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343 items match · Math · Algebra

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

y = 2 x + 10

y = 2 x - 1

At how many points do the graphs of the given equations intersect in the xy-plane?

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

Which of the following is an equation of the graph shown in the xy-plane above?

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

4 x - 6 y =10y+2

ty=12+2x

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

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

An employee at a restaurant prepares sandwiches and salads. It takes the employee 1.5 minutes to prepare a sandwich and 1.9 minutes to prepare a salad. The employee spends a total of 46.1 minutes preparing x sandwiches and y salads. Which equation represents this situation?

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Hard Math · Algebra · Linear functions · MCQ

Fx=95x-273.15+32

The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 9.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?

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

the fraction 4 x over 5, equals 20

In the equation above, what is the value of x ?

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

Which of the following graphs in the xy-plane could be used to solve the system of equations above?

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

3(kx+13)= 48 17 x + 36

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

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Medium Math · Algebra · Linear functions · MCQ

The function f is defined by f(x)=7x-84. What is the x-intercept of the graph of y=f(x) in the xy-plane?

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Medium Math · Algebra · Linear functions · SPR
x 10 15 20 25
fx 82 137 192 247

The table shows four values of x and their corresponding values of fx. There is a linear relationship between x  and fx that is defined by the equation fx=mx-28, where m is a constant. What is the value of m ?

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

x = 10

y = x + 21

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

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

y=-19x

y=12x

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

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

A salesperson’s total earnings consist of a base salary of x dollars per year, plus commission earnings of 11 % of the total sales the salesperson makes during the year. This year, the salesperson has a goal for the total earnings to be at least 3 times and at most 4 times the base salary. Which of the following inequalities represents all possible values of total sales s , in dollars, the salesperson can make this year in order to meet that goal? 

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

Which of the following is equivalent to 4 x plus 6 equals 12 ?

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

One pound of grapes costs $2. At this rate, how many dollars will pounds of grapes cost?

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Medium Math · Algebra · Linear functions · MCQ figure

The graph of the function f , where y=f(x), gives the total cost y , in dollars, for a certain video game system and x games. What is the best interpretation of the slope of the graph in this context?

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

A bus traveled on the highway and on local roads to complete a trip of 160 miles. The trip took 4 hours. The bus traveled at an average speed of 55 miles per hour mph on the highway and an average speed of 25 mph on local roads. If x is the time, in hours, the bus traveled on the highway and y is the time, in hours, it traveled on local roads, which system of equations represents this situation?

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

On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If x equals 1, what is the value of y ?

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

Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?

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

What is the solution the ordered pair, x comma y, to the given system of equations?

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

Which of the following points is the solution to the system of equations?

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Hard Math · Algebra · Linear functions · SPR

The functions f and g are defined as f(x)= 1 4 x - 9 and g(x)= 3 4 x + 21 . If the function h is defined as h(x)=f(x)+g(x), what is the x-coordinate of the x-intercept of the graph of y=hx in the xy-plane?

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

A principal used a total of 25 flags that were either blue or yellow for field day. The principal used 20 blue flags. How many yellow flags were used?

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

During a month, Morgan ran r miles at 5 miles per hour and biked b miles at 10 miles per hour. She ran and biked a total of 200 miles that month, and she biked for twice as many hours as she ran. What is the total number of miles that Morgan biked during the month?

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

x + 3 = - 2 y + 5

x - 3 = 2 y + 7

The solution to the given system of equations is x,y. What is the value of 2 x ?

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