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78 items match · Math · Linear equations in two variables

Easy Math · Algebra · Linear equations in two variables · MCQ figure

  • The line slants sharply down from left to right.
  • The line passes through the following points:
    • (0 comma 18)
    • (4 comma 10)
    • (7 comma 4)
    • (9 comma 0)

The graph shows the possible combinations of the number of pounds of tangerines and lemons that could be purchased for $18 at a certain store. If Melvin purchased lemons and 4 pounds of tangerines for a total of $18, how many pounds of lemons did he purchase?

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Medium Math · Algebra · Linear equations in two variables · MCQ figure

  • The line slants gradually down from left to right.
  • The line passes through the following points:
    • (negative 8 comma 0)
    • (0 comma negative 8) 

What is an equation of the graph shown?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

A city’s total expense budget for one year was x million dollars. The city budgeted y million dollars for departmental expenses and 201 million dollars for all other expenses. Which of the following represents the relationship between x and y in this context?

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Hard Math · Algebra · Linear equations in two variables · MCQ figure

In the equation above, a and b are constants and 0 is less than a, which is less than b. Which of the following could represent the graph of the equation in the xy-plane?

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Easy Math · Algebra · Linear equations in two variables · MCQ

y = - 4 x + 40

Which table gives three values of x and their corresponding values of y for the given equation?

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Hard Math · Algebra · Linear equations in two variables · SPR figure

The figure presents a scatterplot titled “Number of Cornflowers and Wallflowers at Garden Store.” The horizontal axis is labeled “Number of cornflowers,” and the numbers 0 through 20, in increments of 2, are indicated. The vertical axis is labeled “Number of wallflowers,” and the numbers 0 through 20, in increments of 2, are indicated. There are 5 data points on the graph. The data represented by the points are as follows. 
Data point 1. Number of cornflowers, 0. Number of wallflowers, 12.
Data point 2. Number of cornflowers, 4. Number of wallflowers, 9.
Data point 3. Number of cornflowers, 8. Number of wallflowers, 6.
Data point 4. Number of cornflowers, 12. Number of wallflowers, 3.
Data point 5. Number of cornflowers, 16. Number of wallflowers, 0.

The points plotted in the coordinate plane above represent the possible numbers of wallflowers and cornflowers that someone can buy at the Garden Store in order to spend exactly $24.00 total on the two types of flowers. The price of each wallflower is the same and the price of each cornflower is the same. What is the price, in dollars, of 1 cornflower?

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Hard Math · Algebra · Linear equations in two variables · MCQ

The graph of 7 x + 2 y = -31 in the x y -plane has an x -intercept at (a , 0 ) and a y -intercept at (0 , b ), where a and b are constants. What is the value of b a ?

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Medium Math · Algebra · Linear equations in two variables · MCQ figure

  • The line slants down from left to right.
  • The line passes through the following points:
    • (0 comma 40)
    • (60 comma 0)

The graph shows the relationship between the number of shares of stock from Company A, x , and the number of shares of stock from Company B, y , that Simone can purchase. Which equation could represent this relationship?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and Fertilizer B contains 40% filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where x is the number of pounds of Fertilizer A and y is the number of pounds of Fertilizer B?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

In the xy-plane, a line has a slope of 6 and passes through the point with coordinates zero comma 8. Which of the following is an equation of this line?

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Medium Math · Algebra · Linear equations in two variables · MCQ figure

Which of the following could define the relationship between s and P ?

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Easy Math · Algebra · Linear equations in two variables · MCQ

The equation 40 x + 20 y = 160 represents the number of sweaters, x , and number of shirts, y , that Yesenia purchased for $160. If Yesenia purchased 2 sweaters, how many shirts did she purchase?  

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Easy Math · Algebra · Linear equations in two variables · MCQ
x y
0 18
1 13
2 8

The table shows three values of x and their corresponding values of y . There is a linear relationship between x and y . Which of the following equations represents this relationship?

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Hard Math · Algebra · Linear equations in two variables · MCQ figure

Line l in the xy-plane is perpendicular to the line with equation x equals 2. What is the slope of line l?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

Tony spends $80 per month on public transportation. A 10-ride pass costs $12.50, and a single-ride pass costs $1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single-ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t ?

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Medium Math · Algebra · Linear equations in two variables · MCQ figure

In an article about exercise, it is estimated that a 160-pound adult uses 200 calories for every 30 minutes of hiking and 150 calories for every 30 minutes of bicycling. An adult who weighs 160 pounds has completed 1 hour of bicycling. Based on the article, how many hours should the adult hike to use a total of 1,900 calories from bicycling and hiking?

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Hard Math · Algebra · Linear equations in two variables · SPR

The graph of 9x-10y=19 is translated down 4 units in the xy-plane. What is the x-coordinate of the x-intercept of the resulting graph?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

A city is planning to build a rock retaining wall, a monument, and a garden in a park. The table above shows four rock types that will be considered for use in the project. Also shown for each rock type is its weight per volume, in pounds per cubic foot (lb/ft3), and the cost per pound, in dollars. The equation 0 point 0 3 times, open parenthesis, 120 w, close parenthesis, plus, 0 point 1 8 times, open parenthesis, 180 z, close parenthesis, plus 3,385 point 8 0, equals 7,576 point 2 0. gives the total cost, in dollars, of the rocks used in the project in terms of the number of ft3 of limestone, w, and the number of ft3 of basalt, z. All four rock types are used in the project. Which of the following is the best interpretation of 3,385.80 in this context?

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Medium Math · Algebra · Linear equations in two variables · MCQ

When line n is graphed in the xy-plane, it has an x-intercept of -4,0 and a y-intercept of 0,863. What is the slope of line n ?

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Medium Math · Algebra · Linear equations in two variables · MCQ

In the xy-plane, line k passes through the points 0,-5 and 1,-1. Which equation defines line k ?

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Hard Math · Algebra · Linear equations in two variables · SPR figure

The table above shows the coordinates of three points on a line in the xy-plane, where k and n are constants. If the slope of the line is 2, what is the value of k plus n ?

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Easy Math · Algebra · Linear equations in two variables · MCQ

A line in the xy-plane has a slope of 19 and passes through the point 0,14. Which equation represents this line?

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Easy Math · Algebra · Linear equations in two variables · SPR

Vivian bought party hats and cupcakes for $71 . Each package of party hats cost $3 , and each cupcake cost $1 . If Vivian bought 10 packages of party hats, how many cupcakes did she buy?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

  • The line slants sharply up from left to right.
  • The line passes through the following points:
    • (0 comma negative 5)
    • (1 comma negative 3)
    • (2 comma negative 1)

The graph shows the linear relationship between x and y . Which table gives three values of x and their corresponding values of y for this relationship?

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