Maths-
SAT
Easy
Question
Which of the following is the graph of the equation y = 2x + 3 in the xy-plane?
The correct answer is:
From the equation y = 2x + 3
Fact – 1
The equation represents straight line equation.
So, the graph will have a straight line and not a curve
y = mx + c
slope = 2
intercept = 3
Related Questions to study
maths-
x + 2y = 16
0.5x − y = 10
The solution to the system of equations above is (x, y). What is the value of x ?
x + 2y = 16
0.5x − y = 10
The solution to the system of equations above is (x, y). What is the value of x ?
maths-sat
maths-
Note: Figure not drawn to scale.
In the figure above, 
and 
are parallel, 
and 
are parallel, CD = CE, and the measure of ∠ABC is 115°. What is the measure of ∠BCD ?
Note: Figure not drawn to scale.
In the figure above, and are parallel, and are parallel, CD = CE, and the measure of ∠ABC is 115°. What is the measure of ∠BCD ?
maths-sat
maths-
x(x + 2) = 8
Which of the following lists all solutions to the quadratic equation above?
x(x + 2) = 8
Which of the following lists all solutions to the quadratic equation above?
maths-sat
maths-
5x2 − 3(1 − x) − 2x(x + 5)
Which of the following polynomials is equivalent to the expression above?
5x2 − 3(1 − x) − 2x(x + 5)
Which of the following polynomials is equivalent to the expression above?
maths-sat
maths-
C = 10x + 4y
The formula above gives the monthly cost C, in dollars, of operating a delivery truck when the driver works a total of x hours and when y gallons of gasoline are used. If, in a particular month, it cost no more than $2,000 to operate the truck and at least 150 gallons of gas were used, what is the maximum number of hours the river could have worked?
C = 10x + 4y
The formula above gives the monthly cost C, in dollars, of operating a delivery truck when the driver works a total of x hours and when y gallons of gasoline are used. If, in a particular month, it cost no more than $2,000 to operate the truck and at least 150 gallons of gas were used, what is the maximum number of hours the river could have worked?
maths-sat
maths-
A farmer sold 108 pounds of produce that consisted of z pounds f zucchini and c pounds of cucumbers. The farmer sold the zucchini for $1.69 per pound and the cucumbers for $0.99 per pound and collected a total of $150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
A farmer sold 108 pounds of produce that consisted of z pounds f zucchini and c pounds of cucumbers. The farmer sold the zucchini for $1.69 per pound and the cucumbers for $0.99 per pound and collected a total of $150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
maths-sat
maths-
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
maths-sat
maths-
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria’s car is 0.30 meter, what is the approximate speed of Maria’s car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
(1 kilometer = 1000 meters)
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria’s car is 0.30 meter, what is the approximate speed of Maria’s car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
(1 kilometer = 1000 meters)
maths-sat
maths-
Ticket Prices by Row Number
|
Row number |
Ticket price |
|
1-2 |
$ 25 |
|
3-10 |
$20 |
|
11-20 |
$ 15 |
They will purchase 3 tickets for seats in row 1.
They will purchase 2 tickets for seats in row 3.
They will purchase 2 tickets for seats in row 4.
They will purchase 3 tickets for seats in row 12.
What is the average (arithmetic mean) ticket price, in dollars, for the 10 tickets? (Disregard the $ sign when gridding your answer.
Ticket Prices by Row Number
|
Row number |
Ticket price |
|
1-2 |
$ 25 |
|
3-10 |
$20 |
|
11-20 |
$ 15 |
They will purchase 3 tickets for seats in row 1.
They will purchase 2 tickets for seats in row 3.
They will purchase 2 tickets for seats in row 4.
They will purchase 3 tickets for seats in row 12.
What is the average (arithmetic mean) ticket price, in dollars, for the 10 tickets? (Disregard the $ sign when gridding your answer.
maths-sat
maths-
Century and Region of United States Presidents’ Births as of 2014
|
|
Century |
||
|
18th |
19th |
20th |
|
|
Northeast |
5 |
6 |
3 |
|
South |
9 |
4 |
3 |
|
Midwest |
0 |
9 |
2 |
|
West |
0 |
0 |
2 |
Century and Region of United States Presidents’ Births as of 2014
|
|
Century |
||
|
18th |
19th |
20th |
|
|
Northeast |
5 |
6 |
3 |
|
South |
9 |
4 |
3 |
|
Midwest |
0 |
9 |
2 |
|
West |
0 |
0 |
2 |
maths-sat
maths-
In the xy-plane, the graph of y = (x - 6)2 + 3 is the image of the graph of y = (x + 5)2 + 3 after a translation of how many units to the right?
In the xy-plane, the graph of y = (x - 6)2 + 3 is the image of the graph of y = (x + 5)2 + 3 after a translation of how many units to the right?
maths-sat
maths-
Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?
Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?
maths-sat
maths-
A researcher is investigating the relationship between the price of a four-pack of AA batteries at a convenience store and the number of competitors the store has. She defines a store’s competitor as another similar store within a 1-mile radius of the store she selects. She selects 32 convenience stores across a state at random, and for each store, she records the number of its competitors and its price for a four-pack of AA batteries. The results are shown, along with the line of best fit, in the scatterplot below.
The line of best fit passes through the point (18, -0.12). Which of the following can be concluded from this?
A researcher is investigating the relationship between the price of a four-pack of AA batteries at a convenience store and the number of competitors the store has. She defines a store’s competitor as another similar store within a 1-mile radius of the store she selects. She selects 32 convenience stores across a state at random, and for each store, she records the number of its competitors and its price for a four-pack of AA batteries. The results are shown, along with the line of best fit, in the scatterplot below.
The line of best fit passes through the point (18, -0.12). Which of the following can be concluded from this?
maths-sat
maths-
A researcher is investigating the relationship between the price of a four-pack of AA batteries at a convenience store and the number of competitors the store has. She defines a store’s competitor as another similar store within a 1-mile radius of the store she selects. She selects 32 convenience stores across a state at random, and for each store, she records the number of its competitors and its price for a four-pack of AA batteries. The results are shown, along with the line of best fit, in the scatterplot below.
Another convenience store in the same state sells a four-pack of AA batteries for $4.89. If the store’s price is more than that predicted by the line of best fit, what is the least number of competitors the store could have?
A researcher is investigating the relationship between the price of a four-pack of AA batteries at a convenience store and the number of competitors the store has. She defines a store’s competitor as another similar store within a 1-mile radius of the store she selects. She selects 32 convenience stores across a state at random, and for each store, she records the number of its competitors and its price for a four-pack of AA batteries. The results are shown, along with the line of best fit, in the scatterplot below.
Another convenience store in the same state sells a four-pack of AA batteries for $4.89. If the store’s price is more than that predicted by the line of best fit, what is the least number of competitors the store could have?
maths-sat
maths-
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?
maths-sat
