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MATH 001 Quiz: Algebra & Radicals

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Prince Sultan University
PYP Department / Mathematics
MATH 001-Quiz 1(P.1, P.2 & P.3)
Date: 8th February, 2023
Student Name: ____________________________________________
Student ID: __________________
Section No.: _________________
Q.1: Write the final answer only in the following table
#
1
2
Question
Evaluate the following expression:
|𝑥 − |𝑦||
𝑥2 + 𝑦2
when 𝑥 = −4, 𝑦 = −6
Simplify the radical
√160𝑥 3
(1 point each)
Answer
√4𝑥
3
4
Simplify the following
3
𝑥 2 𝑦 −4𝑧 3
( −2 −2 −3)
𝑥 𝑦 𝑧
Rationalize the denominator for
−3
√5
1
Prince Sultan University
PYP Department / Mathematics
MATH 001-Quiz 1(P.1, P.2 & P.3)
Date: 8th February, 2023
Q.2: Circle the correct answer.
(1 point each)
1) Simplify the algebraic expression
16𝑥 −3𝑦 −4
4𝑥 −7𝑦 −3
A)
8𝑥 8
𝑦9
B)
4𝑥 4
𝑦
C)
4𝑦 9
𝑥8
D)
8𝑦 4
𝑥3
2) Simplify the radical √3𝑥 2 ∙ √6𝑥
A) 3|𝑥|√2𝑥
B) 3|𝑥|√2
C) 3𝑥 2 √2𝑥
D) 3|𝑥|√2𝑥 2
Q3: Simplify each algebraic expression.
(i) 2(3𝑦 − 2) − (5 − 6𝑦)
(ii)
9 − 3[2 − (4𝑥 + 5)] + 6𝑥
(1 point)
(1 point)
2
Prince Sultan University
PYP Department / Mathematics
Q4:
A. Rationalize the denominator
MATH 001-Quiz 1(P.1, P.2 & P.3)
Date: 8th February, 2023
(1.5 point)
14
√6 − 4
B. Use the absolute value to find the distance between the given numbers. (1 point)
(Show the steps)
19 and −8
C. Simplify:
(1 point)
√80𝑥 3
√20𝑥 −2
3
Prince Sultan University
PYP Department / Mathematics
MATH 001-Quiz 1(P.1, P.2 & P.3)
Date: 8th February, 2023
D. Simplify the following.
4√12𝑥 2 − 5√27𝑥 2 ,
where 𝑥 ≥ 0
(1.5 points)
E. Simplify
(2 points)
−3
2 𝑥 −3 𝑦 5
( 9 2 )
𝑥 𝑦
4
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