SAT OwlQuestion bank / Algebra
SAT Linear equations in two variables practice questions
Work with equations like ax + by = c: intercepts, solutions, and what the coefficients mean in context. Below are 20 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
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Question 1
Which of the following points lies on the graph of 2x + 3y = 12 in the xy-plane?EasyQuestion 2
A store sells notebooks for 3 each and pens for 2 each. Ari spent exactly 40 on n notebooks and p$ pens. Which equation EasyQuestion 3
In the xy-plane, the graph of 5x - 2y = 20 crosses the y-axis at the point (0, b). What is the value of b?EasyQuestion 4
What is the x-intercept of the graph of 3x + y = 9 in the xy-plane?EasyQuestion 5
The point (k, 5) lies on the line y = 2x - 3 in the xy-plane. What is the value of k?EasyQuestion 6
A theater sells adult tickets for 12 each and child tickets for 8 each. One evening the theater collected 384 and sold 2EasyQuestion 7
Which equation has a graph in the xy-plane with a slope of -25 and a y-intercept of (0, 3)?MediumQuestion 8
Dana earns 15 per hour at her first job and 20 per hour at her second job. Last month she earned a total of 600 from theMediumQuestion 9
A line in the xy-plane passes through the points (2, -1) and (6, 7). Which equation represents the line?MediumQuestion 10
In the xy-plane, the graph of ax + 4y = 20, where a is a constant, passes through the point (2, 3). What is the value ofMediumQuestion 11
Line in the xy-plane is defined by 6x - 3y = 9. Which equation defines a line perpendicular to line ?MediumQuestion 12
A baker uses 2.5 cups of flour for each loaf of bread and 0.75 cup of flour for each batch of muffins. One day she used MediumQuestion 13
The equation 1.5x + 2y = 30 relates the number of pounds of peanuts, x, and the number of pounds of almonds, y, that a sMediumQuestion 14
A line in the xy-plane has a slope of 32 and passes through the point (4, 1). If the point (10, k) also lies on the lineMediumQuestion 15
In the xy-plane, line m passes through the point (-2, 5) and is perpendicular to the graph of 3x - 4y = 8. What is the xHardQuestion 16
In the xy-plane, line is defined by 2ax + 5y = 10, where a is a constant. Line is parallel to the line defined by 4x - 1HardQuestion 17
In the xy-plane, a line with a slope of 3 passes through the points (p, 4) and (6, p), where p is a constant. What is thHardQuestion 18
The equation 8x + 12y = 960 represents the number of units of product X, x, and product Y, y, that a company must sell tHardQuestion 19
In the xy-plane, the graph of 5x + 3y = 45 and the two coordinate axes form a triangle. What is the area of this trianglHardQuestion 20
In the xy-plane, the graph of kx - 3y = 6, where k is a constant, does not pass through Quadrant II. Which of the followHard
Which of the following points lies on the graph of 2x + 3y = 12 in the xy-plane?EasyQuestion 2
A store sells notebooks for 3 each and pens for 2 each. Ari spent exactly 40 on n notebooks and p$ pens. Which equation EasyQuestion 3
In the xy-plane, the graph of 5x - 2y = 20 crosses the y-axis at the point (0, b). What is the value of b?EasyQuestion 4
What is the x-intercept of the graph of 3x + y = 9 in the xy-plane?EasyQuestion 5
The point (k, 5) lies on the line y = 2x - 3 in the xy-plane. What is the value of k?EasyQuestion 6
A theater sells adult tickets for 12 each and child tickets for 8 each. One evening the theater collected 384 and sold 2EasyQuestion 7
Which equation has a graph in the xy-plane with a slope of -25 and a y-intercept of (0, 3)?MediumQuestion 8
Dana earns 15 per hour at her first job and 20 per hour at her second job. Last month she earned a total of 600 from theMediumQuestion 9
A line in the xy-plane passes through the points (2, -1) and (6, 7). Which equation represents the line?MediumQuestion 10
In the xy-plane, the graph of ax + 4y = 20, where a is a constant, passes through the point (2, 3). What is the value ofMediumQuestion 11
Line in the xy-plane is defined by 6x - 3y = 9. Which equation defines a line perpendicular to line ?MediumQuestion 12
A baker uses 2.5 cups of flour for each loaf of bread and 0.75 cup of flour for each batch of muffins. One day she used MediumQuestion 13
The equation 1.5x + 2y = 30 relates the number of pounds of peanuts, x, and the number of pounds of almonds, y, that a sMediumQuestion 14
A line in the xy-plane has a slope of 32 and passes through the point (4, 1). If the point (10, k) also lies on the lineMediumQuestion 15
In the xy-plane, line m passes through the point (-2, 5) and is perpendicular to the graph of 3x - 4y = 8. What is the xHardQuestion 16
In the xy-plane, line is defined by 2ax + 5y = 10, where a is a constant. Line is parallel to the line defined by 4x - 1HardQuestion 17
In the xy-plane, a line with a slope of 3 passes through the points (p, 4) and (6, p), where p is a constant. What is thHardQuestion 18
The equation 8x + 12y = 960 represents the number of units of product X, x, and product Y, y, that a company must sell tHardQuestion 19
In the xy-plane, the graph of 5x + 3y = 45 and the two coordinate axes form a triangle. What is the area of this trianglHardQuestion 20
In the xy-plane, the graph of kx - 3y = 6, where k is a constant, does not pass through Quadrant II. Which of the followHard