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
1/
3
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
1/
3
