8th Grade Final Test - Review Sheet

Class: Date: 8th Grade Final Test - Review Sheet 1. Which equation has a slope of 2 and passes through the point (5, 0)? A. y = 2x + 5 B. y = 2x + 10 C. y = 2x + 5 D. y = 2x + 10 2. Which of the following equations would not represent the same situation as that represented by y = 150 x? A. x = 150 y B. xy = 150 C. yx = 150 D. y = 150x Solve the equation. 3. 4n + 7 + 2n = 1 A. 1 B. 3 C. 3 D. 4 4. 78 = 2(m + 3) + m A. 28 B. 42 C. 72 D. 84 Solve the equation. 5. 8d 4d 6d 8 = 2d A. 0 B. 1 C. 2 D. 4 6. Find the value of a and the value of the marked angles. A. 19; 102 B. 18; 97 C. 21; 112 D. 17; 92 1

Decide whether the relationship shown is linear. If so, choose the equation that models the data. 7. x y 9 2 5 7 1 12 3 17 A. The relationship is linear; y + 2 = 4 (x + 9). 5 B. The relationship is linear; y + 9 = 4 (x + 2). 5 C. The relationship is not linear. D. The relationship is linear; y + 2 = 5 (x + 9). 4 8. What is the solution of the following system of equations? y = 4x + 7 y = x + 4 A. (4, 0) B. (1, 3) C. ( 3, 19) D. (0, 7) 9. Suppose that y varies inversely with x. Write an equation for the inverse variation y = 6 when x = 8. A. y = x B. y = 2x C. x = y D. y = 48 48 2 x 10. A surveyor determined the distance between two docks on opposite sides of a lake. Which is the closest estimate of the distance between the two docks? A. 2 mi B. 1 mi C. 2.3 mi D. 3 mi 2

11. Which one of the diagrams below could be used to solve the following problem: Justine rides her bike 3 miles to the east and then 10 miles to the south. How far is she from her starting point? A. B. C. D. 12. Name the section of the map in which San Francisco is located. A. B-2 B. B-1 C. A-2 D. A-1 13. Find the length of the side of a square with an area of 36 units. A. 1,296 units C. 18 units B. 36 units D. 6 units 14. The legs of an isosceles right triangle are 11 centimeters long. Find the length of the hypotenuse. Round to the nearest tenth if necessary. A. 15.6 cm B. 22 cm C. 7.8 cm D. 19.1 cm 15. Ingrid is making a quilt using squares that measure 5 inches on each side. What is the length of a diagonal of one of the quilt squares? Round to the nearest tenth. A. 8.7 in. B. 7.1 in. C. 3.5 in. D. 14.2 in. 16. Which of these is equivalent to b 6 b 2? A. b 3 B. b 8 C. b 12 D. b 4 3

17. If 2 4 = 16, 2 2 = 4, 2 0 = 1, and 2 2 = 1 4, then what does 2 4 equal? A. 1 8 B. 1 32 C. 1 16 D. 1 2 Simplify. 18. 5 2 (5 6 2 ) A. 775 B. 89 C. 25 D. 70 19. Suppose that the population of a town is 2,700 and that the population is growing 4 percent each year. a. Write an equation to model the population growth. b. Predict the population after 12 years. 20. 2 2 2 8 A. y = 4 2, 700 x ; about 129,600 people B. y = 2, 700 4 x ; about 4,323 people C. y = 2, 700 1.04 x ; about 4,323 people D. y = 2, 700 4 x ; about 45,298,483,200 people Write the expression using a single exponent. A. 4 10 B. 2 10 C. 4 16 D. 2 16 21. x 13 x 2 A. x 13 2 B. x 15 C. x 11 D. x 26 Write the number in standard form. 22. A cell has an approximate diameter of 3.656 10 5 millimeters. A. 0.0003656 B. 0.0000003656 C. 0.000003656 D. 0.00003656 23. A scientist uses a spherical particle in an experiment. The diameter of particle A is 3.09 10 5 centimeters. a. Write the diameter of particle A in standard form. b. What is the radius of particle A? Express your answer in standard form. A. 0.0000309; 0.00001545 cm C. 0.0000309; 0.0000618 cm B. 0.000309; 0.0000618 cm D. 0.000309; 0.00001545 cm 4

