• 0

## Test Bank Precalculus Mathematics for Calculus 7th Edition by James Stewart A+

\$35.00
Test Bank Precalculus Mathematics for Calculus 7th Edition by James Stewart A+
1. List the elements from the given set that are rational numbers.

1. State the property of real numbers being used.

(2x + 3y )+ 4z = 2x +(3y + 4z )

1. Perform the indicated operations.

1. Evaluate each expression.

(a)

æ 7 ö0

 3

ç ÷

è ø

2-1

(b)

3-3

40

(c)

æ 1 ö-2

 5

ç ÷

è ø

1. Evaluate the expression.

1. Find the set A Ç C if A ={x | x < 4 }and C ={x | -2 < x £ 6 }.

1. Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.

1. Simplify the expression.

æa2b5 / 3 ö6

 è ø

ç a1/ 3b2 / 3 ÷

1. 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.

1. Factor the expression completely.

x2(x2-1)- 25(x2-1)

1. Perform the indicated operation and simplify.

1+2 +

x x -1

3

(x -1)2

1. Rationalize the denominator.

1. Find all real solutions of the quadratic equation.

z 2- 8 z + 16 = 0

5 25

1. 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

1. Solve the absolute value inequality. Express the answer using interval notation.

8x + 5 > 15

1. 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.

1. Find the equation of the circle with center (-1, 7)and radius .

1. 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.

x2+ y2 + x + 2 y + 5 = 3

4

1. Test the equation for symmetry and sketch its graph.

y + x2 = 16

1. Find an equation for the line that passes through the point (5,1)and is perpendicular to the line

x - 3 y + 16 = 0 .

1. Find the equation of a line that passes through the point (-7,7 / 2)and the midpoint of (-2, 4)and (3, 4).
2. 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?

1. Determine the values of the variable for which the expression is defined as a real number.

æ 1 ö1/2

 è ø

ç x2 + 2x -15 ÷

1. 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 ?

1. 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.

1. 0,

- 2, 50, 0.521, 1.23,

- 1 ,

6

3. 2

4. (a)

æ 7 ö0

 3

ç ÷

è ø

2-1 = 1

2

(b)

3-3 =1

40 27

(c)

æ 1 ö-2

 5

ç ÷

è ø

= 25

5. =12

6. {x | -2 < x < 4 }

7. 4r2s

8. a10b6

9. 1.32 ´109

10. x2(x2-1)- 25(x2-1)=(x -1)(x +1)(x - 5)(x + 5)

## 11.

3x2 - x + 1

x (x - 1)2

12. 3 -1

2

13. z = 4/ 5

14. 225 mi

15. (-¥, -5 / 2) È (5 / 4, ¥)

16. (a) 11

(b) æ-11 , -8 ö

ç 2 ÷

è ø

17. x2+ 2x + y2 -14 y + 48 = 0

18. center

æ - 1 , -1ö , radius

ç 2 ÷

è ø

## 19.

y-axis symmetry

20. y = 16 - 3x

21. 30 y - 2x -119 = 0

22. 5.5 inches

23. (-¥, -5) È (3, ¥)

24. \$64, 010

25. 2.5 ohms

1. List the elements from the given set that are rational numbers.

 í

ì0,

- 2, 25, , 0.49, 3,

- 1 ,

7

3 16 , 9 ü

 ý

î þ

1. State the property of real numbers being used.

(2x + 3y )+ 4z = 2x +(3y + 4z )

1. Perform the indicated operations.

2 + 1

5 2

1 + 3

10 5

1. Evaluate each expression.

(a)

æ 5 ö0

 3

ç ÷

è ø

3-1

(b)

3-3

50

(c)

æ 1 ö-2

 3

ç ÷

è ø

1. Evaluate the expression.

1. Find the set A Ç C if A ={x | x < 3 }and C ={x | -2 < x £ 10 }.

1. Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.

1. Perform the division and simplify.

x + 4 ¸x2+ 8x +16

9x2 - 4 3x2 +13x-10

1. 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.

