Question 1

Write the number in scientific notation.
-453.29

Accepted Answer

A)  $4.5329 \times 10 ^ { - 2 }$ 
B)  $4.5329 \times 10 ^ { - 3 }$ 
C)  $4.5329 \times 10 ^ { 2 }$ 
D)  $4.5329 \times 10 ^ { 3 }$ 
A)  $4.5329 \times 10 ^ { - 2 }$ 
B)  $4.5329 \times 10 ^ { - 3 }$ 
C)  $4.5329 \times 10 ^ { 2 }$ 
D)  $4.5329 \times 10 ^ { 3 }$

Question 2

Solve the problem.
-Participants in a memorization experiment were able to recall an average of $D$ digits in $t$ minutes, where $\mathrm { D } = - 0.4 \mathrm { t } ^ { 2 } + 9 \mathrm { t }$. Use the graph below to estimate the number of digits recalled after 5 minutes.

Accepted Answer

A) 75 digits 
B) 35 digits 
C) 15 digits 
D) 55 digits 
A) 75 digits 
B) 35 digits 
C) 15 digits 
D) 55 digits

Question 3

What is the meaning of the expression?
-$2 x ^ { 3 }$

Accepted Answer

A)  $2 x \cdot 2 x \cdot 2 x$ 
B)  $2 \cdot \mathrm { x } \cdot 3$ 
C)  $2 \cdot x \cdot x \cdot x$ 
D)  $2 \cdot 2 \cdot 2 \cdot \mathrm { x }$ 
A)  $2 x \cdot 2 x \cdot 2 x$ 
B)  $2 \cdot \mathrm { x } \cdot 3$ 
C)  $2 \cdot x \cdot x \cdot x$ 
D)  $2 \cdot 2 \cdot 2 \cdot \mathrm { x }$

Question 4

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-The national debt of a small country is $7,870,000,000 and the population is 2,747,000. What is the amount of debt per person?

Accepted Answer

A)  $\$ 2.86 \times 10 ^ { 6 }$ 
B)  $\$ 2.86 \times 10 ^ { 3 }$ 
C)  $\$ 28.60$ 
D)  $\$ 2.86$ 
A)  $\$ 2.86 \times 10 ^ { 6 }$ 
B)  $\$ 2.86 \times 10 ^ { 3 }$ 
C)  $\$ 28.60$ 
D)  $\$ 2.86$

Question 5

Identify the coefficient of each term of the polynomial.
-$7 b - 3 x - z$

Accepted Answer

A)  $7,3,1$ 
B)  7 and $- 3$ 
C)  $7 , - 3,1$ 
D)  $7 , - 3 , - 1$ 
A)  $7,3,1$ 
B)  7 and $- 3$ 
C)  $7 , - 3,1$ 
D)  $7 , - 3 , - 1$

Question 6

Express using positive exponents. Then simplify.
-$\frac { 1 } { x ^ { - m } }$

Accepted Answer

A)  $x ^ { m }$ 
B)  $m x$ 
C)  $\frac { 1 } { \mathrm { xm } }$ 
D)  $x ^ { - m }$ 
A)  $x ^ { m }$ 
B)  $m x$ 
C)  $\frac { 1 } { \mathrm { xm } }$ 
D)  $x ^ { - m }$

Question 7

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation.
-The earth is approximately 92,900,000 miles from the sun.

Accepted Answer

A)  $9.29 \times 10 ^ { 8 }$ 
B)  $9.29 \times 10 ^ { 6 }$ 
C)  $9.29 \times 10 ^ { - 7 }$ 
D)  $9.29 \times 10 ^ { 7 }$ 
A)  $9.29 \times 10 ^ { 8 }$ 
B)  $9.29 \times 10 ^ { 6 }$ 
C)  $9.29 \times 10 ^ { - 7 }$ 
D)  $9.29 \times 10 ^ { 7 }$

