Coordinate Algebra Units 1 & 2 EOCT Review

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1 Coordinate Algebra Units 1 & 2 EOCT Review Name: 1. A forest owned by the Jumbo Lumber Corporation contains 7,118 trees. If Jumbo Lumber cuts down 42 trees every day, which function can be used to find the number of trees, n, left in the forest after t days? n = 7, t n = 7,118t 42 n = (7,118-42)t D. n = 7,118 42t 2. Solve the following inequality for x: 3.9x + 9 > 24.6 x < 8.62 x >8.62 x < 4 D. x > 4 3. A baseball league is holding registration for both a men's league and a women's league. Only a total of 30 players can register, and each team consists of exactly 10 players. If 18 women's teams have already registered, which inequality could be used to find m, the number of men's teams that can register? 18(10) + 10m > 30 18( m) < 30 18(10) + 10m < 30 D. 18( m) > Find the solution to the system of equations given. 2x + 10y = 20 x + 3y = 6 (12, -2) (18, -4) (-6, 4) D. (0, 2). Solve the inequality for z. 7z + 8 > 2z + 38 z > 6 z > 46 z < 46 D. z > 6 6. Mikey is reading a 733-page book. Today he started reading on page 104; he had started reading last week. If he reads for x hours at 24 pages per hour, which equation represents how long it will take him to finish the book? 24x = x + 24 = x = 733 D. 24x = The density, d, of an object is given by the following formula, where m represents the mass of the object and V represents the volume of the object. d = m v Heather was asked to find the density of a brick given the mass in kilograms and the dimensions of the brick in meters. She wrote her answer, 2,400 kilograms per square meter, on the chalkboard. Without even performing the calculations first, Jonathan knew right away that her answer was incorrect. How could he tell there was an error? The units should be cubic meters. The units should be kilograms per meter. The units should be kilograms. D. The units should be kilograms per cubic meter. 8. Given the following formula, solve for r. (Assume that r is a positive real number.) S = 4πr 2 r = 4Sπ r = 4π S r = S2 4π D. r = S 4π

2 9. Speed (S) is measured in meters per second using the formula below, where d is distance traveled in meters and t is time in seconds. S = d t If an object is moving at a speed of 6 meters per second for a time of 8 seconds, how far did the object travel? 48 meters 6 meters 42 meters D. 14 meters 10. Based on the data in the graph, which of the following is the best estimate of the number of students who voted for "blue", if 17 students voted? D Solve for x. 6x + = 3x + 11 x = 3 x = 2 x = 4 D. x = Indicate which property is being used in Step 1. Commutative Associative Distributive Step 1: x x + 6 = (x + 3) + (4x + 6) Step 2: = x + (3 + 4x) + 6 Step 3: = x + (4x + 3) + 6 Step 4: = (x + 4x) + (3 + 6) Step : = ( + 4)x + (3 + 6) Step 6: = 9x + 9 D. Arithmetic Fact 13. Brandon writes math problems for a publishing company. This week he has already written 12 problems. There are 3 days left in the work week. He set a goal for himself to write at least 39 problems this week. If this situation is modeled by the inequality below, what is the average number of problems, x, he needs to write each of the remaining work days in order to reach his goal? x 39 x 11 x 12 x 7 D. x Indicate which property is illustrated in Step 6. Identity Associative Distributive D. Commutative Step 1: 10 4x 10 + x = (10 4x) + ( 10 + x) Step 2: = (10 4x) + (x 10) Step 3: = 10 + ( 4x + x) 10 Step 4: = 10 + ( 4 + )x 10 Step : = 10 + x 10 Step 6: = x Step 7: = x + 0 Step 8: = x

3 1. Factory XYZ has already produced 427 units today. The factory produces 9 units per hour. Today's goal is to produce at least 1,282 units. If x represents the number of production hours, which of the following inequalities symbolizes this situation? 9x x x D. 9x Which of the following inequalities is graphed on the coordinate plane? y < 1 2 x + 1 y 1 2 x + 1 y > 1 2 x + 1 D. y 1 2 x Solve the following inequality. 4x + 9 < 29 AND 4x 4 12 < x 6 < x 4 x < AND x 4 D. < x In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 6 - T, where 6 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 4 F and the low temperature for the same day was 3 F, what is the number of heating degree days? D The school is having a bake sale and the math club is bringing cupcakes. They have 140 total cupcakes, both chocolate and strawberry. The number of chocolate cupcakes is more than four times the number of strawberry cupcakes. Which system of equations can be used to find how many chocolate cupcakes, c, and strawberry cupcakes, s, the math club has? c + s = 140 c = 4s + c = 4s c 140 = s c + s = 140 s = 4c D. c s = 140 s = 4c Find the solution to the system of equations graphed below. No Solution Infinite Solutions (0, 2) D. (2, 2)

4 21. Indicate which property is being used in Step 4. Commutative Distributive Associative Step 1: 4x x 1 = (4x + 7) + (8x 1) Step 2: = 4x + (7 + 8x) 1 Step 3: = 4x + (8x + 7) 1 Step 4: = (4x + 8x) + (7 1) Step : = (4 + 8)x + (7 1) Step 6: = 12x + 6 D. Arithmetic Fact 22. The Brown family is ordering pizza. They are trying to decide whether to order a large pizza or a monster pizza. A monster pizza, m, has 9 fewer slices than twice the number of slices on a large pizza, l. The difference between the number of slices on a monster pizza and the number of slices on a large pizza is slices. Which system of equations below can be used to determine the number of slices on a large pizza and a monster pizza? 2m l = 9 m l = 23. Solve: 1 x + 1 = x + 3 2m l = 9 m l = m 2l = 9 m l = D. m 2l = m l = 9 x = 1 x = 7 4 x = 1 D. x = Choose the system of inequalities that best matches the graph below. y 2x + 1 y < 4x + 4 y 1 2 x + 1 y > 1 4 x 4 y 1 2 x + 1 y < 1 4 x 4 D. y > 1 2 x + 1 y > 1 4 x Solve for x. 13x + 6 = 14x 7 x = 13 x = 1 x = 27 D. x = Using the two equations below, solve for x. 10x + 3y = 44 2x + y = 8 x = 8 x = x = D. x = 11

5 ANSWER KEY 1. D 2. D 3. C 4. D. A 6. C 7. D 8. D 9. A 10. D 11. B 12. B 13. D 14. D 1. A 16. D 17. D 18. D 19. A 20. C 21. C 22. C 23. C 24. C 2. A 26. B