SUMMER PACKET FOR HONORS ALGEBRA ONE

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Sharleen Quinn
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1 SUMMER PACKET FOR HONORS ALGEBRA ONE Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Write an algebraic expression for the phrase.. the sum of b and a. b c. b + b. the product of g and a. g g + c. g. times the sum of q and p a. q + p + q + p c. qp (q + p). times the quantity q minus a. q q( ) c. (q ) Define a variable and write an expression for the phrase.. the quotient of times a number and a. c.. minus a number a. n n c. 7. The total cost to rent a row boat is $8 times the number of hours the boat is use Write an equation to model this situation if c = total cost and h = number of hours. a. c = 8h c 8 = h c. h = 8c 8. What equation models the data in the table if d = number of days and c = cost? Days Cost 0 a. d = c c = d c. c = d + d c = d + 9. An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral triangle if P = perimeter and s = length of a side? a. s = P P = s c. P = + s P = (s + s + s) 0. Evaluate u + xy, for u = 8, x = 0, and y = 8. a. 88 c. 98. A pair of shoes costs $.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate. a. $9.8 $0.99 c. $7. $78.9. When simplifying an expression, you perform operations inside grouping symbols first.. Evaluate the expression for a = and b =. a. c. 8. You can use the formula to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is F in degrees Celsius? Round your answer to the nearest tenth. a. 0 C.7 C c.. C. C. A rational number is a real number.

2 . Write the number. in the form, using integers, to show that it is a rational number. a. c. 7. Simplify each element in the matrix. a. c. 8. Evaluate for x = and y =. a. 8 c. Simplify the expression. 9. a. 08 c a c a c a. c...8 (.9) +.7 a..8 c..8.. a. c. 8. a. c.. a. c. 7..(.9) a...8 c a. c a. 0 c. 0. (m + 8) a. m + 8 c. m + 7 m + 9 m + 9. ( c)() a. + c + c c. c c. a. c.. a. 8 9 c. 8

3 a...9 c a. c. 7. a. 8n + 8mn np c. n + 9mn 7np n + 9m 7p n 9mn + 7np 7. Evaluate the formula for B = 9 in. and h = in. a. 88 in. 9. in. c. in. 9 in. 8. Name the set(s) of numbers to which.8 belongs. a. rational numbers natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers none of the above 9. Name the set(s) of numbers to which belongs. a. whole numbers, natural numbers, integers rational numbers c. whole numbers, integers, rational numbers integers, rational numbers 0. Which set of numbers is the most reasonable to describe the number of desks in a classroom? a. whole numbers c. rational numbers irrational numbers integers. Order the numbers from least to greatest. a. c.. The opposite of a negative number is negative.. Write,, in order from least to greatest. a.,,,, c.,,. a Which number line model can you use to simplify +? a. +,, = c. + = = =. A mountain climber ascends a mountain to its peak. The peak is,70 ft above sea level. The climber then descends 00 ft to meet a fellow climber. Find the climber s elevation above sea level after meeting the other climber. a.,0 ft,0 ft c. 0,70 ft,90 ft

4 7. Evaluate x +.7 for x = 0.9. a..8. c The temperature on a summer afternoon is 8 F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of degrees Fahrenheit. a. + c; + () = 9 c. c; () = c; 8 + () = 7 8 c; 8 () = 9 9. Simplify 9 0 using a number line. a c Evaluate b a c for a =, b =, and c =. a. c The closing price of a share of stock in Company XYZ is $.9 on Thursday. If the change from the closing price on Wednesday is $0.7, find the closing price on Wednesday. a. $. $.9 c. $.7 $.0. You made two deposits to your bank account this month. One deposit was $7.9, and the second deposit was $.. Your balance at the end of the month is $7., and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month. a. $7. + ($7.9 $.); $7.90 $7. $7.9 $.; $9.0 c. $7. + $7.9 + $.; $0. $7. ($7.9 $.); $9.7. Evaluate x( y + z) for x =, y =, and z =. a. 0 c.. The expression can be used to calculate the change in temperature in degrees Fahrenheit for an increase in altitude a, measured in feet. A plane starts on the ground and then rises,000 ft. Find the change in temperature at the altitude of the plane. a.. degrees c. degrees. degrees degrees. The product of two negative numbers is positive.. () a. c. 7. Evaluate for m =, n =, and p =.. a. 0 9 c If a is a negative number, then is equal to. 9. Evaluate for a = and b =. a. c. 0. Simplify 7(99) using the Distributive Property. a c. 8. Use the Distributive Property to find the price of 7 CDs that cost $.99 each. a. $0.00 $98.00 c. $0.9 $0.70. For every real number x, y, and z, the statement is true.

