Algebra Readiness Practice Test

Transcription

1 Algebra Readiness Practice Test Short Answer Simplify Write a number to represent the quantity. 2. a loss of five yards 3. The table shows the lowest point below sea level for five continents. Order the locations from highest to lowest. Continent Location Feet Below Sea Level Asia Dead Sea 1,312 North America Death Valley 282 South America Valdes Peninsula 131 Europe Caspian Sea 92 Africa Lake Assal Simplify. Compare. Use >, <, or = to complete the statement Write the numerical expression for the model. Find the sum. Let one white tile equal +1 and one black tile equal What integer can be represented by 16 positive tiles and 26 negative tiles? 8. Write a number sentence for the model. Let one white tile equal +1 and one black tile equal 1.

2 9. A submarine at the surface dives 375 ft and then another 175 ft. Express the final depth as an integer. 10. A checking account is overdrawn if it has a negative balance. Marc s account is overdrawn by $45. What will the balance be after he deposits $170 and writes a check for $59? 11. Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden? 12. A basketball drops from a height of 76 in. On bounce 1, it rebounds to a height of 38 in. On bounce 2, it rebounds to a height of 19 in. How high does the basketball bounce on bounce 3? Simplify the product ( 7) In which quadrant does the point lie? Write the coordinates of the point. 14. B 15. Use the information in the table to write an algebraic expression for each situation.

3 a. the number of Calories in b slices of bacon and one slice of bread b. the number of Calories in a fruit salad made from p peaches and n bananas c. the number of Calories in a breakfast of two slices of bread, b slices of bacon, and one egg 16. Sara bought a pair of shoes that costs $40 and three pairs of socks that cost $5 a pair. a. Write an expression for the cost of Sara s purchases. b. How much money did Sara spend? 17. The marching band is selling cases of fruit for $13 per case. a. Write an algebraic expression for the cost of f cases of fruit. b. Evaluate the expression for 250 cases. 18. Before swimming, Andrea walks for ten minutes and burns 50 Calories. While swimming, she burns 10 Calories per minute. a. Write an algebraic expression for how many Calories Andrea burns while walking for 10 minutes and swimming for m minutes. b. How many Calories will she burn if she walks for 10 minutes and swims for 39 minutes? 19. The table lists the lowest recorded temperatures. Which continent has the lowest recorded temperature? Explain. Write a rule for the pattern , 4, 7, 10, , 9, 14, 42, 47, 141,... Without computing, tell whether each product or quotient is positive or negative ( 4) Essay

4 23. Describe the steps you would follow in simplifying the expression 2 (7 4) (8 5). Then simplify the expression. 24. Explain how to add integers with the same signs and with different signs. 25. Draw a coordinate plane. Graph the point ( 3, 5). Label the quadrants, axes, origin, x-coordinate, and y-coordinate.

5 Algebra Readiness Practice Test Answer Section SHORT ANSWER Caspian Sea, Valdes Peninsula, Death Valley, Lake Assal, Dead Sea < ; = ft 10. $ ; 2209 ft inches Quadrant III; (-2, -4) 15. a. 37b + 65 b. 35p + 105n c b 16. a (5) b. $ a. f cases: 13f b. $3, a m b. 440 Calories 19. Antarctica had the lowest recorded temperature. Find the negative integer with the greatest absolute value. The number with the greatest absolute value is Start with 1 and add 3 repeatedly. 21. Start with 3, alternate multiplying by 3 and subtracting Positive ESSAY 23. Answers include the order of operations: 1. Do the work inside the grouping symbols first. 2. Multiply and divide in order from left to right. 3. Add and subtract in order from left to right. Expression simplified correctly to 11.

6 Student answers should include Integers with the same sign: The sum of two positive integers is positive. The sum of two negative integers is negative. Integers with different signs: To add integers with different signs, find the difference of their absolute values. The sum has the sign of the integer with the greater absolute value.