving
Learn the basics of Algebra while preparing for future courses in Calculus through this credit-eligible college level math course.
There is one session available:
About this course.
This course is part of Global Freshman Academy (GFA) , which means you can earn transferable ASU credit toward your college degree.
In this college level Algebra course, you will learn to apply algebraic reasoning to solve problems effectively. You’ll develop skills in linear and quadratic functions, general polynomial functions, rational functions, and exponential and logarithmic functions. You will also study systems of linear equations. This course will emphasize problem-solving techniques, specifically by means of discussing concepts in each of these topics.
Content in this course will be adaptive, allowing you to achieve mastery in a certain concept before moving on to the next. Utilizing the ALEKS learning system, students in this personalized, self-paced course will be instructed on the topics they are most ready to learn while also providing individualized coaching as you move through each topic.
This is a 3-credit hour course at Arizona State University (MAT 117 College Algebra) and satisfies the Mathematical Studies (MA) general studies requirement. The cost to convert to credit is $600. This course may satisfy a general education requirement at other institutions; however, it is strongly encouraged that you consult with your institution of choice to determine how these credits will be applied to their degree requirements prior to transferring the credit.
At a glance
- Institution: ASUx
- Subject: Math
- Level: Introductory
- Prerequisites: None
- Language: English
- Video Transcript: English
What you'll learn
- How to apply algebraic reasoning to solve a range of problems.
- How to identify functions, domains, ranges, intercepts and other critical algebraic concepts
- Skills required for success in future studies in calculus.
Click to view the complete course syllabus here.
About the instructors
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College Algebra : Solving Equations and Inequallities
Study concepts, example questions & explanations for college algebra, all college algebra resources, example questions, example question #1 : solving equations and inequallities.
Give all real solutions of the following equation:
Substitute back:
The first factor cannot be factored further. The second factor, however, can itself be factored as the difference of squares:
Set each factor to zero and solve:
Since no real number squared is equal to a negative number, no real solution presents itself here.
Example Question #2 : Solving Equations And Inequallities
The equation has no real solutions.
These factors can themselves be factored as the difference of squares:
Example Question #1 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b
Example Question #2 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b
The first step is to distribute (multiply) the 2 through the parentheses:
Example Question #4 : Solving Equations And Inequallities
Simplify the parenthesis:
Combine the terms with x's:
Combine constants:
Example Question #5 : Solving Equations And Inequallities
Solve the following equation when y is equal to four.
To solve this equation, we need to plug in 4 for y and solve.
Example Question #6 : Solving Equations And Inequallities
Solve the following:
To solve, we must isolate x. In order to do that, we must first add 7 to both sides.
Next, we must divide both sides by 3.
Example Question #7 : Solving Equations And Inequallities
Write an equation of the line passing through (5,10) and (10,2).
None of these.
To find this line, first find the slope (m) between the two coordinate points. Then use the point-slope formula to find a line with that same slope passing through a particular point.
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Praxis Core Math
Unit 1: lesson 4.
- Algebraic properties | Lesson
- Algebraic properties | Worked example
- Solution procedures | Lesson
- Solution procedures | Worked example
- Equivalent expressions | Lesson
- Equivalent expressions | Worked example
- Creating expressions and equations | Lesson
- Creating expressions and equations | Worked example
Algebraic word problems | Lesson
- Algebraic word problems | Worked example
- Linear equations | Lesson
- Linear equations | Worked example
- Quadratic equations | Lesson
- Quadratic equations | Worked example
What are algebraic word problems?
What skills are needed.
- Translating sentences to equations
- Solving linear equations with one variable
- Evaluating algebraic expressions
- Solving problems using Venn diagrams
How do we solve algebraic word problems?
- Define a variable.
- Write an equation using the variable.
- Solve the equation.
- If the variable is not the answer to the word problem, use the variable to calculate the answer.
What's a Venn diagram?