24. Which of the following choices shows the translation of the hexagon as depicted in the illustration of the arrow below (1 unit to the right and 2 units down)? A. C. B. D. 25. If ABCD is congruent to PMNO, then: A. BC AB B. BC NO C. BC MP D. BC MN 26. Point A(1, 4) is reflected over the y-axis. Write the coordinates of A%. A. ( 1, 4) B. ( 1, 4) C. (1, 4) D. (1, 4) 5

27. Write a rule to describe the translation of ΔABC to ΔA % B % C %. A. (x, y) (x 3, y + 4) C. (x, y) (x + 4, y 3) B. (x, y) (x + 3, y 4) D. (x, y) (x 4, y + 3) 28. Which equation is not equivalent to W = 1500 150T? A. 15(100 10T) C. 1500(1 150T) B. 125 + 1375 10(15T) D. 10(150 15T) 29. If 30(x 10) = 120, then x = A. 14 B. 14 C. 80 D. 80 30. Which of the following equations represents a linear function? A. y = (3x + 10)x C. y = (3 10x)x B. y = (3x 10)(3 + 10) D. y = 3x(x 3) 31. Which of the following expressions is equivalent to 3(x + 4) 6 + 5x? A. 3x + 12 x C. 8x 2 B. 8x + 6 D. 2x + 6 6

Simplify the expression. 32. 1 ( 12m + 38) 2 A. 6m + 38 C. 6m + 76 B. 24m + 19 D. 6m + 19 Simplify the product. 33. (x 4)(x + 3) A. x 2 7x 12 C. x 2 x 12 B. x 2 + x 12 D. x 2 12x 1 34. a. Find the value of a. b. Find the value of the marked angles. A. 22; 100 B. 19; 88 C. 20; 92 D. 24; 108 Factor the expression. 35. d 2 + 10d + 9 A. (d + 9)(d 1) C. (d 9)(d 1) B. (d 9)(d + 1) D. (d + 9)(d + 1) Complete. 36. z 2 + 9z 90 = (z 6)(z + ) A. 9 C. 90 B. 15 D. 15 7

Solve the equation by factoring. 37. z 2 6z 27 = 0 A. z = 3 or z = 9 C. z = 3 or z = 9 B. z = 3 or z = 9 D. z = 3 or z = 9 38. Graph the function f(x) = 4 x. A. C. B. D. 39. Which equation represent a line that is parallel to the line y = 3x 10? A. y = x + 3 C. y = x 10 B. y = 3x + 7 D. y = 1 3 x 10 40. Which equation is equivalent to 3x 6y = 18? A. 3x + 18 = 6y C. y = 1 2 x 3 B. 6y = 3x + 18 D. y = 1 2 x 1 2 8

41. Which equation represents a line that is perpendicular to y = 3x 10 and passes through point (3, 4)? A. y = 1 x 4 C. y = 3x + 13 3 B. y = 1 3 x + 5 D. y = 1 3 x 4 42. Which of the following is a solution to the system A. (0, 3 ) 2 C. ( 1, 0) B. (2, 0) D. (1, 3) Ï 3x + 2y = 3 Ì Ô? ÓÔ 3x y = 6 43. A line passes through (2, 1) and (8, 4). Write an equation for the line in point-slope form. Rewrite the equation in standard form using integers. A. y + 1 = 5 6 (x 2); 5x + 6y = 16 C. y + 1 = 5 (x + 2); 5x + 6y = 16 6 B. y 1 = 5 6 (x 2); 5x + 6y = 16 D. y 2 = 5 (x + 1); 5x + 6y = 17 6 Find equations of lines that are parallel to the lines of the equation. 44. y = 5x + 6 18x + 3y = 54 A. No, since the slopes are different B. Yes, since the slopes are the same and the y-intercepts are different C. No, since the y-intercepts are different D. Yes, since the slope are the same and the y-intercepts are the same 9

