Getting Ready for Algebra 2 - Test 3 Review
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1 Getting Ready for Algebra 2 - Test 3 Review Short Answer 1. Simplify the expression
2 14. Simplify the product using FOIL Find the square. 17. Find the product. 18. (5p 4)(5p + 4) 19. (4m 2 5)(4m 2 + 5) Factor the expression. 20. d d k 2 + 5kf 36f x x k 2 36h 2
3 26. 81b Use the slope and y-intercept to graph the equation. 3 y = 4 x 4 y x Graph the equation. 28. x = 1 y x Solve the equation x = 10
4 30.
5 Getting Ready for Algebra 2 - Test 3 Review Answer Section SHORT ANSWER 1. ANS: 4.12 PTS: 1 DIF: L2 REF: 8-3 Mulitplication Properties of Exponents OBJ: Multiplying Powers NAT: ADP I.1.5 ADP J.1.1 TOP: 8-3 Example 1 KEY: multiplying powers with the same base exponential expression simplifying an exponential expression 2. ANS: PTS: 1 DIF: L2 REF: 8-3 Mulitplication Properties of Exponents OBJ: Multiplying Powers NAT: ADP I.1.5 ADP J.1.1 TOP: 8-3 Example 2 KEY: exponential expression simplifying an exponential expression multiplying powers with the same base 3. ANS: 1 PTS: 1 DIF: L2 REF: 8-1 Zero and Negative Exponents OBJ: Zero and Negative Exponents NAT: ADP J.1.1 ADP J.1.6 TOP: 8-1 Example 1 KEY: zero as an exponent negative exponent simplfying a power 4. ANS: PTS: 1 DIF: L2 REF: 8-1 Zero and Negative Exponents OBJ: Zero and Negative Exponents NAT: ADP J.1.1 ADP J.1.6 TOP: 8-1 Example 1 KEY: zero as an exponent negative exponent simplfying a power 5. ANS: PTS: 1 DIF: L2 REF: 8-1 Zero and Negative Exponents OBJ: Zero and Negative Exponents NAT: ADP J.1.1 ADP J.1.6 TOP: 8-1 Example 2 KEY: zero as an exponent negative exponent simplifying an exponential expression 6. ANS: PTS: 1 DIF: L2 REF: 8-3 Mulitplication Properties of Exponents
6 OBJ: Multiplying Powers NAT: ADP I.1.5 ADP J.1.1 TOP: 8-3 Example 2 KEY: exponential expression simplifying an exponential expression multiplying powers with the same base 7. ANS: PTS: 1 DIF: L2 REF: 8-3 Mulitplication Properties of Exponents OBJ: Multiplying Powers NAT: ADP I.1.5 ADP J.1.1 TOP: 8-1 Example 2 KEY: exponential expression simplifying an exponential expression multiplying powers with the same base 8. ANS: PTS: 1 DIF: L2 REF: 8-3 Mulitplication Properties of Exponents OBJ: Multiplying Powers NAT: ADP I.1.5 ADP J.1.1 TOP: 8-3 Example 2 KEY: exponential expression simplifying an exponential expression multiplying powers with the same base 9. ANS: PTS: 1 DIF: L2 REF: 8-4 More Multiplication Properties of Exponents OBJ: Raising a Power to a Power NAT: ADP I.1.5 ADP J.1.1 TOP: 8-4 Example 1 KEY: raising a power to a power exponential expression simplifying an exponential expression 10. ANS: PTS: 1 DIF: L2 REF: 8-4 More Multiplication Properties of Exponents OBJ: Raising a Power to a Power NAT: ADP I.1.5 ADP J.1.1 TOP: 8-4 Example 1 KEY: raising a power to a power exponential expression simplifying an exponential expression 11. ANS: PTS: 1 DIF: L2 REF: 8-4 More Multiplication Properties of Exponents OBJ: Raising a Power to a Power NAT: ADP I.1.5 ADP J.1.1 TOP: 8-4 Example 2 KEY: exponential expression simplifying an exponential expression simplifying an expression with powers 12. ANS: PTS: 1 DIF: L2 REF: 8-4 More Multiplication Properties of Exponents OBJ: Raising a Product to a Power NAT: ADP I.1.5 ADP J.1.1