5 . 0z 8z a. 8z 8z c. 8 8z Name the property the equation illustrates.. a. Inverse Property of Multiplication Multiplication Property of c. Identity Property of Addition Identity Property of Multiplication. 0 + x = x a. Identity Property of Addition Multiplication Property of 0 c. Commutative Property of Addition Inverse Property of Multiplication. 8 8 = a. Identity Property of Division Inverse Property of Addition c. Inverse Property of Multiplication Multiplication Property of (.) = 0 a. Inverse Property of Addition Addition Property of 0 c. Identity Property of Addition Inverse Property of Multiplication =. + 8 a. Inverse Property of Addition Associative Property of Addition c. Commutative Property of Addition Inverse Property of Multiplication ( + ) = (7 + ) + a. Inverse Property of Addition Associative Property of Addition c. Commutative Property of Multiplication Commutative Property of Addition 70. a. Associative Property of Addition Commutative Property of Multiplication c. Inverse Property of Multiplication Commutative Property of Addition 7. (ab) = a(b) a. Inverse Property of Multiplication Associative Property of Addition c. Associative Property of Multiplication Commutative Property of Multiplication 7. At the grocery store, you buy a carton of milk for $.9, a loaf of bread for $0.8, and a bag of cookies for $.0. Use mental math to find the total cost of the groceries. a. $. $.90 c. $.00 $.8

6 7. What are the coordinates of point A? y A x a. (, ) (, ) c. (, ) (, ) 7. In which quadrant or on which axis would you find the point (, )? a. Quadrant III Quadrant II c. Quadrant IV y-axis 7. The point (a, b) is in Quadrant II when a < Which of the scatter plots shows a positive correlation? a. y c. y x x y y x x 77. Write the coordinates of the point that is 9 units to the left of the y-axis and units above the x-axis. a. ( 9, ) (9, ) c. ( 9, ) (, 9)

7 Short Answer 78. a. Write an equation to show how the amount of money in a jar of nickels is related to the number of nickels in the jar. If the jar contains 0 nickels, how much money is this? 79. Graph the points on the same coordinate plane. A(, ), B(, ), C(, ) y x 80. The population of an endangered animal species has been increasing. Make a scatter plot using the data given in the table. Year Population Pop Year

8 Essay 8. a. Simplify the following expressions. What is the sign of the final answer when the exponent is odd? When the exponent is even? c. Use your answer from part (b) to simplify. 8. Justify each step. a. 7 + (x ) + x = 7 + x + x = 7 + x + () + x c. = 7 + () + x + x = 7 + () + ( + )x e. = 7 + () + 7x f. = + 7x g. = 7x + 8. Simplify the expression. Justify each step. x + 9x Other 8. Is the statement below true or false? If the statement is false, give a counterexample. All real numbers are rational. 8. Is the following statement true or false for all values of a and b? If false, give a counterexample.

Unit Essential Questions. How can you represent quantities, patterns, and relationships? How are properties of real numbers related to algebra?

Unit Essential Questions. How can you represent quantities, patterns, and relationships? How are properties of real numbers related to algebra? Unit Essential Questions How can you represent quantities, patterns, and relationships? How are properties of real numbers related to algebra? Williams Math Lessons TARGET RATING 3 VARIABLES AND EXPRESSIONS