Students’ Difficulties in Linear Functions. C&I235M, Spring 2004. Part I. Slope. Sample: 252 high school students Response key A, B, C, D : one of which may be correct E: blank or different from A, B, C, D F: do not know. A. 3 (65%) B. 2 (11%) C. 3/2 (11%). D. –2 (3%) E. (4%) F. (5%).
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C&I235M, Spring 2004
B. 2 (11%)
C. 3/2 (11%)
D. –2 (3%)
F. (5%)The slope of the line y=3x+2 is
B. 2(x+Δx) +1 (23%)
C. 2 Δx (20%)
D. Δx (7%)
F. (33%)The points P (x, y) and Q(x+Δx, y+Δy) both lie on the line y=2x+1. Which of the following expressions is equal to Δy?
B. h/k (11%)
C. (4+k) / (2+h) (13%)
D. (2+h) / (4+k) (13%)
E. none of the above (21%)
F. (27%)The points P (2, 4) lines on the curve y = x^2. Q(2+h, 4+k) also lies on the curve. What is the slope of PQ?
B. 6 (81%)
C. 6/5 (0%)
D. 5/6 (2%)
F. (6%)The value of the y-intercept for the line y = 5x+6 is
B. negative (21%)
C. positive or negative (20%)
D. positive, negative, or zero (45%)
F. (4%)The general equation for a straight line is y=mx + b. If the slope of the line is negative, b may be:
* Number of students:459 13-year-olds755 14 -year-olds584 15 -year-olds