Download Exam 1 prep. Ch.2-3

M 52 RCC
Exam 1 (Ch. 2 & 3) Preparation
Math Instructor
Elena Seager
# 1 – 3 Find the product or quotient
4  20 
  
1.
3  21 
7 42
2.  
15 5
2 21  25 
3.      
35 20  33 
# 4, 5 Find the sum or difference
3
5

4.
20 16
5
1
5. 12  18
21
14
# 6 – 10 Evaluate the expression
6. 15  2  32
7. 42  5   2 
8.
 4 
2
 5   2 
3
9. 12.5   1.2  8 11
10.  5    2  7 
# 11 – 18 Solve the equation
11. 4x – 13x – 13 = 41
12. 2x + 19 = 5x + 4
y  6 2 y  1  y  8 15



13.
2
5
10
4
5  x  3 x
4x  2
14.
1 
 7
6
6
3
15. 5 – 0.4(x – 3) = 3.2x – 2.8
4
3x
16.  7  x  
5
10
17. 6(5 – x) – 7 = 10 – 6x
18. 4 – 3(x – 5) = 19 – 3x
19. Find a) the perimeter and b) the area of the square
3
Answers:
80
63
1

18
1
22
37
80
5
5
6
1. 
2.
3.
4.
5.
6. 33
7. – 26
8. – 24
9. – 1320
10. – 150
2
11. { - 6}
12. { 5 }
5
13.  
4
14. { - 61 }
5
15.  
2
 56 
16.  
 11 
17. 
18. any real number
19. a) P = 32 m
b) A = 64m²
8m
20. Find a) the perimeter
and b) the area of the rectangle
20. a) P = 24 cm
b) A = 35 cm²
5 cm
7cm
1
21. 52.7 is 17% of what number?
22. What number is 12% of 32?
23. 24 is what percent of 160?
24. A sofa was discounted by 40% for a clearance sale,
Has a price tag is $ 99. What the sofa’s original price?
25. Two cars leave a town, one traveling north and the other
south. The car going north is traveling at 62 mph and the car
going south is traveling at 63mph. How long before they are
675 miles apart?
rate
time
distance
Answers:
21. 310
22. 3.84
23. 15%
24. $165
25. 5.4 hours
car going north
car going south
26. The perimeter of a rectangular garden is 78 yards.
The length of the garden is 15 yards less than twice the
width. a) Find the length and the width of the garden.
b) What is the area of the garden?
26. a) l = 21 yd
w = 18 yd
b) A = 378 yd²
w
l
# 27 – 31 Solve the inequality and express the solution set in setbuilder notation and interval notation. Graph the solution set on a
real number line.
27. 6(x - 5) < 8(x + 2) – 6
28. 3 – 5(x – 2) ≥ 4x – 3(x + 1) – 2
29. 4(x + 4) ≥ 3x – 7
30. 6(x - 3)≤ 6(x + 5)
31. 2x – 5 > 2(x + 4)
1
32. Use the equation y  2  x to complete the table
3
x
y
(x, y)
–3
8
# 33 – 35 Find x- and y- intercepts, and then graph the linear
equation
33. 2x – 3y = 6
34. 3x + 4y = 12
35. 2x – 6y = 12
# 36 – 38 Draw a graph of the line that contains the given point
and has the given slope
1
36. ( - 4, 0), slope m 
2
2
37. (2, 1) , slope m 
3
38. (- 1, -3) , slope m = 2
27. {x | x > - 20}
(- 20, ∞)
28. {x | x ≤3 }
(- ∞, 3]
29. {x | x ≥ - 23}
[- 23, ∞)
30. {x | x is any
real number}
(- ∞, ∞)
31. Ø
32. y = 3, (- 3, 3)
x = - 18,
(-18, 8)
33. (0, - 2), (3, 0)
34. (0, 3), (4, 0)
35. (0, -2), (6, 0)
36 – 38 graph
2
39. Find the equation of the line with the slope 
1
3
and y – intercept (0, -2)
40. Find the equation of the line with the slope 5
1

and y – intercept  0,  
4

41. Find the equation of the line that contains
the points (1, 3) and (-2, 9)
Answers:
1
39. y   x  2
3
40. y  5 x 
1
4
41. y = - 2x + 5
42. Find the equation of the line that contains
the points (-1, -6) and (2, 9)
42. y = 5x – 1
43. Find the equation of the line that contains
the point (– 1, – 6) and parallel to the line y = - 3x +5
43. y = - 3x – 9
44. Find the equation of the line that contains
44. y = - 2x + 1
1
the point (– 3, 7) and perpendicular to the line y  x  5
2
45. y 
1
x
6
45. Find the equation of the line that contains the point ( 6, 1)
and perpendicular to the line y = - 6x
3