Download Study Guide ANSWERS ANSWERS to 1

Study Guide ANSWERS
ANSWERS to 1-5
1) 44
2) a3
••
3) 125 *Remember 53= 5 5 5 *Exponents mean repeated multiplication. BaseExponent
4) 36 +16 = 52
23 • 5 2
2•2•2 • 5• 5
5) c
•
8 25
200
ANSWERS to 6-9
6. h + d – e
7. d – h + e – 5
9 + 11- 3
8. 2f + fg
11 – 9 + 3 – 5
20 – 3
2(2) + 2(18)
7(8) – 15
4 + 2(18)
56 - 15
2+3–5
17
9. 7(8) – x
5-5
4 + 36
0
40
Rewrite Problem
Use Substitution
Follow Order of Operations
41
ANSWERS are underlined. Study words that mean different math operations.
Product multiply
11. Which expression represents “the product of 7 and a number increased by 2”
Increased by Add
a) 7n + 2
b) 7 + n + 2
c)
7
𝑛
+2
d) 7 + n - 2
12. Which expression represents “the sum of 14 and a number decreased by three”
a) 14n -3
b) 14 + n + 3
c) 14𝑛 + 3
d) (14+ n) -3
SumAdd
Decreased by subtract
Study Guide ANSWERS
Translate the statements below to algebraic expressions- variables, numbers and math operations
Answers:
13.
12 more than a number
13) X + 12
14.
The quotient of a number and 9
14)
15.
15 less than a number
15)
𝑥
9
Remember
the word
than makes
you reverse
that order.
𝑜𝑟 x÷ 9
x - 15
Translate the algebraic expressions below to statements
16.
23f
Possible Answers: *Remember a number beside a Variable means multiply.
The product of 23 and f or Twenty-three times a number
Use Order of Operations.
18. 84 + (2 • 6) + 52
17. 2 + 3 • 4
P
19. (50 ·2) - 2(6 • 5)
100 - 2(6 • 5)
Parenthesis
Exponents
100- 2(30)
Parenthesis
Add
100- 60
Multiply
2 + 12 Multiply
84 + 12 + 52
P
14
84 + 12 + 25
96 + 25
arenthesis
E
MD
Add
AS
121
Add
40
Subtract
20. Use the formula V= s3 to find the Volume of a cube with a side
Answer: .
length of 8 inches.
V= s3
Write formula
V= 83
Substitute for variable
V = 8•8•8 Use order of
operations
21. The Expression 50 + 8n can be used to find the total price for n people
V= 84• 8
to go to a Family Oktoberfest. Determine the cost for 4o people to attend
V = 512 inches cubed
the Oktoberfest.
4x + 2 Algebraic Expression.
50 + 8n write expression
Vocabulary:
50 + 8• 40 Substitute value for variable.
Coefficient – number you multiply variable by (in front of) 4
50 + 320
Constant- number that is by itself (can be + or -)
370
use order of operations to solve
is the cost for 40 people
Variable- a letter
+2
x
Term- parts of an Algebraic Expression Two  4x and +2