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Algebra IA Midterm Exam REVIEW PACKET Answer Section MULTIPLE CHOICE 1. ANS: C PTS: 1 DIF: L3 REF: 2-10 Change Expressed as a Percent OBJ: 2-10.1 To find percent change NAT: CC N.Q.3| N.3.b| N.3.f| N.4.d TOP: 2-10 Problem 2 Finding a Percent Increase KEY: rearrange formula | percent of change | percent increase 2. ANS: C PTS: 1 DIF: L3 REF: 1-3 Real Numbers and the Number Line OBJ: 1-3.1 To classify, graph and compare real numbers NAT: CC N.RN.3| N.1.d| N.1.g| N.1.i| N.2.b| N.2.d TOP: 1-3 Problem 3 Classifying Real Numbers KEY: natural numbers | whole numbers | integers | rational numbers | irrational numbers 3. ANS: B PTS: 1 4. ANS: B PTS: 1 DIF: L3 REF: 1-4 Properties of Real Numbers OBJ: 1-4.1 To identify and use properties of real numbers NAT: CC N.RN.3| N.1.d| N.3.d| N.5.f| N.6.a| A.3.d TOP: 1-4 Problem 3 Writing Equivalent Expressions KEY: equivalent expressions 5. ANS: B PTS: 1 DIF: L3 REF: 1-4 Properties of Real Numbers OBJ: 1-4.1 To identify and use properties of real numbers NAT: CC N.RN.3| N.1.d| N.3.d| N.5.f| N.6.a| A.3.d TOP: 1-4 Problem 3 Writing Equivalent Expressions KEY: equivalent expressions 6. ANS: B PTS: 1 DIF: L2 REF: 1-4 Properties of Real Numbers OBJ: 1-4.1 To identify and use properties of real numbers NAT: CC N.RN.3| N.1.d| N.3.d| N.5.f| N.6.a| A.3.d TOP: 1-4 Problem 1 Identifying Properties KEY: equivalent expressions 7. ANS: A PTS: 1 DIF: L3 REF: 1-4 Properties of Real Numbers OBJ: 1-4.1 To identify and use properties of real numbers NAT: CC N.RN.3| N.1.d| N.3.d| N.5.f| N.6.a| A.3.d TOP: 1-4 Problem 1 Identifying Properties KEY: equivalent expressions 8. ANS: B PTS: 1 DIF: L3 REF: 1-9 Patterns, Equations, and Graphs OBJ: 1-9.1 To use tables, equations, and graphs to describe relationships NAT: CC A.CED.2| CC A.REI.10| A.1.a TOP: 1-9 Problem 1 Identifying Solutions of a Two-Variable Equation KEY: solution of an equation 9. ANS: C PTS: 1 DIF: L3 REF: 1-1 Variables and Expressions OBJ: 1-1.1 To write algebraic expressions NAT: CC A.SSE.1.a| A.1.a| A.3.b TOP: 1-1 Problem 4 Using Words for an Expression KEY: algebraic expression | variable | quantity 10. ANS: C PTS: 1 DIF: L3 REF: 1-7 The Distributive Property OBJ: 1-7.1 To use the Distributive Property to simplify expressions NAT: CC A.SSE.1.a| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c TOP: 1-7 Problem 2 Rewriting Fraction Expressions KEY: Distributive Property | coefficient | term | like terms 11. ANS: B PTS: 1 DIF: L3 REF: 2-10 Change Expressed as a 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. Percent OBJ: 2-10.1 To find percent change NAT: CC N.Q.3| N.3.b| N.3.f| N.4.d TOP: 2-10 Problem 1 Finding a Percent Decrease KEY: rearrange formula | percent change | percent decrease ANS: A PTS: 1 DIF: L3 REF: 1-5 Adding and Subtracting Real Numbers OBJ: 1-5.1 To find sums and differences of real numbers NAT: CC N.RN.3| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c TOP: 1-5 Problem 1 Using Number Line Models KEY: opposites | additive inverses ANS: D PTS: 1 DIF: L2 REF: 1-2 Order of Operations and Evaluating Expressions OBJ: 1-2.1 To simplify expressions involving exponents NAT: CC A.SSE.1.a| N.3.a| N.5.e TOP: 1-2 Problem 1 Simplifying Powers KEY: power | exponent | base | simplify | evaluate ANS: A PTS: 1 DIF: L4 REF: 1-7 The Distributive Property OBJ: 1-7.1 To use the Distributive Property to simplify expressions NAT: CC A.SSE.1.a| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c TOP: 1-7 Problem 5 Combining Like Terms KEY: Distributive Property | coefficient | term | like terms ANS: A PTS: 1 DIF: L2 REF: 1-3 Real Numbers and the Number Line OBJ: 1-3.2 To find and estimate square roots NAT: CC