List of Objectives
MAT 099: Intermediate Algebra
(1) Unit 1:
(a) Section 1.2
(i) Identify and evaluate algebraic expressions.
(ii) Find the absolute value of a number.
(iii) Find the opposite of a number.
(iv) Write phrases as algebraic expressions.
(b) Section 1.3
(i) Add and subtract real numbers.
(ii) Multiply and divide real numbers.
(iii) Evaluate expressions containing exponents.
(iv) Find roots of numbers.
(v) Use the order of operations.
(vi) Evaluate algebraic expressions.
(c) Section 1.4
(i) Use operation and order symbols to write mathematical sentences.
(ii) Identify identity numbers and inverses.
(iii) Identify and use the commutative, associative, and distributive properties.
(iv) Write and simplify algebraic expressions.
(d) Section 2.1
(i) Solve linear equations using properties of equality.
(ii) Solve linear equations that can be simplified by combining like terms.
(iii) Solve linear equations containing fractions or decimals.
(e) Section 2.2
(i) Identify and evaluate algebraic expressions.
(ii) Write algebraic expressions that can be simplified.
(iii) Apply the steps for problem solving.
(2) Unit 2
(a) Section 2.3
(i) Solve a formula for a specified variable.
(ii) Use formulas to solve problems.
(b) Section 2.4
(i) Use interval notation.
(ii) Solve linear inequalities using the multiplication and the addition properties of inequality.
(iii) Solve problems that can be modeled by linear inequalities.
(c) Section 3.1
(i) Plot ordered pairs.
(ii) Determine whether an ordered pair of numbers is a solution to an equation in two variables.
(iii) Graph linear equations.
(iv) Graph nonlinear equations.
(d) Section 3.2
(i) Identify functions.
(ii) Use the vertical line test for functions.
(iii) Use function notation.
(iv) Define relation, domain and range.
(v) Find the domain and range of a function.
(3) Unit 3
(a) Section 3.3
(i) Graph vertical and horizontal lines.
(ii) Graph linear functions.
(iii) Graph linear functions by finding intercepts.
(b) Section 3.4
(i) Find the slope of a line given two points on the line.
(ii) Find the slope as a ratio of vertical change to horizontal change.
(iii) Compare the slopes of parallel and perpendicular lines.
(c) Section 3.5
(i) Use the slope-intercept form to write the equation of a line.
(ii) Graph a line using its slope and y-intercept.
(iii) Use the point-slope form to write the equation of a line.
(iv) Write equations of vertical and horizontal lines.
(d) Section 5.1
(i) Use the product rule for exponents.
(ii) Simplify expressions raised to the 0 power.
(iii) Use the quotient rules for exponents.
(iv) Simplify expressions raised to the negative nth power.
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(e) Section 5.2
(i) Use the power rules for exponents.
(ii) Use exponent rules and definitions to simplify exponential expressions.
(4) Unit 4
(a) Section 5.3
(i) Identify polynomial terms and degrees of terms and polynomials.
(ii) Define polynomial functions.
(iii) Add polynomials.
(iv) Subtract polynomials.
(v) Recognize the graph of a polynomial function from the degree of the polynomial.
(vi) Combine like terms.
(b) Section 5.4
(i) Multiply two polynomials, including binomials.
(ii) Square binomials.
(iii) Multiply the sum and difference of two terms.
(iv) Evaluate polynomial functions.
(c) Section 5.5
(i) Identify the GCF.
(ii) Factor out the GCF of a polynomial’s terms.
(iii) Factor polynomials by grouping.
(d) Section 5.6
(i) Factor trinomials of the form x2 + bx + c.
(e) Section 5.7
(i) Factor a perfect square trinomial.
(ii) Factor the difference of two squares.
(f) Section 5.8
(i) Solve polynomial equations by factoring.
(ii) Solve problems that can be modeled by polynomial equations.
(iii) Find the x-intercepts of a polynomial function.
(5) Unit 5
(a) Section 6.1
(i) Use rational expressions in applications.
(ii) Find the domain of a rational expression.
(iii) Simplify rational expressions.
(iv) Multiply rational expressions.
(v) Divide rational expressions.
(vi) Divide and multiply in the same rational expression.
(b) Section 6.2
(i) Add or subtract rational expressions with common denominators.
(ii) Identify the least common denominator (LCD) of two or more rational expressions.
(iii) Add or subtract rational expressions with unlike denominators.
(c) Section 7.1
(i) Find square roots.
(ii) Find cube roots.
(iii) Find nth roots.
(iv) Find the nth root of an , where a is a real number.
(v) Find function values of square and cube roots.
(d) Section 7.2
(i) Understand the meaning of a(1/n) .
(ii) Understand the meaning of a(m/n) .
(iii) Understand the meaning of a(−m/n) .
(iv) Use rules for exponents to simplify expressions that contain rational exponents.
(v) Use rational exponents to simplify radical expressions.
(6) Unit 6
(a) Section 7.3
(i) Use the product rule for radicals.
(ii) Simplify radicals.
(b) Section 7.4
(i) Add or subtract radical expressions.
(ii) Multiply radical expressions.
(c) Section 7.5
(i) Rationalize denominators having one term.
(ii) Rationalize denominators having two terms.