45. y < x + 3 Graph the inequality on a coordinate plane. A. C. B. D. Write and solve an inequality. 46. The daily cost of renting a car is $21 plus $.53 per mile. Jane s budget allows her to spend a maximum of $96.00 for a one-day rental. How many miles m can Jane drive the rental car in one day without exceeding her budget of $96.00? A. 21 96.00 0.50m; 150 or fewer miles B. 0.50m + 21 > 96.00; 150 or more miles C. 96.00 21 + 0.50m; 150 or more miles D. 0.50m + 21 96.00; 150 or fewer miles 47. You are planning a skating party at a rink that charges a basic fee of $38.00 and $6.50 per person for catered parties. You don t want to spend more than $174.50. How many friends can you invite? A. 6.50m + 38.00 < 174.50; 21 or more friends B. 174.50 38.00m + 6.50; 5 or fewer friends C. 38.00 + 6.50m 174.50; 21 or fewer friends D. 174.50 6.50m 38.00; 32 or more friends 10

Find the x- and y-intercept of the line. 48. 3x + 9y = 18 A. x-intercept is 2; y-intercept is 6. C. x-intercept is 6; y-intercept is 2. B. x-intercept is 3; y-intercept is 9. D. x-intercept is 9; y-intercept is 3. Solve the system of equations by graphing. 49. y = 1 2 x + 3 y = 2x 7 A. C. B. ( 4, 1) D. ( 4, 1) (0, 0) ( 4, 1) 11

50. You have $47 to spend at the music store. Each cassette tape costs $5 and each CD costs $10. Write and graph a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs. A. 5x + 10y 47 C. 10x + 5y 47 B. 10x + 5y 47 D. 5x + 10y 47 12

8th Grade Final Test - Review Sheet Answer Section 1. ANS: D PTS: 1 DIF: L2 REF: Thinking with Mathematical Models Multiple Choice OBJ: Investigation 2: Linear Models and Equations NAT: CC 8.EE.B.6 CC 8.EE.C.7 CC 8.EE.C.7b CC 8.F.A.3 CC 8.F.B.5 CC 8.SP.A.2 CC 8.SP.A.3 NAEP A1f NAEP A2b NAEP A2c NAEP A2d NAEP A4a NAEP A4c NAEP A4d NAEP D1a NAEP D2e TOP: Problem 2.2 Equations for Linear Relationships KEY: linear equations writing equations 2. ANS: D PTS: 1 DIF: L2 REF: Thinking with Mathematical Models Multiple Choice OBJ: Investigation 3: Inverse Variation NAT: CC 8.F.A.3 NAEP A2a NAEP A2b NAEP A3a NAEP D1a NAEP D2e TOP: Problem 3.2 Inverse Variation Patterns KEY: inverse variation equivalent equations 3. ANS: B PTS: 1 DIF: L1 REF: Thinking with Mathematical Models Skills Practice Investigation 1 OBJ: Investigation 2: Linear Models and Equations NAT: CC 8.EE.B.5 CC 8.EE.C.7 CC 8.EE.C.8 CC 8.F.A.3 CC 8.F.B.4 CC 8.SP.A.2 NAEP D1a NAEP D2e TOP: Problem 1.1 Finding Patterns and Making Predictions KEY: multi-step equation combining like terms 4. ANS: D PTS: 1 DIF: L1 REF: Say It With Symbols Skills Practice Investigation 3 OBJ: Investigation 3: Solving Equations NAT: CC 8.EE.7 CC 8.EE.7.b CC 8.G.9 NAEP G2e NAEP G2f TOP: Problem 3.1 Solving Linear Equations KEY: combining like terms solving multi-step equations Distributive Property 5. ANS: C PTS: 1 DIF: L1 REF: Thinking with Mathematical Models Skills Practice Investigation 1 OBJ: Investigation 2: Linear Models and Equations NAT: CC 8.EE.B.5 CC 8.EE.C.7 CC 8.EE.C.8 CC 8.F.A.3 CC 8.F.B.4 CC 8.SP.A.2 NAEP D1a NAEP D2e TOP: Problem 1.2 Finding Patterns and Making Predictions KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality solving equations multi-step equation equations with variables on both sides 6. ANS: B PTS: 1 DIF: L2 REF: Thinking with Mathematical Models Skills Practice Investigation 1 OBJ: Investigation 2: Linear Models and Equations NAT: CC 8.EE.B.5 CC 8.EE.C.7 CC 8.EE.C.8 CC 8.F.A.3 CC 8.F.B.4 CC 8.SP.A.2 NAEP D1a NAEP D2e TOP: Problem 1.2 Finding Patterns and Making Predictions KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality equations with variables on both sides equivalent equations inverse operations multi-step equation multi-part question 7. ANS: D PTS: 1 DIF: L1 REF: Thinking with Mathematical Models Skills Practice Investigation 2 OBJ: Investigation 2: Linear Models and Equations NAT: CC 8.EE.B.6 CC 8.EE.C.7 CC 8.EE.C.7b CC 8.F.A.3 CC 8.F.B.5 CC 8.SP.A.2 CC 8.SP.A.3 NAEP A1f NAEP A2b NAEP A2c NAEP A2d NAEP A4a NAEP A4c NAEP A4d NAEP D1a NAEP D2e TOP: Problem 2.2 Equations for Linear Relationships KEY: linear equation linear data 1

8. ANS: B PTS: 1 DIF: L1 REF: Thinking with Mathematical Models Skills Practice Investigation 2 OBJ: Investigation 2: Linear Models and Equations NAT: CC 8.EE.B.6 CC 8.EE.C.7 CC 8.EE.C.7b CC 8.F.A.3 CC 8.F.B.5 CC 8.SP.A.2 CC 8.SP.A.3 NAEP A1f NAEP A2b NAEP A2c NAEP A2d NAEP A4a NAEP A4c NAEP A4d NAEP D1a NAEP D2e TOP: Problem 2.4 Intersecting Linear Models KEY: system of linear equations 9. ANS: D PTS: 1 DIF: L1 REF: Thinking with Mathematical Models Skills Practice Investigation 3 OBJ: Investigation 3: Inverse Variation NAT: CC 8.F.A.3 NAEP A2a NAEP A2b NAEP A3a NAEP D1a NAEP D2e TOP: Problem 3.1 Relating Length and Width KEY: constant of variation inverse variation 10. ANS: C PTS: 1 DIF: L2 REF: Looking for Pythagoras Multiple Choice Item OBJ: Investigation 4: Using the Pythagorean Theorem NAT: CC 8.EE.A.2 CC 8.G.B.7 CC 8.G.C.9 CC 8.NS.A.1 CC 8.NS.A.2 NAEP G3d TOP: Problem 4.2 Finding Distances KEY: distance pythagorean theorem right triangle square root 11. ANS: A PTS: 1 DIF: L2 REF: Looking for Pythagoras Multiple Choice Item OBJ: Investigation 3: The Pythagorean Theorem NAT: CC 8.EE.A.2 CC 8.G.B.6 CC 8.G.B.7 CC 8.G.B.8 CC 8.G.C.9 NAEP N2d TOP: Problem 3.4 Measuring the Egyptian Way KEY: drawing diagrams direction 12. ANS: C PTS: 1 DIF: L1 REF: Looking for Pythagoras Skills Practice Investigation 1 OBJ: Investigation 1: Coordinate Grids NAT: CC 8.G.B.6 TOP: Problem 1.1 Finding Distance on a Grid KEY: map grid system 13. ANS: D PTS: 1 DIF: L2 REF: Looking for Pythagoras Skills Practice Investigation 2 OBJ: Investigation 2: Squaring Off NAT: CC 8.EE.A.2 NAEP A2c TOP: Problem 2.3 Using Squares to Find Lengths KEY: square root perfect square 14. ANS: A PTS: 1 DIF: L1 REF: Looking for Pythagoras Skills Practice Investigation 4 OBJ: Investigation 4: Using the Pythagorean Theorem NAT: CC 8.EE.A.2 CC 8.G.B.7 CC 8.G.C.9 CC 8.NS.A.1 CC 8.NS.A.2 NAEP G3d TOP: Problem 4.3 Analyzing Triangles KEY: square root hypotenuse leg 45-45-90 triangles 15. ANS: B PTS: 1 DIF: L1 REF: Looking for Pythagoras Skills Practice Investigation 4 OBJ: Investigation 4: Using the Pythagorean Theorem NAT: CC 8.EE.A.2 CC 8.G.B.7 CC 8.G.C.9 CC 8.NS.A.1 CC 8.NS.A.2 NAEP G3d TOP: Problem 4.3 Analyzing Triangles KEY: square root hypotenuse leg 45-45-90 triangles problem solving word problem 16. ANS: D PTS: 1 DIF: L2 REF: Growing Growing Growing Multiple Choice OBJ: Investigation 5: Patterns with Exponents NAT: CC 8.EE.A.1 CC 8.EE.A.3 CC 8.EE.A.4 CC 8.F.A.3 NAEP A1a NAEP A1b NAEP A1e NAEP A2g TOP: Problem 5.2 Operating with Exponents KEY: exponents simplify expressions 2

