Mathematics

Grand-Tests

Easy

Question

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 9 x minus 2 y equals 8 end cell row cell 2 x minus 9 y equals negative 5 over 2 end cell end table$
What is the solution (x, y) to the given system of equations?

$(- 1, - \frac{1}{4})$
$(- 1, \frac{1}{2})$
$(1, \frac{1}{4})$
$(1, \frac{1}{2})$

The correct answer is: $open parentheses 1 comma 1 half close parentheses$

$text (A) end text 9 left parenthesis negative 1 right parenthesis minus 2 open parentheses negative 1 fourth close parentheses not equal to 8$
$text (B) end text 9 left parenthesis negative 1 right parenthesis minus 2 open parentheses 1 half close parentheses not equal to 8$
$text (C) end text 9 left parenthesis 1 right parenthesis minus 2 open parentheses 1 fourth close parentheses not equal to 8$
$text (D) end text 9 left parenthesis 1 right parenthesis minus 2 open parentheses 1 half close parentheses equals 8$
and
$2 left parenthesis 1 right parenthesis minus 9 open parentheses 1 half close parentheses equals fraction numerator negative 5 over denominator 2 end fraction$
Hence option D

If $open vertical bar 2 x minus 5 close vertical bar equals 10$ , what is the value of $open vertical bar 4 x minus 10 close vertical bar$ ?

mathematicsgrand-tests

grand-tests

mathematics

2x + 3y = 5
4x + cy = 8
In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

mathematicsgrand-tests

grand-tests

mathematics

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

mathematicsgrand-tests

grand-tests

mathematics

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

mathematicsgrand-tests

grand-tests

mathematics

The shaded region shown represents the solutions to which inequality?

mathematicsgrand-tests

grand-tests

mathematics

Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

mathematicsgrand-tests

grand-tests

mathematics

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

mathematicsgrand-tests

grand-tests

mathematics

A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard= 3 feet)

mathematicsgrand-tests

grand-tests

mathematics

The graph of y = f(x) - 2 is shown. Which equation defines function f ?

mathematicsgrand-tests

grand-tests

mathematics

The mean score of a basketball team for its last 8 games was 64.5. If the highest score of these games is removed, the mean score of the remaining games becomes 63. What was the highest score of the last 8 games?

mathematicsgrand-tests

grand-tests

mathematics

28 is p% of 35. What is the value of p ?

mathematicsgrand-tests

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

What is the solution (x, y) to the given system of equations?

The correct answer is:

andHence option D

Related Questions to study

If , what is the value of ?

If , what is the value of ?

2x + 3y = 54x + cy = 8In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

2x + 3y = 54x + cy = 8In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

If 5(x - 8) + 3(x - 8) = 80, what is the value of X - 8 ?

If 5(x - 8) + 3(x - 8) = 80, what is the value of X - 8 ?

x is 63% of y. If x > 0, which expression represents y in terms of x ?

x is 63% of y. If x > 0, which expression represents y in terms of x ?

Which of the following linear equations has no solution?

Which of the following linear equations has no solution?

Which quadratic equation has exactly one distinct real solution?

Which quadratic equation has exactly one distinct real solution?

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

The shaded region shown represents the solutions to which inequality?

The shaded region shown represents the solutions to which inequality?

Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard= 3 feet)

A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard= 3 feet)

The graph of y = f(x) - 2 is shown. Which equation defines function f ?

The graph of y = f(x) - 2 is shown. Which equation defines function f ?

The mean score of a basketball team for its last 8 games was 64.5. If the highest score of these games is removed, the mean score of the remaining games becomes 63. What was the highest score of the last 8 games?

The mean score of a basketball team for its last 8 games was 64.5. If the highest score of these games is removed, the mean score of the remaining games becomes 63. What was the highest score of the last 8 games?

28 is p% of 35. What is the value of p ?

28 is p% of 35. What is the value of p ?

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

The correct answer is: $open parentheses 1 comma 1 half close parentheses$

If $open vertical bar 2 x minus 5 close vertical bar equals 10$ , what is the value of $open vertical bar 4 x minus 10 close vertical bar$ ?

If $open vertical bar 2 x minus 5 close vertical bar equals 10$ , what is the value of $open vertical bar 4 x minus 10 close vertical bar$ ?

2x + 3y = 5
4x + cy = 8
In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

2x + 3y = 5
4x + cy = 8
In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?