1 Week 2 Homework for MTH 125 Name_______________

1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July
20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best
completes the statement or answers the question.
Graph the equation by determining the missing values needed to
plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)

D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);

D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one
endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q

Solve the problem.
5) The graphing calculator screen shows the graph of one of the
equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if
possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to
right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.

5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -

C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or
neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______

A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying
the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x +
14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______

A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write
the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x +
4y = -56

The boundary of the graph of the linear inequality will be a
_____ line, and the shading will be _____ the line. Fill in
the first blank with either solid or dashed. Fill in the second
blank with above or below.
16) y < x - 16) ______
A) solid; above B) solid; below C) dashed; above D) dashed;
below
Graph the linear inequality in two variables.
17) 4x + y ≤ -6
17) ______
A)
B)
10

C)
D)
Graph the compound inequality.
11
18) x + y ≥ 2 and y ≤ 2
18) ______
A)

B)
12
C)
D)
19) 3x + 2y > 4 or x > 2
19) ______
A)
13

B)
C)
D)
Choose the inequality that best matches the given calculator
graph.
14
20)
20) ______
A) y ≤ 2x + 2 B) y ≤ -2x - 2 C) y ≥ -2x - 2 D) y ≥ 2x + 2

Decide whether the relation is a function.
21) {( -2, -9), ( 2, 8), ( 6, -2), ( 9, -2), ( 11, -8)} 21)
______
A) Function B) Not a function
22) 22) ______
A) Function B) Not a function
Decide whether the relation is a function, and give the domain
and range.
23)
23) ______
A) Not a function; domain: {-3, 0, 6}; range: { -4, -9}
B) Function; domain: { -4, -9}; range: {-3, 0, 6}

15
C) Function; domain: {-3, 0, 6}; range: { -4, -9}
D) Not a function; domain: { -4, -9}; range: {-3, 0, 6}
SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.
Solve the problem.
24) The table shows the percentage of seniors at a certain 4-year
college who believed that after graduating they would be
able to find a job related to their field of study.
(a) Does the table define a function?
(b) What are the domain and range?
(c) Call this function f. Give two ordered pairs that belong to f.
24) _____________

Provide an appropriate response.
25) Give a definition of Range. 25) _____________
Solve the problem.
26) Find f( -3) when f(x) = x2 + 3x - 4. 26) ______
A) 22 B) -4 C) 14 D) 4
Evaluate the function.
27) Find f( 0) if f = {(-2, 3), (3, 0), (0, 5), (5, -2)} 27)
______
A) ( 5, 3) B) 5 C) None of these D) 3
Graph the linear function. Give the domain and range.

16
28) f(x) = 2x + 3
28) ______
A) Domain: (-∞, ∞) Range: (-∞, ∞)
B) Domain: (-∞, ∞) Range: (-∞, ∞)
Solve the problem.
17

29) Crafty Bill's Cool Car Sales opened as a used car sales lot
in 1991. The graph shows the number of cars sold as a
function of time. Is this the graph of a function? What is the
domain?
29) ______
A) Function; Domain: [2005, 2011] B) Function; Domain:
[2007, 2011]
C) Not a function; Domain: [2007, 2011] D) Not a function;
Domain: [2005, 2011]
30) If the ordered pair ( 6, 8) belongs to function g, then g( ) =
. 30) ______
A) 6; 8 B) x; 8 C) 8; 6 D) y; 6
Complete the table of ordered pairs for the equation.

31) 4x + 6y = 24
31) ______
A) 4; 0; ; B) 0; ; 1 C) 4; ; 0 D) 0; ;
Find the x- and y-intercepts, and graph the equation.
18
32) 2x - 4y = -8
32) ______
A) (0, 2), ( 4, 0)
B) (0, -4), ( 2, 0)

C) (0, -2), ( -4, 0)
19
D) (0, 2), ( -4, 0)
33) x = 4
33) ______
A) None; (0, 4)

20
B) ( 4, 0); none
C) ( 4, 0); none
D) None; (0, 4)
Find an equation of the line, and write it in (a) slope-intercept
form if possible and (b) standard form.
21
34) Through ( -4, -6) and perpendicular to y = x + 13 34)
______
A) (a) y = -2x – 14 (b) 2x + y = -14
B) (a) y = x – 4 (b) x - 2y = 8
C) (a) y = 2x – 14 (b) 2x - y = -14

D) (a) y =- x – 8 (b) x + 2y = -16
Graph the inequality or compound inequality.
35) 2x + 3y > -5
35) ______
A)
22
B)
C)

D)
Decide whether the ordered pair is a solution of the given
system.
36) x + y = 6 x - y = 4 ; ( 5, 1) 36) ______
A) Yes B) No
Solve the system by graphing.
23
37) 4x + y = -17 x + 6y = -10
37) ______
A) {( 4, -1)} B) {( -4, -1)} C) {( -5, 3)} D) {( -4, -5)}
Solve the system by substitution. If the system is inconsistent
or has dependent equations, say so.
38) y = - x 5x - 6y = -4 38) ______

