Algebra I: High School
 Course type: Selfpaced
 Available Lessons: 163
 Average Lesson Length: 8 min

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chapter 1 / lesson 1Solving Word Problems: Steps & Examples
Course Summary
This common corealigned high school algebra course is designed to build and develop skills in essential algebraic concepts. The course includes short video lessons and interactive quizzes.to start this course today
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19 chapters in Algebra I: High School
Course Practice Test
Check your knowledge of this course with a 50question practice test. Comprehensive test covering all topics
 Detailed video explanations for wrong answers
About the Course
This Algebra I course is a foundation in algebraic principles and problemsolving skills. Students will learn how to understand and solve mathematical problems involving variables, ratios, inequalities and exponents. They will gain practice in simplifying expressions and choosing the best method for solving complex equations. The course is aligned to Common Core State Standards and it is designed to prepare students for advanced algebra and geometry.
Course Topics
 Word Problems  Interpreting and solving simple and multistep word problems
 Percent Notation  Converting between percent notation and both decimal and fraction notation
 Ratios, Proportions & Calculations  Solving problems including ratios, money, percents, combinations and permutations
 Real Numbers  Understanding the different types of numbers and an introduction to inequalities and absolute value
 Exponents and Exponential Expressions  Solving equations involving exponential expressions, including multiplying, dividing, rational exponents and negative exponents
 Radical Expressions  Understanding square roots, simplifying radical expressions and mathematical operations involving radical expressions
 Algebraic Expressions & Equations  Working with algebraic expressions and solving algebraic equations including linear, quadratic and polynomial equations
 Algebraic Distribution  Distributing constants, variables and signs in algebraic expressions
 Functions  Understanding functions, including domain, range, inverse functions and function operations
 Inequalities  Understanding inequalities, including absolute value inequalities, and graphing 1 and 2variable inequalities
 Linear Equations  Working with linear equations, including graphing, interpreting slope and solving systems of equations
 Factoring  Factoring involving numbers and variables, prime factorization and least common multiplies
 Quadratic Equations  Solving quadratic equations using the quadratic formula and solving quadratic inequalities
 Factoring & Graphing Quadratic Equations  Using FOIL, the area method and completing the square; graphing parabolas in standard, intercept and vertex form
 Polynomials  Operations with polynomials, including adding, subtracting, multiplying and dividing using both long and synthetic division
 Rational Expressions  Operations with rational expressions, including adding, subtracting, multiplying and dividing
 Matrices & Absolute Value  Understanding matrices and finding the determinant; solving and graphing absolute value equations
 Statistics & Probability  Calculating mean, median, mode and range; calculating probability with independent and dependent events; interpreting tables, schedules, bar graphs and pie charts
Assignments
Algebraic Expressions
 The temperature outside has dropped 13 degrees in the last two hours. If the temperature right now at 7:00 p.m. is 78 degrees, what was the temperature at 5:00 p.m?
 Tom builds tree houses for a living, but in the last three years, the cost of building a tree house has gone up 15% due to material costs rising. If three years ago, the cost of building a tree house was $500, how much will it cost Tom to build four tree houses this year?
 Simplify the following algebraic expression: 4x(x + 5y)  3(2xy  1)
 Solve the following equation for x: 8x + 3(4  2x) = 10
 Janet gets paid $40 for each time she babysits her neighbor's kids. She's been working hard lately to buy a necklace she's been wanting that costs $215. If she babysits the kids 5 times, will she have enough money to buy the necklace?
Inequalities
 Franco is collecting seashells. Right now, he has 12 seashells in his pocket. If he collects 3 more seashells a day, how many days will he have to collect seashells so he has at least 21 seashells?
 Solve and graph 2x + 6 ≥ 28
 Solve and graph 8 > 4  x ≥ 1
 Solve and graph the system of inequalities, labeling each equation on the graph: 2y  3 ≤ 4x + 1; 4y + 8 > 8; x < 1
 Solve and graph y < x  3 + 2
 Create your own inequality using a realworld scenario from your life. For example, 'My goal is to make at least $100 by selling Girl Scout cookies at $4 a box. So far, I've sold 10 boxes.' The inequality for this situation would look like: 40 + 4x ≥ 100.
Graphing & Factoring Quadratic Equations
 Identify the vertex of this parabola: y = 3(x + 5)2  6
 Rewrite this equation in intercept form: y = 3x2 + 6x  24
 Use the area method to find the product: (7x + 2)(4x  4)
 Factor: x2 + 3x  28
 Factor: 3x3  3x2  60x
 Factor and solve for p: 4p2 + 23p  6 = 0
 Factor and solve for x: 3x2  8 = 10x
 Rewrite this equation in vertex form: y  3 = x2 + 6x  1
Matrices & Absolute Values
 Find the determinant:
 Find the determinant:
 Solve for x: 2x + 7 = 13
 Solve for x: 32x  6  1 = 13
 Identify the vertex of this absolute value graph: y = x + 7
 Write the equation of the absolute value graph:
 Write the equation of the absolute value graph:
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