MAT037A Beginning Algebra – Part A
To prepare for
Unit IIITest on Graphs of Linear Equations and Systems
The student will be able to…
- Find ordered pairs that are solutions to linear equations and determine if they are correct. Workbook practice set 4.1, 9 – 10
- Graph linear equations of the form and by using a table of values. Workbook practice sets 4.1, 11 – 15
4.2, 6 – 10
- Find the slope of a line that passes through two given points and understand that slope is a rate of change.
- Workbook practice set 4.3, 1 – 12
- Graph a line that passes through a given point and has a given slope.
- Workbook practice set 4.4, 5 – 11
- Determine whether two given lines are parallel or perpendicular.
- Workbook practice set 4.3, 13 – 15
- Determine the x and y intercepts of linear equations.
- Workbook practice set 4.2, 1 – 5
- Solve application problems involving linear equations.
(See textbook for applications – found throughout chapter 4)
- Solve a system of two linear equations with two unknowns by graphing.
- Workbook practice set 5.1, 5 – 14
From the main text book:
“Mid-Chapter Checkpoint” (chap.4) pages 264 – 265, Problems 1 – 20
(chap.5) pages 317, Problems 1 – 3
“Chapter Review” (chap.4) pages 285 – 286, Problems 1 – 44
(chap.5) pages 337 – 338, Problems 1 – 14, 43, 45, 46
The tests for this course in the testing center are on YELLOW paper.
MAT 037 – Test 3 Review
Find the slope for each pair of points.
1)(2,4 ) (–3, 1)2) (–4, 2) (3, –1)3) (–8, 3) (–8, 1)
4)Which ordered pair is a solution of the system: x + y = –3 and 2x + y = 1
a)(4, –7)b) (4, 7)
5)Property taxes have continues to increase year after year. In 1980 a home’s taxes were $1200, and that same home’s taxes were $2300 in 2002. If x represents the year and y the real estate tax, calculate the slope and explain the meaning of your answer.
Determine if the two lines containing the pairs of points are parallel, perpendicular, or neither.
6)(3, 2) (1,1) and (1, 5) (0, 3)
7)(5, 2) (3, 4) and (–3, 5) (–1, 3)
Identify the x- and y-intercepts.
8)2x + y = –6
9)5y = 10x + 4
10)–4x – 3y = 6
Graph the following equations. Identify the slope and y-intercept.
11)x – 2y = 812) 3x – 4y = 713) y = – x + 10
Find the missing coordinates for the following line: 2x – y = 1
14)(–2, y)15) (x, –3)16) (0, y)17) (x, 0)
18) Your cell phone contract has a base charge of $10 per month and a $0.03 per-minute charge for nationwide calling.
What is the rate of change?
Determine if the following systems of equations have a solution (intersection), no solution, or infinite solution. (Try getting each equation in slope-intercept form first.)
19)2x + y = 320) x + 2y = 621) 2x + y = –3
3x – 2y = 8 x + 2y = 2 y = –2x – 3
Find a point on the line that:
22)Is parallel to y = 3x + 7 and goes through (0, –4)
23)Is perpendicular to 15x + 5y = 20 and goes through the origin
Identify the x- and y-intercepts.
24)A line that is parallel to the x-axis and intersects the y-axis at 11.
25)A line that is perpendicular to the x- axis and intersects the x-axis at –5.
26)A line that crosses the y-axis at –7 and the x-axis at 7.
Identify the rate of change.
27)John bought gas and paid $1.45 per gallon. His car took 10 gallons and he paid with a twenty-dollar bill. His change was $5.50.
28)When trying to figure out the total cost of her car rental, Georgia used the formula y = 0.15x + 25, where x is the total number of miles and y is the total cost. She drove 125 miles over 4 days.