Texas Success Initiative (TSI) Mathematics Assessment

Intermediate Algebra Sample Questions

Compiled by Abel L. Villarreal ACC Mathematics Adjunct Instructor/SAC Learning Lab Tutor Revised March 2017

Name page 1 of 3

Date TSI Assessment Intermediate Algebra Sample Questions (03/17)

Solve the following without the use of a calculator. 1. 4n – 3 < 12

2

3.

2n − 3 n + 1 = 5 4

0.5(2n + 6) = 0.2(8n – 10)

3

4.

3k = -2.4 5

4

2.

€

Completely factor the following. 5. 12n 3 – 8n 2 + 20n n 2 – 3n – 40 € 6. 7. 8n 4 – 18n 2 €

5 6 7

€

€Solve the following. 8. € n 2€– 5n = 24

9. €10.

8

n 2 – 6n = -8

9

6 2 1 − = n 3 2n

10

€

11.

€

1

n +8=n+1

11

Answer the following. 12. Simplify (4 12 ) • (- 3 6 )

12

13.

Multiply (n – 3) • (3n + 5)

13

14.

Multiply (2n – 3) • (n 2 – 4n + 7)

14

15.

Find the value of n.

15

€

A 20

8

16.

C 2n 3 + n 2 −11n + 12 Divide n+ 3

17.

Simplify €

n + 2 n2 – 5n + 6 • n2 − 4 n2 − 9

n

B

16 17

Name page 2 of 3

Date TSI Assessment Intermediate Algebra Sample Questions (03/17)

Answer the following without the use of a calculator. 18. Find a linear equation that is parallel to y = 2x – 5 and passes through (3, 4).

18

19.

Find a linear equation that is perpendicular to y = –2x + 3 and passes through (–2, –5).

19

20.

Solve the system of equations 3x – 2y = -2 -x + 3y = 3

20(

21.

Graph y = x 2 – 3 State vertex coordinates

22. Graph f(x) = 0.5(x – 3) 2 + 1 State vertex coordinates.

€

23. y > - 23 x – 2 y < 2x + 3

,

€

24. Graph y = x 2 – 3x – 4 State vertex coordinates. €

)

Name page 3 of 3

Date TSI Assessment Intermediate Algebra Sample Questions (03/17)

Answer the following without the use of a calculator. 25. The numerical quantity 3 20 • 2 200 can be simplified to ? .

25

26.

25

Given the rectangular € kitchen below. Write an expression for the area of the kitchen. Kitchen

(n + 4) units

(2n – 3) units 27.

State the domain and range of the function below. 27

28.

Complete the mapping for {(2, 3), (–1, 4), (0, 3), (5, 2), (1, 3)}. Is this mapping a function ? Yes or no.

28.

21.

vertex (0, –3)

22.

vertex (3, 1)

TSI Assessment Intermediate Algebra Sample Questions Key (03/17) 3 15 or n < 4 4

1.

n < 3.75 or n < 3

2.

17 2 n= or n = 5 or n ≈ 5.67 3 3 € € 25 1 n= or n = 8 or n ≈ 8.33 3 3 €

3. 4.

€

–4

5. €

4n(3n 2 –€ 2n + 5)

6.

(n – 8)(n + 5)

7. € 2n 2 (2n – 3)(2n + 3) 8. 8, – 3 9. €

4, 2

10.

33 1 or 8 or 8.25 4 4

11. €

12.

€ 13.

15 ± 29 ≈ 10.2, 4.81 2 € –72 2

2n 3 – 11n 2 + 26n – 21

15. €

4 21 or ≈ 18.33

16. €

2n€2 – 5n + 4

€

1 n+ 3

18.

y = 2x – 2

€ 19.

1 y= x–4 2

20. €

24.

vertex (1.5, –6.25)

3n 2 – 4n – 15

14. €

€17.

23.

(0, 1)

25.

120 10

26.

Area = 2n 2 + 5n – 12 units 2

27. €

domain = (–5, 9] range = [–3, 6)

28.

€ 2 -1 0 5 1

3 4 2

€

Yes