7 TOP: 8-4 Example 3 KEY: raising a product to a power exponential expression simplifying an exponential expression 13. ANS: PTS: 1 DIF: L2 REF: 8-5 Division Properties of Exponents OBJ: Dividing Powers With the Same Base NAT: ADP I.1.5 ADP I.2.2 ADP J.1.1 TOP: 8-5 Example 1 KEY: dividing powers with the same base exponential expression 14. ANS: PTS: 1 DIF: L2 REF: 8-5 Division Properties of Exponents OBJ: Dividing Powers With the Same Base NAT: ADP I.1.5 ADP I.2.2 ADP J.1.1 TOP: 8-5 Example 1 KEY: dividing powers with the same base exponential expression 15. ANS: PTS: 1 DIF: L3 REF: 9-3 Multiplying Binomials OBJ: Multiplying Two Binomials NAT: NAEP 2005 M1h NAEP 2005 A3c ADP J.1.3 ADP K.8.2 TOP: 9-3 Example 2 KEY: polynomial FOIL 16. ANS: PTS: 1 DIF: L3 REF: 9-3 Multiplying Binomials OBJ: Multiplying Two Binomials NAT: NAEP 2005 M1h NAEP 2005 A3c ADP J.1.3 ADP K.8.2 TOP: 9-3 Example 1 KEY: polynomial Distributive Property 17. ANS: PTS: 1 DIF: L3 REF: 9-4 Multiplying Special Cases OBJ: Finding the Square of a Binomial NAT: NAEP 2005 A3c ADP J.1.3 TOP: 9-4 Example 1 KEY: polynomial square of a binomial 18. ANS: 25p 2 16 PTS: 1 DIF: L3 REF: 9-4 Multiplying Special Cases OBJ: Difference of Squares NAT: NAEP 2005 A3c ADP J.1.3 TOP: 9-4 Example 4 KEY: polynomial difference of squares 19. ANS: 16m 4 25 PTS: 1 DIF: L3 REF: 9-4 Multiplying Special Cases OBJ: Difference of Squares NAT: NAEP 2005 A3c ADP J.1.3 TOP: 9-4 Example 4 KEY: polynomial difference of squares
8 20. ANS: (d + 4)(d + 7) PTS: 1 DIF: L3 REF: 9-5 Factoring Trinomials of the Type x^2 + bx + c OBJ: Factoring Trinomials NAT: NAEP 2005 A3c ADP J.1.4 TOP: 9-5 Example 1 KEY: polynomial factoring trinomials 21. ANS: (k + 9f)(k 4f) PTS: 1 DIF: L3 REF: 9-5 Factoring Trinomials of the Type x^2 + bx + c OBJ: Factoring Trinomials NAT: NAEP 2005 A3c ADP J.1.4 TOP: 9-5 Example 3 KEY: polynomial factoring trinomials 22. ANS: (7x + 3)(4x + 5) PTS: 1 DIF: L3 REF: 9-6 Factoring Trinomials of the Type ax^2 + bx + c OBJ: Factoring ax^2 + bx + c NAT: NAEP 2005 A3c ADP J.1.4 TOP: 9-6 Example 1 KEY: polynomial factoring trinomials 23. ANS: PTS: 1 DIF: L2 REF: 9-7 Factoring Special Cases OBJ: Factoring Perfect-Square Trinomials NAT: ADP J.1.4 TOP: 9-7 Example 1 KEY: polynomial factoring trinomials perfect-square trinomial 24. ANS: PTS: 1 DIF: L3 REF: 9-7 Factoring Special Cases OBJ: Factoring Perfect-Square Trinomials NAT: ADP J.1.4 TOP: 9-7 Example 2 KEY: polynomial factoring trinomials perfect-square trinomial 25. ANS: (k + 6h)(k 6h) PTS: 1 DIF: L3 REF: 9-7 Factoring Special Cases OBJ: Factoring the Difference of Squares NAT: ADP J.1.4 TOP: 9-7 Example 3 KEY: polynomial factoring trinomials difference of squares 26. ANS: (9b + 8)(9b 8) PTS: 1 DIF: L3 REF: 9-7 Factoring Special Cases OBJ: Factoring the Difference of Squares NAT: ADP J.1.4 TOP: 9-7 Example 4 KEY: polynomial factoring trinomials difference of squares 27. ANS:
9 y x PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept Form OBJ: Graphing Linear Equations NAT: NAEP 2005 A1h ADP J.4.1 ADP J.4.2 ADP K.10.2 TOP: 6-2 Example 4 KEY: linear equation graphing equations slope y-intercept 28. ANS: y x PTS: 1 DIF: L2 REF: 6-4 Standard Form OBJ: Graphing Equations Using Intercepts NAT: NAEP 2005 A1h ADP J.4.1 ADP J.4.2 ADP K.10.2 TOP: 6-4 Example 3 KEY: graphing horizontal and vertical lines 29. ANS: 4 PTS: 1 DIF: L2 REF: 7-1 Solving Two-Step Equations OBJ: Using Properties to Solve Two-Step Equations NAT: NAEP 2005 A4a NAEP 2005 A4c TOP: 7-1 Example 1 KEY: solving two-step equations 30. ANS: 48 PTS: 1 DIF: L2 REF: 7-2 Solving Multi-Step Equations OBJ: Using the Distributive Property NAT: NAEP 2005 A4a NAEP 2005 A4c TOP: 7-2 Example 3
10 KEY: combining like terms solving multi-step equations Distributive Property
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