Name:
PLTL Review Test 1
MATH 0314
1.1 Real Numbers and Order of Operations
Simplify:
1. 12 ÷ 3 + (10 − 22 )
2. 6(𝑦 + 1) ÷ 6 + 5
Solve the equation:
3. 4𝑦 + 32 = 21
1.2 Exponents and Scientific Notation
Simplify. Your answer should have only positive
exponents.
4.
5.
𝑎4 2
(𝑏 6 )
4−2 𝑏 2 𝑎−3
𝑎𝑏 3
1.3 Radicals
Simplify:
6. √48
7. 5√3+4√3
1.4 Polynomials
Perform the operation and simplify:
8. (2𝑥 2 − 4𝑥 + 3) + (5𝑥 2 + 3𝑥 − 2)
9. (3𝑥 + 1)(2𝑥 − 1)
(𝑎 − 𝑏)(𝑎 + 𝑏)
10.
1.5 Factoring Polynomials
Factor:
11.
12.
13.
6𝑥𝑦 + 8𝑦 − 10𝑥 2 𝑦 2
𝑥 2 + 12𝑥 + 36
𝑥 2 − 81
1.6 Rational Expressions
Simplify the expression:
14.
15.
3
4
2
10
+𝑦
𝑥
+
𝑎
𝑏