Download 3.4 10 × Write in scientific notation. 0.00087 A - miami-best-math

PITAGORAS ARROYO
MATH CLASSES & GENERAL TUTORING
10384 WEST FLAGLER ST.
305-227-2928
NAME
PRE-ALGEBRA
Write in scientific notation.
34,000
DATE
Write in scientific notation.
0.00087
A: 8.7 ×10−4
A: 3.4 ×104
Write in standard form.
2.5 ×106
Write in scientific notation.
286
Write in standard form.
2.9 ×10−3
A: 2,500,000
Evaluate
16 − 10 ÷ 2 + 4 − (12 ÷ 2 )
Write in standard form.
3.8 ×10−1
A: 0.0029
Evaluate
6 + 8 ( 3) − 9 ( 2 ) + 10 ÷ 2
A: 17
Evaluate
2
2
2
2 ( 8 − 3) − 4 ( 6 − 2 ) − 7 ( 5 − 3)
A: 28
A: 0.38
Evaluate
6 ( 8 − 5 ) − 4 ( 4 − 2 ) + 12
A: 9
Evaluate
2
3
3
2 ( 5 − 3) + 4 ( 8 − 7 ) + 2 ( 6 − 4 )
A: 2.86 ×102
A: −42
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 1 OF 8
A: 22
Evaluate
3a 2 + 4b − 5c
where a = −2, b = −5, c = 3
A: −23
Evaluate
a3 + b2 where a = −2, b = −5
Simplify
−9 m + 7 m
Simplify
−3 x − 5 x
A: 17
Simplify
−10b + 3b
A: −8x
A: −7b
A: −2m
Simplify
3 ( m − 2 ) + 5 ( m − 3)
Simplify
3m − 2 x − 2m − 7 x
A: m − 9 x
A: 8m − 21
Simplify
3 ( 2 − x ) + 5 ( x − 3)
Simplify
7 ( a − 2b ) + 6 ( 2a − b )
Simplify
6 ( 3 x − 1) + 7 ( 2 x + 1)
A: 2 x − 9
Find the distance between the points
(8,9 ) and ( 2,1)
A: 19a − 20b
Find the distance between the points
( −7,3) and ( −2, −4 )
A: 32 x + 1
Find the distance between the points
( 7,1) and ( −5, −4 )
A: 10
A: 74 ≈ 8.6
Find the slope of the line through the
points ( 7, 2 ) and ( 4, −3)
A: 13
Find the slope of the line through the
points ( 5,3) and (1, 2 )
A: m =
1
4
A: m = 53
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 2 OF 8
Find the slope of the line through the
points ( −3, −4 ) and ( −6, −1)
A: m = −1
Find the midpoint through the points
( 6, 4 ) and ( 2,10 )
Find the midpoint through the points
( −1, −4 ) and ( −5, 0 )
A: M = ( 4, 7 )
A: M = ( −3, −2 )
The endpoint of a segment is
( −4, −6 ) and the midpoint is ( 6,10 ) .
Find the other endpoint.
The endpoint of a segment is
(8, 4 ) and the midpoint is ( 2, 6 ) .
Find the other endpoint.
A: ( x, y ) = ( −4,8 )
A: m =
A: ( x, y ) = (16, 26 )
Find the slope of the line with
equation 4 x − 3 y = 24
Simplfiy.
51
85
A:
2
3
Add.
7 3
+
12 12
5
6
A: m =
4
3
A:
7
9
A: 1 407 =
47
40
Simplfiy.
35
45
A:
3
5
Add.
4 3
+
5 8
Add.
7 5
+
8 8
A:
A: ( x, y ) = ( 4, 22 )
A: m = − 53
2
3
Simplfiy.
12
18
A: M = (1, −2 )
The endpoint of a segment is
( 4, −6 ) and the midpoint is ( 4,8) .
Find the other endpoint.
Find the slope of the line with
equation 3x + 5 y = 15
Find the slope of the line with
equation y = 23 x − 7
Find the midpoint through the points
( 5, 7 ) and ( −3, −11)
A: 1 12 =
3
2
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 3 OF 8
Subtract.
7 3
−
8 8
Add.
2
3
1 +2
5
4
A: 4 203 =
83
20
Subtract.
7 2
−
8 3
A:
1
2
Subtract.
2 3
3 −1
5 4
Subtract.
3 2
2 −1
4 5
A: 1 207 =
33
20
Divide.
8 2
÷
9 3
Multiply.
2 3
2 ×3
5
4
A: 9
Round to the nearest tenth.
