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MAT 0057A Pre-College Math Modules-A (3) (D) Six hours lecture/lab per week. Prerequisite: MAT 0057. This course is designed to strengthen arithmetic, geometric, and algebra skills. Successful completion of this course requires mastery of the material in nine modules covering arithmetic, algebra through quadratic equations, radical expressions, and graphing techniques. MAT 0057A cannot be repeated. However, students who do not earn a grade of "A.", "B.", or "C." will be allowed to register in MAT 0057B.

**Student Learning Outcomes: **

Upon successful completion of this course, the student will be able to: 1.

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Add, subtract, multiply, and divide whole numbers, integers, fractions, and decimals. Round whole numbers and decimals to a specific place value. Simplify expressions involving whole numbers, integers, fractions, and decimals using the order of operations, including those with parentheses and exponents. 4.

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Evaluate algebraic expressions using substitution. Simplify algebraic expressions by combining like terms. Recognize proportional relationships and solve problems involving rates and ratios. Determine equivalent forms between fractions, decimals, and percents and compare using inequality symbols. Solve problems involving percentages. 9.

Calculate the mean, median, and mode of a set of numbers. 10.

Solve linear equations and inequalities, including those with fractions and decimals. 11.

Solve literal equations for a given variable. 12.

Solve application problems involving perimeter, area, and volume. 13.

Convert units of measurement within the same measurement system as well as across measurement systems. 14.

Graph linear equations using a table of values, intercepts, and slope intercept form. 15.

Identify the slope of a line from the slope formula, graph, and the equation. 16.

Determine the equation of a line in slope-intercept form or in standard form. 17.

Simplify expressions involving integer exponents. 18.

Add, subtract, multiply, and divide polynomials - division by monomials only. 19.

Convert between scientific notation and standard notation. 20.

Factor polynomial expressions. (GCF, grouping, trinomials, and the difference of two squares) 21.

Solve quadratic equations by factoring. 22.

Simplify, multiply, and divide rational expressions. 23.

Add and subtract rational expressions with monomial denominators. 24.

Simplify radical expressions - square roots only. 25.

Add, subtract, and multiply square root monomials. 26.

Rationalize the denominator of an expression involving the square root of a monomial. 27.

Solve problems involving the Pythagorean Theorem. Date of Original Submission: 1/26/14