Test Bank For Algebra and Trigonometry with Analytic Geometry
Chapter 1A
CHAPTER 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Rewrite the number without using the absolute value symbol, and simplify the result.
a. 29
b. -84
c. 4
d. –4
e. 84
____ 2. Rewrite the following expression without using the absolute value symbol, and simplify the result.
a.
b.
c.
d.
e.
____ 3. Replace the symbol "?" to make the resulting statement true for all real numbers : p, b, and c, whenever the
expressions are defined.
a.
b.
____ 4. Approximate the real-number expression to four decimal places :
a. 3.7500
b. 4.4261
c. 1.9261
d. 2.6761
e. 5.5572
____ 5. Express the number in decimal form.
a. 0.000011
1
,Test Bank For Algebra and Trigonometry with Analytic Geometry
Chapter 1A
b. 0.011
c. 0.0011
d. 0.11
e. 0.00011
____ 6. The population dynamics of many fish are characterized by extremely high fertility rates among adults and
very low survival rates among the young. A mature halibut may lay as many as 2.2 million eggs, but only
0.00036% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of
offspring that live to age 3.
a.
b.
c.
d.
e.
____ 7. The two given numbers are coordinates of points and , respectively, on a coordinate line. Express the
indicated statement as an inequality involving the absolute value symbol.
, is at least
a.
b.
c.
d.
e.
____ 8. Simplify the expression:
a.
b.
c.
d.
e.
____ 9. Simplify the expression.
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,Test Bank For Algebra and Trigonometry with Analytic Geometry
Chapter 1A
a. 1
b.
c.
d.
e.
____ 10. Express as a polynomial.
a. 3x 6 - 7x 5 - 15x 4 + 21x 3 - 26x 2 + 45x - 105
b. 3x 6 - 7x 5 - 15x 4 + 44x 3 + 21x 2 + 45x - 105
c. 3x 6 - 7x 5 - 15x 4 + 26x 3 + 21x 2 + 45x - 105
d. 3x 4 - 7x 3 - 15x 5 + 44x 6 + 21x 2 + 45x - 105
e. 3x 4 - 7x 5 - 15x 3 + 3x 6 + 7x 2 + 45x - 105
____ 11. Express as a polynomial.
a. 81x 4 + 198x 2 y 2 + 121y 4
b. 121x 4 - 198x 2 y 2 + 81y 4
c. 121x 4 + 99x 2 y 2 + 81y 4
d. 81x 2 + 198x 4 y 4 + 121y 2
e. 81x 4 + 99x 2 y 2 + 121y 4
____ 12. Express as a polynomial.
a. 8x 3 + 28x 2 y + 294xy 2 + 196y 3
b. 8x 3 + 84x 2 y + 294xy 2 + 343y 3
c. 8x 3 + 28x 2 y + 98xy 2 + 343y 3
d. 8x 3 + 84x 2 y + 98xy 2 + 686y 3
e. 8x 3 + 294x 2 y + 84xy 2 + 343y 3
____ 13. Factor the polynomial.
a. m(k + t)
b. m(4k + t)
c. 4(k + mt)
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, Test Bank For Algebra and Trigonometry with Analytic Geometry
Chapter 1A
d. m(k + 4t)
e. 4m(k + t)
____ 14. Factor the polynomial.
a. 7x 2 y 4 (2x 3 + y)
b. 7x 2 y 4 (x 3 + y 5 )
c. 14x 2 y 4 (2x 3 + y 2 )
d. 7x 2 y 4 (x 3 + y)
e. 2x 2 y 4 (7x 3 + y)
____ 15. Factor the polynomial.
a. (x - 3) (x - 6)
b. (x - 7) (x - 11)
c. (x + 3) (x + 6)
d. (x + 7) (x + 11)
e. (x + 3) (x - 6)
____ 16. Factor the polynomial :
16x 2 - 56x + 49
a. (4x - 7) 2
b. (6x + 7) 2
c. (7x - 4) 2
d. (4x - 7) (4x + 7)
____ 17. Factor the polynomial.
a. (4x 8 + 3y) (16x 4 - 12x 4 y + 9y 2 )
b. (4x 4 + 3y) (16x 8 - 24x 4 y + 9y 2 )
c. (4x 4 + 3y) (16x 8 - 12x 4 y + 9y 2 )
d. (4x 4 - 3y) (16x 8 + 12x 4 y + 9y 2 )
e. (4x 4 + 3y) (16x 8 + 24x 4 y - 9y 2 )
____ 18. Factor the polynomial.
a. (x - 1 + 6y) (x - 1 + 6y)
b. (x + 1 + 6y) (x + 1 - 6y)
c. (x + 1 + 6y) (x - 1 - 6y)
d. (x - 1 + 6y) (x + 1 - 6y)
e. (x + 1 - 6y) (x + 1 - 6y)
4
Chapter 1A
CHAPTER 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Rewrite the number without using the absolute value symbol, and simplify the result.
a. 29
b. -84
c. 4
d. –4
e. 84
____ 2. Rewrite the following expression without using the absolute value symbol, and simplify the result.
a.
b.
c.
d.
e.
