Chapter 1 Algebra: Understand Numerical And Algebraic Expressions
Homework And Practice 4
Page 29 Exercise 1 Answer
4c + \(7 \frac{1}{2}\)
The expression 4c + \(7 \frac{1}{2}\) has two terms.
The terms are 4c and \(7 \frac{1}{2}\)
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The expression 4c + \(7 \frac{1}{2}\) has two terms.
Page 29 Exercise 2 Answer
80 . 6 − 3p − q
The expression 80 . 6 − 3p − q has three terms.
The terms are 80 . 6 , 3p, and q
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The expression 80 . 6 − 3p − q has three terms.
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Page 29 Exercise 3 Answer
(7 ⋅ 2) ÷ s
The expression (7 ⋅ 2) ÷ s has only one term.
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The expression (7 ⋅ 2) ÷ s has one term.
Page 29 Exercise 4 Answer
100 + (8 ⋅ 6) − 50 + 2
The expression 100 + (8 ⋅ 6) − 50 + 2 has four terms.
The terms are 100, 8 ⋅ 6, 50, and 2
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The expression 100 + (8 ⋅ 6) − 50 + 2 has four terms.
Page 29 Exercise 5 Answer
1 + \(\frac{z}{3}\) + 2w
The expression 1 + \(\frac{z}{3}\) + 2w has three terms.
First term is 1
Second term is \(\frac{z}{3}\)
Third term is 2w
The second term \(\frac{z}{3}\) represent the quotient of z divided by 3
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The second term z represent the quotient of z divided by 3
Page 29 Exercise 6 Answer
1 + \(\frac{z}{3}\) + 2w
The expression 1 + \(\frac{z}{3}\) + 2w has three terms.
First term is 1
Second term is \(\frac{z}{3}\)
Third term is 2w
The third term 2w represent the product as a factor with one factor 2 and other factor is w
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The third term 2w represent the product as a factor with one factor 2 and other factor is w
Page 29 Exercise 7 Answer
\(\frac{3}{4}\) + 3(14 − 7)
The expression \(\frac{3}{4}\) + 3(14 − 7) has two terms.
First term is \(\frac{3}{4}\)
Second term is 3(14 − 7)
The part 14 − 7 represents a difference.
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The part 14 − 7 represents a difference.
Page 29 Exercise 8 Answer
\(\frac{3}{4}\) + 3(14 − 7)
The expression \(\frac{3}{4}\) + 3(14 − 7) has two terms.
First term is \(\frac{3}{4}\)
Second term is 3(14 − 7)
The second term 3(14 − 7) represents a product.
NOTE : Each part of the expression that is separated by a plus or minus sign is called a term.
Result
The second term 3(14 − 7) represents a product.
Page 30 Exercise 9 Answer
Cost of one sandwich = $5
Cost of one Drink = $1
Cost of salad = $4
Expression to show the cost of 2 sandwiches, 2 drinks and a salad :
2 ⋅ 5 + 2 ⋅ 1 + 4
The expression 2 ⋅ 5 + 2 ⋅ 1 + 4 has 3 terms.
The terms are 2 ⋅ 5, 2 ⋅ 1 and 4
NOTE : Each part of expression that is separated by a plus or minus sign is called a term.
Result
Expression: 2 ⋅ 5 + 2 ⋅ 1 + 4
Terms = 3
Page 30 Exercise 10 Answer
Cost of one sandwich = $5
Cost of one Drink = $1
Number of drinks ordered = 16
Let the number of sandwiches ordered be = n
Expression for total cost of 16 drinks and some sandwiches ordered : 16 ⋅ 1 + n ⋅ 5
The expression 16 ⋅ 1 + n ⋅ 5 has two terms.
The first term is 16 ⋅ 1 represent a product as factor.
One factor is 16 and other factor is 1
The second term is n⋅5 which also represents a product as factor
One factor is n and other factor is 1
NOTE : Each part of expression that is separated by a plus or minus sign is called a term.
Result
Expression: 16 ⋅ 1 + n ⋅ 5
The first term is 16 ⋅ 1 represent a product as factor
The second term is n ⋅ 5 which also represents a product as factor
Page 30 Exercise 11 Answer
\(\frac{a}{2}\)The expression \(\frac{a}{2}\) has one term which represents a quotient of a divided by 2
So, Mary is not correct.
Result
Mary is not correct
Page 30 Exercise 12 Answer
Multiplying the number (x+y) by \(\frac{1}{3}\) is the same as dividing it by 3
\((x+y) \times \frac{1}{3}=\frac{x}{3}+\frac{y}{3}\) \((x+y) \div 3=\frac{x}{3}+\frac{y}{3}\)So, \(\frac{1}{3}\) = (x + y) ÷ 3
Result
Multiplying the number (x + y) by \(\frac{1}{3}\) is the same as dividing it by 3
Page 30 Exercise 13 Answer
6 + 5(12 − 8)
The expression 6 + 5(12 − 8) has two terms which is separated by a plus sign.
So, the word sum describes the entire expression.
Result
SUM
Page 30 Exercise 14 Answer
\(3 t-\frac{10}{(4+1)}-2\)
Result
Coefficient → 3
Quotient → 10
Sum → 4 + 1
Product → 3t