1. Factor the expression completely.

x2(x2- 4)-16 (x2- 4)

1. Perform the indicated operation and simplify.

1 - 1

x 3

x -3

1. Rationalize the denominator.

1. Determine the values of the variable for which the expression is defined as a real number.

æ 1 ö1/2

 è ø

ç x2 + 2x -15 ÷

1. The approximate distance d (in feet) that drivers travel after noticing that they must come to a sudden

x2

stop is given by the formula d = x + , where x is the speed of the car in mi/h. If a car travels 120 ft

20

before stopping, what was its speed before the brakes were applied?

1. Solve the inequality.

x2 + x - 20 > 0

1. Two points P and Q are given. Sketch the line determined by P and Q, and find its equation in slope- intercept form.

P (1,-10), Q (-2, -4)

1. Find the equation of the circle with center (-1,5)and radius .

1. 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.

x2+ y2 + x + 2 y + 5 = 3

4

1. Test the equation for symmetry and sketch its graph.

9x + y2 = 0

1. Find an equation for the line that passes through the point (5,1)and is perpendicular to the line

x - 3 y + 16 = 0 .

1. Find the equation of a line that passes through the point (-7,1)and has slope of 1/ 2 .
2. Find the equation of the line in the figure.

(8,9)

1. Alyson drove from Bluesville to Greensburg at a speed of 60 mi/h. On the way back, she drove at 45

mi/h. The total trip took 5 3 h of driving time. Find the distance between these two cities.

5

1. 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 ?

1. The cost for one print run of a book is jointly proportional to the number of pages in the book and the number of books in the print run. Write an equation for the cost of a print run if it costs \$20, 000 to print 4000 copies of a 100-page book, and calculate the cost to print 400 copies of 293 page book.

1. 0,

-2, 25, , 0.49,

- 1 ,

7

3. 9/7

4. (a)

5. 20

æ 5 ö0

 3

ç ÷

è ø

3-1 =1

3

(b)

3-3 =1

50 27

(c)

æ 1 ö-2

 3

ç ÷ = 9

è ø

6. {x | -2 < x < 3 }

7. 3r2s3 3

x + 4¸x2+ 8x +16

=(x +5)

8. 9x2 - 4 3x2 +13x-10

(x + 4)(3x + 2)

## 9.

10.

11.

1.32 ´109

x2(x2- 4)-16(x2- 4)=(x - 2)(x + 2)(x - 4)(x + 4)

- 1 3x

12. 3 -1

2

13. (-¥, -5) È (3, ¥)

14. 40 mi/hr

15. (-¥, -5)È(4, ¥)

16. y =-8 - 2x

17. x2+ 2x + y2 -10 y + 23 = 0

18. center

æ - 1 , -1ö , radius

ç 2 ÷

è ø

y

## 20.

21.

22.

x-axis symmetry

y = 16 - 3x

y = x +9

2 2

y = 4 x -5

3 3

23. 144 mi 24. \$64, 010 25. \$5860

1. List the elements from the given set that are rational numbers.

 í

ì0,

- 2, 50, , 0.521, 2 2, 1.23,

- 1 ,

6

3 4, 4 ü

 ý

î þ

(a) 0,

- 2, 50, 1.23, - 1

6

(b) 0, , 0.521, 2 2 ,

- 1 ,

6

(c) 0,

- 2, 50, 0.521, 1.23,

- 1 ,

6

(d) 0, , 2 2 ,

(e) 0, - 2, 50

1. State the property of real numbers being used.

3xy = yx3

(b) Commutative Property for multiplication

(d) Associative Property for multiplication

(e) Distributive Property

1. Use the properties of real numbers to write the expression without parentheses.

æ d ö

 2

2xça -b -2c + ÷

è ø

(a) xa-xb-2xc +xd

(b) 2xa -2xb -xc+4xd

(c) xa-2xb -4xc +xd

(d) 2xa -2xb -4xc +xd

(e) 2xa-xb -4xc+xd

4

1. Which inequality is not true?

(a) - 1 < - 1

10 100

(b) 7 £ 7

(c)

(d)

> 1.7

- 1 £ -0.25 4

(e) all are true

1. Write the statement in terms of an inequality.

The distance from x to 3 is at most 6.

(a) x - 3 £ 6

(b) x - 3 ³ 6

(c) x - 3 < 6

(d) x - 6 £ 3

(e) x - 6 ³ 3

1. Find the set A Ç C if

A ={x | x < 4 }and C ={x | -2 < x £ 6 }.

