SAT OwlQuestion bank / Algebra
SAT Linear equations in one variable practice questions
Solve one-variable linear equations, often written as word problems about costs, rates, or totals. 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
If 4x - 9 = 23, what is the value of x?EasyQuestion 2
A plumber charges a 65 service fee plus 40 for each hour of work. If a customer's total charge was 245$, how many hours EasyQuestion 3
If 3(x + 2) = 27, what is the value of x?EasyQuestion 4
If x5 + 3 = 11, what is the value of x?EasyQuestion 5
What value of x is the solution to the equation 7x + 2 = 3x + 18?EasyQuestion 6
A gym charges a one-time joining fee of 30 and a monthly fee of 18. Maria has paid the gym a total of 246$, including thEasyQuestion 7
If 2(3x - 5) - 4x = 14, what is the value of x?MediumQuestion 8
If 5x - 3 = 17, what is the value of 10x + 4?MediumQuestion 9
What value of x satisfies the equation 2x + 13 = x - 42?MediumQuestion 10
How many solutions does the equation 3(2x - 4) = 6x - 12 have?MediumQuestion 11
Rental company P charges a flat fee of 25 plus 0.30 per mile driven. Rental company Q charges a flat fee of 40 plus 0.20MediumQuestion 12
What is the solution to the equation 0.4(x + 15) = 0.6x - 2?MediumQuestion 13
What is the solution to the equation 34x - 2 = 12x + 5?MediumQuestion 14
In the equation 4(x + a) = 4x + 20, a is a constant. If the equation has infinitely many solutions, what is the value ofMediumQuestion 15
In the equation kx - 5 = 3(2x + 1) - 10, k is a constant. If the equation has no solution, what is the value of k?HardQuestion 16
What value of x satisfies the equation x + 34 - x - 16 = 2?HardQuestion 17
In the equation a(3x - 2) + 4 = 9x + b, a and b are constants. If the equation has infinitely many solutions, what is thHardQuestion 18
A chemist mixes x liters of a 20% acid solution with 12 liters of a 50% acid solution. The resulting mixture is a 30% acHardQuestion 19
In the equation (p - 2)x + 8 = 5x - 2p, p is a constant. For what value of p does the equation have no solution?HardQuestion 20
What value of x satisfies the equation 23(6x - 9) + 12(4x + 10) = 3x + 15?Hard
If 4x - 9 = 23, what is the value of x?EasyQuestion 2
A plumber charges a 65 service fee plus 40 for each hour of work. If a customer's total charge was 245$, how many hours EasyQuestion 3
If 3(x + 2) = 27, what is the value of x?EasyQuestion 4
If x5 + 3 = 11, what is the value of x?EasyQuestion 5
What value of x is the solution to the equation 7x + 2 = 3x + 18?EasyQuestion 6
A gym charges a one-time joining fee of 30 and a monthly fee of 18. Maria has paid the gym a total of 246$, including thEasyQuestion 7
If 2(3x - 5) - 4x = 14, what is the value of x?MediumQuestion 8
If 5x - 3 = 17, what is the value of 10x + 4?MediumQuestion 9
What value of x satisfies the equation 2x + 13 = x - 42?MediumQuestion 10
How many solutions does the equation 3(2x - 4) = 6x - 12 have?MediumQuestion 11
Rental company P charges a flat fee of 25 plus 0.30 per mile driven. Rental company Q charges a flat fee of 40 plus 0.20MediumQuestion 12
What is the solution to the equation 0.4(x + 15) = 0.6x - 2?MediumQuestion 13
What is the solution to the equation 34x - 2 = 12x + 5?MediumQuestion 14
In the equation 4(x + a) = 4x + 20, a is a constant. If the equation has infinitely many solutions, what is the value ofMediumQuestion 15
In the equation kx - 5 = 3(2x + 1) - 10, k is a constant. If the equation has no solution, what is the value of k?HardQuestion 16
What value of x satisfies the equation x + 34 - x - 16 = 2?HardQuestion 17
In the equation a(3x - 2) + 4 = 9x + b, a and b are constants. If the equation has infinitely many solutions, what is thHardQuestion 18
A chemist mixes x liters of a 20% acid solution with 12 liters of a 50% acid solution. The resulting mixture is a 30% acHardQuestion 19
In the equation (p - 2)x + 8 = 5x - 2p, p is a constant. For what value of p does the equation have no solution?HardQuestion 20
What value of x satisfies the equation 23(6x - 9) + 12(4x + 10) = 3x + 15?Hard