0.476
A: 2000
1
6
A: 6
4
3
Round to the nearest hundred.
3467
A: 3500
A: 34.37
Estimate the quotient.
358 ÷ 13
Estimate the product.
38 × 52
A:
Divide.
3 5
3 ÷
4 8
A: 1 13 =
Round to the nearest hundredth.
34.368
A: 0.5
5
24
Multiply.
3 4
×
8 9
A: 1 13
20 =
27
20
A:
Estimate the quotient.
490 ÷ 53
A: 30
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 4 OF 8
A: 10
Solve:
5 x + 20 > −15
Solve:
3 x − 6 ≤ 12
A: x ≤ 6
Solve:
2 x − 10 ≤ −11
Solve:
−3 x − 15 ≥ −24
A: x > −7
Solve:
8 x − 10 ≤ 6 x − 28
Solve:
5 x − 12 ≥ 8 x − 30
A: x ≤ −9
A: x ≤ − 12
Simplfiy.
8 + −10 − 19
Solve:
3 x − 6 = 18
2
3
of 60?
A: −1
What is
1
2
of
3
4
A: 30
Convert to fraction.
14%
A: 40%
A: 10
What is 300 decrease by
of 80?
A: 40
Convert to %.
2
5
A: x ≤ 6
Simplfiy.
10 − 12 + 6 − 14
A: x = 8 or x = −4
What is
A: x ≤ 3
3
5
of 500?
A: 0
Convert to decimal.
2.5%
A:
7
50
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 5 OF 8
A: 0.025
What percentage of 90 is 18?
What is 8% of 900?
Convert to fraction.
0.034
A:
17
Solve:
x 8
=
5 10
Of what number is 12 the 3%.
Solve:
x+2 3
=
5
8
A: x = 4
A: 400
Solve:
1.5 x − 2 2
=
6
8
Solve:
3x − 2 4
=
8
5
A: x = 2
A: x = 2 13 =
9
2
Multiply.
( 2m2 a )( 4m3a )
A: 8m5 a 2
Multiply.
( 3ab2 ) ( −5ab ) (10a 2b2 )
Multiply.
( 7a 2b3 )( −4ab x )
A: −15a m + 4
A: x = 4 12 =
7
3
A: 12a 3
A: a8
Multiply.
( 5a 4 )( −3a m )
A: x = − 18
Solve:
2 x − 3 3x − 6
=
4
5
Multiply.
( 3a ) ( 4a 2 )
Multiply.
a5 ⋅ a ⋅ a 2
A: 20%
A: 72
500
A: −28a 3b x +3
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 6 OF 8
A: −150a 4b5
Divide.
a6 ÷ a2
Divide.
6a 4 ÷ ( 2a x )
Divide.
24a 6b 4 ÷ ( −6ab 2 )
A: a 4
A: 3a 4− x
A: −4a 5b 2
Simplfiy.
( 3a 2b3 ) ( 4ab )
Simplfiy.
(10 x 4 y3 )( 3x2 y 2 )
Simplfiy.
( 2m4 y3 )( 7m3 y )
6ab 2
15 x3 y 3
14m7 y 4
A: 2a 2b 2
Simplfiy.
a −7
a3
Simplfiy.
7 x −4 y 3
2 x 2 y −5
Simplfiy.
3a −8b −4
9a −10b6
A:
1
a10
Solve:
2 x − 10 = 20
A:
1 a2
3 b10
A: x = 15
A: x = −2
Solve:
4 ( x − 3) = −13
A: x = 85
A:
7 y8
2 x6
Solve:
2 ( x − 3) = 14
Solve:
3 x − 21 = −27
Solve:
5 ( x − 2 ) = −2
A: 1
A: 2 x 3 y 2
A: x = 10
Solve:
x
− 10 = 6
3
A: x = − 14
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 7 OF 8
A: x = 48
Solve:
2x
− 10 = 8
5
Solve:
3x
−9 = 6
4
Solve:
3x
=9
12 −
5
A: x = 45
Solve:
1.5 x
− 6 = −9
3
A: x = 5
A: x = −7
A: x = −6
Solve:
3 ( x − 4 ) = 5 ( x − 3)
Solve:
10 x + 6 = 13 x + 12
A: x = −2
A: x = 20
Solve:
8 x − 10 = 11x − 12
Solve:
8 x − 10 = 6 x − 24
A: x =
2
3
Solve:
1
1
(8 x − 12 ) = (12 x − 9 )
4
3
A: x =
3
2
PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW
PAGE 8 OF 8
A: x = 0