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| Chapter 1: Variables and Expressions |
| Objective 1: Translate verbal expressions into mathematical expressions and vice versa. |
| Objective 2: Evaluate expressions using the order of operations. |
| Objective 3: Solve open sentences by performing arithmetic operations. |
| Objective 4: Use mathematical properties to evaluate expressions. |
| Chapter 2: Exploring Rational Numbers |
| Objective 1: Graph rational numbers on the number line. |
| Objective 2: Add and subtract rational numbers. |
| Objective 3: Compare and order rational numbers. |
| Objective 4: Multiply and divide rational numbers. |
| Objective 5: Find the principal square root of a number. |
| Chapter 3: Solving Linear Equations |
| Objective 1: Solve linear equations with addition and subtraction. |
| Objective 2: Solve linear equations with multiplication and division. |
| Objective 3: Solve linear equations using one or more operations. |
| Objective 4: Solve problems that can be represented as equations. |
| Objective 5: Solve proportions that have a missing part. |
| Objective 6: Use proportions to solve percent problems. |
| Chapter 4: Graphing Relations and Functions |
| Objective 1: Graph ordered pairs and relations. |
| Objective 2: Identify the domain, range, and the inverse of a relation. |
| Objective 3: Determine the range for a given domain of a relation. |
| Objective 4: Graph linear equations. |
| Objective 5: Determine whether a relation is a function, and find a value for a given function. |
| Chapter 5: Analyzing Linear Equations |
| Objective 1: Determine the slope given a line on a graph or two points on the line. |
| Objective 2: Write the equation of a line in standard form given two points on the line. |
| Objective 3: Draw a best-fit line, and find the equation of the best-fit line for a scatter plot. |
| Objective 4: Write linear equations in slope-intercept form to find the slope, x-intercept, and y-intercept, and sketch the graph. |
| Objective 5: Use the slope of lines to determine if two lines are parallel or perpendicular. |
| Chapter 6: Solving Linear Inequalities |
| Objective 1: Solve and graph the solution set of inequalities with addition and subtraction. |
| Objective 2: Solve and graph the solution set of inequalities with multiplication and division. |
| Objective 3: Solve and graph the solution set of inequalities using more than one operation. |
| Objective 4: Solve and graph the solution set of compound inequalities and inequalities involving absolute value. |
| Objective 5: Graph inequalities in the coordinate plane. |
| Chapter 7: Solving Systems of Linear Equations and Inequalities |
| Objective 1: Solve systems of equations by graphing. |
| Objective 2: Determine whether a system of equations has one solution, no solutions, or infinitely many solutions. |
| Objective 3: Solve systems of equations using the substitution method. |
| Objective 4: Solve systems of equations by eliminating one variable. |
| Objective 5: Solve systems of inequalities by graphing. |
| Chapter 8: Exploring Polynomials |
| Objective 1: Multiply and divide monomials and simplify expressions. |
| Objective 2: Write numbers in scientific notation and find products and quotients of these numbers. |
| Objective 3: Add and subtract polynomials and express the answer so the powers of the terms are in descending order. |
| Objective 4: Multiply a polynomial by a monomial and arrange the terms in descending order by powers. |
| Objective 5: Multiply two binomials and simplify the expressions, including special products of (a + b)(a + b) and (a + b)(a – b). |
| Chapter 9: Exploring Polynomials |
| Objective 1: Find the greatest common factor through prime factorization for integers and sets of monomials. |
| Objective 2: Use the greatest common factor and the distributive property to factor polynomials with the grouping technique, and use these techniques to solve equations. |
| Objective 3: Factor quadratic trinomials of the form ax2 + bx + c, and solve equations by factoring. |
| Objective 4: Factor quadratic polynomials that are perfect squares or differences of squares, and solve equations by factoring. |
| Objective 5: Solve quadratic equations by completing the square. |
| Chapter 10: Exploring Quadratic and Exponential Functions |
| Objective 1: Graph parabolas, and find the coordinates of the vertex and axis of symmetry. |
| Objective 2: Estimate the roots of a quadratic equation by graphing the associated function. |
| Objective 3: Solve quadratic equations by factoring or using the quadratic formula. |
| Objective 4: Graph exponential functions, and solve problems using the graphs. |
| Chapter 11: Exploring Rational Expressions and Equations |
| Objective 1: Simplify rational expressions. |
| Objective 2: Multiply and divide rational expressions. |
| Objective 3: Divide a polynomial by a binomial. |
| Objective 4: Add and subtract rational expressions. |
| Objective 5: Solve rational expressions. |
| Chapter 12: Exploring Radical Expressions and Equations |
| Objective 1: Simplify and perform operations with radical expressions. |
| Objective 2: Solve equations with radical expressions. |
| Objective 3: Use the Pythagorean theorem to solve problems. |
| Objective 4: Find the distance between two points in the coordinate plane. |
| Objective 5: Find the unknown measures of the sides of similar triangles. |