SAT Math · Algebra
Linear equations in two variables 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 27 · easyWhat is the slope of the line 4x - 2y = 10?
- Question 57 · mediumFor every value of k, the line y = k(x-3) + 5 passes through the same fixed point, regardless of the value of k. What is the…
- Question 71 · easyThe line kx + 3y = 15 passes through the point (3, 2). What is the value of k?
- Question 72 · mediumFor the line y = 2x + b, if the value of b increases by 4, how does the line's x-intercept change?
- Question 90 · mediumThe equation Ax + 4y = 12 represents a line with slope -3/2. What is the value of A?
- Question 91 · easyA line has an x-intercept of 4 and a y-intercept of -6. What is the slope of the line?
- Question 108 · easyThe equation 5x + by = 20 has a y-intercept of 4. What is the value of b?
- Question 109 · mediumA line has a slope of 2 and passes through the midpoint of the segment connecting (2,3) and (6,9). What is the y-intercept of…
- Question 110 · mediumWhich equation represents the same line as 2x + 3y = 12?
- Question 111 · easyThe equation 4x + 5y = 100 models the cost, in dollars, of buying x notebooks at $4 each and y folders at $5 each, for a total…
- Question 169 · mediumWhat is the y-intercept of the line 3x - 5y = 20?
- Question 189 · easyThe equation 6x + 4y = 84 models a budget split between two categories of spending. If y = 6, what is the value of x?
- Question 208 · easyA line has an x-intercept of -3 and a y-intercept of 9. What is the slope of the line?
- Question 211 · mediumThe equation 6x + Ay = 18 represents a line with slope -2. What is the value of A?
- Question 228 · easyWhat is the slope of the line 5x - 3y = 21?
- Question 248 · easyThe line kx + 3y = 29 passes through the point (2, 5). What is the value of k?
- Question 289 · mediumThe equation 8x + Ay = 24 represents a line with slope -4. What is the value of A?
- Question 290 · easyA line has an x-intercept of 5 and a y-intercept of -10. What is the slope of the line?
- Question 309 · easyWhat is the slope of the line 7x - 2y = 18?
- Question 323 · hardA line has slope 2k - 1 and passes through the points (1, 1) and (3, k+5). What is the value of k?