Chapter 1 Algebra: Understand Numerical And Algebraic Expressions
Review What You Know
Page 2 Exercise 1 Answer
A formula is a rule that connects two or more quantities using symbols. Therefore, the word that goes on the blank is formula.
Result
formula
Page 2 Exercise 2 Answer
A(n) numerical expression is a mathematical phrase that includes numbers and at least one operations.
Result
NUMERICAL EXPRESSION
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Page 2 Exercise 3 Answer
A quantity that is unknown may be represented by a(n) variable.
Result
VARIABLE
Page 2 Exercise 4 Answer
56 − 27 + (16 ÷ 4) Evaluate
= 56 − 27 + 4 Solve parentheses
= 29 + 4 Subtract
= 33 Add
Result
33
Page 2 Exercise 5 Answer
94 − (5 × 6) ÷ 6 × 11 Evaluate
= 94 − 30 ÷ 6 × 11 Solve Parentheses
= 94 − 5 × 11 Divide
= 94 − 55 Multiply
= 39 Subtract
Result
39
Page 2 Exercise 6 Answer
[21 ÷ 3] + (18 ÷ 6) Evaluate
= 7 + (18 ÷ 6) Solve square brackets
= 7 + 3 Solve parentheses
= 10 Add
Result
10
Page 2 Exercise 7 Answer
2 × 36 − (12 + 7) Evaluate
= 2 × 36 − 19 Solve parentheses
= 72 − 19 Multiply
= 53 Simplify
Result
53
Page 2 Exercise 8 Answer
12 ÷ (2 + 1) × 15 ÷ 3 Evaluate
= 12 ÷ 3 × 15 ÷ 3 Solve Parentheses
= 4 × 5 Divide
= 20 Multiply
Result
20
Page 2 Exercise 9 Answer
15 − (2 × 3) × 2 + 9 Evaluate
= 15 − 6 × 2 + 9 Solve Parentheses
= 15 − 12 + 9 Multiply
= 3 + 9 Subtract
= 12 Add
Result
12
Page 2 Exercise 10 Answer
Length = 13 cm ; Width = 13 cm
Perimeter
= 2l + 2w
= 2(13) + 2(13) Substitute the value
= 26 + 26 Multiply
= 52 cm
Area
= lw
= (13)⋅(13) Substitute the value
= 169 sq. cm
Result
P = 52 cm
A = 169 cm2
Page 2 Exercise 11 Answer
Length = 21 in ; Width = 5 in
Perimeter
= 2l + 2w
= 2(21) + 2(5) Substitute the value
= 42 + 10 Multiply
= 52 in
Area
= lw
= (21) ⋅ (5) Substitute the value
= 105 sq. in
Result
P = 52 in
A = 105 in2
Page 2 Exercise 12 Answer
Length = 15 m ; Width = 9 m
Perimeter
= 2l + 2w
= 2(15) + 2(9) Substitute the value
= 30 + 18 Multiply
= 48 m
Area = lw
= (15)⋅(9) Substitute the value
= 135 sq. m
Result
P = 48 m
A = 135 m2