Download 24. acbd Factor the polynomial. 25. abcd Factor the trinomial, if

24.
a.
b.
c.
d.
Factor the polynomial.
Work
25.
a.
b.
c.
d.
Factor the trinomial, if possible. If the trinomial cannot be factored using integers,
write prime.
Work
26.
a.
b.
c.
d.
27. x 2 − 9x − 22
€
a.
b.
Work
c.
d.
Work
28.
a.
b.
c. (t + 6)(t + 4)
d. (3t + 4)(t + 2)
Work
29. 9x 2 − 3x − 20
€
a. (x – 15)(x + 12)
b. (3x – 4)(3x + 5)
c. (3x + 4)(3x – 5)
d. (4x – 3)(5x + 3)
Work
30. 12 p 2 +14 p −10
€
a. (6p + 10)(2p – 1)
b. (6p – 1)(2p + 10)
c. (6p – 10)(2p + 1)
d. (p – 6)(p + 20)
Solve the trinomial equation.
Work
31.
a.
c.
b.
d.
Solve the trinomial equation
2
32. d −11d + 25 = 7
€
a. {2, 11)
b. {2, 9}
Work
c. {−2, −11}
d. {−2, −9}
33. Find the distance between the pair of points whose coordinates are given. Express as a
decimal approximation rounded to the nearest hundredth if necessary.
(−8, 2), (−9, 5)
a. 3.16
b. 11.75
c. 5
d. 13.75
Work
34. Find the length of the missing side. If necessary, round to the nearest hundredth.
Work
a. 106
c. 79.75
b. 86.13
d. 60
35. Find the slope of the line that passes through the pair of points.
(–3, –2), (5, 4)
Work
a. 3
4
b. 4
3
3
4
d. 4
−
3
c.
€
€
€
€
−
36. Find the slope of the line that passes through the pair of points.
Work
(2, –3), (–5, 1)
4
7
b. undefined
a.
c.
−
€
−
d. 3
7
2
3
€
€
37. Write an equation of the line with the given slope and y-intercept
2
slope: , y-intercept: –3
7
2
y =− x – 3
7
€
7
y= x–3
b.
2
Work
2
x+3
7
2
d.
y= x–3
7
a.
c.
€
€
€
€
y=
38. Write an equation for the total cost C of renting a bicycle and riding for m miles.
Beach Bike Rentals charges $5.00 plus $0.20 per mile to rent a bicycle.
a.
c.
Work
d.
b.
39. Graph the equation needed to represent the cost at Beach Bike Rentals.
a.
c.
b.
d.
40. Write an equation of the line that passes through the point with the given slope.
Work
a.
b.
c.
d.
41. Write an equation of the line that passes through the pair of points.
Work
1
11
x+
8
8
1
11
b.
y= x−
8
8
a.
1
11
y =− x−
8
8
1
8
d.
y= x+
8
11
c.
y=
€
€
€
€
42. Write an equation of the line that passes through the pair of points.
Work
a. y = –8x + 22
b. y = –8x +
c. y = x –
d. y = –8x –
43. Write the slope-intercept form of an equation for a line that passes through the point with
the given slope.
Work
(–4, 3), m = 1
a. y = 7x + 1
b. y = 1x – 4
c. y = 1x + 7
d. y = 1x + 3
44. Write each equation in standard form.
Work
y + 6 = (x + 4)
a. x + y = –2
b. y = x – 2
c. x – y = 2
d. x – y = 10
45. Write each equation in standard form.
Work
2
y + 3 = (x + 9)
5
2
3
x+
5
5
a. 2x – 5y = 33
c.
b. 2x – 5y = –3
d. 2x + 5y = 3
€
y=
€
46. Write the equation in slope-intercept form.
Work
y + 3 = 3(x −1)
a.
b.
€
c.
d.
47. Write the equation in slope-intercept form.
y −5 =
3
5
x−
4
4
3
5
b.
y= x+
4
4
a.
€
3
(x − 5)
4
Work
3
5
x+
4
4
3
3
d.
y= x−
4
5
c.
y=
€
€
€
€
y =−
48. Write the slope-intercept form of an equation of the line that passes through the given
point and is parallel to the equation given.
(5, –1), y = −
€
Work
11
3
x+
4
4
€b.
4
11
y= x+
3
5
3
11
c.
y =− x+
4
4
3
11
d.
y =− x−
4
4
a.
€
3
x +1
4
y=
€
€
49. Write the slope-intercept form of an equation of the line that passes through the given
point and is parallel to the equation given.
(–5, –3), 5x – 4y = 8
5
13
x+
4
4
5
13
b.
y= x−
4
4
4
13
c.
y =− x+
5
5
13
5
d.
y= x+
4
4
a.
€
€
Work
y=
€
€
50. Write the slope-intercept form of an equation that passes through the given point and is
perpendicular to the equation given.
1
(2, 2), y = − x + 5
5
1
y =− x −2
5
€ b. y = 5x – 8
c. y = 5x + 8
12
1
d.
y= x−
€
5
5
a.
€
Work