N.RN.3| N.1.d| N.1.g| N.1.i| N.2.b| N.2.d TOP: 1-3 Problem 1 Simplifying Square Root Expressions KEY: square root | perfect square ANS: B PTS: 1 DIF: L4 REF: 1-2 Order of Operations and Evaluating Expressions OBJ: 1-2.2 To use the order of operations to evaluate expressions NAT: CC A.SSE.1.a| N.3.a| N.5.e TOP: 1-2 Problem 3 Evaluating Algebraic Expressions KEY: power | exponent | base | simplify | evaluate ANS: A PTS: 1 DIF: L3 REF: 1-7 The Distributive Property OBJ: 1-7.1 To use the Distributive Property to simplify expressions NAT: CC A.SSE.1.a| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c TOP: 1-7 Problem 1 Simplifying Expressions KEY: Distributive Property | coefficient | term | like terms ANS: A PTS: 1 DIF: L4 REF: 1-5 Adding and Subtracting Real Numbers OBJ: 1-5.1 To find sums and differences of real numbers NAT: CC N.RN.3| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c TOP: 1-5 Problem 4 Adding and Subtracting Real Numbers KEY: opposites | additive inverses ANS: D PTS: 1 DIF: L2 REF: 1-1 Variables and Expressions OBJ: 1-1.1 To write algebraic expressions NAT: CC A.SSE.1.a| A.1.a| A.3.b TOP: 1-1 Problem 1 Writing Expressions With Addition and Subtraction KEY: algebraic expression | variable ANS: C PTS: 1 DIF: L3 REF: 1-4 Properties of Real Numbers OBJ: 1-4.1 To identify and use properties of real numbers NAT: CC N.RN.3| N.1.d| N.3.d| N.5.f| N.6.a| A.3.d TOP: 1-4 Problem 2 Using Properties for Mental Calculations KEY: deductive reasoning ANS: A PTS: 1 DIF: L3 REF: 1-6 Multiplying and Dividing Real Numbers OBJ: 1-6.1 To find products and quotients of real numbers NAT: CC N.RN.3| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c TOP: 1-6 Problem 1 Multiplying Real Numbers reciprocal 22. ANS: B PTS: 1 DIF: L2 REF: 1-3 Real Numbers and the Number Line OBJ: 1-3.1 To classify, graph and compare real numbers NAT: CC N.RN.3| N.1.d| N.1.g| N.1.i| N.2.b| N.2.d TOP: 1-3 Problem 5 Graphing and Ordering Real Numbers KEY: rational numbers | real numbers | comparing numbers KEY: multiplicative inverse | SHORT ANSWER 23. ANS: 20 weeks PTS: 1 DIF: L4 REF: 2-2 Solving Two-Step Equations OBJ: 2-2.1 To solve two-step equations in one variable NAT: CC A.CED.1| CC A.REI.1| CC A.REI.3| A.4.a| A.4.c TOP: 2-2 Problem 2 Using an Equation as a Model KEY: create an equation | isolate | equation in one variable 24. ANS: Answers will vary PTS: 1 25. ANS: 72 PTS: OBJ: NAT: KEY: 26. ANS: 40 1 DIF: L3 REF: 1-2 Order of Operations and Evaluating Expressions 1-2.2 To use the order of operations to evaluate expressions CC A.SSE.1.a| N.3.a| N.5.e TOP: 1-2 Problem 2 Simplifying a Numerical Expression power | exponent | base | simplify | evaluate PTS: 1 DIF: L3 REF: 2-2 Solving Two-Step Equations OBJ: 2-2.1 To solve two-step equations in one variable NAT: CC A.CED.1| CC A.REI.1| CC A.REI.3| A.4.a| A.4.c TOP: 2-2 Problem 3 Solving With Two Terms in the Numerator KEY: equation in one variable | isolate | inverse operations 27. ANS: Negative because -3/4 has a bigger absolute value. The sum of a positive and negative number takes the sign of the number that has the bigger absolute value. PTS: 1 28. ANS: -16/3 PTS: 1 PROBLEM 29. ANS: John’s Age 6 7 8 9 10 n PTS: OBJ: NAT: Graph KEY: Rob’s Age 1 2 3 4 5 n-5 1 DIF: L3 REF: 1-9 Patterns, Equations, and Graphs 1-9.1 To use tables, equations, and graphs to describe relationships CC A.CED.2| CC A.REI.10| A.1.a TOP: 1-9 Problem 2 Using a Table, an Equation, and a inductive reasoning NUMERIC RESPONSE 30. ANS: no PTS: 1 DIF: L3 REF: 1-8 An Introduction to Equations OBJ: 1-8.1 To solve equations using tables and mental math NAT: CC A.CED.1| N.2.b| A.3.b TOP: 1-8 Problem 2 Identifying Solutions of an Equation KEY: solution of an equation