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Algebra I
5^th 6wks Review

(1) Rewrite using exponents: (0.52)(0.52)(0.52)(0.52)

[A] (5.2)6

[B] 6(0.52)

[C] (0.52)4

[D] (0.52)-4

(2) Evaluate: (-8)²

[A] -16

[B] 64

[C] -64

[D] 16

(3) Evaluate: x �x^-5

[A] [1/(x5)]

[B] x4

[C] [1/(x4)]

[D] x5

(4) Find the unknown length.

[A] 9

[B] 18

[C] 12

[D] 8

(5) DABC is a right triangle with hypotenuse c and legs of length a and b. If b = 8 and c = 10, then a = ? .

[A] 9

[B] 6

[C] 2

[D] 18

(6) Write in decimal notation: 530 �10^-5

[A] -53,000,000

[B] 0.0053

[C] 0.00053

[D] 53,000,000

(7) Rewrite using only positive exponents: 3ab^-4c^-3

[A] [3a/(b4c3)]

[B] [(3ab4)/(c3)]

[C] [1/(3ab4c3)]

[D] [(c3)/(3ab4)]

(8) Simplify and give your answer in exponential form: (8⁴ �5²)⁴

[A] 4010

[B] 816 �58

[C] 4024

[D] 88 �56

(9) Evaluate when x = 3 and y = 5: y² - x²

[A] 19

[B] 16

[C] -16

[D] 4

(10) Write 2,600,000 in scientific notation.

[A] 260 �104

[B] 0.26 �107

[C] 26 �105

[D] 2.60 �106

(11) Rewrite using only positive exponents and simplify 4^-3.

[A] -[1/12]

[B] [1/12]

[C] -[1/64]

[D] [1/64]

(12) Simplify:

c-9d-7 e-6

[A] -[(c9d7)/(e6)]

[B] [(e6)/(c9d7)]

[C] -[(e6)/(c9d7)]

[D] c9d7e6

(13) Evaluate the expression:

� � � 2 3 � � � 4 �

[A] [16/81]

[B] [2/2187]

[C] 8/3

[D] 144

(14) Which set of side lengths cannot form a right triangle?

[A] 7mm, 8mm, 10mm

[B] 12mm, 16mm, 20mm

[C] 6mm, 8mm, 10mm

[D] 3mm, 4mm, 5mm

(15) Evaluate: (6.8)⁰

[A] 0.68

[B] 6.8

[C] 1

[D] 0

(16) Simplify:

� � � f3 g2 � � � 4 �

[A] [(f12)/(g2)]

[B] [(f7)/(g6)]

[C] [(f12)/(g8)]

[D] f12 + g8

(17) Evaluate:

� � � 1 10 � � � -3 �

[A] 1000

[B] -1000

[C] -[1/10]

[D] [1/1000]

(18) Simplify: (-4pq⁴r⁶)⁴

[A] -256p4q16r24

[B] 256p4q16r24

[C] -256p5q8r10

[D] 256p5q8r10

(19) Rewrite using only positive exponents and simplify: 5^-4

[A] [1/20]

[B] [1/625 ]

[C] -[1/20]

[D] -[1/625]

(20) Evaluate when x = 3 and y = 4: x⁰y^-2

[A] [1/16]

[B] 0

[C] [1/27]

[D] -8

Answers: (1) [C], (2) [B], (3) [C], (4) [C], (5) [B], (6) B, (7) [A], (8) [B], (9) [B], (10) [D], (11) [D], (12) [B], (13) [A], (14) [A], (15) [C], (16) [C], (17) [A], (18) [B], (19) [B], (20) [A].