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Transcript
1. The function H described by H(x) =2.75x+71.48 can be used to predict the height, in
centimeters, of a woman whose humerus (the bone from the elbow to the shoulder)is x
cm long. Predict the height of a woman whose humerus is 34 cm long.
164.98 cm
2. Solve. -10≤3x-9≤-2 The solution is {x| ≤x≤ }
1
3
The solution is {x| - ≤x≤
7
}
3
3. Solve by the elimination method. 7r-8s=-49 8r+7s=57. What is the solution of the
system? Select the correct choice. (Type an ordered pair. Use integers or fractions for any
number in the expression.) Or could there infinitely many solutions or no solution.
(1, 7)
4. Solve by the substitution method. 4x+7y =34 x=16 -3y. What is the solution of the
system? (Type an ordered pair.) or there is no solution.
(-2, 6)
5. Solve. 8x - (6x + 6) = 10. The solution is x =
The solution is x = 8
6. Solve 0.5x + 2 ≤ 0.9x -1. The solution is {x | x }. (Simplify your answer. Type an
inequality symbol; then type an integer or a decimal.)
The solution is {x | x ≥ 7.5}
7. Solve the system of equations by graphing. Then classify the systems as consistent or
inconsistent and dependent or independent. 7x - 4y = 28 4y - 7x = -28. What is the
solution of the system of equations? Is the system consistent or inconsistent? Are the
equations dependent or independent?
Infinitely many solutions
Consistent, dependent
8. Solve using the multiplication principle. Don't forget to perform a check. 7x = -63. The
solution is x =
The solution is x = -9
9. Solve the compound inequality. 7> -3x + 6 or 12≤ -2x + 5
7
1
( , ]  (  , )
2
3
10. Graph the equation. y = 2
11. Evaluate. r+s/10 for r =65 and s = 5 (Simplify your answer.)
Answer: 7
12. Collect like terms. 18c + 5d - 5c - 9d =
Answer: 13c – 4d
13. - 0.7x< - 14. The solution is {x| }. (Type an inequality.)
{x| x > 20}
14. The equation y = -1777x+27,153 can be used to predict the number y of gun deaths in
the U.S. x years after 2000, this is, x=0 corresponds to 2000, x=3 corresponds to 2003,
x=4 corresponds to 2004, and so. Predict the number of gun deaths in 2004 and 2008. In
what year will the number of gun deaths be 11,160?
Number of deaths in 2004: 20,045
Number of deaths in 2008: 12,937
Year when the number of gun deaths will be 11,160: 2009
15. Translate to an algebraic expression. The product of 31% and some number. (Type
the percentage as a decimal. Use y to represent some number.)
0.31y
16. Find the domain of the function. g(x) = 4/ 7 -8x
{x|x is a real number and x≠7/8}
17. Find the slope, if it exists, of the line containing the pair of points. (4,1) and (5,-2).
The slope m = (Simplify your answer. Type an integer or a fraction. Type N if the slope
is undefined.)
Slope = -3
18. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each
should be mix together in order to get 320-lb mixture that is 9% protein?
Soybean meal: 40 lb
Cornmeal: 280 lb
19. Solve the following systems of equations. x + 2y = 3 (1) x = 6 - 2y (2). What is the
solution of the system? Or is there no solution? (Type and ordered pair.)
NO SOLUTION
20. Use < or > to make the statement true. -11 16
-11 < 16
21. On three consecutive passes, a football team gains 10 yards, loses 12 yards, and gains
36 yards. What number represents the total net yardage?
Total net yardage = 34
22. Graph the equation using slope and the y - intercept. y = 6/5 x + 5
23. Use the intercepts to graph the equation. x + 2y = 4
25. Use the intercepts to graph the equation. x + 4y = 8
26. Simplify. 9[ - 16 -(87 - 1)]
Answer: -918
27. Find the slope and the y-intercept. f(x) = - 4x - 5
Slope: -4
y-intercept: (0, -5)
28. In 1994, the life expectancy of males in a certain country was 70.7 years. In 2000, it
was 73.9 years. Let e represent the life expectancy in year t and let r represent the number
of years in 1994. The linear function E(t) that fits the data is E(t) = t + . (Round to the
nearest tenth.) Use the function to predict the life expectancy of males in 2003. E(9) = .
