Chapter 1 Algebra: Understand Numerical And Algebraic Expressions
Homework And Practice 3
Page 23 Exercise 1 Answer
c + 6
6 more than a number c
Result
c + 6
Page 23 Exercise 2 Answer
2.5 less than a number d → d − 2.5
Result
d − 2.5
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Page 23 Exercise 3 Answer
50 divided by a number f → \(\frac{50}{f}\)
Result
\(\frac{50}{f}\)Page 23 Exercise 4 Answer
Twice a number n → 2n
Result
2n
Page 23 Exercise 5 Answer
12 fewer than h hats → h − 12
Result
h − 12
Page 23 Exercise 6 Answer
Four times the sum of x and \(\frac{1}{2}\) → \(4 \times\left(x+\frac{1}{2}\right)\)
Result
\(4 \times\left(x+\frac{1}{2}\right)\)Page 23 Exercise 7 Answer
6 less than the quotient of z divided by 3 → \(\frac{z}{3}\) − 6
Result
\(\frac{z}{3}\) − 6
Page 23 Exercise 8 Answer
Twice a number k plus the quantity s minus 2 → 2k + s − 2
Result
2k + s − 2
Page 23 Exercise 9 Answer
8 more than s stripes → s + 8
Result
s + 8
Page 23 Exercise 10 Answer
5 times the quantity m divided by 2 → 5 × \(\frac{m}{2}\)
Result
5 × \(\frac{m}{2}\)
Page 24 Exercise 11 Answer
Cost of each Platy = $2
Number of Platies bought by Lenny = p
Cost of each Loach = $2
Number of Loaches bought by Lenny = l
Algebraic Expression:
Total cost of the fish = 2p + 2l
Result
2p + 2l
Page 24 Exercise 12 Answer
Cost of each Guppy = $3
Number of Guppies bought by Mr. Bolden = g
Algebraic Expression:
Amount of money Mr. Bolden will get back = 20 – 3g
Result
20 − 3g
Page 24 Exercise 13 Answer
Number of bags of fish bought = 2
Cost of each Guppy = $3
Number of Guppies each bag has = g
Cost of each Tetra = $5
Number of Tetra each bag has = 1
Cost of one box of fish food = $5
Algebraic Expression:
Total amount paid by Ms. Wilson = 2 × (3g + 5) + 5
Result
2 × (3g + 5) + 5
Page 24 Exercise 14 Answer
27 ⋅ 3 + (2 ⋅ 27) ⋅ 2 Evaluate
= 27 ⋅ 3 + 54 ⋅ 2 Evaluate inside the parentheses
= 81 + 108 Multiply
= 189 Add
Result
Amount of sales of guppies and platies is $189
Page 24 Exercise 15 Answer
6b + w
w is more than 6 times a number b
Result
w is more than 6 times a number b
Page 24 Exercise 16 Answer
Six pencils less than p packs of pencils that have 5 pencils in each pack.
A) 5p − 6 → It represent the given phrase
B) p − 6 → It does not represent the given phrase
C) 5 ⋅ (p − 6) → It does not represent the given phrase
D) 6 − 5p → It does not represent the given phrase
Result
A) 5p − 6
Page 24 Exercise 17 Answer
(6.5 + 2.2y) ÷ 3
A) 6.5 → It is a number
B) 2.2 → It is a number
C) y → It is a variable
D) 3 → It is a number
Result
C) y