Download Percent - Garnet Valley School District

Garnet Valley High School
Practice Set of Required Math Skills for
Algebra 1
Students should practice each of the following skills to prepare for your next math
class. The math packet will be check on the first day of class and collect on the
first Friday. A graded assessment about these skills will be given and will count
as your first math grade the school year.
Skill 1:
All students should be able to complete 30 single digit multiplication and division
problems within one minute.
Use flash cards to practice.
Skill 2:
All students should be able to complete 30 single digit addition and subtraction
problems within one minute.
Use flash cards to practice.
Skill 3:
All students should be able to add, subtract, multiply and divide integers and decimal
numbers. Do not use a calculator.
1)
5)
93.3 - 24.6
0.0483  (2.1)
9)
68.14 - (-32.48)
873
13)  318
2) 34-(-11)
30  (6)
6)
10) –6(-5)
923
14)  324
 7  ( 7 )
3)
7) 75.2 x (-100)
11) –33.5 x (-0.1)
15) 6 1440
4) –9(0)
8) 131.58  (8.6)
12) 4.1 – 11.2
23
16) x 34
Skill 4:
All students should be able to simplify problems with fractions.
Do not use a calculator.
1)
5)
9)
13)
105
126
5 3

6 4
5 7

6 10
5 7

8 8
3
5
8
5  3

6)

18  6 
5 2

10)
6 5
4 7

5 25
2 3

7)
8)
5 4
5
1 
1
11)  6    10  12)  10 
2
4 
4
2)
3)
3 
1
14)  2    2 
4 
2
15)
3 1

4 5
3 4

4 7
7 7

6 10
4)
1 
2
16) 6    4 
8 
3
Skill 5:
All students should be able to determine the prime factors and factors of numbers.
Prime Factors
Factors
Prime Factors
10
12
20
36
Factors
48
100
105
126
Skill 6:
All students should be able to compare and order numbers.
1)
2 2 2
, ,
3 5 4
2)  2,  7,  10,  3 3)
3 7 5
, ,
4 8 9
4)  3,  4 ,  2, 5
5) 0.5, 0.9,
7
8
Skill 7:
All students should be able to simplify arithmetic expressions using the order of operations.
2)
27  (6  3)
6)
 34
963
4)
(2)3
(5  4)  7
8)
20  8
95
14)
26
25
1)
5)
23
(2) 4
9)
6  5  98  7 2 10) 48  (32  26)  58 11) 7  6  3  3
12) 
34
33
3)
7)
13)
93
3  22
Skill 8:
All students should be able to evaluate algebraic expressions.
Evaluate each expression if a = 2, b = -3, c = -2, and d=12.
1)
abc
5)
(a  d )  (b  c)
2)
b2
3)
cd  ab
6)
d
a
7)
c
 2b
a
4)
8)
3a 2  d
cd  ab
bc
d
a
6)
6
, 0.7, 0.75
7
Skill 9:
All students should be able to simplify expressions by adding like terms and using the distributive
property.
1) 6y + 3z – 3y
5)
2) -5(y – 4)
2.1(-1.2x + 2.3y – 1.1)
6)
3) 3(x – 2y)
2
(6 x  9 y )
3
4)
17a + 18b – 20b + a
8)
5
1
( x  y  12)
6
2
7) 6(3x – 4y + 8z)
Skill 10:
All students should be able to solve one-step equations with positive and negative numbers.
1)
5)
9)
75=19a
y -28=-28
a -5.05=-3.38
–317=y-97
–8c=-272
3
2

10) b 
20
5
2)
6)
A-76=695
4) 288=16w
m+1.52=36.61 8) –32=-m
y
x
9
 26
11)
12)
23
8
3)
7)
Skill 11:
All students should be able to solve multi-step equations involving combining like terms,
proportions, and the distributive property
1)
5)
9)
7y – 13 = 50
0.3p - 0.6 = -0.9
x
13   10
8
2)
6)
42 = 8(m - 2)
-3(x + 3) = -9
10) 1 m  1  3 m  12
2
4
3) 3(x + 4) = 66
7) 49 = 7(y - 7)
11) m
4
6
 4  4
4) 4 - 8m = 20
8) 12 = 19x - 13x
12) –6y – 18 = -84
Skill 12:
All students should be able to write and simplify ratio problems.
Simplify the ratio.
1)
4)
16 : 36
7 1
:
8 4
2)
1 week to 35 days
5)
1
:2
2
3)
6)
18 out of 26
60 to 200
Skill 13:
All students should be able to convert fractions, decimals, and percents
Fill in the chart.
Fraction
Percent
1)
5
6
Decimal
2)
50%
4)
5)
6)
7)
8)
0.125
9)
1
33 %
3
10)
11)
12)
3)
7
8
1.00
Skill 14:
All students should be able to translate and solve math word problems.
1) 13 increased by 5 is what number?
2) x decreased by 11 is –12. Determine the number.
3) 2 more than 5 times a number is 16. Determine the number.
4) 16 less than twice a number is –48. Determine the number.
5) 0 is 18 more than half a number. Determine the number.
6) A basketball team won
1
33 %
3
of its 45 games, how many games did the team win?
7) Louis had 105 correct answers on a 120 question true/false test, what percent of the
answers were correct?
8) Jonathan is permitted to watch 3 hours of TV on Saturday, if he watched TV for 1
1
hours in
4
the morning and ½ hour in the afternoon, how many hours can he watch TV on Saturday
evening?
9) Heather spent 2/3 of her $7.50 allowance at a movie. How much money does she have left?
10) Which is a better buy, one 40 oz can of soup for $1.89 or two 16 oz cans for $1.29?
11) A chicken farmer lost 1/3 as many chickens to coyote attacks as he did to diseases. If he
lost a total of 80 chickens, how many chickens were killed by coyotes?
12) Gina has 3 times as many dimes as quarters, the dollar amount of her dimes and quarters is
$6.05. How many quarters does she have?
Skill 15:
All students should be able to graph lines and answer questions about linear equations.
Graph the given lines.
Label at least 2 points on the graph.
State the slope of the graph.
1)
2)
y=x+4
y = (2/3)x – 3
y
y
x
3)
y = -3x + 2
x
4)
y = 3x – 2
y
y
x
x
Skill 16:
Solve and graph inequality problems.
5)
x+1<2
6)
–3 > -3(y – 4)
7)
10 > 2y + 3y
8)
–5 + 3y
>3
Selected Answers:
Skill 3
Skill 4
Skill 5
1) 68.7
1) 5/6
12 – PF 223
Skill 6
Skill 7
Skill 8
Skill 9
3) 5/9,3/4,7/8
1) 8
1) 12
1) 3y + 3z
Skill 10
Skill 11
Skill 12
Skill 13
Skill 14
Skill 15
1) 75/19=a
1) y = 9
1) 4/9
3) ½
1) 18
4) m = 3
and b = -2
8) y > 8/3
Skill 16
5) -.023
5) 1/12
9) 100.62
9) 23/15
12-F
1,12,2,6,3,4
5) 16
5) 19
5)
-2.52x+4.83y –
2.31z
5) y = 0
5) p = - 1
4) 7/2
5) 87.5%
5) -36
9) 28
9) a = 1.67
9) x = 24
12) 100%
9) $2.50
13) 555
13) 5/7