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Beginning Algebra
1.
List all the factors of 88.
2.
List all the prime numbers between 25 and 60.
3.
Find the GCF for 16 and 17.
4.
Find the LCM for 13 and 39.
5.
Write the fraction in simplest form.
6.
Multiply. Be sure to simplify the product.
7.
Divide.
Write the result in simplest form.
8.
Add.
9.
Perform the indicated operation.
Write the result in simplest form.
–
10.
Perform the indicated operation. Write the result in simplest
form.
÷
11.
Find the decimal equivalent of
rounded to the hundredths place.
12.
Write 0.12 as a fraction and simplify.
13.
Perform the indicated operation.
8.50 – 1.72
14.
Divide.
15.
Write 255% as a decimal.
16.
Write 0.037 as a percent.
17.
Evaluate.
56 ÷ 7 – 28 ÷ 7
18.
Evaluate.
9
·
4
2
19.
Multiply: (-1/4)(8/13)
20.
Translate to an algebraic expression: Twice x, plus 5, is the
same as -14.
21.
Identify the property that is illustrated by the following
statement.
5 + 15 = 15 + 5
22.
Identify the property that is illustrated by the following
statement.
(6 · 13)
·
10 = 6 · (13 · 10)
23.
Identify the property that is illustrated by the following
statement.
10
·
(3 + 11) = 10
·
3 + 10
·
11
24.
Use the distributive property to remove the parentheses in the
following expression.
Then simplify your result where possible.
3.1(3 + 7)
25.
Add.
14 + (–6)
26.
Subtract.–17 – 6
27.
Evaluate.
3 – (–3) – 13 – (–5)
28.
Multiply.
29.
Divide.
30.
Evaluate.
(–6)
2
– 5
2
31.
Evaluate.
(–9)(0) + 13
32.
A man lost 36 pounds (lb) while dieting.
If he lost 3 pounds each week, how long has he been dieting?
33.
Write the following phrase using symbols: 2 times the sum of
v
and
p
34.
Write the following phrase using symbols.
Use the variable
x
to represent the number: The quotient of a number and 4
35.
Dora puts 50 cents in her piggy bank every night before she
goes to bed.
If
M
represents the money (in dollars) in her piggy bank this
morning, how much money (in dollars) is in her piggy bank
when she goes to bed tonight?
36.
Write the following geometric expression using the given
symbols.
times the Area of the base (
A
) times the height(
h
)
37.
Evaluate
if
x
= 12,
y
=
, and
z
=
.
38.
A formula that relates Fahrenheit and Celsius temperature is
.
If the current temperature is 59°F, what is the Celsius
temperature?
39.
If the circumference of a circle whose radius is
r
is given by
C
= 2
πr
, in which
π
≈ 3.14, find the circumference when
r
= 15 meters (m).
40.
Combine like terms: 9
v
+ 6
w
+ 4
v
41.
A rectangle has sides of 3
x
– 4 and 7
x
+ 10.
Provide a simplified expression for its perimeter.
42.
Subtract 4
ab
3
from the sum of 10
ab
3
and 2
ab
3
.
43.
Use the distributive property to remove the parentheses, then
simplify by combining like terms: 7(4
s
– 5) + 9
44.
Multiply: 8
u
6
·
3
u
3
45.
Simplify the expression, if possible:

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Beginning Algebra1.List all the factors of 88.2..docx

  • 1. Beginning Algebra 1. List all the factors of 88. 2. List all the prime numbers between 25 and 60. 3. Find the GCF for 16 and 17. 4. Find the LCM for 13 and 39. 5. Write the fraction in simplest form. 6.
  • 2. Multiply. Be sure to simplify the product. 7. Divide. Write the result in simplest form. 8. Add. 9. Perform the indicated operation. Write the result in simplest form. – 10. Perform the indicated operation. Write the result in simplest form.
  • 3. ÷ 11. Find the decimal equivalent of rounded to the hundredths place. 12. Write 0.12 as a fraction and simplify. 13. Perform the indicated operation. 8.50 – 1.72 14. Divide. 15. Write 255% as a decimal.
  • 4. 16. Write 0.037 as a percent. 17. Evaluate. 56 ÷ 7 – 28 ÷ 7 18. Evaluate. 9 · 4 2 19. Multiply: (-1/4)(8/13) 20.
  • 5. Translate to an algebraic expression: Twice x, plus 5, is the same as -14. 21. Identify the property that is illustrated by the following statement. 5 + 15 = 15 + 5 22. Identify the property that is illustrated by the following statement. (6 · 13) · 10 = 6 · (13 · 10) 23. Identify the property that is illustrated by the following statement. 10 · (3 + 11) = 10 · 3 + 10 ·
  • 6. 11 24. Use the distributive property to remove the parentheses in the following expression. Then simplify your result where possible. 3.1(3 + 7) 25. Add. 14 + (–6) 26. Subtract.–17 – 6 27. Evaluate. 3 – (–3) – 13 – (–5)
  • 8. A man lost 36 pounds (lb) while dieting. If he lost 3 pounds each week, how long has he been dieting? 33. Write the following phrase using symbols: 2 times the sum of v and p 34. Write the following phrase using symbols. Use the variable x to represent the number: The quotient of a number and 4 35. Dora puts 50 cents in her piggy bank every night before she goes to bed. If M represents the money (in dollars) in her piggy bank this morning, how much money (in dollars) is in her piggy bank when she goes to bed tonight?
  • 9. 36. Write the following geometric expression using the given symbols. times the Area of the base ( A ) times the height( h ) 37. Evaluate if x = 12, y = , and z = . 38. A formula that relates Fahrenheit and Celsius temperature is
  • 10. . If the current temperature is 59°F, what is the Celsius temperature? 39. If the circumference of a circle whose radius is r is given by C = 2 πr , in which π ≈ 3.14, find the circumference when r = 15 meters (m). 40. Combine like terms: 9 v + 6 w + 4 v 41.
  • 11. A rectangle has sides of 3 x – 4 and 7 x + 10. Provide a simplified expression for its perimeter. 42. Subtract 4 ab 3 from the sum of 10 ab 3 and 2 ab 3 . 43. Use the distributive property to remove the parentheses, then simplify by combining like terms: 7(4 s – 5) + 9 44.
  • 12. Multiply: 8 u 6 · 3 u 3 45. Simplify the expression, if possible: