Math 8 EQT Study Guide - 2nd Quarter
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1 Math 8 EQT Study Guide - 2nd Quarter Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The maximum capacity of a theater is 550 people. So far, 312 people are seated in the theater. Which inequality can be solved to show the number of people p that can still enter the theater? 2. Which equation represents the relationship 8 less than a number is -10? 3. Write an algebraic expression that represents 7 less than 9 times a number? 4. How many terms are in the algebraic expression? a. 4 c. 3 b. 1 d How many factors does the algebraic expression have? a. 4 c. 1 b. 8 d Solve. 7. Which system can be solved with the eliminating method by using addition? 8. Solve by substitution a. (2, 5) c. (6, 7) b. (0, 1) d. (2, 3) 9. Solve the system by graphing.
![10. Solve the equation. Write a reason for each numbered step. Given [1] Simplify. [2] Simplify. a. [1] Multiplication Property of Equality; [2] Distributive Property b.](/docs-images/95/124835006/images/2-0.jpg "[1] Addition Property of Equality; [2] Distributive Property c. [1] Division Property of Equality; [2] Subtraction Property of Equality d.")
2 10. Solve the equation. Write a reason for each numbered step. Given [1] Simplify. [2] Simplify. a. [1] Multiplication Property of Equality; [2] Distributive Property b. [1] Addition Property of Equality; [2] Distributive Property c. [1] Division Property of Equality; [2] Subtraction Property of Equality d. [1] Addition Property of Equality; [2] Division Property of Equality 11. Graph the function.
3 12. Graph the system of linear inequalities.
4 13. Graph the system of linear inequalities. 14. The graph shows the amount earned in one month by a car salesperson who sells x cars during that month. Identify the slope and y-intercept of the line, and explain what they mean in this real-world context.
5 a. slope = 250 y-intercept = 1100 The car salesperson earns $1100 per month plus $250 for each car he or she sells. b. slope = 1100 y-intercept = 250 The car salesperson earns $1100 per month plus $250 for each car he or she sells. c. slope = 1100 y-intercept = 250 The car salesperson earns $250 per month plus $1100 for each car he or she sells. d. slope = 250 y-intercept = 1100 The car salesperson earns $250 per month plus $1100 for each car he or she sells. 15. There are five animal shelters in Casco County. Every week, each shelter reports the number of dogs and cats that are adopted. Use the data to make a scatter plot. Shelter Number of Number of Dogs Cats North County Midtown Fuzzy Friends Garcia Street Tri-Cities 33 82
6 16. A lawn specialist measured the average temperature during different growing periods and the amount that the grass grew during each period. The scatter plot shows the results of his study. Use the data to predict the growth that would occur if the temperature were 85 F. a. 8 centimeters c. 4.5 centimeters b. 1.8 centimeters d centimeters Short Answer
7 1. Graph the following inequality -4g Graph the system of linear equations. What is the solution of the system? y = 3x - 4 y = x Graph the following on a coordinate plane. y 3x Construct a scatter plot showing: a) positive correlation b) negative correlation c) no correlation
8 Math 8 EQT Study Guide - 2nd Quarter Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 NAT: NT.CCSS.MTH A.CED.1 2. ANS: D PTS: 1 NAT: NT.CCSS.MTH A.CED.1 3. ANS: A PTS: 1 NAT: NT.CCSS.MTH A.SSE.1.a KEY: variable expressions 4. ANS: C PTS: 1 NAT: NT.CCSS.MTH A.SSE.1.a KEY: variable expressions 5. ANS: D PTS: 1 NAT: NT.CCSS.MTH A.SSE.1.a KEY: variable expressions 6. ANS: B PTS: 1 NAT: NT.CCSS.MTH A.REI.3 7. ANS: A PTS: 1 NAT: NT.CCSS.MTH A.REI.5 KEY: system of equations 8. ANS: D PTS: 1 NAT: NT.CCSS.MTH A.REI.6 9. ANS: B PTS: 1 REF: 1122beba df-9c7d f0d2ea OBJ: Solving a System of Linear Equations by Graphing NAT: NT.CCSS.MTH A.REI.6 NT.CCSS.MTH A.REI.11 STA: AL.ALCOS.MTH.09.AL1.8.1 LOC: MTH.C TOP: Solving Systems by Graphing KEY: coordinate plane graphing solving system of equations 10. ANS: D PTS: 1 NAT: NT.CCSS.MTH A.REI.1 NT.CCSS.MTH A.REI.3 TOP: Apply Properties of Equality KEY: proof justification justify linear equation 11. ANS: A PTS: 1 REF: 106db27a df-9c7d f0d2ea OBJ: Graphing Functions NAT: NT.CCSS.MTH A.REI.10 NT.CCSS.MTH F.IF.2 LOC: MTH.C TOP: Graphing Functions KEY: graph function 12. ANS: A PTS: 1 REF: 11490b8a df-9c7d f0d2ea OBJ: Graphing Systems with Parallel Boundary Lines NAT: NT.CCSS.MTH A.REI.12 STA: AL.ALCOS.MTH.09.AL1.8.1 LOC: MTH.C TOP: Solving Systems of Linear Inequalities KEY: inequalities system linear 13. ANS: A PTS: 1 REF: 11490b8a df-9c7d f0d2ea OBJ: Graphing Systems with Parallel Boundary Lines NAT: NT.CCSS.MTH A.REI.12 STA: AL.ALCOS.MTH.09.AL1.8.1 LOC: MTH.C TOP: Solving Systems of Linear Inequalities KEY: inequalities system linear 14. ANS: A PTS: 1 OBJ: Application: Use Slopes and y-intercepts to Graph Lines NAT: NT.CCSS.MTH S.ID.7 TOP: Using Slopes and Intercepts
9 KEY: coordinate plane graph linear equation slope y-intercept 15. ANS: D PTS: 1 REF: 97379d9d dd-8a f11039 OBJ: Making a Scatter Plot NAT: NT.CCSS.MTH SP.1 LOC: MTH.C TOP: Scatter Plots KEY: construct scatter plot 16. ANS: C PTS: 1 REF: 9e8bdd dd-8a f11039 OBJ: Using a Scatter Plot to Make Predictions NAT: NT.CCSS.MTH SP.2 STA: AL.ALCOS.MTH LOC: MTH.C MTH.C MTH.C TOP: Scatter Plots KEY: scatter plot data set prediction SHORT ANSWER 1. ANS: g 4 a graph closed circle at four pointing in the right direction PTS: 1 2. ANS: Solution (2, 2) PTS: 1 3. ANS: A line hitting the y-axis at + 2 increasing at a rate of 3/1. The line should be closed with the area above the line shaded. PTS: 1 4. ANS: Three scatter plots: one increasing, one decreasing, and one scattered with no correlation PTS: 1
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