(a) {x | -2 < x < 4 }(b) {x | -2 < x < 6 }(c) {x |4 < x < 6 }(d) {x | -2 < x £ 6 }

(e) none

1. Perform the indicated operations.

1

10

1 - 1

3 5

(a) 1 (b) 3/ 2 (c)

-3/ 2

(d) 2 (e) 3/ 4

1. Evaluate the expression.

(a) 36 (b) 24 (c) 12 (d) 2 (e) 4

1. Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.

(a) 4r3s2

(b) 64r6s3

(c) 3 4r4s2

(d) 8r2s

(e) 4r2s

1. Simplify the expression.

 2
 ÷ç 4
 ç

æ 3 xy3 öæ 3

è øè

- ö-2

x 1 y ÷

ø

(a)

(b)

8 y3

3x2

8 x3 y

3

(c) 3 xy

4

(d)

(e)

3y 8x3

3 xy3

2

1. Perform the division and simplify.

x + 2 ¸x2+ 6x + 8

9x2 - 4 3x2 +13x-10

(x + 5)

(a)

(b)

(c)

(d)

(x - 4)

(x + 4)(3x + 2)

(x +5)

(x -5)

(x + 4)(3x - 2)

(x + 5)

(x + 4)(3x + 2)

(e) none of these

1. A typical 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.

(a) 1.32 ´109 (b) 6.62 ´108 (c) 6.32 ´109 (d) 1.32 ´10-9 (e) 6.32 ´10-9

1. Alyson 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

(a) 225 mi (b) 175 mi (c) 185 mi (d) 125 mi (e) 450 mi

1. Factor the expression completely.

2x3 + x + 6x2 + 3

(a) (2x + 3)(x +1)(x +1)

(b) (x +3)(2x2+1)(c) (2x+3)(x2+1)(d) (x2+3)(2x+1)

(e) none of these

1. Perform the subtraction and simplify.

2 -

x + 3

1

x2+ 5x + 6

(a)

(b)

(c)

(d)

2x +11

x2+ 7x + 6

1

x2+5x+6 2x+1

x2+5x+6 2x+ 3

x2+ 5x + 6

(e) none of these

1. Rationalize the denominator.

(a) 34

(b) 2 +1 2

(c) 2 3 -1

4

(d) 3 -2 2

(e) 3 -1 2

1. Find all real solutions of the equation.

x + 2 =3x

x -2 3x -6

(a) {-2, 2}

(b)

ì 4 , 3ü

(c)

ì- 4 , 2ü

(d) {2}

(e) no solution

í 3 ý í 3 ý

î þ î þ

1. Solve the absolute value inequality. Express the answer using interval notation.

8x + 7 > 14

(a) (-¥, 7 / 8) È (7 / 8, ¥)

(b) (7 / 8, ¥)

(c) (-¥, -21 / 8) È (7 / 8, ¥)

(d) (-¥, -7 / 8) È (21 / 8, ¥)

(e) none of these

1. The approximate distance d (in feet) that drivers travel after noticing that they must come to a sudden

x2

stop is given by the formula d = x + , where x is the speed of the car in mi/h. If a car travels 175 ft

20

before stopping, what was its speed before the brakes were applied?

(a) 40 mi/hr

(b) 50 mi/hr

(c) 70 mi/hr

(d) 80 mi/hr

(e) 90 mi/hr

1. Find the equation of the circle with center (-1, 7)and radius .

(a) x2 + 2x + y2 -14 y + 48 = 0 (b) x2 - 2x + y2 -14 y + 48 = 0 (c) x2 + 2x + y2 +14 y + 48 = 0 (d) x2 + 2x +14 y + 48 = 0

(e) x2 +14x + y2 - 2 y + 48 = 0

1. 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.

x2+ y2 + x + 2 y + 5 = 3

4

(a) point

(b) no graph

(c) center

æ - 1 , -1ö , radius

ç 2 ÷

(d) center

è ø

æ - 1 ,1ö , radius 3

ç 2 ÷

(e) center

è ø

æ 1 ,1ö , radius 9

ç 2 ÷

è ø

1. Find an equation for the line that passes through the point (5,1)and is perpendicular to the line

x - 3 y + 16 = 0 .

