linear equations in two variables linear equations (modeling) Questions

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1  A linear function that models a real-life situation is called a _____.
A ) linear model
B ) non-standard model
C ) non-linear model
D ) standard model
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2  A linear function that models a real-life situation is called a _____.

A ) linear model
B ) non-standard model
C ) non-linear model
D ) standard model
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3  The productivity of an oil plant increases by 5 barrels every month in a particular year. The total number of barrels produced by the plant by the 7th month is 35 barrels. Write a linear model for the number of barrels b produced over the months p.
A ) b = -7p
B ) b = 7p
C ) b = 5p
D ) b = -5p
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4  The productivity of an oil plant increases by 5 barrels every month in a particular year. The total number of barrels produced by the plant by the 7th month is 35 barrels. Write a linear model for the number of barrels b produced over the months p.
A ) b = -7p
B ) b = 7p
C ) b = 5p
D ) b = -5p
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5  Ashley went to bakery to buy a few burgers and pizzas. The cost of one burger is $4 and cost of one pizza is $7. Ashley has $33 to buy burgers and pizzas. Write an equation that models the number of burgers and pizzas that Ashley can buy.

A ) 4x + 7y = 33
B ) x + 7y = 33
C ) 4x + y = 33
D ) 4x + 7y = 36
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6  Ashley went to bakery to buy a few burgers and pizzas. The cost of one burger is $4 and cost of one pizza is $7. Ashley has $33 to buy burgers and pizzas. Write an equation that models the number of burgers and pizzas that Ashley can buy.

A ) 4x + 7y = 33
B ) x + 7y = 33
C ) 4x + y = 33
D ) 4x + 7y = 36
View Solution

7  Jerald went to buy few shirts and shorts. Cost of each shirt is $50 and cost of one shorts is $44. Jerald has an amount of $288 to spend on shirts and shorts. Write an equation that models the number of shirts and shorts that Jerald can buy.
A ) 44x + 44y = 288
B ) 50x + 50y = 288
C ) 50x + 44y = 298
D ) 50x + 44y = 288
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8  Jerald went to buy few shirts and shorts. Cost of each shirt is $50 and cost of one shorts is $44. Jerald has an amount of $288 to spend on shirts and shorts. Write an equation that models the number of shirts and shorts that Jerald can buy.
A ) 44x + 44y = 288
B ) 50x + 50y = 288
C ) 50x + 44y = 298
D ) 50x + 44y = 288
View Solution

9  Brian has to set up an office with a few computers and desks. Cost of a computer is $600 and cost of a table is $30. The total cost to set up the office is $1890. Write an equation that models the number of computers and desks that Brian can set up.
A ) 600x + y = 1890
B ) x + 30y = 1890
C ) 600x + 30y = 1890
D ) 600x + 30y = 1990
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10  Brian has to set up an office with a few computers and desks. Cost of a computer is $600 and cost of a table is $30. The total cost to set up the office is $1890. Write an equation that models the number of computers and desks that Brian can set up.
A ) 600x + y = 1890
B ) x + 30y = 1890
C ) 600x + 30y = 1890
D ) 600x + 30y = 1990
View Solution

11  Jimmy bought textbooks and workbooks for $122. Cost of one textbook is $20 and cost of one workbook is $11. Write an equation that models the number of textbooks and workbooks Jimmy bought.

A ) 11x + 20y = 122
B ) 20x + 11y = 132
C ) 20x + 11y = 122
D ) x + 11y = 122
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12  Jimmy bought textbooks and workbooks for $122. Cost of one textbook is $20 and cost of one workbook is $11. Write an equation that models the number of textbooks and workbooks Jimmy bought.

A ) 11x + 20y = 122
B ) 20x + 11y = 132
C ) 20x + 11y = 122
D ) x + 11y = 122
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13  Real-life rate of change can be represented by ____.
A ) linear equation
B ) non-linear equation
C ) slope
D ) intercept
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14  Real-life rate of change can be represented by ____.
A ) linear equation
B ) non-linear equation
C ) slope
D ) intercept
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15  From 1980 to 2000, the price of linseed oil increased by $4 per gallon per decade. In the year 2000, the price of linseed oil was $13 per gallon. Write a linear model for the price per gallon of linseed oil p over the number of decades t.