(Round to the nearest tenth.)
E(t) = 0.5t + 70.7
E(9) = 75.2
29. Solve using the addition and multiplication principles. 8 + 4x < 44. The solution set is
{ x | x }. (Type an inequality symbol, then type an integer or a fraction.)
{x|x<9}
30. Graph the inequality on a plane. 3x + 4y ≤ 12
31. Amy paid $74.24 for a pair of running shoes during a 20%-off sale. What was the
regular price? (Round to the nearest cent, if necessary.)
92.80
32. Solve. Then graph. y - 6 > -18. The solution is {y |y> }
{y |y > -12 }
OR
33. Determine whether (6, - 6) is a solution of 8x - 2y = -6.
NO
34. Find the indicated outputs for f(x) = 4x² - 4x. f(0)= , f( -1) = , f(2) =
f(0)= 0, f( -1) = 8, f(2) = 8
35. Use the distributive property to help you solve the equation. 3(w - 2) = - 6
w=0
36. Solve for the indicated letter. F=9g, for g
g = F/9
37. Train A and B are traveling in the same direction on parallel tracks. Train A is
travelling at 60 miles per hour and train B is travelling at 80 miles per hour. Train A
passes a station at 10:10 AM. If train B passes the same station at 10:22 AM., at what
time will train B catch up to train A?
10:58 AM
38. Graph on a number line, where x is a real number. - 1 < x ≤ 4
39. Solve using multiplication principle. Don't forget to perform a check. - 1/2x = - 7/8
(Simplify your answer. Type an integer or a fraction.)
x = 7/4
40. Graph the equation and identify the y-intercept. y + x = - 2. (Type an ordered pair.)
y-intercept: (0, -2)
41. Solve using the multiplication principle. -4x> 1/11. The solution set is {x | x } (Type
and inequality symbol and a fraction.)
The solution set is {x | x < -1/44 }
42. Find the slope, if it exists x= -4. m= (Type an integer or a simplified fraction. Type N
if the slope is undefined.)
N undefined
43. Graph the system of inequalities y ≥ -3 x≥6
44. 50% of what number is 40?
80
45. Solve. 5/2x+1/4x=9/4+x The solution is x = (Type an integer or a simplified fraction.)
x = 9/7
46. Solve by the elimination method. 4x+5y =5 8x+ 10y =10. What is the solution of the
system? The solution is. (Type an ordered pair. Use integers or fractions for any numbers
in the expression.) Or are there infinitely many solutions or no solution.
infinitely many solutions
47. Graph the line containing the given pair of points and find the slope. (6,1), (- 1, - 2).
Slope = 3/7
48. Decide whether the pair of lines is parallel, perpendicular, or neither 5x + 3y = 6 5x +
3y = 3
Parallel
49. Find the domain of the function. p(x) = x² - 2x + 4. What is the domain of p?
{x| x is a real number}
50. Solve. Then graph 2x≥10
{x| x ≥ 5}
OR
51. Media Services charges $20 for a phone and $30/month for its economy plan. The
equation c=30t+20 describes the total cost, c, of operating a Media Services phone for t
months. The total cost for 2 month of services is? If a customer has only $90 available,
how month months of service can she receive? Graph the equation c = 30t+20.
The total cost for 2 month of services is? $80
If a customer has only $90 available, how month months of service can she receive? 2
1
3
52. Multiply. - 8/5. ( - 1/8) = (Type an integer or a simplified fraction.)
1/5
53. The width of a rectangle is fixed at 26cm. What lengths will make the perimeter
greater than 80cm?
14