Exam
H 0312 Chapter 3 Prac Test
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
State in which quadrant, if any, the point lies.
1) (-19, -8)
1)
2) (6, 4)
2)
Determine whether the ordered pair is a solution of the given linear equation.
3) y = 11x; (1, 11)
4) y - x = 9; (6, 3)
4)
Complete the ordered pair so that it is a solution of the given linear equation.
5) y = -x + 7;
(5, ), (7, ), (0, )
6) 2x + y = -8;
3)
(-8, ), (0, ), (1, )
5)
6)
Determine whether the equation is a linear equation in two variables.
7) 2x - 6y2 = 9
8) 9y = x - 8
7)
8)
Identify the intercepts.
9)
9)
1
Graph the linear equation by finding x- and y- intercepts.
10) -2x - 6y = 6
10)
Graph the linear equation.
11) -2x = y + 2
11)
Find the midpoint of the line segment whose endpoints are given.
12) (1, -3), (-8, 7)
12)
13) (7, 7), (-3, 4)
13)
Find the slope of the line if it exists.
14)
14)
2
Find the slope of the line that goes through the given points.
15) (-7, -5) and (1, -3)
15)
16) (-11, 13) and (-6, -8)
16)
Find the slopes of the lines that are (a) parallel to and (b) perpendicular to the line passing through the pair of points.
17) (-2, -2) and (4, 4)
17)
Solve.
18) (2, -9) and (1, 9)
18)
19) The pitch of a roof is its slope. Find the pitch of the roof shown.
19)
8 feet
18 feet
Determine the slope and the y-intercept of the graph of the equation.
20) x + 10y = 1
Determine whether the lines through the pairs of points are parallel, perpendicular, or neither.
21) 3x - 2y = 10
2x + 3y = -5
20)
21)
Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept.
22) Slope 6; y-intercept (0, 5)
22)
Use the slope-intercept form to graph the equation.
23) 7x + y = 6
23)
3
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through
the given point. Then write the equation in standard form.
1
24) Slope ; through (-2, 6)
24)
4
Find an equation of the line through the given points. Write the equation in standard form.
25) Through (4, -1) and (-5, 7)
25)
Find an equation of the line.
26) Parallel to y = -5, through (2, 7)
26)
27) Horizontal line through (-10, 4)
27)
Find an equation of the line described. Write the equation in standard form.
1
28) With undefined slope, through (- , -9)
2
28)
Graph the inequality.
29) -3x - 5y 15
29)
Find the domain and the range of the relation.
30) {(10, 3), (-8, 3), (-2, 3)}
30)
Determine whether the relation is also a function.
31) {(-1, 4), (2, -6), (6, 4), (9, -9), (10, -1)}
31)
32) {(-6, -3), (-1, 3), (4, 4), (4, 3)}
32)
Decide whether the equation describes a function.
33) y = x + 4
33)
34) y x - 2
34)
4
Use the vertical line test to determine whether the graph is the graph of a function.
35)
36)
35)
36)
Evaluate the function.
37) Find f(-3) when f(x) = x2 - 3x + 2.
37)
38) Find f(6) when f(x) = 4x + 12
38)
Find the domain of the function.
39) f(x) = 5x + 8
39)
5
Find the domain and range of the function graphed.
40)
40)
Find the domain of the function.
6
41) g(x) =
x-8
41)
6