17. ANS: C PTS: 1 DIF: L2 REF: Growing Growing Growing Multiple Choice OBJ: Investigation 5: Patterns with Exponents NAT: CC 8.EE.A.1 CC 8.EE.A.3 CC 8.EE.A.4 CC 8.F.A.3 NAEP A1a NAEP A1b NAEP A1e NAEP A2g TOP: Problem 5.2 Operating with Exponents KEY: exponents simplify expressions negative exponents 18. ANS: A PTS: 1 DIF: L1 REF: Growing Growing Growing Skills Practice Investigation 1 OBJ: Investigation 1: Exponential Growth NAT: CC 8.EE.A.3 CC 8.F.A.2 CC 8.F.B.5 NAEP G3d TOP: Problem 1.2 Representing Exponential Relationships KEY: exponent power order of operations 19. ANS: C PTS: 1 DIF: L1 REF: Growing Growing Growing Skills Practice Investigation 3 OBJ: Investigation 3: Growth Factors and Growth Rates NAT: CC 8.F.B.5 NAEP A1a NAEP A1b NAEP A1e NAEP A2g TOP: Problem 3.2 Growth Rates Problem 3.3 Connecting Growth Rates and Growth Factor KEY: exponential growth growth factor problem solving word problem multi-part question 20. ANS: B PTS: 1 DIF: L1 REF: Growing Growing Growing Skills Practice Investigation 5 OBJ: Investigation 5: Patterns with Exponents NAT: CC 8.EE.A.1 CC 8.EE.A.3 CC 8.EE.A.4 CC 8.F.A.3 NAEP A1a NAEP A1b NAEP A1e NAEP A2g TOP: Problem 5.2 Operating with Exponents KEY: exponent base multiplying powers 21. ANS: C PTS: 1 DIF: L1 REF: Say It With Symbols Skills Practice Investigation 2 OBJ: Investigation 2: Generating Expressions NAT: CC 8.EE.7 CC 8.EE.7.a CC 8.EE.7.b CC 8.F.2 TOP: Problem 2.3 Using Equations KEY: dividing powers base exponent 22. ANS: D PTS: 1 DIF: L1 REF: Growing Growing Growing Skills Practice Investigation 5 OBJ: Investigation 5: Patterns with Exponents NAT: CC 8.EE.A.1 CC 8.EE.A.3 CC 8.EE.A.4 CC 8.F.A.3 NAEP A1a NAEP A1b NAEP A1e NAEP A2g TOP: Problem 5.2 Operating with Exponents KEY: scientific notation standard form negative exponent 23. ANS: A PTS: 1 DIF: L2 REF: Growing Growing Growing Skills Practice Investigation 5 OBJ: Investigation 5: Patterns with Exponents NAT: CC 8.EE.A.1 CC 8.EE.A.3 CC 8.EE.A.4 CC 8.F.A.3 NAEP A1a NAEP A1b NAEP A1e NAEP A2g TOP: Problem 5.2 Operating with Exponents KEY: negative exponent scientific notation multi-part question problem solving 24. ANS: D PTS: 1 DIF: L2 REF: Butterflies, Pinwheels, and Wallpaper Multiple Choice OBJ: Investigation 1: Symmetry and Transformations NAT: CC 8.G.1 CC 8.G.1.a CC 8.G.1.b CC 8.G.1.c CC 8.G.3 CC 8.G.9 NAEP A2a NAEP A2g TOP: Problem 2.3 Describing Translations KEY: Translation Translation Image Translation Symmetry 3

