Compiled by Abel L. Villarreal ACC Mathematics Adjunct Instructor/SAC Learning Lab Tutor Revised November 2016
Name page 1 of 2 TSI Assessment Elementary Algebra Sample Questions (11/16) Translate into an algebraic expression. 1. “Twice a number k, decreased by five”
1
Calculate the following without the use of a calculator. 2. (12 – 8) 2 – 12 ÷ 4 2 3.
36 + 18 ÷ 3 – 4 2
3
Given€ a = –3, b = 4, c = 2.5, evaluate the following without a calculator. 4. 2a + 3b€ 4 5.
3c 2 – 4a + b
5
6.
2(a – b) 2 + c
6
€ Simplify the following. € 7. 4n – 3y + 2n – 8y
7
8.
5(2a – 3y) + y – 4a
8
9.
3n 2 – 4n + 5 – 2(n 2 + 3n – 1)
9
10.
3n(n 2 + 4n + 1) + 3n 2 + 5n – 8
10
€
€
Solve the following without the use of a calculator. € 11.€ n – 5 = 8
11
12.
2n + 3 = 15
12
13.
18 – 4n = 2n + 10
13
14.
3n + 8 = 5(n – 5) + 6
14
15.
2n 4 = −5 6
15
16.
3(2n – 6) + 10 > 5n – 8
16
–6 < 2n + 4 < 18
17
€ 17.
Name page 2 of 2 TSI Assessment Elementary Algebra Sample Questions (11/16) Simplify. 18. (5a 2 ) • (−3a3 ) • a
€
3 2
19.
(−2n )
20.
(−18a ) • (−4 a ) 2 • (9a )
3 2
21.
20
4
2 3
3
€
19
• 4n 2
2
€
18
(2k ) • (−5k )
21
200k
Answer the following without the use of a calculator. 22. Find the slope between (–3, 5) and (4, 8) €
22
23.
Find the slope for the equation 2x + 3y = 8.
23
24.
35% of what number is 42 ?
24
25.
Simplify (1.6 x 10 5 ) • (4.8 x 10 −3 )
25
26.
If 3 U.S. dollars = 27 Mexican pesos, then 3500 pesos = ? .
26
27.
Graph 2y – 3x = 6
€
€
TSI Assessment Elementary Algebra Sample Questions Key (11/16) €
22.
3 7
23.
−2 3
24.
120
1.
2k – 5
2.
13
€ 25.
3.
26
26.
≈ $388.89 dollars
4.
6
27.
y=
5.
34.75
6.
100.5
7.
6n – 11y
8.
6a – 14y
9.
n 2 – 10n + 7
10.
3n 3 + 15n 2 + 8n – 8
€
13
12. €
6€
13.
n ≈ 1.33 or
14.
27 1 or 13 or 13.5 2 2 € € 2 −5 –1 or ≈ –1.67 3 3 €
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