A. B. A. B. A. B. Topic 1 & 2 Practice Test. Question 1.

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1 Question 1. Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each gallon of milk costs $4.49. Consider the expression 2.79x (x 3). Determine if each statement is True or False. The term x 3 represents the number of gallons of milk. True False The coefficient 2.79 represents the cost of one box of cereal. True False The expression represents the total number of boxes of cereal and gallons of milk. True False 1/23

2 Question 2. The formula y = m x + b is the slope-intercept form of the equation of a line where m is the slope of the line, b is the y -intercept, and (x, y ) is a solution of the equation. The equation solved for b is b = y m x. True False The equation solved for x is x = y b m. True False The equation solved for m is m = x (y b ). True False 2/23

3 Question 3. Solve the following equation for x. 1 (5x + 12) = 2x 3 2 x = 3/23

4 Question 4. A factory produces 5 packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams and 95 grams. Each package has a mass of 15 grams. Enter a compound inequality to represent the mass of a single pencil in a pack. Can each pencil have a mass of 10.5 grams? Complete the explanation. The compound inequality can be entered as. Each pencil has a mass between 9 and g., inclusive, so a pencil (select) have a mass of 10.5 g. 4/23

5 Question 5. The relation shown in the table represents the number of various books sold and their total cost. Number of books sold, x Cost ($), y Is each statement True? The domain is all real numbers. Yes No The range is 5, 6, 8, 12. Yes No The relation is a function. Yes No 5/23

6 Question 6. A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute walk? Write an equation in function notation for the situation, and then use it to solve the problem. Determine if the given statement is True or False. The dependent variable is the number of hours. True False The function for the walker's fee is f (h ) = 30h + 6. True False The dog walker charges $22.50 for a 45 minute walk. True False 6/23

7 Question 7. Consider a sequence defined by the explicit rule f (n ) = (n 1). Choose True or False for each statement. f (1) = 8 True False The common difference is 3. True False The fifth term of the sequence is 7. True False 7/23

8 Question 8. Find the first 4 terms of the sequence defined by the explicit rule f (n ) = 7(n 1) 10. Is it an arithmetic sequence? Complete the explanation. The first four terms are,,, and. It (select) an arithmetic sequence. Each term is increasing by a common difference of. 8/23

9 Question 9. Solve. 12 5(x + 4) = 3x x = 9/23

10 Question 10. Solve. 100x 200 > 50x 100 x? 10/23

11 Question 11. Solve. 4 < 2x < x 11/23

12 Question 12. What is the general process for solving an equation with one variable? Apply the properties of (select) with the aim of isolating the (select) on one side of the equation. 12/23

13 Question 13. Solve for x in the mathematical formula y = m x + b. Drag and drop the variables into the correct boxes to complete the formula. x = b y m 13/23

14 Question 14. Solve for p in the literal equation 7p + 8r = q. p = 14/23

15 Question 15. A student was asked to use the formula for the perimeter of a rectangle, P = 2l + 2w, to solve for l. The student came up with an answer, P 2w = 2l. What error did the student make? Complete the explanation. Then solve for l. The student only rearranged the formula so (select) but did not (select). The formula for l is l =. 15/23

16 Question 16. Complete the recursive rule and an explicit rule for the arithmetic sequence described by the table. Month n Account Balance ($) f(n) f(1) = The common difference is. The recursive is f(1) =, f(n) = f(n 1) for n. The explicit rule is f(n) = (n 1). 16/23

17 Question 17. Tell whether each sequence is an arithmetic sequence. Select Yes or No for each sequence. Sequence Yes No 1:5, 6, 7, 8, 9,... 2:5, 10, 20, 35, 55,... 2:0, 2, 2, 4, 4,... 2:1, 16, 81, 625, 1296,... 1: 4, 6, 8, 10, 12, /23

18 Question 18. The cost of a hamburger is $2.50. Each additional hamburger costs $1.50. Sully wrote this explicit rule to explain the sequence of costs: f (n ) = (n 1). Using this rule, he found the cost of 11 hamburgers to be $ Is this number correct? If not, identify Sully's error. Part 1 He (select) the first term and the common difference. Sully's explicit rule was (select). Part 2 The correct rule is f (n ) = + (n 1). The actual cost of 11 hamburgers is $. 18/23

19 Question 19. Solve for j in the literal equation h 19 = k. j j = 19/23

20 Question 20. Consider the new expression that is obtained by simplifying 8(x 1) Select True or False for each statement. The new expression has 3 terms. True False The coefficient of x in the new expression is 8. True False The constant in the new expression is 14. True False 20/23

21 Question 21. Look at each equation and possible solution. Is the solution correct? Select Yes or No for each equation. 3 m = 2 (m + 6); m = 15 Yes No 5 (p + 3) = 35; p = 4 Yes No 8q = 3 (10 + q ); q = 6 Yes No 21/23

22 Question 22. The formula for finding the volume of a triangular prism is V = 1 (b h ), where b represents the base 2 length, h represents the base height, and each statement. represents the length of the prism. Select True or False for The formula solved for h is h = 2V b. True False The formula solved for is = 2V b h. A. True B. False The formula solved for b is b = 2V b h. A. True B. False 22/23

23 Question 23. Sherman hopes to get at least a 90 average on his science tests. He has one more test before the end of the school year. His past test scores are 79, 94, 91, and 92. What is the lowest score Sherman can get on his final test and reach his goal? Sherman should get at least on his final test. 23/23

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