(a)

(b)

(c)

(d)

(e)

y = x + 5

y = 1 x -16 5

y = 16 - 3x y = 3x +15

y = 1 x -2

3 3

1. Find the equation of a line that passes through the point (-7,7 / 2)and the midpoint of (-2, 4)and (3, 4).

(a) 30 y - 2x -119 = 0

(b) 2 y - 30 x = 0

(c) 40 y -120x -119 = 0

(d) 3 y - 2x -19 = 0

(e) 30 y - 40x -119 = 0

1. In a certain city, the property tax collected for a home is directly proportional 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 ?

(a) \$74, 866

(b) \$834, 289

(c) \$175, 387

(d) \$64,010

(e) \$85, 259

1. 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.

(a) 2.5 ohms

(b) 0.02 ohms

(c) 50.54 ohms

(d) 0.25 ohms

(e) 2500 ohms

# Stewart/Redlin/Watson - Precalculus 7e Chapter 1 Form C

1. c
2. b
3. d
4. e
5. a
6. a
7. e
8. c
9. e
10. b
11. d
12. a
13. a
14. b
15. d
16. e
17. e
18. c
19. b
20. a
21. c
22. c
23. a
24. d
25. a

1. List the elements from the given set that are rational numbers.

 î
 þ

ìï-3.13,-1, 7, , 0.521, 2 , 2.45, -1, 3 8, 8 üï

ïí 2 9 ýï

(a)

-3.13,

-1, 7, , 0.521, 2.45,

- 1 ,

9

(b)

, 2 , 2.45,

2

3 8,

(c)

-1, 7, 0.521, 2.45, - 1

9

(d) only 7

(e) all arerational

1. State the property of real numbers being used.

(x + 8y)+ 6z = x +(8 y + 6z )

(b) Commutative Property for multiplication

(d) Associative Property for multiplication

(e) Distributive Property

1. Use the properties of real numbers to write the expression without parentheses.

4 æ c d ö

x ça - + ÷

 4 2

è ø

(a) 4xa +xc +2dx

(b) 4xa - xc +dx

2

(c) 4xa -xc+2dx

(d) 4a -c +2d

(e) xa-xc+4dx

1. Which inequality is not true?

(a) -100 < -

(b) 7 £ 7

1

100

(c) >1.7

(d) - 1 £ -0.25

4

(e) all are true

1. Write the statement in terms of an inequality.

The distance from x to 4 is at most 5.5.

(a) x - 4 £ 5.5

(b) x - 4 ³ 5.5

(c) x - 4 < 5.5 (d) x -1.5 £ 4 (e) x - 5.5 ³ 4.5

1. Find the set A Ç C if A ={x | x < 7 }and C ={x | -2 < x £8}.

(a) {x | -2 < x < 8 }(b) {x | -7 < x < 8 }(c) {x |7 < x < 8 }(d) {x | -2 < x < 7 }

(e) none

1. Evaluate the expression.

2-1 - 2-2

(a) 0 (b) 1/ 4 (c) -2

(d) 2 (e) 1/ 8

1. Evaluate the expression.

(a) 36 (b) 24 (c) 12 (d) 2 (e) 4

1. Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.

(a) 9r3s s

(b) 9r 2 s

(c) 9r2s

(d) 4r2 33s

(e) 3r2s3 3

1. Simplify the expression.

x2- x -6 × x2+x

x2+2x x2-2x-3

(a) 1 (b) 2 (c)

1

x (x +2)

(d) (x + 1)

x

(x +1)

 ( )

(e)

x - 3

1. Perform the indicated operation and simplify.

1 - 1

x 3

 1

x -3

(a) 0 (b)

-(x -3)

(c)

1

x (x -3)

(d) -1 3x

(e)

-3x

1. Rationalize the denominator.

a) -

(b) 6 -1 2

(c) 3 -1 2

(d)

- (e) +

1. Determine the values of the variable for which the expression is defined as a real number.

æ 1 ö1/2

 è ø

ç x2 - 5x - 24 ÷

a) [3, 8] (b) (-¥, -3) È (8, ¥)

(c) (0, ¥)

(d) (-¥, -8) È (3, ¥)

(e) none of these

1. The approximate distance d (in feet) that drivers travel after noticing that they must come to a sudden

x2

stop is given by the formula d = x + , where x is the speed of the car in mi/h. If a car travels 175 ft

20

before stopping, what was its speed before the brakes were applied?

