Texas Tech, playing without starting center Esmir Rizvic, led 27-26 at halftime before building a 41-32 lead with about 10 minutes left in the game.
The Wildcats (10-6, 0-2) used a 9-0 spurt to cut the lead to two points, but Texas Tech coach Bob Knight quickly called a time-out that quieted the Bramlage Coliseum crowd. The Red Raiders scored immediately out of the break and slowly built their lead back up to 11 with just under 4 minutes to play.
Jackson was the catalyst, penetrating the lane to draw fouls and hitting short jump shots every time Kansas State threatened to get back in the game. The Big 12's third-leading scorer added seven rebounds, three assists and was 8-of-9 from the free throw line.
David Hoskins had 23 points on 7-of-13 shooting to lead the Wildcats, who have lost three in a row since winning the Las Vegas Holiday Classic in December. Leading scorer Cartier Martin was held to only six points on 2-of-11 shooting, and didn't hit his first field goal until the 10:29 mark of the second half.
It was only the third meeting between Knight and Kansas State coach Bob Huggins, who together have 1,459 career wins and rank first and seventh among active Division I coaches in victories. The two hadn't faced each other since Knight was at Indiana and Huggins at Cincinnati more than 14 years ago. Knight has won all three meetings by double digits.
Employing Knight's trademark man-to-man defense and harassing the Wildcats in the half court, Texas Tech held Kansas State without a field goal for nearly nine minutes in the first half.
The Red Raiders kept the pressure up throughout the second half, holding Kansas State to 30 percent shooting for the game. The Wildcats hit only 2-of-15 3-pointers and committed 14 turnovers.
Both teams were playing without major contributors who were injured in their Big 12 openers on Saturday.
Rizvic suffered a fractured eye socket during a 68-54 victory over Oklahoma. The 7-foot center, who was hit in the face by an elbow from Sooner forward Longar Longar, was scheduled to have surgery Monday and will likely miss the rest of the season.
Before the game, Huggins announced that talented freshman forward Bill Walker tore the anterior cruciate ligament in his left knee during a 69-65 loss at No. 8 Texas A&M. The Wildcats' third-leading scorer will undergo surgery in a week to 14 days and faces six to eight months of rehabilitation.