A ) p = 4t + 13
B ) p = 4t + 8
C ) p = 13t + 4
D ) p = 4t + 5
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16  From 1980 to 2000, the price of linseed oil increased by $4 per gallon per decade. In the year 2000, the price of linseed oil was $13 per gallon. Write a linear model for the price per gallon of linseed oil p over the number of decades t.

A ) p = 4t + 13
B ) p = 4t + 8
C ) p = 13t + 4
D ) p = 4t + 5
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17  From 1980 to 2000, the price of crude oil increased by $2 per barrel per decade. In the year 2000, the price of crude oil was $20. What was the price of the crude oil per barrel in the year 1990?

A ) $28
B ) $13
C ) $38
D ) $18
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18  From 1980 to 2000, the price of crude oil increased by $2 per barrel per decade. In the year 2000, the price of crude oil was $20. What was the price of the crude oil per barrel in the year 1990?

A ) $28
B ) $13
C ) $38
D ) $18
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19  From 1980 to 2000, the price of crude oil increased by $30 per barrel per decade. In the year 2000, the price of crude oil was $60. Find the slope of the linear model for the situation.

A ) 30
B ) 50
C ) 60
D ) 40
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20  From 1980 to 2000, the price of crude oil increased by $30 per barrel per decade. In the year 2000, the price of crude oil was $60. Find the slope of the linear model for the situation.

A ) 30
B ) 50
C ) 60
D ) 40
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21  From 1990, the production of wheat increased by 4 thousand tons every year. In the year 1995, the total production of wheat was 47 thousand tons. Write a linear model for the production of wheat p over the years t.
A ) p = -4t - 27
B ) p = -4t + 27
C ) p = 4t + 27
D ) p = 4t - 27
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22  From 1990, the production of wheat increased by 4 thousand tons every year. In the year 1995, the total production of wheat was 47 thousand tons. Write a linear model for the production of wheat p over the years t.
A ) p = -4t - 27
B ) p = -4t + 27
C ) p = 4t + 27
D ) p = 4t - 27
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23  From 1990, the production of wheat was increasing by 3 thousand tons every year. In the year 1995, the total production of wheat was 30 thousand tons. Find the slope of the linear model for the situation.
A ) 5
B ) 4
C ) 3
D ) 2
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24  From 1990, the production of wheat was increasing by 3 thousand tons every year. In the year 1995, the total production of wheat was 30 thousand tons. Find the slope of the linear model for the situation.
A ) 5
B ) 4
C ) 3
D ) 2
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25  The United States postage rates per oz have been increasing by 10 cents in 10 years from 1970. The price of letter per 1 oz in year 1980 was 30 cents. Write a linear model for the letter rates r over the years t.

A ) r = t + 20
B ) r = -t - 20
C ) r = t - 20
D ) r = -t + 20
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26  The United States postage rates per oz have been increasing by 10 cents in 10 years from 1970. The price of letter per 1 oz in year 1980 was 30 cents. Write a linear model for the letter rates r over the years t.

A ) r = t + 20
B ) r = -t - 20
C ) r = t - 20
D ) r = -t + 20
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27  The United States letter rates per oz have been increasing by 10 cents in 10 years from 1970. The price of letter per oz in year 1980 was 40 cents. Predict the letter rates in the year 2010.
A ) 70 cents
B ) 80 cents
C ) 75 cents
D ) 72 cents
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28  The United States letter rates per oz have been increasing by 10 cents in 10 years from 1970. The price of letter per oz in year 1980 was 40 cents. Predict the letter rates in the year 2010.
A ) 70 cents
B ) 80 cents
C ) 75 cents
D ) 72 cents
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29  The length of the banana tree increases by 3 feet every year, since it was planted in the year 1993. The length of the tree in the year 1995 was 9 feet. What could be the height of the banana tree in feet when it was planted?
A ) 5 feet
B ) 3 feet
C ) 2 feet
D ) 4 feet
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30  The length of the banana tree increases by 3 feet every year, since it was planted in the year 1993. The length of the tree in the year 1995 was 9 feet. What could be the height of the banana tree in feet when it was planted?
A ) 5 feet
B ) 3 feet
C ) 2 feet
D ) 4 feet
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31  Henry bought a few footballs and baseballs for $160. A football costs $50 and a baseball costs $30. Write an equation that models the number of footballs and basketballs Henry bought.
A ) 50x - 30y = 160
B ) 50x + 30y = 160
C ) -50x + 30y = 160
D ) 50x + 30y = -160
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32  Henry bought a few footballs and baseballs for $160. A football costs $50 and a baseball costs $30. Write an equation that models the number of footballs and basketballs Henry bought.
A ) 50x - 30y = 160
B ) 50x + 30y = 160
C ) -50x + 30y = 160
D ) 50x + 30y = -160
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33  Victor bought a few pounds of potatoes and tomatoes for $26. One-pound of potatoes cost $4 and one-pound tomatoes cost $5. Write an equation that models the number of pounds of potatoes and tomatoes Victor bought.