(a) 40 mi/hr (b) 50 mi/hr (c) 70 mi/hr (d) 80 mi/hr (e) 90 mi/hr

1. Solve the inequality.

x2 + 3x -18 £ 0

(a) (-¥, -6)È(-3, ¥)(b) (-¥, -6] È[3, ¥) (c) (-3, 6)

(d) [-6, -3]

(e) [-6, 3]

1. Find all real solutions of the quadratic equation.

z 2- 6 z + 9 = 0

5 25

(a)

- 3 , 3

5 5

(b)

- 5 , 3

3 5

(c) 5 3

(d) 1 (e) none of these

1. Two points P and Q are given.

P (0,-8), Q (-11,-8)

Find the distance from P to Q.

(a) 11 (b) 5 (c) 19 (d) 8 (e) 9

1. Find the equation of the circle with center (-2,1) and radius .

(a) x2 + 4x + y2 - 2 y + 8 = 0 (b) x2 + 4x + y2 - 2 y + 2 = 0 (c) x2 + 4x + y2 - y - 8 = 0 (d) x2 + 2x + y2 - 2 y + 8 = 0 (e) x2 - 4x + y2 + 2 y + 2 = 0

1. Test the equation for symmetry to determine the correct graph.

y2- 3x = 0

(a) x-axis symmetry (b) x-axis symmetry

4

2 y

0

-2

-4

(c) y-axis symmetry (d) origin- symmetry

-4 -2 0

2x 4

(e) none

1. Find an equation for the line that passes through the point (-1,7)and is parallel to the line x =2 y -1 .

(a)

(b)

(c)

(d)

y = x + 15

y =x +15

2 2

y = 15 -x

y = 2x + 15

2

(e)

y = x - 1

2

1. 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.

x2+ y2 - 8x + 4 y +18 = 0

(a) point

(b) no graph

(d) center

æ - 1 ö , radius

ç 2 ,4 ÷

è ø

(e) center (-4, 2), radius 4

1. Find the equation of the line in the figure.

(8,9)

(a) 4x + 3 y =3

(b) 5x + 3y =2

(c) 4 x + 8 y = 0 9 3

(d)

y = 4 x -5

3 3

(e) The equation of the line cannot be determined.

1. Taylor drove from Greensville to Bluesburg at a speed of 50 mi/h. On the way back, he drove at 75 mi/h. The total trip took 7 1 h of driving time. Find the distance between these two cities.

2

(a) 225 mi (b) 175 mi (c) 185 mi (d) 125 mi (e) 450 mi

1. The pressure of a sample of gas is directly proportional to the temperature T and inversely proportional to the volume V. Write an equation that expresses this fact if 50 L of gas exerts a pressure of 14 kPa at a temperature of 350oK (absolute temperature measured on the Kelvin scale).

(a) P =2T

V

(b) P =2V

T

(c) PV =T

(d) P =50T

V

(e) P =2TV

1. 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.

(a) 2.5 ohms (b) 0.02 ohms (c) 50.54 ohms (d) 0.25 ohms (e) 2500 ohms

# Stewart/Redlin/Watson - Precalculus 7e Chapter 1 Form D

1. a
2. c
3. c
4. e
5. a
6. d
7. b
8. c
9. e
10. a
11. d
12. c
13. b
14. b
15. e
16. e
17. a
18. b
19. a
20. b
21. c
22. d
23. a
24. a
25. a

1. List the elements from the given set that are rational numbers.

 í

ì0,

- 2, 50, , 0.521, 2 2, 1.23,

- 1 ,

6

3 4, 4 ü

 ý

î þ

(a) 0,

- 2, 50, 1.23, - 1

6

(b) 0, , 0.521, 2 2 ,

- 1 ,

6

(c) 0,

- 2, 50, 0.521, 1.23,

- 1 ,

6

(d) 0, , 2 2 ,

(e) 0, - 2, 50

1. State the property of real numbers being used.

(2x + 3y )+ 4z = 2x +(3y + 4z )

(b) Commutative Property for multiplication

(d) Associative Property for multiplication

(e) Distributive Property

1. Perform the indicated operations.

2 + 1

3 2

1 + 3

10 5

1. Which inequality is not true?

(a) - 1 < - 1 (b) 7 £ 7 (c) > 1.7 (d) - 1 £ -0.25

(e) all are true

10 100 4

1. Evaluate each expression.

(a)

(b)

æ 7 ö0

 3

ç ÷

è ø

3-3

40

2-1

(c)

æ 1 ö-2

 5

ç ÷

è ø

1. Find the set A Ç C if

A ={x | x < 4 }and C ={x | -2 < x £ 6 }.