25. ANS: D PTS: 1 DIF: L1 REF: Butterflies, Pinwheels, and Wallpaper Skills Practice Investigation 2 OBJ: Investigation 2: Transformations and Congruence NAT: CC 8.G.1 CC 8.G.1.a CC 8.G.1.b CC 8.G.1.c CC 8.G.2 CC 8.G.9 TOP: Problem 3.1 Relating Symmetry and Congruence KEY: congruent polygons 26. ANS: A PTS: 1 DIF: L1 REF: Butterflies, Pinwheels, and Wallpaper Skills Practice Investigation 3 OBJ: Investigation 3: Transforming Coordinates NAT: CC 8.G.1 CC 8.G.1.a CC 8.G.1.b CC 8.G.1.c CC 8.G.3 TOP: Problem 5.1 Writing Rules for Reflections KEY: reflection line of reflection graphing a reflection reflecting a point 27. ANS: B PTS: 1 DIF: L1 REF: Butterflies, Pinwheels, and Wallpaper Skills Practice Investigation 3 OBJ: Investigation 3: Transforming Coordinates NAT: CC 8.G.1 CC 8.G.1.a CC 8.G.1.b CC 8.G.1.c CC 8.G.3 TOP: Problem 5.2 Writing Rules for Translations KEY: prime notation transformation translation 28. ANS: C PTS: 1 DIF: L2 REF: Say It With Symbols Multiple-Choice Items OBJ: Investigation 1: Equivalent Expressions NAT: CC 8.EE.7 CC 8.EE.7.a CC 8.EE.7.b CC 8.G.9 NAEP G2c TOP: Problem 1.2 Determining Equivalence KEY: writing equations equivalent expressions 29. ANS: B PTS: 1 DIF: L2 REF: Say It With Symbols Multiple-Choice Items OBJ: Investigation 3: Solving Equations NAT: CC 8.EE.7 CC 8.EE.7.b CC 8.G.9 NAEP G2e NAEP G2f TOP: Problem 3.1 Solving Linear Equations KEY: linear equation solve 30. ANS: B PTS: 1 DIF: L2 REF: Say It With Symbols Multiple-Choice Items OBJ: Investigation 4: Looking Back at Functions NAT: CC 8.EE.7.b CC 8.F.3 CC 8.F.4 CC 8.F.5 CC 8.G.9 TOP: Problem 4.3 Sorting Functions KEY: linear equation 31. ANS: B PTS: 1 DIF: L2 REF: Say It With Symbols Multiple-Choice Items OBJ: Investigation 1: Equivalent Expressions NAT: CC 8.EE.7 CC 8.EE.7.a CC 8.EE.7.b CC 8.G.9 NAEP G2c TOP: Problem 1.2 Determining Equivalence KEY: equivalent expressions 32. ANS: D PTS: 1 DIF: L1 REF: Say It With Symbols Skills Practice Investigation 1 OBJ: Investigation 1: Equivalent Expressions NAT: CC 8.EE.7 CC 8.EE.7.a CC 8.EE.7.b CC 8.G.9 NAEP G2c TOP: Problem 1.4 Revisiting the Distributive Property KEY: Distributive Property rational numbers real numbers 33. ANS: C PTS: 1 DIF: L1 REF: Say It With Symbols Skills Practice Investigation 1 OBJ: Investigation 1: Equivalent Expressions NAT: CC 8.EE.7 CC 8.EE.7.a CC 8.EE.7.b CC 8.G.9 NAEP G2c TOP: Problem 1.4 Revisiting the Distributive Property KEY: binomial multiplication of polynomials 4

