UNIT I OBJECTIVES
1.
2.
3.
4.
5.
6.
7.
8.
9.a
9.b
10.
11.a
11.b
11.c
12.
13.a
13.b
14.
15.a
15.b
16.
17.
18.
19.
20.
21.
22.
Add, subtract, multiply, divide rational expressions; simplify. (Sec A5: Examples 1-6)
Simplify mixed quotients. (Sec A5: Example 7)
Simplify numbers raised to rational exponents. (Sec A6: Example 7)
Factor by grouping. (refer to your class notes; may also refer to Sec A3: Example 3f)
Factor and simplify an expression containing rational exponents. This includes removing a
common binomial factor and factoring with integer and non-integer exponents.
(Sec A6: Example 8d, 10)
Solve equations and linear inequalities algebraically. (refer to your class notes; may also refer to
Sec A1: Examples 12, 13a; Sec A2: pg. 980-981; Sec 1.3: Algebraic Solution of Examples 3, 5,
6, 7, 8, 10; Sec 1.5: Algebraic Solution of Examples 7,8)
Write inequalities in interval notation. This includes understanding the difference in the terms
“or” and “and”. (refer to your class notes; may also refer to Sec.1.5: pg. 52 and Example 1)
Recall and use the distance formula or midpoint formula. (Sec 1.1: Example 2, 5)
Graph equations by hand. (Sec 1.2: Example 1, 2, 9, 10)
Understand what it means for a point (a,b) to be on the graph of an equation.
(Sec 1.2: Homework 47-54)
Identify intercepts from a graph or from an equation. (Sec 1.2: Example 4, 5)
Look at a graph and determine symmetry with respect to the x-axis, y-axis, or origin.
(Sec 1.2: Figure 27; Homework 31-45)
Given a graph, draw the graph to make it symmetric with respect to the x-axis, y-axis, or origin.
(Sec 1.2: Homework 57-64)
Given a point on a graph, give the coordinates of a point that must also be on the graph if the
graph is symmetric with respect to the x-axis, y-axis, or origin. (Sec 1.2: Example 7)
Calculate and interpret slope. (Sec 1.6: Example 1)
Identify the slope and y-intercept from the equation of a line. (Sec 1.6: Example 7)
Graph lines by hand using the slope and y-intercept, or by using the x- and y- intercepts, or by
obtaining any two points. (Sec 1.6: Example 2, 3)
Find the equation of a horizontal or vertical line. (Sec 1.6: Example 3, 5)
Write the equation of a line given two points on the line or given a point and the slope.
(Sec 1.6: Example 6)
Write the equation for a linear relationship described in an applications problem.
(Sec 1.6: Homework 85, 87, 89)
Write the equation of a line that goes through a given point that is parallel or perpendicular to a
given line. (Sec 1.6: Example 9, 10, 11)
Identify the center and radius and graph a circle when given the equation in standard (centerradius) form. (Sec 1.7: Example 1, 2)
Identify the graph of a function; determine whether a relation represents a function.
(Sec 2.1: Example 1, 2, 7)
Find value of a function. (Sec 2.1: Example 4)
Find the domain and range of a function from a graph. (Sec 2.1: Example 8)
Find the domain of a function from the equation of the function. (Sec 2.1: Example 6)
Obtain information from and about the graph of a function. (Sec 2.1: Examples 8, 9)