Chapters 1 and 2 Review Everything you wanted to know about expressions but were afraid to ask.
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Write an algebraic expression for the phrase.
4 times the sum of q and p 4q + p 4 + q + p 4qp 4(q + p)
Define a variable and write an expression for the phrase.
Days Cost 2 44 3 66 5 110 6 132 What equation models the data in the table if d = number of days and c = cost? d = 22c c = 22d c = d + 22d c = d + 22
An equilateral triangle has three sides of equal length 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? s = 3P P = 3s P = 3 + s P = 3(s + s + s)
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Evaluate u + xy, for u = 18, x = 10, and y = 8. 188 36 98 224
A pair of shoes costs $52. 99 and the state sales tax is 8% A pair of shoes costs $52.99 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. $95.38 $60.99 $57.23 $78.19
When simplifying an expression, you ____ perform operations inside grouping symbols first. always sometimes never
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Evaluate the expression for a = 4 and b = 3. 36 24 81 144
You can use the formula to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth. 30°C 16.7°C 52.2°C 2.4°C
Picture Simplify the expression. 108 36 18 9
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Simplify the expression. Picture 29 80 128 92
Picture Simplify the expression. 297 868 437 867
Picture Simplify the expression. 585 169 26 181
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Evaluate the formula for B = 9 in.2 and h = 32 in.
A rational number is ____ a real number. always sometimes never
Name the set(s) of numbers to which 1.68 belongs. rational numbers natural numbers, whole numbers, integers, rational numbers rational numbers, irrational numbers none of the above
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Name the set(s) of numbers to which –5 belongs. whole numbers, natural numbers, integers rational numbers whole numbers, integers, rational numbers integers, rational numbers
Which set of numbers is the most reasonable to describe the number of desks in a classroom? whole numbers irrational numbers rational numbers integers
The opposite of a negative number is ____ negative. always sometimes never
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Picture = 2.8 –2.8
Write a function rule for each table. Hour Worked Pay 2 $15.00 4 $30.00 6 $45.00 8 $60.00 Write a function rule for each table. p = 7.50h p = 15h p = h + 15 h = 7.50p
Write a function rule for each table. Days Cost to Rent a Truck 1 34 2 56 3 78 4 100 Write a function rule for each table. c = 22d + 12 c = 12d + 22 c = 22d + 22 c = 22d
cost; number of players The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity in the situation. time at table; cost cost; time at table number of games; cost cost; number of players
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The french club is holding a car wash fundraiser The french club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between 50 and 75 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values. number of cars; money raised; 50 to 75 cars; $500 to $750 money raised; number of cars; $500 to $750; 50 to 75 cars number of cars; money raised; $500 to $750; 50 to 75 cars money raised; number of cars; 50 to 75 cars; $500 to $750
Simplify the expression. –9 + 6 15 –3 –15 3
Simplify the expression. –4.8 – (–4.9) + 5.7 –4 –5.8 5.8 –15.4
Simplify the expression. Picture 13 –13 12 –12
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Simplify the expression. 3.7 – 1.8 – 3.67 + 4.4 – 1.34 –7.51 –1.29 1.29 8.63
Simplify the expression. –6.5(–4.9) –16.25 –31.85 –12.25 31.85
Simplify the expression. Picture –32 16 –10 32
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Simplify the expression. Picture 20 125 –625 625
Simplify the expression. Picture 36 –72 72 –36
Simplify the expression. (–5 – c)(–1) –5 + c 5 + c 5 – c –5 – c
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Simplify the expression. Picture –18n + 81mn – 153np –2n + 9m – 17p –2n + 9mn – 17np –2n – 9mn + 17np
A mountain climber ascends a mountain to its peak A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber. 12,540 ft –12,540 ft 10,740 ft 12,940 ft
Simplify the expression. Evaluate –x + 2.7 for x = 0.9. –1.8 –3.6 1.8 3.6
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The temperature on a summer afternoon is 85°F The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit. 11 + c; 11 + (–85) = 96 85 + c; 85 + (–11) = 74 11 – c; 11 – (–85) = 74 85 – c; 85 – (–11) = 96
Evaluate for x = –2 and y = 3. 4 8 –4 –8
Evaluate b – 2a – c for a = –7, b = 3, and c = –7. 24 3 10 –18
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The closing price of a share of stock in Company XYZ is $25 The closing price of a share of stock in Company XYZ is $25.69 on Thursday. If the change from the closing price on Wednesday is –$0.75, find the closing price on Wednesday. $26.44 $24.94 $25.75 $25.06
You made two deposits to your bank account this month You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month. $72.31 + ($17.92 – $15.33); $74.90 $72.31 – $17.92 – $15.33; $39.06 $72.31 + $17.92 + $15.33; $105.56 $72.31 – ($17.92 – $15.33); $69.72
Evaluate x(–y + z) for x = 3, y = 3, and z = 1. –6 10 12 –8
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126.5 degrees –126.5 degrees –125 degrees 125 degrees 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 23,000 ft. Find the change in temperature at the altitude of the plane. 126.5 degrees –126.5 degrees –125 degrees 125 degrees
The product of two negative numbers is ____ positive. always sometimes never
–12¸(–2) 24 –6 –24 6
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Evaluate for m = –4, n = 2, and p = 1.5. –10 –19 –30 –22
If a is a negative number, then is ____ equal to –1. always sometimes never
Simplify 7(499) using the Distributive Property. 3500 3493 3514 3486
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Use the Distributive Property to find the price of 7 CDs that cost $14 Use the Distributive Property to find the price of 7 CDs that cost $14.99 each. $105.00 $98.00 $104.93 $105.70
For every real number x, y, and z, the statement is ____ true. always sometimes never
–10z – 28z 38z –38z 18 18z
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Name the property the equation illustrates.
Picture Inverse Property of Multiplication Multiplication Property of –1 Identity Property of Addition Identity Property of Multiplication
0 + x = x Identity Property of Addition Multiplication Property of 0 Commutative Property of Addition Inverse Property of Multiplication
8´1/8 = 1 Identity Property of Division Inverse Property of Addition Inverse Property of Multiplication Multiplication Property of –1
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8.2 + (–8.2) = 0 Inverse Property of Addition Addition Property of 0 Identity Property of Addition Inverse Property of Multiplication
8 + 3.4 = 3.4 + 8 Inverse Property of Addition Associative Property of Addition Commutative Property of Addition Inverse Property of Multiplication
7 + (4 + 4) = (7 + 4) + 4 Inverse Property of Addition Associative Property of Addition Commutative Property of Multiplication Commutative Property of Addition
Picture Associative Property of Addition Commutative Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition
(ab)3 = a(b3) Inverse Property of Multiplication Associative Property of Addition Associative Property of Multiplication Commutative Property of Multiplication
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