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1.
2.
(6EE2b) Write each word phrase as an algebraic expression.
a.
The quotient of a number and 18
b.
The product of 12 and a number
c.
27 more than X
d.
4 less than X
(6EE2c) To place a 2 inch by 3 inch advertisement in the local newspaper costs $6 plus twenty cents per word. Which one of
the following expressions represents how much the newspaper charges per advertisement? (
a.
b.
c.
d.
3.
6 + 20W
6 + .20W
6 + 2X ● 3
20 + 6W
(6EE3) The following expressions contain similar numbers and operation. Are these two expressions equal? Explain your
answer.
4(3 + 5)
4.
UNIT THREE STUDY GUIDE
(4 x 3) + 5
(6EE2b) Translate each algebraic expression into words.
a.
P + 37
b.
14q
c.
d.
𝑦
3
m-6
5.
(6EE2) Kelly has a job for the summer cleaning houses. She charges $7.50 per hour. Write an expression that represents
the amount of money she will earn if she cleans houses for h hours.
6.
(6EE2C) Evaluate this expression.
5a + 2 - b2 where a = 6 and b = 4.
7.
(6EE4) Three students gave three different answers for the following problem.
You are setting the tables and you want to have X people per table. You only need 5 tables. Write an expression to represent how you
would find the total number of chairs you need. (continued on next page)
Student A response: x + x + x + x + x
Student B response: 2 • x + x +x + x
Student C response: 5 • x
Have all of these students provided a correct representation? Explain your answer.
8.
(6EE1) Evaluate this expression.
7 + 23 – 4
9.
3
(6EE2C) Evaluate (7 •32 ÷ 9)3 ̶ 5
10. (6EEA) Evaluate the following numerical expression.
3[3+(9) (8) + 5]
Can the brackets [ ] of this expression be removed without changing the value the expression? Explain
11. Ms. Daniel’s Math class is planning a field trip to Six Flags. It will cost $ 35 for the school bus and the price of a ticket is $20
dollars per student.
a.
What will determine the amount of money the class will have to make?
b.
Write an expression to show that.
c.
How much will it cost if 10 students attend?
d.
How much will it cost if 17 students attend? Draw a model to represent this situation.
12. Use the distributive property to rewrite this expression:
7(b + 5)
13. Show one way to rewrite this expression using distributive property:
15x + 21
14. Combine like terms to simplify the expression:
2x + 5 + 3x2 + 7x – 2
15. Write 43 in expanded form.
16. Write 5●5●5 in exponential form.
17. Evaluate 24
18. Give an example of the commutative property _____________
19. Give an example of the associative property ________________
20. Give an example of the identity property _________________