PMT
ALGEBRA
1 Evaluate
1 4
a 49 b 121 c 9
d 25
e 0.01 f 0.09
3 3 4 3
g 8 h 1000 i 81 j 1 169 k 0.125 l 3 15 5
8
2 Simplify
a 7 × 7 b 4 5 × 5 c (3 3 )2 d ( 6 )4
e ( 2 )5 f (2 3 )3 g 2 × 8 h 2 3 × 27
32 3
i j k ( 3 6 )3 l (3 3 2 )3
2 12
3 Express in the form k 2
a 18 b 50 c 8 d 98 e 200 f 162
4 Simplify
a 12 b 28 c 80 d 27 e 24 f 128
g 45 h 40 i 75 j 112 k 99 l 147
m 216 n 800 o 180 p 60 q 363 r 208
5 Simplify
a 18 + 50 b 48 − 27 c 2 8 + 72
d 360 − 2 40 e 2 5 − 45 + 3 20 f 24 + 150 − 2 96
6 Express in the form a + b 3
a 3 (2 + 3) b 4− 3 − 2(1 − 3) c (1 + 3 )(2 + 3)
d (4 + 3 )(1 + 2 3 ) e (3 3 − 4)2 f (3 3 + 1)(2 − 5 3 )
7 Simplify
a ( 5 + 1)(2 5 + 3) b (1 − 2 )(4 2 − 3) c (2 7 + 3)2
d (3 2 − 1)(2 2 + 5) e ( 5 − 2 )( 5 + 2 2 ) f (3 − 8 )(4 + 2)
8 Express each of the following as simply as possible with a rational denominator.
1 2 1 14 3 2 5
a b c d e f
5 3 8 7 3 15
1 12 1 3 4 20 3 175
g h i j k l
3 7 72 80 2 54 3 18 2 27
Solomon Press
ALGEBRA
1 Evaluate
1 4
a 49 b 121 c 9
d 25
e 0.01 f 0.09
3 3 4 3
g 8 h 1000 i 81 j 1 169 k 0.125 l 3 15 5
8
2 Simplify
a 7 × 7 b 4 5 × 5 c (3 3 )2 d ( 6 )4
e ( 2 )5 f (2 3 )3 g 2 × 8 h 2 3 × 27
32 3
i j k ( 3 6 )3 l (3 3 2 )3
2 12
3 Express in the form k 2
a 18 b 50 c 8 d 98 e 200 f 162
4 Simplify
a 12 b 28 c 80 d 27 e 24 f 128
g 45 h 40 i 75 j 112 k 99 l 147
m 216 n 800 o 180 p 60 q 363 r 208
5 Simplify
a 18 + 50 b 48 − 27 c 2 8 + 72
d 360 − 2 40 e 2 5 − 45 + 3 20 f 24 + 150 − 2 96
6 Express in the form a + b 3
a 3 (2 + 3) b 4− 3 − 2(1 − 3) c (1 + 3 )(2 + 3)
d (4 + 3 )(1 + 2 3 ) e (3 3 − 4)2 f (3 3 + 1)(2 − 5 3 )
7 Simplify
a ( 5 + 1)(2 5 + 3) b (1 − 2 )(4 2 − 3) c (2 7 + 3)2
d (3 2 − 1)(2 2 + 5) e ( 5 − 2 )( 5 + 2 2 ) f (3 − 8 )(4 + 2)
8 Express each of the following as simply as possible with a rational denominator.
1 2 1 14 3 2 5
a b c d e f
5 3 8 7 3 15
1 12 1 3 4 20 3 175
g h i j k l
3 7 72 80 2 54 3 18 2 27
Solomon Press
