How to: Check Failed SQL Server Agent Jobs for Last 7 Days

-- Variable Declarations 
DECLARE @PreviousDate datetime 
DECLARE @Year VARCHAR(4) 
DECLARE @Month VARCHAR(2) 
DECLARE @MonthPre VARCHAR(2) 
DECLARE @Day VARCHAR(2) 
DECLARE @DayPre VARCHAR(2) 
DECLARE @FinalDate INT 

-- Initialize Variables 
SET @PreviousDate = DATEADD(dd, -7, GETDATE()) -- Last 7 days  
SET @Year = DATEPART(yyyy, @PreviousDate)  
SELECT @MonthPre = CONVERT(VARCHAR(2), DATEPART(mm, @PreviousDate)) 
SELECT @Month = RIGHT(CONVERT(VARCHAR, (@MonthPre + 1000000000)),2) 
SELECT @DayPre = CONVERT(VARCHAR(2), DATEPART(dd, @PreviousDate)) 
SELECT @Day = RIGHT(CONVERT(VARCHAR, (@DayPre + 1000000000)),2) 
SET @FinalDate = CAST(@Year + @Month + @Day AS INT) 

-- Final Logic 
SELECT   j.[name], 
         s.step_name, 
         h.step_id, 
         h.step_name, 
         h.run_date, 
         h.run_time, 
         h.sql_severity, 
         h.message, 
         h.server 
FROM     msdb.dbo.sysjobhistory h 
         INNER JOIN msdb.dbo.sysjobs j 
           ON h.job_id = j.job_id 
         INNER JOIN msdb.dbo.sysjobsteps s 
           ON j.job_id = s.job_id
           AND h.step_id = s.step_id
WHERE    h.run_status = 0 -- Failure 
         AND h.run_date > @FinalDate 
ORDER BY h.instance_id DESC 

Scripts obtain from:
http://www.mssqltips.com/sqlservertip/1054/failed-sql-server-agent-jobs/