Test Bank for Precalculus Mathematics for Calculus 7th Edition Stewart / All Chapters 1 – 14 / Full Complete 2023

Stewart/Redlin/Watson – Precalculus 7e Chapter 1 Form A
1
2
 
3 5
 
3 48
3
r
2
s
3 64r
4
s
2
Precalculus Mathematics for Calculus 7th Edition
Stewart Test Bank

1. List the elements from the given set that are rational numbers.
   
   0,  2, 50, , 0.521, 2 2, 1.23, 
   1
   , 6
   3
   4, 4
   
    
2. State the property of real numbers being used.
   2x  3y  4z  2x  3y  4z
3. Perform the indicated operations.
   1
   12
   1
   
   1
   8 12
4. Evaluate each expression.
   (a)
    7 
   0
    
    
   2
   1
   (b) 3
   3
   4
   0
   (c)
    1 
   2
    
    
5. Evaluate the expression.
6. Find the set A  C if A   x | x  4  and C   x | 2  x  6 .
7. Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote
   positive numbers.
8. Simplify the expression.
    a
   2
   b
   5/3 
   6
    a
   1/3
   b
   2/3 
9. A hummingbird’s heart can beat 1260 times per minute. Estimate the number of times its heart will
   beat in 2 years. State your answer in scientific notation.
10. Factor the expression completely.
    x
    2
    x
    2 1  25x
    2 1
11. Perform the indicated operation and simplify.
    
    
    2
    
    x x 1
    3
     x 1
    2

Stewart/Redlin/Watson – Precalculus 7e Chapter 1 Form A
2
 
2
6  2

12. Rationalize the denominator.
13. Find all real solutions of the quadratic equation.
    z
    2 
    8
    z 
    16
     0
    5 25
14. Caitlin drove from Greensville to Bluesburg at a speed of 50 mi/h. On the way back, she drove at 75
    mi/h. The total trip took 7
    1
    h of driving time. Find the distance between these two cities.
    2
15. Solve the absolute value inequality. Express the answer using interval notation.
    8x  5  15
16. Two points P and Q are given.
    P0,8, Q11,8
    (a) Find the distance from P to Q.
    (b) Find the midpoint of the line segment PQ.
17. Find the equation of the circle with center 1, 7 and radius .
18. Determine whether the equation represents a circle, a point, or has no graph. If the equation is that of a
    circle, find its center and radius.
    x
    2  y
    2  x  2 y 
    5
     3
    4
19. Test the equation for symmetry and sketch its graph.
    y  x
    2 16
20. Find an equation for the line that passes through the point 5,1 and is perpendicular to the line
    x  3y 16  0 .
21. Find the equation of a line that passes through the point 7, 7 / 2 and the midpoint of 2, 4 and 3, 4.
22. Hooke’s Law states that if a weight w is attached to a hanging spring, then the stretched length s of the
    spring is linearly related to w. For a particular spring we have the equation s  0.4w  3.5 , where s is
    measured in inches and w in pounds. How long is the spring when a 5-lb weight is attached?
23. Determine the values of the variable for which the expression is defined as a real number.
     1 
    1/2
    
    x
    2  2x 15 

Stewart/Redlin/Watson – Precalculus 7e Chapter 1 Form A

24. In a certain city, the property tax collected for a home varies directly to the valuation of the property.
    The tax collected on a $105, 000 home is $2, 846 per year. What is the value of a home if the tax
    collected is $1, 735 ?
25. The resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire
    50 m long and 0.01m in diameter has a resistance of 25 ohms . Find the resistance of a wire made of
    the same material that is 20 m long and has diameter 0.02 m.

ANSWER KEY
Stewart/Redlin/Watson – Precalculus 7e Chapter 1 Form A
3 48
3 5

1. 0,  2, 50, 0.521, 1.23, 
   1
   ,
   6
2. Associative Property for addition
3. 2
4. (a)
    7 
   0
    
    
   2
   1 
   1
   2
   (b) 3
   3
   
   1
   4
   0 27
   (c)
    1 
   2
    
    
    25
5.  12
6.  x | 2  x  4 
7. 4r
   2
   s
8. a
   10b
   6
9. 1.32109
10. x
    2 x
    2 1 25x
    2 1   x 1 x 1 x  5 x  5
    11.
    3x
    2  x 1
    x  x 1
    2
11. 3 1
    2
12. z  4/ 5
13. 225mi
14. (,5 / 2) (5 / 4,)
15. (a) 11
    (b)  11
    , 8
    
    
    2
    
     
16. x
    2  2x  y
    2 14y  48  0
17. center
    
    
    1
    ,1
    
    , radius  2
    
     
    4
    3