$\def\frac{\dfrac}$
1. (Test2/Q 6/No Calculator)
In the $x y$-plane above, line $\ell$ is parallel to line $k$. What is the value of $p$ ?
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2. (Test2/Q 9/No Calculator)
The graph of a line in the $x y$-plane has slope 2 and contains the point $(1,8)$. The graph of a second line passes through the points $(1,2)$ and $(2,1)$. If the two lines intersect at the point $(a, b)$, what is the value of $a+b$ ?
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3. (Test2/Q 25/Calculator)
The graph of the linear function $f$ has intercepts at $(a, 0)$ and $(0, b)$ in the $x y$-plane. If $a+b=0$ and $a \neq b$, which of the following is true about the slope of the graph of $f$ ?
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4. (Test2/Q 28/Calculator)
In the xy-plane above, $A B C D$ is a square and point $E$ is the center of the square. The coordinates of points $C$ and $E$ are $(7,2)$ and $(1,0)$, respectively. Which of the following is an equation of the line that passes through points $B$ and $D$ ?
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5. (Test $3 / Q 8 /$ No Calculator)
The line $y=k x+4$, where $k$ is a constant, is graphed in the $x y$-plane. If the line contains the point $(c, d)$, where $c \neq 0$ and $d \neq 0$, what is the slope of the line in terms of $c$ and $d$ ?
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6. (Test3/Q 26/Calculator)
In the $x y$-plane, the line determined by the points $(2, k)$ and $(k, 32)$ passes through the origin. Which of the following could be the value of $k$ ?
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7. (Test $4 / Q 8 /$ No Calculator)
Which of the following equations represents a line that is parallel to the line with equation $y=-3 x+4$ ?
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8. (Test $4 / Q 8 /$ Calculator)
Line $\ell$ in the $x y$-plane contains points from each of Quadrants II, III, and IV, but no points from Quadrant I. Which of the following must be true?
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9. (Test $5 / Q 1 /$ No Calculator)
Which of the following is an equation of line $\ell$ in the $x y$-plane above?
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10. (Test5/Q 11/Calculator)
$$-2 x+3 y=6$$ In the $x y$-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?
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11. (Test5/Q 28/Calculator)
The graph of the linear function $f$ is shown in the $x y$-plane above. The slope of the graph of the linear function $g$ is 4 times the slope of the graph of $f$. If the graph of $g$ passes through the point $(0,-4)$, what is the value of $g(9)$ ?
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12. (Test5/Q 34/Calculator)
In the $x y$-plane, the point $(2,5)$ lies on the graph of the function $f$. If $f(x)=k-x^{2}$, where $k$ is a constant, what is the value of $k$ ?
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13. (Test $6 / Q 35 /$ Calculator)
The line with the equation $\frac{4}{5} x+\frac{1}{3} y=1$ is graphed in the $x y$ "plane. What is the $x$-coordinate of the $x$-intercept of the line?
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14. (Test7/Q 19/No Calculator)
The graph of a line in the $x y$-plane passes through the point $(1,4)$ and crosses the $x$-axis at the point $(2,0)$. The line crosses the $y$-axis at the point $(0, b)$. What is the value of $b$ ?
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15. (Test7/Q $28 /$ Calculator)
In the $x y$-plane above, a point (not shown) with coordinates $(s, t)$ lies on the graph of the linear function $f$. If $s$ and $t$ are positive integers, what is the ratio of $t$ to $s$ ?
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16. (Test $7 / Q$ 32/Calculator)
Line $t$ is shown in the $x y$-plane below. What is the slope of line $t$ ?
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17. (Test $8 / Q 7 /$ Calculator )
In the $x y$-plane, the graph of which of the following equations is a line with a slope of 3 ?
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18. (Test8/Q $27 /$ Calculator)
In the $x y$-plane, the point $(p, r)$ lies on the line with equation $y=x+b$, where $b$ is a constant. The point with coordinates $(2 p, 5 r)$ lies on the line with equation $y=2 x+b$. If $p \neq 0$, what is the value of $\frac{r}{p}$ ?
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19. (Test8/Q $33 /$ Calculator)
In the $x y$-plane, the equations $x+2 y=10$ and $3 x+6 y=c$ represent the same line for some constant $c .$ What is the value of $c$ ?
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20. (Test1/Q 12/No Calculator)
A line in the $x y$-plane passes through the origin and has a slope of $\frac{1}{7}$. Which of the following points lies on the line?
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1 D | $\quad$ Explanation |
2 B | $\quad$ Explanation |
3 A | $\quad$ Explanation |
4 B | $\quad$ Explanation |
5 A | $\quad$ Explanation |
6 C | $\quad$ Explanation |
7 A | $\quad$ Explanation |
8 D | $\quad$ Explanation |
9 D | $\quad$ Explanation |
10 A | $\quad$ Explanation |
11 C | $\quad$ Explanation |
12 9 | $\quad$ Explanation |
13 1.25 | $\quad$ Explanation |
14 8 | $\quad$ Explanation |
15 C | $\quad$ Explanation |
16 0.4 | $\quad$ Explanation |
17 C | $\quad$ Explanation |
18 B | $\quad$ Explanation |
19 30 | $\quad$ Explanation |
20 D | $\quad$ Explanation |
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