- Your answer should be
- an integer, like 6 6 6 6
- a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5
- a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4
- a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4
- an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75
- a multiple of pi, like 12 pi 12\ \text{pi} 1 2 pi 12, space, start text, p, i, end text or 2 / 3 pi 2/3\ \text{pi} 2 / 3 pi 2, slash, 3, space, start text, p, i, end text
- (Choice A) $ 4 \$4 $ 4 dollar sign, 4 A $ 4 \$4 $ 4 dollar sign, 4
- (Choice B) $ 5 \$5 $ 5 dollar sign, 5 B $ 5 \$5 $ 5 dollar sign, 5
- (Choice C) $ 9 \$9 $ 9 dollar sign, 9 C $ 9 \$9 $ 9 dollar sign, 9
- (Choice D) $ 14 \$14 $ 1 4 dollar sign, 14 D $ 14 \$14 $ 1 4 dollar sign, 14
- (Choice E) $ 20 \$20 $ 2 0 dollar sign, 20 E $ 20 \$20 $ 2 0 dollar sign, 20
- (Choice A) 10 10 1 0 10 A 10 10 1 0 10
- (Choice B) 12 12 1 2 12 B 12 12 1 2 12
- (Choice C) 24 24 2 4 24 C 24 24 2 4 24
- (Choice D) 30 30 3 0 30 D 30 30 3 0 30
- (Choice E) 32 32 3 2 32 E 32 32 3 2 32
- (Choice A) 4 4 4 4 A 4 4 4 4
- (Choice B) 10 10 1 0 10 B 10 10 1 0 10
- (Choice C) 14 14 1 4 14 C 14 14 1 4 14
- (Choice D) 18 18 1 8 18 D 18 18 1 8 18
- (Choice E) 22 22 2 2 22 E 22 22 2 2 22
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College Algebra and Problem Solving
Arizona State University via edX Help
This course is part of Global Freshman Academy (GFA), which means you can earn transferable ASU credit toward your college degree.
In this college level Algebra course, you will learn to apply algebraic reasoning to solve problems effectively. You’ll develop skills in linear and quadratic functions, general polynomial functions, rational functions, and exponential and logarithmic functions. You will also study systems of linear equations. This course will emphasize problem-solving techniques, specifically by means of discussing concepts in each of these topics.
Content in this course will be adaptive, allowing you to achieve mastery in a certain concept before moving on to the next. Utilizing the ALEKS learning system, students in this personalized, self-paced course will be instructed on the topics they are most ready to learn while also providing individualized coaching as you move through each topic.
This is a 3-credit hour course at Arizona State University (MAT 117 College Algebra) and satisfies the Mathematical Studies (MA) general studies requirement. The cost to convert to credit is $600. This course may satisfy a general education requirement at other institutions; however, it is strongly encouraged that you consult with your institution of choice to determine how these credits will be applied to their degree requirements prior to transferring the credit.
Click to view the complete course syllabus here.
Sue McClure and Adrian Sannier
- united states
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IMAGES
VIDEO
COMMENTS
Learn the basics of Algebra while preparing for future courses in Calculus through this credit-eligible college level math course.
College Algebra through Problem Solving by Cifone, Puri, Maslanko, & Stelmach. Section 1: Linear and Absolute Value Equations. Linear Equations.
College Level Math Study Guide for the. ACCUPLACER (CPT) ... For details on how to solve these problems, see Chapter 2 of the College Algebra text.
13.3: Solve a system of two linear equations in two variables. 14. KYOTECA.14.3: Solve problems that can be modeled using a linear or quadratic equation or.
Four examples of solving word problems in one variable with one equation. An example of an interest problem using I = P*r, a mixture problem
College Algebra : Solving Equations and Inequallities. Study concepts, example questions & explanations for College Algebra
Course summary ; 0/900 Mastery points. Solving equations with one unknown: Linear equations and inequalitiesSolutions to linear equations ; 0/1100 Mastery points.
Define a variable. · Write an equation using the variable. · Solve the equation. · If the variable is not the answer to the word problem, use the variable to
In this college level Algebra course, you will learn to apply algebraic reasoning to solve problems effectively. You'll develop skills in linear and
New problems are given each time the problem links are followed. A student can feel mathematically ready to attend College if he or she can get at least 33 out