(a) {x | -2 < x < 4 }(b) {x | -2 < x < 6 }(c) {x |4 < x < 6 }(d) {x | -2 < x £ 6 }

(e) none

1. Evaluate the expression.

(a) 36 (b) 24 (c) 12 (d) 2 (e) 4

1. Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.

1. 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.

1. Simplify the expression.

æ3 3 öæ3

-1 ö-2

ç2 xy

÷ç 4 x y ÷

è øè ø

(a)

 8 y3 (b) 8 3 3 xy (d) 3y (e) 3 xy3 3x2 3 4 8x3 2

x y (c)

1. Perform the subtraction and simplify.

2 -

x + 3

1

x2+ 8x +15

1. Rationalize the denominator.

1. Find all real solutions of the equation.

x + 2 =3x

x -2 3x -6

1. Factor the expression completely.

2x3 + x +10x2 + 5

(a) (x +5)(2x+1)2

(b) (x +2)(5x2+1)

(c) (x+1)(x + 5)(2x + 1)

(d) (x -5)(2x2-1)

(e) none of these

1. Solve the absolute value inequality. Express the answer using interval notation.

8x + 5 > 15

1. Two points P and Q are given. Sketch the line determined by P and Q, and find its equation in slope- intercept form.

P (1,-10), Q (2,-12)

1. Find the equation of the circle with center (-1,7)and radius .

1. 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.

x2+ y2 + x + 2 y + 5 / 4 = 3

1. Test the equation for symmetry and sketch its graph.

y + x2 =16

1. Find the area of the right triangle with base AB , where the vertices are

A =(-3, 0), B =(2,0)and C =(2,4).

1. Find the equation of a line that passes through the point (-7,7 / 2)and the midpoint of (-2, 4)and (3, 4).
2. Find an equation for the line that passes through the point (5,1)and is perpendicular to the line

x - 3 y + 16 = 0 .

(a)

(b)

(c)

(d)

(e)

y = x + 5

y = 1 x -16 5

y = 16 - 3x y = 3x +15

y = 1 x -2

3 3

1. 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

1. In a certain city, the property tax collected for a home is directly proportional 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 ?

(a) \$74, 866

(b) \$834, 289

(c) \$175, 010

(d) \$64,010

(e) \$85, 259

1. 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.

1. c

1. c

3. 5/3

4. e

5. (a)

æ 7 ö0

 3

ç ÷

è ø

2-1 = 1

2

(b)

3-3 =1

40 27

(c)

æ 1 ö-2

 5

ç ÷

è ø

= 25

1. a

1. c

8. 3r2s3 3

9. 1.32 ´109

## 10. b

 2

11. - 1

= 2x +9

x + 3

12. 3 -1

2

x2+ 8x +15

x2+ 8x +15

1. no solution

1. e

15. (-¥, -5 / 2) È (5 / 4, ¥)

16. y =-8 - 2x

17. x2+ 2x + y2 -14 y + 48 = 0

18. center

æ - 1 , -1ö , radius

ç 2 ÷

è ø

## 19.

y-axis symmetry

20. 10

21. 30 y - 2x -119 = 0

## 22. c

23. 225 mi

1. d

1. 2.5 ohms

1. List the elements from the given set that are rational numbers.

 í

ì0,

- 2, 25, , 0.49, 3,

- 1 ,

7

3 16 , 9 ü

 ý

î þ

1. State the property of real numbers being used.

3xy = yx3

(b) Commutative Property for multiplication

(d) Associative Property for multiplication

(e) Distributive Property

1. Perform the indicated operations.

2 + 1

5 2

1 + 3

10 5

1. Evaluate the expression.

31/ 2271/ 2

1. Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers.

