Download Unit 1 Summary Review Sheet 1. Represent 11 + 18 – 3

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Unit 1 Summary Review Sheet
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1. Represent 11 + 18 – 3 · 5 in simplified form?
2. What is the value of 2x – 5y if x = –3 and y = –5?
3. What is the value of 10 – 4x if x = –13?
4. What is the value of 10 + 4x if x = – 13?
5. What is the value of 10x3 – x if x = –2?
6. The perimeter (P) of a rectangle can be calculated by adding 2 times the length (l) to 2 times the
width (w) or P = 2l + 2w. What is the perimeter of a rectangle that has a length of 16.3 and a width of
11.9?
7. The pay (P) at a certain job is calculated by multiplying the base pay (B) by the number of hours
worked (h) (P = Bh). If an employee works more than 40 hours in 1 week, the formula changes to
P = 40B + 1.5B(h – 40). If Susan had base pay of $12.50 and worked 46 hours, what would be her
pay for the week?
8. What is the simplified form of – 4x + 7x?
9. What is the simplified form of – 5 + 2n – 6 – n?
10. What is the simplified form of: –3 – 5x – 5y + 8x + 7y + 8?
11. What is the simplified form of a + 3a – 4(9 – a)?
12. If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle?
13. Represent “7 times a number decreased by 13” as an expression.
14. Represent “94 increased by twice a number” as an expression.
15. Represent “28 less than three times a number” as an expression.
16. Represent “six times Bob’s age decreased by 8” as an expression.
17. Represent “the sum of 16 and five times a number” as an expression.
18. Represent “14 inches shorter than 6 times Joe’s height” as an expression.
19. Represent “four less than the square of a number” as an expression.
20. Which property would justify rewriting the following expression without parentheses? 3(2x + 5y)
21. Which property would justify the following statement? 8x + 4 = 4 + 8x
22. The formula for circumference of a circle is C = 2πr. Find the circumference of the circle if the
radius is 6. Use π = 3.14.
23. Find the difference: |–25| – (–32)
24. Define the following terms on a separate sheet of paper.
A. Additive Inverse
B. Number Line
C. Natural Numbers
D. Integers
E. Whole Numbers
F. Rational Numbers
G. Multiplicative Inverse
H. Reciprocal
I. Opposite
25. 0 and 5 are
A positive integers
B negative integers
C non positive integers
D non negative integers
26. Find the square root or cube root of each and then graph it on a number line.
a)
b)
64
c)
36
3
e)
64
0
125
0
0
0
d)
3
1
f)
0
169
0
g)
h)
80
3
k)
220
1
4
3
8
125
n)
0
0
l)
81
121
0
0
0
m)
127
0
0
j)
i)
34
81
49
o)
0
169
196
0
28. Solve each of the following equations for the specified variable.
a) A bh for b
b) d rt for r
d) 2 x y 16 for y
e)
7x
y
10 for y
c) P
2l 2w for w
d) y 2 x 7 3 for x
29. How can you tell if a square root or cube root expression is completely simplified? Explain.
30. How do you write a function as tables and rules?
31. How do you represent a function as a graph?
32. What is the difference between the identity property of multiplication and the identity property of
addition? Why are they different?
33. Describe when a square root is in simplest form.
34. What is the square root of a perfect square?
35. Where does the square root of a non-perfect square lie on the number line?
36. Describe when a cube root is in simplest form.
37. What is the cube root of a perfect cube?
38. Where does the cube root of a non-perfect cube lie on the number line?
39. What is the inverse of cubing a number? What is the inverse of squaring a number?
40. Why can we take the cube root of a negative number but not the square root of a negative
number?