A) B) ∅ ; inconsistent system
C) D)
Solve the system by elimination. If the system is inconsistent or
has dependent equations, say so.
39) -x + 6y = 9 8x - 6y = 54 39) ______
A) {( 10, 2)} B) {( -3, 9)} C) {( 9, 3)} D) ∅ ; inconsistent
system
Tell how many solutions the system has. Do not actually solve.
40) 2x + 5y = -1 4x + 10y = -2 40) ______
A) No solution B) Infinitely many C) One solution

Solve the system of equations.
24
41) x + y + z = 7
x - y + 2z = 7
5x + y + z = 11 41) ______
A) {(1, 4, 2)} B) {(4, 1, 2)} C) {(4, 2, 1)} D) {(1, 2, 4)}
42) x - y + z = 8
x + y + z = 6
x + y - z = -12 42) ______
A) {(2, -1, 9)} B) {(2, -1, -9)} C) {(-2, -1, 9)} D) {(-2, -1, -
9)}
43) 5x + 2y + z = -11
2x - 3y - z = 17
7x + y + 2z = -4 43) ______

A) {(3, 0, -4)} B) {(-3, 0, 4)} C) {(0, 6, -1)} D) {(0, -6, 1)}
44) 7x + 7y + z = 1
x + 8y + 8z = 8
9x + y + 9z = 9 44) ______
A) {(-1, 1, 1)} B) {(1, -1, 1)} C) {(0, 0, 1)} D) {(0, 1, 0)}
45)
45) ______
A) {( 2, -1, 4)} B) {( -1, 4, 2)} C) {( -1, 2, 4)} D) {( 4,
2, -1)}
46)
46) ______
A) {( 1, 3, -3)} B) {( -3, 3, 1)} C) {( -3, 1, 3)} D) {( 3, -
3, 1)}

47) x + y - z = -4
25
- x - y - z = 2
x + y + z = 13 47) ______
A) B)
C) D)
48) 48) ______
A) {( 2.0, 3.7, 4.1)} B) {( 4, 3.7, -12.3)}
C) {( 2.0, 3.7, -4.1)} D) {( 2.0, -3.7, -4.1)}
49)

49) ______
A) {( 0, -5, 0)} B) {( 0, -5, 5)} C) {( -5, 0, -5)} D) {( 0,
0, -5)}
Solve the system of equations. If the system is inconsistent or
has dependent equations, say so.
50)
50) ______
A) ∅ ; inconsistent system
B) {( -3, 2, 1)}
C) {( 2, 1, -3)}
D) {(x, y, z) }; dependent equations
Solve the problem.

26
51) During the 1998-1999 Little League season, the Tigers
played 47 games. They won 25 more games than they lost.
How many games did they win that season? 51) ______
A) 36 games B) 33 games C) 11 games D) 38 games
52) During the 1998-1999 Little League season, the Tigers
played 50 games. They won 6 more games than they lost.
How many games did they lose that season? 52) ______
A) 28 games B) 22 games C) 20 games D) 25 games
53) The perimeter of a rectangle is 28 cm. The length is 8 cm
longer than the width. What are the length and width of
the rectangle? 53) ______

A) Length: 15 cm; width: 7 cm B) Length: 8 cm; width: 3 cm
C) Length: 11 cm; width: 3 cm D) Length: 14 cm; width: 6
cm
54) The perimeter of a rectangle is 60 m. If the width were
doubled and the length were increased by 15 m, the
perimeter would be 108 m. What are the length and width of
the rectangle? 54) ______
A) Length: 9 m; width: 21 m B) Length: 15 m; width: 10 m
C) Length: 15 m; width: 15 m D) Length: 21 m; width: 9 m
55) Mrs. Boyd has a desk full of quarters and nickels. If she has
a total of 23 coins with a total face value of $ 4.55 ,
how many of the coins are nickels? 55) ______
A) 8 nickels B) 6 nickels C) 17 nickels D) 22 nickels
1

Participation Exercises for Week 2 – July 20, 2021
Name___________________________________
Solve the problem.
1) The graphing calculator screen shows the graph of one of the
equations below. Which equation is it?
1) _______
A) y = 3x + 3 B) y + 3x = 15 C) y - 3x = 15 D) y + 3x = 3
Find the x- and y-intercepts. Then graph the equation.
2) x = 5
2) _______
A) None; (0, 5)