1. Find the set A ÇC if A ={x | x <3 }and C ={x | -2 <x £10 }.

1. Evaluate each expression.

(a)

(b)

æ 5 ö0

 3

ç ÷

è ø

3-3

50

3-1

(c)

æ 1 ö-2

 3

ç ÷

è ø

1. Simplify the expression.

x2- x -6 × x2+x

x2+2x x2-2x-3

1. Simplify the expression.

(a) 3x2y

(b) 27x3 y2

(c) 3y

(d) 3 9x2y3

(e) 9x2y2

1. Factor the expression completely.

x2(x2- 4)-16 (x2- 4)

1. Perform the indicated operation and simplify.

1 - 1

x 3

 1

x -3

(a) 0 (b)

-(x -3)

(c)

1

x (x -3)

(d) - 1 3x

(e)

-3x

1. Rationalize the denominator.

1. Determine the values of the variable for which the expression is defined as a real number.

æ 1 ö1/2

 è ø

ç x2 - 5x - 24 ÷

1. The approximate distance d (in feet) that drivers travel after noticing that they must come to a sudden

x2

stop is given by the formula d = x + , where x is the speed of the car in mi/h. If a car travels 175 ft

20

before stopping, what was its speed before the brakes were applied?

1. Solve the absolute value inequality. Express the answer using interval notation.

8x + 5 > 15

1. Find all real solutions of the quadratic equation.

z 2- 8 z + 16 = 0

5 25

1. Two points P and Q are given.

P (0,-8), Q (-11,-8)

Find the distance from P to Q.

(a) 11 (b) 5 (c) 19 (d) 8 (e) 9

1.  2
If M (2,1)is the midpoint of the line segment AB , and if A has coordinates (-1 ,6), find the

coordinates of B .

1. Test the equation for symmetry to determine the correct graph.

y2- 3x = 0

(a) x-axis symmetry (b) x-axis symmetry

4

y 2 y

0

-2

-4

 5 4 3 y 2 1 -4 -2 2x 4

(c) y-axis symmetry (d) origin- symmetry

0

(e) none

1. Find an equation for the line that passes through the point (5,1)and is perpendicular to the line

x - 3 y + 16 = 0 .

1. 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.

x2+ y2 - 8x + 4 y +18 = 0

(a) point

(b) no graph

(d) center

æ - 1 ö , radius

ç 2 ,4 ÷

è ø

(e) center (-4, 2), radius 4

1. Find the equation of the line in the figure.

(8,9)

1. Taylor drove from Bluesville to Greensburg at a speed of 60 mi/h. On the way back, he drove at 45 mi/h.

The total trip took 5 3 h of driving time. Find the distance between these two cities.

5

1. The pressure of a sample of gas is directly proportional to the temperature T and inversely proportional to the volume V. Write an equation that expresses this fact if 50 L of gas exerts a pressure of 14 kPa at a temperature of 350oK (absolute temperature measured on the Kelvin scale).

(a) P =2T

V

(b) P =2V

T

(c) PV =T

(d) P =50T

V

(e) P =2TV

1. The cost for one print run of a book is jointly proportional to the number of pages in the book and the number of books in the print run. Write an equation for the cost of a print run if it costs \$20, 000 to print 4000 copies of a 100-page book, and calculate the cost to print 400 copies of 293 page book.

# Stewart/Redlin/Watson - Precalculus 7e Chapter 1 Form F

1. 0,

-2, 25, , 0.49,

- 1 ,

7

2. b

3. 9/7

4. 9

## 5.

=(x x )1/3=(x2/2x1/2)1/3=(x3/2)1/3=x1/2=

6. {x | -2 < x < 3 }

7. (a)

8. 1

9. e

æ 5 ö0

 3

ç ÷

è ø

3-1 = 1

3

(b)

3-3 =1

50 27

(c)

æ 1 ö-2

 3

ç ÷ = 9

è ø

10. x2(x2- 4)-16(x2- 4)=(x - 2)(x + 2)(x - 4)(x + 4)

## 11. d

12. 3 -1

2

13. (-¥, -3) È (8, ¥)

14. 50 mi/hr

15. (-¥, -5 / 2) È (5 / 4, ¥)

z = 4

5

18. (9/ 2, -4)

20.

y = 16 - 3x

22.

y = 4 x -5

3 3

23. 144 mi

## 24. a

25. \$5860

Only 0 units of this product remain