Sample quiz on rate of change in linear relations
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  1. For a linear relation, the first differences represent $\cdots$?
    $x$-intercept
    $y$-intercept
    the slope
    initial value
  2. What is the value of the first differences for the relation $y=3x-3$?
    $3$
    $-3$
    $1$
    $0$
  3. For a linear relation of the form $y=mx+b$, the first differences are always $\cdots$?
    zero
    positive
    negative
    constant
  4. For a linear relation, the rate of change represents $\cdots$?
    initial value
    the slope
    $x$-intercept
    $y$-intercept
  5. For a linear relation $y=mx+b$, the rate of change is $\cdots$?
    $b$
    $m$
    $1$
    $0$
  6. What is the rate of change for the linear relation $2x+3y-8=0$?
    $-\frac{2}{3}$
    $-\frac{3}{2}$
    $\frac{8}{3}$
    $\frac{3}{8}$
  7. If the rate of change for the linear relation $ax+2y-5=0$ is $7$, find the value of $a$.
    $a=\frac{2}{7}$
    $a=14$
    $a=-14$
    $a=-\frac{7}{2}$
  8. In a table of values for a linear relation, two coordinates are $(0,250)$ and $(500,260)$. The rate of change in the dependent variable is $\cdots$?
    $10$
    $50$
    $-\frac{1}{50}$
    $\frac{1}{50}$
  9. Two points in a table of values for a linear relation are $(0,50)$ and $(50,100)$. What is the rate of change in the dependent variable?
    $1$
    $-1$
    $-50$
    $50$
  10. For what value of $k$ is the rate of change in the linear relation $y=2x+k$ equal to $2$?
    $k=2$
    $k=-2$
    no value of $k$
    any value of $k$