Distributive Property and Combining Like Terms

Algebra 1B Curriculum

Review:

 Distributive Property and combining like terms  Solving multi-step equations with variables on both sides  Solving multi-step inequalities  Solving compound inequalities  Writing a linear equation in slope-intercept form  Plotting points and graphing horizontal and vertical lines  Finding the slope of a line  Graphing a line in slope-intercept form  Graphing a linear inequality

Chapter 5:

 Write an equation in slope-intercept form given:  the slope and y-intercept  any point and the y-intercept  the slope and any point  any two points  the graph of the line  Write an equation in point-slope form given:  the slope and any point  any two points  the graph of the line  Write an equation in standard form given:  any two points  the graph of the line  either the point-slope or slope-intercept form of the line  Parallel and perpendicular lines  Model an application with a linear equation  Find the (approximate) equation of a line of best fit

Chapter 7:

 Solving a linear system by graphing  Solving a linear system using the substitution method  Solving a linear system by adding/subtracting the equations  Solving a linear system using the elimination (i.e. linear combinations) method  Special types of linear systems (consistent, inconsistent, and dependent – using slope-intercept form to determine the number of solutions to the system)  Problem-solving with systems of equations  Solving a system of linear inequalities (graph and find the solution region using test points; determine if a given point is a solution by substituting into the inequalities or checking to see if it is in the shaded region)

Chapter 8:

 Multiplication properties of exponents  Division properties of exponents  Zero and negative exponents

Chapter 9:

 Approximating square roots (with and without a calculator) and expressions with square roots  Reducing radicals  Solving quadratic equations of the form x2 = d  Pythagorean Theorem

Chapter 10:

 Adding/subtracting polynomials; writing polynomials in descending order (degree of the polynomial)  Multiply polynomials:  distributing a monomial  multiplying binomials (by distribution first, then introduce FOIL)  multiplying a binomial and trinomial  Find the greatest common factor of polynomials  Factoring out the GCF of a polynomial  Factor polynomials of the form x2 + bx + c  Factor a difference of squares  Solving polynomials in factored form  Solving a polynomial by factoring

Chapter 11:

 Proportions (solving by cross products)  Solving a rational expression using cross products (introduce restricted values)  Reducing rational expressions  Multiplying/dividing rational expressions