A ) 4x - 5y = 26
B ) 4x + 5y = -26
C ) 4x + 5y = 26
D ) -4x + 5y = 26
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34  Victor bought a few pounds of potatoes and tomatoes for $26. One-pound of potatoes cost $4 and one-pound tomatoes cost $5. Write an equation that models the number of pounds of potatoes and tomatoes Victor bought.

A ) 4x - 5y = 26
B ) 4x + 5y = -26
C ) 4x + 5y = 26
D ) -4x + 5y = 26
View Solution

35  Arthur is buying a few fans and bulbs. One fan costs $30 and one bulb costs $15. Arthur has $210 to spend on fans and bulbs for his new house. Write an equation that models the number of fans and bulbs Arthur can buy.

A ) 30x - 15y = 210
B ) -30x + 15y = 210
C ) 30x + 15y = -210
D ) 30x + 15y = 210
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36  Arthur is buying a few fans and bulbs. One fan costs $30 and one bulb costs $15. Arthur has $210 to spend on fans and bulbs for his new house. Write an equation that models the number of fans and bulbs Arthur can buy.

A ) 30x - 15y = 210
B ) -30x + 15y = 210
C ) 30x + 15y = -210
D ) 30x + 15y = 210
View Solution

37  Tommy bought some soaps and shampoo bottles for $63. Cost of one soap is $3 and cost of one shampoo bottle is $12. Write an equation that models the number of soaps and shampoos Tommy bought.
A ) 3x - 12y = 63
B ) -3x + 12y = 63
C ) 3x + 12y = 63
D ) 3x + 12y = -63
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38  Tommy bought some soaps and shampoo bottles for $63. Cost of one soap is $3 and cost of one shampoo bottle is $12. Write an equation that models the number of soaps and shampoos Tommy bought.
A ) 3x - 12y = 63
B ) -3x + 12y = 63
C ) 3x + 12y = 63
D ) 3x + 12y = -63
View Solution

39  Write a linear model that represents the total number of legs of x bears and y Vultures, if the total legs of bears and Vultures is 240.
A ) 4x + 2y = 240
B ) 2x + 4y = 240
C ) x + 2y = 240
D ) None of the above
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40  Write a linear model that represents the total number of legs of x bears and y Vultures, if the total legs of bears and Vultures is 240.
A ) 4x + 2y = 240
B ) 2x + 4y = 240
C ) x + 2y = 240
D ) None of the above
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41  The sum of 7 times a number and 2 times another number is 25. Write a linear equation that models the sum of the numbers.

A ) x + 2y = 25
B ) x + y = 25
C ) 7x + 2y = 25
D ) None of the above
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42  The sum of 7 times a number and 2 times another number is 25. Write a linear equation that models the sum of the numbers.

A ) x + 2y = 25
B ) x + y = 25
C ) 7x + 2y = 25
D ) None of the above
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43  Which of the following statements is true for the equation y - 43 = 46, when y = 89?

A ) Not a solution
B ) Is a solution
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44  Which of the following statements is true for the equation y - 43 = 46, when y = 89?

A ) Not a solution
B ) Is a solution
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45  Which of the following choices is the solution for the equation n(-2) = 15?
A ) 36
B ) -30
C ) 30
D ) 35
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46  Which of the following choices is the solution for the equation n(-2) = 15?
A ) 36
B ) -30
C ) 30
D ) 35
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47  Francis consumes 3 liters of water per day. In how many days will he consume 9 liters of water?

A ) 3
B ) 5
C ) 4
D ) 2
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48  Francis consumes 3 liters of water per day. In how many days will he consume 9 liters of water?

A ) 3
B ) 5
C ) 4
D ) 2
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