Question 8

Evaluate the polynomial.
-$3 x ^ { 3 } + 3 x ^ { 2 } - x + 32$, when $x = 0$

Accepted Answer

A)  $- 29$ 
B)  $- 19$ 
C)  32 
D)  0 
A)  $- 29$ 
B)  $- 19$ 
C)  32 
D)  0

Question 9

Write the number in scientific notation.
-0.000030116

Accepted Answer

A)  $3.0116 \times 10 ^ { 4 }$ 
B)  $3.0116 \times 10 ^ { - 4 }$ 
C)  $3.0116 \times 10 ^ { - 5 }$ 
D)  $3.0116 \times 10 ^ { 5 }$ 
A)  $3.0116 \times 10 ^ { 4 }$ 
B)  $3.0116 \times 10 ^ { - 4 }$ 
C)  $3.0116 \times 10 ^ { - 5 }$ 
D)  $3.0116 \times 10 ^ { 5 }$

Question 10

Divide and simplify.
-$\frac { x } { x ^{12} }$

Accepted Answer

A)  $\frac { 1 } { x ^ { 12 } }$ 
B)  $x ^ { 12 }$ 
C)  $\frac { 1 } { x ^ { 11 } }$ 
D)  $x ^ { 11 }$ 
A)  $\frac { 1 } { x ^ { 12 } }$ 
B)  $x ^ { 12 }$ 
C)  $\frac { 1 } { x ^ { 11 } }$ 
D)  $x ^ { 11 }$

Question 11

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$$6 y ^ { 5 } + 2 y ^ { 4 } + 2$$

Accepted Answer

A)  Trinomial, degree 9 
B)  Trinomial, degree 10 
C)  Binomial, degree 5 
D)  Trinomial, degree 5 
A)  Trinomial, degree 9 
B)  Trinomial, degree 10 
C)  Binomial, degree 5 
D)  Trinomial, degree 5

Question 12

Evaluate the polynomial.
-$9 x ^ { 2 } + 6 x - 7$, when $x = 0$

Accepted Answer

A)  $- 7$ 
B)  0 
C)  6 
D)  9 
A)  $- 7$ 
B)  0 
C)  6 
D)  9

Question 13

Solve the problem.
-The distance $D$, in feet, it takes a car travelling at $x$ mph to come to a full stop after hitting the brakes is given by $\mathrm { D } = 1.24 \mathrm { x } ^ { 2 } + 0.067 \mathrm { x }$. What is the stopping distance for a car travelling at $50 \mathrm { mph }$ ?

Accepted Answer

A)  $186 \mathrm { ft }$ 
B)  $3100 \mathrm { ft }$ 
C)  $124 \mathrm { ft }$ 
D)  $3103.35 \mathrm { ft }$ 
A)  $186 \mathrm { ft }$ 
B)  $3100 \mathrm { ft }$ 
C)  $124 \mathrm { ft }$ 
D)  $3103.35 \mathrm { ft }$

Question 14

Evaluate.
-$y ^ { 18 }$ when $y = 1$

Accepted Answer

A)  18 
B)  0 
C)  1 
D)  $- 1$ 
A)  18 
B)  0 
C)  1 
D)  $- 1$

Question 15

Identify the coefficient of each term of the polynomial.
-$- 6 a$

Accepted Answer

A)  -6a 
B)  $- 6$ 
C)  $6 a$ 
D)  6 
A)  -6a 
B)  $- 6$ 
C)  $6 a$ 
D)  6

Question 16

Simplify.
-$$\left( \frac { x ^ { 3 } y } { z ^ { 5 } } \right) ^ { 3 }$$

Accepted Answer

A)  $\frac { x ^ { 9 } y ^ { 3 } } { z ^ { 5 } }$ 
B)  $\frac { x ^ { 9 } y ^ { 3 } } { z ^ { 15 } }$ 
C)  $\frac { x ^ { 3 } y ^ { 9 } } { z ^ { 15 } }$ 
D)  $\frac { x ^ { 6 } y ^ { 3 } } { z ^ { 8 } }$ 
A)  $\frac { x ^ { 9 } y ^ { 3 } } { z ^ { 5 } }$ 
B)  $\frac { x ^ { 9 } y ^ { 3 } } { z ^ { 15 } }$ 
C)  $\frac { x ^ { 3 } y ^ { 9 } } { z ^ { 15 } }$ 
D)  $\frac { x ^ { 6 } y ^ { 3 } } { z ^ { 8 } }$

