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Chapter 1: The Language of Algebra
1-1 Variables and Expressions (p. 6)
Write an algebraic expression for each verbal expression.a) the sum of j and 13 b) 24 less than three times a number
Algebra 1
Chapter 1: The Language of Algebra
Write algebraic expressions with powers.a) one-half the cube of n b) the sum of y to the third power and 9
Evaluate each expression.a) 92 b) 43
Algebra 1
Chapter 1: The Language of Algebra
Write a verbal expression for each algebraic expression.a) 4m4
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b) 12n3
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Algebra 1
Chapter 1: The Language of Algebra
1-2 Order of Operations (p. 11)
Example 1 – Evaluation Expressionsa) (4 – 6)7 b) 50 – (15 + 9) c) 29 – 3(9 – 4)
Example 2 – Grouping Symbolsa) [7(2) – 4] + [9 + 8(4)]
Example 3 – Fraction Bar
a) (4 ·3)2 ·59+3
b) 3+23
52(4)
Example 4 – Evaluate an Algebraic ExpressionEvaluation each expression if g = 4, h = 6, j = 8, and k = 12.
a) 2k+gh2− j b) 2g(h−g)gh− j
Algebra 1
Chapter 1: The Language of Algebra
Example 5 – Use Algebraic Expressions
Algebra 1
Chapter 1: The Language of Algebra
1-3 Open Sentences (p. 16)
Example 1 – Use a Replacement Set to Solve an EquationFind the solution of an equation if the replacement set is {10, 11, 12, 13, 14, 15}a) 3 x−7=29 b) 12 ( x−8 )=84
Example 2 – Use Order of Operations to Solve an Equation
a) 4 (6 )+3=x b) w=14−82
Example 3 – Find the Solution Set of an Inequalitya) 24−2 x≥13 ; {0 ,1 ,2 ,3 ,4 ,5 ,6 } b) 3 (12−x )−2≤28;{1.5 ,2 ,2.5 ,3}
Algebra 1
Chapter 1: The Language of Algebra
1-4 Identity and Equality Properties (p. 21)
Algebra 1
Chapter 1: The Language of Algebra
Algebra 1
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Chapter 1: The Language of Algebra
Check for UnderstandingName the property used in each equation. Then find the value of n .
13n=0 __________________________________________
Algebra 1
Chapter 1: The Language of Algebra
17+0=n __________________________________________
16n=1 __________________________________________
Evaluate 6(12−48÷4 ). Name the property used in each step.
1-5 The Distributive Property (p. 26)
Algebra 1
Chapter 1: The Language of Algebra
Check for Understanding
Algebra 1
Chapter 1: The Language of Algebra
Check for Understanding
Algebra 1
Chapter 1: The Language of Algebra
Check for Understanding
1-6 Commutative and Associative Properties
Algebra 1
Chapter 1: The Language of Algebra
1-8 Graphs and Functions (p. 43)
Algebra 1
Chapter 1: The Language of Algebra
The independent variable is graphed on the x-axis (horizontal);The dependent variable graphed on the y-axis (vertical)
Algebra 1
Chapter 1: The Language of Algebra
Algebra 1
Chapter 1: The Language of Algebra
Discussion
Algebra 1