TSI Assessment Practice (Math) Problems and Complete Solutions

TSI Assessment Practice (Math) Problems and Complete Solutions 1. If 3t−7=5t, then 6t= If 3t − 7 = 5t , then 5t − 3t = -7 , and 2t = −7. Therefore, 6t = (3)(2t=) −(3)(−=7) 21. 2. The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9 ? 3. In the xy -plane above, point C has coordinates (6, 9). What is an equation of the line that contains points O and C ? 4. There are 3x − 2 trees planted in each row of a rectan- gular parcel of land. If there are a total of 24x −16 trees planted in the parcel, how many rows of trees are there in the parcel? 5. A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered? 6. Which of the following equations has both 1 and −3 as solutions? A. x^2 −2x−3=0 B. x^2 +2x−3=0 C. x^2 −4x+3=0 D. x^2+4x+3=0 7. In the xy -plane, what is the y -intercept of the graph of the equation y = 2(x+ 3)(x− 4)? 8. x^4 −1= 9. (3x^2y^3^)3= 10. If square root 5−x=4, then x= 11. If x−1=20, then x= x