Rutgers University New Brunswick Math Placement Test Prep| Questions with worked out Answers

Name ________________________________________________ Date __________________________
Rutgers Univ ersity: Math Placement Pr actice Test
1.
Use the listing method or set-builder notation t o recogniz e the sets below .
A = {3, 6, 9, 12, 15}
B = {
is an e ven integer between 8 and 30}𝑥 | 𝑥
C = {17, 19, 21, . . . , 29}
2.
Evaluate the numerical expr ession b y using or der of oper ations.
8+4(7−2)=8+4(5)
3.
Add, subtr act, multiply , or divide.
a.
b.
c.−6+3−6+(−3)−6−(−3)=−6+3
d.
e.
f.−6−3−6(−3)−6−3
g.
h.8−5(−3)=8+15−6(−3)−6−3=18−9
i.6−2[4−3(2−5)=6−2[4−3(−3)] 4. Find the prime fact orization of each natur al number .
a.
b.25271
5. Understand and e valuate algebr aic expr essions inv olving exponents:
a.
Write without exponents:−𝑥2𝑦3
b.
Write with exponents:2𝑥𝑥𝑥+3𝑥𝑥𝑥𝑥
c.
Evaluate: i.
ii.−62 (−6)2
6. Evaluate:
for
x
= 2 and
y
= -1𝑥𝑦2−(𝑥−𝑦)3
7. Distinguish between terms and fact ors:
a.
b.𝑥+𝑦+𝑧𝑥𝑦𝑧
8. Use the distributiv e proper ty to multiply out, fact or, and combine lik e terms.
a.
Multiply out.3𝑥(𝑥2−5𝑥)
b.
Factor.14𝑥+28𝑦−7
c.
Combine lik e terms.3𝑥2−5𝑥−𝑥2+2𝑥