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343 items match · Math · Algebra

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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Medium Math · Algebra · Linear functions · MCQ figure

The figure presents a 3-column table, with 3 rows of data, titled “Energy per Gram of Typical Macronutrients.” The heading for column 1 is “Macronutrient,” the heading for column 2 is “Food calories,” and the heading for column 3 is “Kilojoules.” The 3 rows of data are as follows. Row 1.Macronutrient, Protein; Food calories, 4 point zero; Kilojoules, 16 point 7. Row 2. Macronutrient, Fat; Food calories, 9 point zero; Kilojoules, 37 point 7. Row 3. Macronutrient, Carbohydrate; Food calories, 4 point zero; Kilojoules, 16 point 7.

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If x food calories is equivalent to k kilojoules, of the following, which best represents the relationship between x and k ?

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Hard Math · Algebra · Linear inequalities in one or two variables · SPR figure

The formula above is Ohm’s law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in ohms. A circuit has a resistance of 500 ohms, and its potential difference will be generated by n six-volt batteries that produce a total potential difference of 6 n volts. If the circuit is to have a current of no more than 0.25 ampere, what is the greatest number, n, of six-volt batteries that can be used?

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Hard Math · Algebra · Linear inequalities in one or two variables · MCQ

y<6x+2

For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

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Medium Math · Algebra · Linear equations in one variable · MCQ figure

If 4 x minus one half, equals negative 5, what is the value of 8 x minus 1 ?

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Medium Math · Algebra · Linear functions · MCQ

The table gives the number of hours, h , of labor and a plumber’s total charge fh, in dollars, for two different jobs.

h fh
1 155
3 285

There is a linear relationship between h and fh. Which equation represents this relationship?

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Medium Math · Algebra · Systems of two linear equations in two variables · MCQ

A wire with a length of 106 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than 4 times the value of y . What is the value of x ?

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Hard Math · Algebra · Linear inequalities in one or two variables · MCQ

y>13x-18

For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

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Hard Math · Algebra · Systems of two linear equations in two variables · SPR

5 x + 14 y = 45

10 x + 7 y = 27

The solution to the given system of equations is x,y. What is the value of x y ?

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Easy Math · Algebra · Linear inequalities in one or two variables · MCQ figure

Normal body temperature for an adult is between 97 point 8 degrees Fahrenheit and 99 degrees Fahrenheit, inclusive. If Kevin, an adult male, has a body temperature that is considered to be normal, which of the following could be his body temperature?

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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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Hard Math · Algebra · Linear equations in one variable · MCQ

-3x+21px=84

In the given equation, p is a constant. The equation has no solution. What is the value of p ?

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Easy Math · Algebra · Linear inequalities in one or two variables · MCQ figure

Which of the following ordered pairs x comma y satisfies the inequality 5 x minus 3 y is less than 4 ?

  1. Statement 1, 1 comma 1
  2. Statement 2, 2 comma 5
  3. Statement 3, 3 comma 2

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Medium Math · Algebra · Systems of two linear equations in two variables · MCQ

6 x + 7 y = 28
2 x + 2 y = 10

The solution to the given system of equations is x,y. What is the value of y?

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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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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

A dance teacher ordered outfits for students for a dance recital. Outfits for boys cost $26, and outfits for girls cost $35. The dance teacher ordered a total of 28 outfits and spent $881. If b represents the number of outfits the dance teacher ordered for boys and g represents the number of outfits the dance teacher ordered for girls, which of the following systems of equations can be solved to find b and g ?

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Medium Math · Algebra · Linear functions · MCQ

The function f is defined by fx=x+155, and fa=10, where a is a constant. What is the value of a ?

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Hard Math · Algebra · Systems of two linear equations in two variables · SPR figure

In the system of equations above, c is a constant. If the system has no solution, what is the value of c ?

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Medium Math · Algebra · Linear equations in one variable · SPR

If 2(3t-10)+t=40+4t, what is the value of 3t?

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Hard Math · Algebra · Linear equations in one variable · MCQ

If x+63=x+613, the value of x+6 is between which of the following pairs of values?

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Easy Math · Algebra · Linear inequalities in one or two variables · MCQ figure

A clothing store is having a sale on shirts and pants. During the sale, the cost of each shirt is $15 and the cost of each pair of pants is $25. Geoff can spend at most $120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?

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Easy Math · Algebra · Linear equations in one variable · MCQ figure

If 2 n over 5, equals 10, what is the value of 2 n, minus 1 ?

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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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