SAT Math · Algebra
Linear equations in one variable practice questions
Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.
- Question 1 · mediumFor what value of k does the equation 5(x-2)+12 = kx+6 have no solution?
- Question 25 · mediumThe equation kx - 7 = 3x + 2 has exactly one solution for every value of k except one. What is that excluded value of k?
- Question 65 · mediumIf 3(2x+5) - 4 = 17, what is the value of 2x+5?
- Question 66 · mediumA car travels at a constant speed of 54 kilometers per hour. How many meters does the car travel in 20 seconds?
- Question 67 · mediumA chemist mixes a 10%-acid solution with a 40%-acid solution to create 300 milliliters of a 25%-acid solution. How many…
- Question 85 · mediumWhat is the value of x if x/2+13 = 4?
- Question 86 · mediumA rectangle's length is 3 more than twice its width. If the perimeter of the rectangle is 54, what is the width?
- Question 105 · mediumThe equation 4(x+3) - 2 = kx + b is true for all values of x. What is the value of k + b?
- Question 106 · mediumA number is tripled, then 7 is added to the result, and finally the sum is divided by 2 to get 11. What is the original number?
- Question 145 · mediumFor what values of k and c does the equation 5(x-2)+12 = kx+c have infinitely many solutions?
- Question 166 · mediumA coffee shop blends a $8-per-pound coffee with a $14-per-pound coffee to create 20 pounds of a blend costing $11 per pound. How…
- Question 167 · mediumAn isosceles triangle has two equal sides that are each 3 more than the length of the base. If the perimeter of the triangle is…
- Question 205 · mediumWhat is the value of x if (3x+1)/(5) - 2 = 6?
- Question 206 · mediumIf 2(3x-1)+7 = 23, what is the value of 3x - 1?
- Question 231 · mediumA number is doubled, then 5 is subtracted from the result, and finally the difference is divided by 3 to get 7. What is the…
- Question 245 · mediumFor what value of k does the equation 6(x-1) + 9 = kx + 7 have no solution?
- Question 249 · mediumA square has a side length of 2x + 3. If the perimeter of the square is 68, what is the value of x?
- Question 269 · mediumA regular pentagon has a side length of 3x - 2. If the perimeter of the pentagon is 80, what is the value of x?
- Question 285 · mediumThe equation 4(x+2) - 5 = kx + b is true for all values of x. What is the value of k + b?
- Question 305 · mediumWhat is the value of x if (4x-3)/(7) + 2 = 9?