Question 17

Evaluate.
-$\mathrm { cd } ^ { 0 }$

Accepted Answer

A)  $\mathrm { d }$ 
B)  1 
C)  $\mathrm { cd }$ 
D)  $\mathrm { c }$ 
A)  $\mathrm { d }$ 
B)  1 
C)  $\mathrm { cd }$ 
D)  $\mathrm { c }$

Question 18

Identify the coefficient of each term of the polynomial.
-$9 b - 7 m - s$

Accepted Answer

A)  $9,7 , - 1$ 
B)  $9 , - 7,1$ 
C)  $- 9 , - 7 , - 1$ 
D)  $- 9,7,1$ 
A)  $9,7 , - 1$ 
B)  $9 , - 7,1$ 
C)  $- 9 , - 7 , - 1$ 
D)  $- 9,7,1$

Question 19

Simplify.
-$\left( \frac { b ^ { 6 } } { 5 } \right) ^ { - 2 }$

Accepted Answer

A)  $\frac { b ^ { - 12 } } { 5 }$ 
B)  $\frac { 25 } { b ^ { 12 } }$ 
C)  $\frac { b ^ { 12 } } { 5 ^ { 2 } }$ 
D)  $\frac { b ^ { - 8 } } { 5 ^ { - 2 } }$ 
A)  $\frac { b ^ { - 12 } } { 5 }$ 
B)  $\frac { 25 } { b ^ { 12 } }$ 
C)  $\frac { b ^ { 12 } } { 5 ^ { 2 } }$ 
D)  $\frac { b ^ { - 8 } } { 5 ^ { - 2 } }$

Question 20

Convert to decimal notation.
-6.35 × 10-4

Accepted Answer

A) 0.00635 
B) 0.0000635 
C) 0.000635 
D) -635,000 
A) 0.00635 
B) 0.0000635 
C) 0.000635 
D) -635,000

Write the number in scientific notation. -453.29

What is the meaning of the expression? - $2 x ^ { 3 }$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a small country is $7,870,000,000 and the population is 2,747,000. What is the amount of debt per person?

Identify the coefficient of each term of the polynomial. - $7 b - 3 x - z$

Express using positive exponents. Then simplify. - $\frac { 1 } { x ^ { - m } }$

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The earth is approximately 92,900,000 miles from the sun.

Evaluate the polynomial. - $3 x ^ { 3 } + 3 x ^ { 2 } - x + 32$ , when $x = 0$

Write the number in scientific notation. -0.000030116

Divide and simplify. - $\frac { x } { x ^{12} }$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $6 y ^ { 5 } + 2 y ^ { 4 } + 2$

Evaluate the polynomial. - $9 x ^ { 2 } + 6 x - 7$ , when $x = 0$

Solve the problem. -The distance $D$ , in feet, it takes a car travelling at $x$ mph to come to a full stop after hitting the brakes is given by $\mathrm { D } = 1.24 \mathrm { x } ^ { 2 } + 0.067 \mathrm { x }$ . What is the stopping distance for a car travelling at $50 \mathrm { mph }$ ?

Evaluate. - $y ^ { 18 }$ when $y = 1$

Identify the coefficient of each term of the polynomial. - $- 6 a$

Simplify. - $\left( \frac { x ^ { 3 } y } { z ^ { 5 } } \right) ^ { 3 }$

Evaluate. - $\mathrm { cd } ^ { 0 }$

Identify the coefficient of each term of the polynomial. - $9 b - 7 m - s$

Simplify. - $\left( \frac { b ^ { 6 } } { 5 } \right) ^ { - 2 }$

Convert to decimal notation. -6.35 × 10-4

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

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Radical Expressions, Equations, and Functions

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Exam 4: Polynomials: Operations

Write the number in scientific notation. -453.29

Solve the problem. -Participants in a memorization experiment were able to recall an average of DDD digits in ttt minutes, where D=−0.4t2+9t\mathrm { D } = - 0.4 \mathrm { t } ^ { 2 } + 9 \mathrm { t }D=−0.4t2+9t . Use the graph below to estimate the number of digits recalled after 5 minutes.

What is the meaning of the expression? - 2x32 x ^ { 3 }2x3