34. ANS: C PTS: 1 DIF: L2 REF: Say It With Symbols Skills Practice Investigation 2 OBJ: Investigation 2: Generating Expressions NAT: CC 8.EE.7 CC 8.EE.7.a CC 8.EE.7.b CC 8.F.2 TOP: Problem 2.2 Substituting Equivalent Expressions KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality equations with variables on both sides equivalent equations inverse operations multi-step equation multi-part question 35. ANS: D PTS: 1 DIF: L2 REF: Say It With Symbols Skills Practice Investigation 3 OBJ: Investigation 3: Solving Equations NAT: CC 8.EE.7 CC 8.EE.7.b CC 8.G.9 NAEP G2e NAEP G2f TOP: Problem 3.3 Factoring Quadratic Expressions KEY: polynomial factoring trinomials 36. ANS: B PTS: 1 DIF: L1 REF: Say It With Symbols Skills Practice Investigation 3 OBJ: Investigation 3: Solving Equations NAT: CC 8.EE.7 CC 8.EE.7.b CC 8.G.9 NAEP G2e NAEP G2f TOP: Problem 3.3 Factoring Quadratic Expressions KEY: polynomial factoring trinomials 37. ANS: C PTS: 1 DIF: L1 REF: Say It With Symbols Skills Practice Investigation 3 OBJ: Investigation 3: Solving Equations NAT: CC 8.EE.7 CC 8.EE.7.b CC 8.G.9 NAEP G2e NAEP G2f TOP: Problem 3.4 Solving Quadratic Equations KEY: factoring solving quadratic equations 38. ANS: A PTS: 1 DIF: L3 REF: Say It With Symbols Skills Practice Investigation 4 OBJ: Investigation 4: Looking Back at Functions NAT: CC 8.EE.7.b CC 8.F.3 CC 8.F.4 CC 8.F.5 CC 8.G.9 TOP: Problem 4.2 Linear Exponential KEY: graphing a nonlinear function 39. ANS: B PTS: 1 DIF: L2 REF: It's In the System Multiple Choice Items OBJ: Investigation 1: Linear Equations With Two Variables NAT: CC 8.EE.8.b TOP: Problem 1.2 Parallels and Perpendiculars KEY: quadrilateral perpendicular lines parallel lines parallelogram 40. ANS: C PTS: 1 DIF: L2 REF: It's In the System Multiple Choice Items OBJ: Investigation 1: Linear Equations With Two Variables NAT: CC 8.EE.8 CC 8.EE.8.a CC 8.EE.8.b CC 8.EE.8.c CC 8.F.3 CC 8.SP.3 TOP: Problem 3.3 Intersecting Lines KEY: linear system linear equation intersecting lines 41. ANS: B PTS: 1 DIF: L2 REF: It's In the System Multiple Choice Items OBJ: Investigation 1: Linear Equations With Two Variables NAT: CC 8.EE.8.b TOP: Problem 1.3 Finding Midpoints KEY: midpoint midline 42. ANS: D PTS: 1 DIF: L2 REF: It's In the System Multiple Choice Items OBJ: Investigation 2: Solving Linear Systems Algebraically NAT: CC 8.EE.8 CC 8.EE.8.a CC 8.EE.8.b CC 8.EE.8.c CC 8.F.3 TOP: Problem 4.3 Solving Linear Systems by Substitution KEY: linear system solution to a linear system substitution 5