____ 3. Replace the symbol "?" to make the resulting statement true for all real numbers : p, b, and c, whenever the
expressions are defined.
a.
b.
____ 4. Approximate the real-number expression to four decimal places :
a. 3.7500
b. 4.4261
c. 1.9261
d. 2.6761
e. 5.5572
____ 5. Express the number in decimal form.
a. 0.000011
1
,Test Bank For Algebra and Trigonometry with Analytic Geometry
Chapter 1A
b. 0.011
c. 0.0011
d. 0.11
e. 0.00011
____ 6. The population dynamics of many fish are characterized by extremely high fertility rates among adults and
very low survival rates among the young. A mature halibut may lay as many as 2.2 million eggs, but only
0.00036% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of
offspring that live to age 3.
a.
b.
c.
d.
e.
____ 7. The two given numbers are coordinates of points and , respectively, on a coordinate line. Express the
indicated statement as an inequality involving the absolute value symbol.
, is at least
a.
b.
c.
d.
e.
____ 8. Simplify the expression:
a.
b.
c.
d.
e.
____ 9. Simplify the expression.
2
,Test Bank For Algebra and Trigonometry with Analytic Geometry
Chapter 1A
a. 1
b.
c.
d.
e.
____ 10. Express as a polynomial.
a. 3x 6 - 7x 5 - 15x 4 + 21x 3 - 26x 2 + 45x - 105
b. 3x 6 - 7x 5 - 15x 4 + 44x 3 + 21x 2 + 45x - 105
c. 3x 6 - 7x 5 - 15x 4 + 26x 3 + 21x 2 + 45x - 105
d. 3x 4 - 7x 3 - 15x 5 + 44x 6 + 21x 2 + 45x - 105
e. 3x 4 - 7x 5 - 15x 3 + 3x 6 + 7x 2 + 45x - 105
____ 11. Express as a polynomial.
a. 81x 4 + 198x 2 y 2 + 121y 4
b. 121x 4 - 198x 2 y 2 + 81y 4
c. 121x 4 + 99x 2 y 2 + 81y 4
d. 81x 2 + 198x 4 y 4 + 121y 2
e. 81x 4 + 99x 2 y 2 + 121y 4
____ 12. Express as a polynomial.
a. 8x 3 + 28x 2 y + 294xy 2 + 196y 3
b. 8x 3 + 84x 2 y + 294xy 2 + 343y 3
c. 8x 3 + 28x 2 y + 98xy 2 + 343y 3
d. 8x 3 + 84x 2 y + 98xy 2 + 686y 3
e. 8x 3 + 294x 2 y + 84xy 2 + 343y 3
____ 13. Factor the polynomial.
a. m(k + t)
b. m(4k + t)
c. 4(k + mt)
3
, Test Bank For Algebra and Trigonometry with Analytic Geometry
Chapter 1A
d. m(k + 4t)
e. 4m(k + t)
____ 14. Factor the polynomial.
a. 7x 2 y 4 (2x 3 + y)
b. 7x 2 y 4 (x 3 + y 5 )
c. 14x 2 y 4 (2x 3 + y 2 )
d. 7x 2 y 4 (x 3 + y)
e. 2x 2 y 4 (7x 3 + y)
____ 15. Factor the polynomial.
a. (x - 3) (x - 6)
b. (x - 7) (x - 11)
c. (x + 3) (x + 6)
d. (x + 7) (x + 11)
e. (x + 3) (x - 6)
____ 16. Factor the polynomial :
16x 2 - 56x + 49
a. (4x - 7) 2
b. (6x + 7) 2
c. (7x - 4) 2
d. (4x - 7) (4x + 7)
____ 17. Factor the polynomial.
a. (4x 8 + 3y) (16x 4 - 12x 4 y + 9y 2 )
b. (4x 4 + 3y) (16x 8 - 24x 4 y + 9y 2 )
c. (4x 4 + 3y) (16x 8 - 12x 4 y + 9y 2 )
d. (4x 4 - 3y) (16x 8 + 12x 4 y + 9y 2 )
e. (4x 4 + 3y) (16x 8 + 24x 4 y - 9y 2 )
____ 18. Factor the polynomial.
a. (x - 1 + 6y) (x - 1 + 6y)
b. (x + 1 + 6y) (x + 1 - 6y)
c. (x + 1 + 6y) (x - 1 - 6y)
d. (x - 1 + 6y) (x + 1 - 6y)
e. (x + 1 - 6y) (x + 1 - 6y)
4