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Algebra ExamView
Version 33, changed by timf. 04/23/2007. Show version history
| ExamView Resources for Algebra |
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EV = ExamView Question Bank, PDF = Adobe pdf file, EOT = ExamView Online Test (Requires free ExamView Test Player)
MC = Multiple Choice, BI = Bi-Modal (Multiple Choice or Short Answer), NR = Numeric Response
| Alg1.0 Simplifying Expressions | ||
| Students … | ||
| 1AL 1.1 | EV PDF 8MC EOT |
Understand and use such operations as finding the opposite and finding the reciprocal. |
| 1AL 1.2 | EV PDF 16MC EV PDF 3MC |
Understand determining a root, simplifying a root (e.g. surds) and the meaning of a fractional power (rational exponents) and understand and use the rules of exponents( Index laws). |
| 1AL 1.3 | EV PDF 8BI EOT - SA or MC |
Simplify or evaluate linear expressions in one variable with integer, fraction and decimal coefficients. |
| 1AL 1.4 | EV PDF 16MC EOT - MC |
Solve equations and inequalities involving absolute value and know how to use both interval and number line notation. |
| Alg2.0 Linear Equations & Inequalities | ||
| 1AL 2.1 | EV PDF 4BI EOT SA or MC |
Graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4) using a table of points, a graph or an equation. |
| 1AL 2.2 | EV PDF 4MC | Are able to sketch the region defined by linear inequality (e.g. 2x + 6y < 4). |
| 1AL 2.3 | EV PDF 16TF |
Can verify that a point lies on a line, given an equation of the line. |
| 1AL 2.4 | EV PDF 4MC |
Solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. |
| 1AL 2.5 | EV PDF 8MC EV PDF 8MC EV PDF 20MC |
Are able to derive linear equations by using the point-slope formula. |
| 1AL 2.6 | EV PDF 6MC | Understand the concepts of parallel lines and perpendicular lines and how those slopes are related and are able to find the equation of a line passing through a point and parallel or perpendicular to a given line. |
| 1AL 2.7 | Know and apply the formula for the distance between two points and between a point and a line. | |
| Alg3.0 Linear Systems | ||
| 1AL 3.1 | Solve a system of two linear equations in two variables graphically. | |
| 1AL 3.2 | Solve a system of two linear equations in two variables algebraically using the elimination and substitution methods. | |
| 1AL 3.3 | Understand both algebraically and geometrically the three possible conclusions of a system of two linear equations in two variables (inconsistent, infinite and one solution). | |
| 1AL 3.4 | EV PDF 8MC+3NR EV PDF 2MC |
Solves real-world problems involving the solution of a system of two linear equations in two variables, including rate problems, work problems, and percent mixture problems. |
| Alg4.0 Polynomials | ||
| 1AL 4.1 | Add, subtract, multiply, and divide monomials and polynomials. Students solve multi-step problems, including word problems, by using these techniques. | |
| 1AL 4.2 | EV PDF 12MC+6NR |
Students apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials (see also 1AL 5.2) |
| 1AL 4.3 | Simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms. | |
| 1AL 4.4 | Add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques. | |
| Alg5.0 Quadratics | ||
| 1AL 5.1 | Solve a quadratic equation by factoring or completing the square. | |
| 1AL 5.2 | Know the quadratic formula and are familiar with its proof by completing the square. | |
| 1AL 5.3 | Use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. | |
| 1AL 5.4 | EV PDF 6MC |
Graph quadratic functions and know that their roots are the x- intercepts (zeros). |
| 1AL 5.5 | Determine the axis of symmetry of a quadratic and how the coefficients affect its position on a graph. | |
| 1AL 5.6 | Use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points. | |
| 1AL 5.7 | Apply quadratic equations to physical problems, such as the motion of an object under the force of gravity. | |
| Alg6.0 Functions | ||
| 1AL 6.1 | Understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions. | |
| 1AL 6.2 | Determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression. | |
| 1AL 6.3 | Determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion. | |
| Alg7.0 Algebraic Logic | ||
| 1AL 7.1 | Identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable. | |
| 1AL 7.2 | Use and know simple aspects of a logical
argument:
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| 1AL 7.3 | Use properties of the number system to
judge the validity of results, to justify each step of a procedure, and to
prove or disprove statements:
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