HSA Practice Problem Set #1:
Linear Equations and Functions
1.What is the slope of the line passing through the points and ?
[A] [B] [C]
[D] [E]
2.What is the slope of the line whose graph is shown below?
[A][B] [C]
[D] [E]
3.The line passing through the points and has a slope of . What is the value of ?
[A][B] [C] [D] 6[E] 9
4.A line passes through the point and has slope . Which of the following is another point on the line?
[A]
[B]
[C]
[D]
[E]
5.What is the equation of the line whose graph is shown below?
[A]
[B]
[C]
[D]
[E]
6.Which of the following is an equation for the line passing through the and ?
[A]
[B]
[C]
[D]
[E]
7.What is the slope of the line with equation ?
[A] [B] [C]
[D] [E]
8.Which equation has a slope of ?
[A]
[B]
[C]
[D]
[E]
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HSA Practice Problem Set #1:
Linear Equations and Functions
9.Which of the following shows the graph of ?
[A][B][C]
[D][E]
10.Which of the following shows the graph of ?
[A][B][C]
[D][E]
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HSA Practice Problem Set #1:
Linear Equations and Functions
11.The line is translated 6 units up. What is the equation of the resulting image?
[A]
[B]
[C]
[D]
[E]
12.The line graphed above is rotated 90° about it’s y-intercept. What is the equation of the resulting image?
[A]
[B]
[C]
[D]
[E]
/ –4 / –1 / 1/ –3 / a / 7
13.The table above shows values of a linear relation. What is the value of a?
[A]
[B]
[C] 1
[D]
[E]3
14.Which table of values represents a linear function?
[A]
/ –3 / –1 / 1 / 3/ / –1 / 1 /
[B]
/ 0 / 1 / 2 / 4/ –3 / –1 / 1 / 5
[C]
/ –2 / –1 / 1 / 2/ 3 / 1 / –1 / –3
[D]
/ –6 / –4 / 0 / 8/ 4 / 3 / 0 / –3
[E]
/ 2 / 2 / 2 / 2/ 1 / 3 / 5 / 7
15.Let be a linear function with slope and y-intercept . What is ?
[A]–7[B]–9[C]7
[D][E]
16.The graph of a linear function is shown above. What is ?
[A][B] [C]
[D] [E]
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HSA Practice Problem Set #1:
Linear Equations and Functions
17.Which graph shows the image of after it is translated 1 unit down?
[A][B][C]
[D][E]
18.Which of the following shows the graph of ?
[A][B][C]
[D][E]
19.The slope of the line passing through the points and is .
20.The slope of the line passing through the points and is .
21.The slope of the line passing through the points and is .
22.The slope of the line passing through and is . Therefore, .
23.The slope of the line passing through and is . Therefore, .
For problems 24 through 27, graph the line satisfying the following conditions on the axes provided.
24.y-intercept 4, slope –525.passes through , slope
26.x-intercept –4, undefined slope27.passes through , slope 0
28.The line with y-intercept and slope has equation + = .
29.The line passing through with slope has equation + .
30.The line passing through and has equation + = .
31.The equation has slope and y-intercept .
For problems 32 through 35, graph the line with the given equation.
32.33.
34.35.
36.The line is translated 2.5 units down. The equation of the resulting image is
+ .
37.The equation of the line passing through perpendicular to the line is
+ = .
38.The graph of a line and a point P is shown below. The equation of the line passing through P and the line graphed is + .
For problems 39 and 40, each table below shows values for a linear function. Complete the table by filling in the values for the empty cells.
39.
/ –3 / –1 / 0 / 1 / 3/ 7 / 1
40.
/ 0 / 1 / 3 / 6 / 10/ –8 / –2
41.If , then .
42.Let be the linear function with slope and y-intercept . .
For problems 43 and 44, let f and gbe the functions shown in the graphs.
43. 44.
45.The point lies on the line . Therefore, .
46.The point lies on the line . Therefore, .
47.The points , , and lie on a line. Therefore, .
48.The graph of has x-intercept .
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