Practice Test - Chapter Evaluate if x = 3 and y = 1. SOLUTION: 2. Simplify. SOLUTION:
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1 1. Evaluate if x = 3 and y = Simplify. 3. MULTIPLE CHOICE If what is the value of A 105 B 9 C D 6 Substitute m = 6 in 2m 3. So, the correct choice is B. esolutions Manual - Powered by Cognero Page 1
2 4. Solve for p. Write an algebraic expression to represent each verbal expression. 5. twice the difference of a number and 11 Let n be a number. The words twice the difference of a number and 11 represents the expressions 2(n 11). 6. the product of the square of a number and 5 Let n be a number. The words the product of the square of a number and 5 represents the expression 5n Evaluate if y = 2.5. Substitute y = 2.5 in the expression. esolutions Manual - Powered by Cognero Page 2
3 8. Solve. Graph the solution set on a number line. To graph this inequality, draw an open circle at 2 and draw an arrow extending to the left. 9. MONEY Carson has $35 to spend at the water park. The admission price is $25 and each soda is $2.50. Write an inequality to show how many sodas he can buy. Let s represent the number of sodas he can buy s 10. Solve or Graph the solution set. or So, the solution of the inequalities is. To graph this inequality, draw an open circle at 2 with an arrow extending to the left and an open circle at an arrow extending to the right. with esolutions Manual - Powered by Cognero Page 3
4 11. Solve Graph the solution set on a number line. The solution set is. To graph this inequality, draw solid circles at 7 and 15 and connect them with a solid line segment. 12. MULTIPLE CHOICE Which graph represents the solution set for F G H J The graph in the choice F represents the solution set. So, the correct choice is F. esolutions Manual - Powered by Cognero Page 4
5 13. MONEY Sofia is buying new skis. She finds that the average price of skis is $500 but the actual price could differ from the average by as much as $250. Write and solve an absolute value inequality to describe this situation. Let p represents the actual price. The absolute value inequality representing the situation is. Solve the absolute value inequality. 14. GARDENING Andy is making 3 trapezoidal garden boxes for his backyard. Each trapezoid will be the size of the trapezoid below. He will place stone blocks around the borders of the boxes. How many feet of stones will Andy need? The perimeter of each stone block = ( ) ft. Therefore, perimeter of 3 stone blocks = 3( ) ft. So, Andy will need 102 feet of stones. esolutions Manual - Powered by Cognero Page 5
6 Solve each equation. 15. There appear to be two solutions, 1 and 7. Check: Substitute each value in the original equation. The solution set is. esolutions Manual - Powered by Cognero Page 6
7 16. There appear to be two solutions,. Check: Substitute each value in the original equation. The solution set is. 17. Since the absolute value of can not be negative, the solution set is. esolutions Manual - Powered by Cognero Page 7
8 18. There appear to be two solutions, 3 and 8. Check: Substitute each value in the original equation. The solution set is. esolutions Manual - Powered by Cognero Page 8
9 19. There appear to be two solutions,. Check: Substitute each value in the original equation. The solution set is. 20. Since the absolute value of any number can not be negative, the solution set is. esolutions Manual - Powered by Cognero Page 9
10 21. GEOMETRY The volume of a cylinder is given by the formula. What is the volume of the cylinder below? Radius(r) of the cylinder is 6 cm. Substitute r = 6, and h = 9 in the formula V = πr 2 h. The volume of the cylinder is about cubic centimeters. 22. Solve. Graph the solution set on a number line. To graph this inequality, draw a solid circle at and draw an arrow extending to the right. esolutions Manual - Powered by Cognero Page 10
11 23. Evaluate if and. 24. Name the set(s) of numbers to which belongs. The number is a real number. Since can be expressed as a ratio where a and b are integers and b is not 0 it is also a rational number. It is not a part of the set { -2, -1, 0, 1, 2, } so it is not an integer. Since it is not a part of the set { 0, 1, 2, 3, } it is not a whole number or a natural number. Q, R esolutions Manual - Powered by Cognero Page 11
12 25. MONEY The costs for making necklaces at two craft stores are shown in the table. For what quantity of beads does The Accessory Store have a better deal? Use the inequality When you buy 6 or fewer beads, The Accessory Store is a better deal. esolutions Manual - Powered by Cognero Page 12
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