2
B) ( 5, 0); none
C) ( 5, 0); none
D) None; (0, 5)
3
Find the slope of the line.
3)
3) _______
A) B) - C) 3 D) - 3

4)
4) _______
A) 0 B) 2 C) -2 D) Undefined
Find the equation in slope-intercept form of the line satisfying
the conditions.
5) Slope - ; b = 5 5) _______
A) y = - x + 5 B) y = - x - 5 C) y = x - 5 D) y = x + 5
Find an equation of the line passing through the two points.
Write the equation in standard form.
6) (-2, 6) and (-1, 6) 6) _______
A) -x - 2y = 0 B) y = 6 C) -2x - y = 0 D) x = -2
4
The boundary of the graph of the linear inequality will be a

_____ line, and the shading will be _____ the line. Fill in
the first blank with either solid or dashed. Fill in the second
blank with above or below.
7) y ≤ 3x - 7) _______
A) dashed; above B) solid; above C) dashed; below D) solid;
below
8) y ≥ - x + 8) _______
A) dashed; above B) solid; below C) dashed; below D) solid;
above
Determine whether the relation defines y as a function of x.
Give the domain.
9) 9x + 4y > -5 9) _______
A) Function; domain: (-∞, ∞) B) Function; domain:
C) Not a function; domain: (-∞, ∞) D) Not a function; domain:
10) xy = -9 10) ______
A) Function; domain: (-∞, 0) ∪ (0, ∞) B) Not a function;
domain: (-∞, ∞)
C) Function; domain: (-∞, ∞) D) Not a function; domain: (-∞, 0)
∪ (0, ∞)

An equation that defines y as a function of x is given. Solve for
y in terms of x, and replace y with the function
notation f(x).
11) 5x - 6y = 5 11) ______
A) f(x) = 5 - B) f(x) = 5 - 5x C) f(x) = D) f(x) = -5x -
Solve the problem.
12) Suppose all items in an ice cream truck cost $ 0.97 per item.
(a) Fill in the table with the correct response for the cost
f(x) of purchasing x items. (b). Write the linear function that
gives a rule for finding the cost.
12) ______
A) (a) (b) f(x) = 0.97x + 0.97
B) None of these
5

C) (a) (b) f(x) = 0.97
D) (a) (b) f(x) = 0.97x
Decide whether the pair of lines is parallel, perpendicular, or
neither.
13) 4x + y = -7 and 5y = 30x - 8 13) ______
A) Parallel B) Perpendicular C) Neither
Find an equation of the line, and write it in (a) slope-intercept
form if possible and (b) standard form.
14) Through (-3, 5); m = -8 14) ______
A) (a) y = -8x - 19 (b) 8x + y = 19
B) (a) y = -8x + 26 (b) 8x + y = 26
C) (a) y = 8x - 17 (b) -8x + y = -17

D) (a) y = -8x - 19 (b) 8x + y = -19
Graph the inequality or compound inequality.
15) y ≥ - 3x - 1 and x - y ≥ -1
15) ______
6
A)
B)
C)
D)

7
Solve the system by substitution. If the system is inconsistent
or has dependent equations, say so.
16) 8y - 8 = -x
2x - 5y = -5 16) ______
A) {(1, 0)} B) {(0, 1)} C) {(1, 1)} D) {(0, 0)}
17) x + y = 4
x - 2y = 21 17) ______
A) {(-6, -8)} B) {(6, 8)} C) {(6, -8)} D) {(-6, 8)}
Solve the system of equations.
18)
18) ______

A) B) C) D)
19)
19) ______
A) {( 4, 2, 1)} B) {( 4, 1, 2)} C) {( -4, 1, 8)} D) {( -4, 8,
1)}
Solve the problem.
20) The perimeter of a triangle is 66 cm. The triangle is
isosceles now, but if its base were lengthened by 6 cm and each
leg were shortened by 3 cm, it would be equilateral. Find the
length of the base of the original triangle. 20) ______
A) 22 cm B) 16 cm C) 25 cm D) 15 cm
21) Two angles are supplementary, and one is 40° more than
three times the other. Find the smaller angle. 21) ______
A) 75° B) 35° C) 105° D) 145°

8
Solve the system by substitution or elimination. If a system is
inconsistent or has dependent equations, say so.
22) y = - x
-5x + 4y = 7 22) ______
A) B)
C) D) ∅ ; inconsistent system
23) x - 2y = -7
7x - 3y = 17 23) ______
A) {( 5, 6)} B) {( -5, 7)} C) {( 4, 7)} D) ∅ ; inconsistent
system

24) Which one of the following has positive slope and negative
y-coordinate for its y-intercept? 24) ______
A)
B)
9
C)
D)
Solve the problem.
25) Suppose all items in an ice cream truck cost $ 0.80 per item.
(a) Fill in the table with the correct response for the cost
f(x) of purchasing x items. (b). Write the linear function that
gives a rule for finding the cost.

25) ______
A) (a) (b) f(x) = 0.80x + 0.80
B) (a) (b) f(x) = 0.80x
10
C) (a) (b) f(x) = 0.80
D) None of these

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