Math 152A Exam Review Covering Chapter 2 Sections 3-8; Chapter 3 Sections 1 & 2

Exam is Monday, May 18

Turn in this sheet on Monday, with problems worked out as practice for your exam.

 

I Chapter 2 Material, sample problems & vocab:

 

Solve:    5/3(x) + 4 - 2/3(x)                               3(2-z)   = z   

                                                                             5

 

 

A 12-foot board is to be divided into two pieces so that one piece is twice as long as the other.  If x represents the length of the shorter piece, find the length of each piece.

 

 

Solve for s:  r = vst-5

 

 

A recent survey shows that 66.9% of Puerto Ricans have a  pet dog.  If San Juan has 76,000 how many people in that city would you expect to have dogs?

 

 

List your own general strategy for when you have to write an equation to solve a word-problem.

 

 

Suppose Lance Armstrong rides his bicycle up a Category 2 climb at 6 miler per hour, and rides back down the same route at 30 miles per hour.  Find his total distance, if the round trip took him exactly 3 hours.

 

 

Solve and graph the solution set.  Write your solution in interval notation: 2<3x-4<6

 

-5x > 20

 

 

 

I Chapter 3 Material:

Plot the ordered pairs on a coordinate system:  (0,0); (5,3); (1,-2); (-2, -5); (0, - 11/2)

Be sure to label your axes and origin.

 

Is (1, -5/2) a solution to the equation x-2y=6?  For credit, show your work.

 

 

Be prepared to answer a question based upon a bar or line graph like those on page 176.

 

 

Know definitions for:  Equation, expression, a Linear inequality in one variable;  a linear equation in two variables, Slope-intercept form,

 

 

 

Be able to graph an equation like -5x+3y= 15, or y= -1/2(x) + 3

 

 

 

The graph of y=mx+b crosses the y-axis at ____________________

 

Combined vocabulary and definitions from both chapters 2&3:

 

Equation, expression, Be able to state both properties of Equality (P. 144) Compound inequality, x- and y-intercepts.