43. ANS: A PTS: 1 DIF: L2 REF: It's In the System Skills Practice Investigation 1 OBJ: Investigation 1: Linear Equations With Two Variables NAT: CC 8.EE.8.b TOP: Problem 1.1 Equations for Circles KEY: point-slope form transforming equations standard form of a linear equation multi-part question 44. ANS: A PTS: 1 DIF: L1 REF: It's In the System Skills Practice Investigation 1 OBJ: Investigation 1: Linear Equations With Two Variables NAT: CC 8.EE.8.b TOP: Problem 1.2 Parallels and Perpendiculars KEY: parallel lines slope 45. ANS: C PTS: 1 DIF: L1 REF: It's In the System Skills Practice Investigation 3 OBJ: Investigation 3: Systems of Functions and Inequalities NAT: CC 8.EE.8 CC 8.EE.8.a CC 8.EE.8.b CC 8.EE.8.c CC 8.SP.3 NAEP A3a NAEP A3b TOP: Problem 2.2 Linear Inequalities KEY: graphing a linear inequality 46. ANS: D PTS: 1 DIF: L2 REF: It's In the System Skills Practice Investigation 3 OBJ: Investigation 3: Systems of Functions and Inequalities NAT: CC 8.EE.8 CC 8.EE.8.a CC 8.EE.8.b CC 8.EE.8.c CC 8.SP.3 NAEP A3a NAEP A3b TOP: Problem 2.3 Solving Linear Inequalities KEY: two-step inequality multi-part question problem solving word problem 47. ANS: C PTS: 1 DIF: L1 REF: It's In the System Skills Practice Investigation 3 OBJ: Investigation 3: Systems of Functions and Inequalities NAT: CC 8.EE.8 CC 8.EE.8.a CC 8.EE.8.b CC 8.EE.8.c CC 8.SP.3 NAEP A3a NAEP A3b TOP: Problem 2.3 Solving Linear Inequalities KEY: two-step inequality multi-part question problem solving word problem 48. ANS: C PTS: 1 DIF: L1 REF: It's In the System Skills Practice Investigation 1 OBJ: Investigation 1: Linear Equations With Two Variables NAT: CC 8.EE.8 CC 8.EE.8.a CC 8.EE.8.b CC 8.EE.8.c CC 8.F.3 CC 8.SP.3 TOP: Problem 3.1 Solving Equations With Two Variables KEY: x-intercept y-intercept standard form of a linear equation 49. ANS: D PTS: 1 DIF: L1 REF: It's In the System Skills Practice Investigation 2 OBJ: Investigation 2: Solving Linear Systems Algebraically NAT: CC 8.EE.8 CC 8.EE.8.a CC 8.EE.8.b CC 8.EE.8.c CC 8.F.3 CC 8.SP.3 TOP: Problem 3.3 Intersecting Lines KEY: system of linear equations graphing a system of linear equations 50. ANS: D PTS: 1 DIF: L1 REF: It's In the System Skills Practice Investigation 4 OBJ: Investigation 4: Systems of Linear Inequalities NAT: CC 8.EE.C.8c NAEP A2b NAEP A4b TOP: Problem 5.2 Linear Inequalities KEY: word problem problem solving linear inequality graphing 6