SAT OwlQuestion bank / Algebra
SAT Linear inequalities in one or two variables practice questions
Write and solve inequalities that model constraints, and identify points that satisfy them. 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 values of x satisfies the inequality 3x + 4 > 19?EasyQuestion 2
A delivery van can carry at most 2,000 pounds, including the driver. The driver weighs 180 pounds, and each box weighs 3EasyQuestion 3
What is the greatest integer value of x that satisfies the inequality 5x - 2 < 28?EasyQuestion 4
Which of the following is the solution to the inequality -2x + 7 15?EasyQuestion 5
Which point (x, y) is a solution to the inequality y > 2x + 1?EasyQuestion 6
Sam has 50 to spend on movie tickets. Each ticket costs 6.25. What is the maximum number of tickets Sam can buy?EasyQuestion 7
Priya's scores on her first three tests were 78, 88, and 90. What is the minimum score she must earn on her fourth test MediumQuestion 8
Ana sells bracelets for 8 each and necklaces for 15 each. She wants her total sales to be at least 300. Which inequalityMediumQuestion 9
Which of the following is the solution to the inequality 4 - 3x 2x - 11?MediumQuestion 10
How many integer values of x satisfy the inequality -3 < 2x + 5 11?MediumQuestion 11
For which of the following systems of inequalities is the point (2, 3) a solution?MediumQuestion 12
A phone has 64 gigabytes (GB) of storage, and 18.5 GB are already used. Each video Lin records uses 1.2 GB. What is the MediumQuestion 13
In the xy-plane, the point (-1, -5) is in the solution set of which of the following inequalities, while the point (0, 0MediumQuestion 14
A caterer charges a flat fee of 250 plus 32 per guest. A client's budget for catering is at most 3,000$. What is the maxMediumQuestion 15
y -2x + 10 y x + 1 In the xy-plane, if the point (a, b) lies in the solution region of the system of inequalities above,HardQuestion 16
y ax + 3 y 4x - 1 In the system of inequalities above, a is a constant. For which of the following values of a does the HardQuestion 17
A store sells shirts for 12 each and hats for 8 each. A customer wants to buy at least 10 items and spend no more than 1HardQuestion 18
If -5 2a - 1 7 and 1 b 4, what is the least possible value of 2a - 3b?HardQuestion 19
In the inequality kx + 3 > 2x - 5, k is a constant. For which value of k is the inequality true for all real values of xHardQuestion 20
y 2x - 7 y < -x + 9 The point (5, k) lies in the solution set of the system of inequalities above. Which of the followinHard
Which of the following values of x satisfies the inequality 3x + 4 > 19?EasyQuestion 2
A delivery van can carry at most 2,000 pounds, including the driver. The driver weighs 180 pounds, and each box weighs 3EasyQuestion 3
What is the greatest integer value of x that satisfies the inequality 5x - 2 < 28?EasyQuestion 4
Which of the following is the solution to the inequality -2x + 7 15?EasyQuestion 5
Which point (x, y) is a solution to the inequality y > 2x + 1?EasyQuestion 6
Sam has 50 to spend on movie tickets. Each ticket costs 6.25. What is the maximum number of tickets Sam can buy?EasyQuestion 7
Priya's scores on her first three tests were 78, 88, and 90. What is the minimum score she must earn on her fourth test MediumQuestion 8
Ana sells bracelets for 8 each and necklaces for 15 each. She wants her total sales to be at least 300. Which inequalityMediumQuestion 9
Which of the following is the solution to the inequality 4 - 3x 2x - 11?MediumQuestion 10
How many integer values of x satisfy the inequality -3 < 2x + 5 11?MediumQuestion 11
For which of the following systems of inequalities is the point (2, 3) a solution?MediumQuestion 12
A phone has 64 gigabytes (GB) of storage, and 18.5 GB are already used. Each video Lin records uses 1.2 GB. What is the MediumQuestion 13
In the xy-plane, the point (-1, -5) is in the solution set of which of the following inequalities, while the point (0, 0MediumQuestion 14
A caterer charges a flat fee of 250 plus 32 per guest. A client's budget for catering is at most 3,000$. What is the maxMediumQuestion 15
y -2x + 10 y x + 1 In the xy-plane, if the point (a, b) lies in the solution region of the system of inequalities above,HardQuestion 16
y ax + 3 y 4x - 1 In the system of inequalities above, a is a constant. For which of the following values of a does the HardQuestion 17
A store sells shirts for 12 each and hats for 8 each. A customer wants to buy at least 10 items and spend no more than 1HardQuestion 18
If -5 2a - 1 7 and 1 b 4, what is the least possible value of 2a - 3b?HardQuestion 19
In the inequality kx + 3 > 2x - 5, k is a constant. For which value of k is the inequality true for all real values of xHardQuestion 20
y 2x - 7 y < -x + 9 The point (5, k) lies in the solution set of the system of inequalities above. Which of the followinHard