Question 1

Evaluate.
-$x ^ { 0 } ; x \neq 0$

Accepted Answer

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

Question 2

Divide and simplify.
-$\frac { y ^ { - 15 } } { y ^ { 4 } }$

Accepted Answer

A)  $\frac { 1 } { y ^ { - 11 } }$ 
B)  $\frac { 1 } { \mathrm { y } ^ { 19 } }$ 
C)  $\mathrm { y } ^ { 19 }$ 
D)  $\mathrm { y } ^ { 11 }$ 
A)  $\frac { 1 } { y ^ { - 11 } }$ 
B)  $\frac { 1 } { \mathrm { y } ^ { 19 } }$ 
C)  $\mathrm { y } ^ { 19 }$ 
D)  $\mathrm { y } ^ { 11 }$

Question 3

Evaluate the polynomial.
-$4 x ^ { 2 } + 6 x - 10$, when $x = 3$

Accepted Answer

A)  40 
B)  34 
C)  44 
D)  20 
A)  40 
B)  34 
C)  44 
D)  20

Question 4

Simplify.
-$$\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 5 }$$

Accepted Answer

A)  $\frac { 32 } { b ^ { 20 } }$ 
B)  $\frac { \mathrm { b } ^ { 20 } } { 32 }$ 
C)  $\frac { 1 } { 32 b ^ { 20 } }$ 
D)  $32 \mathrm {~b} ^ { 20 }$ 
A)  $\frac { 32 } { b ^ { 20 } }$ 
B)  $\frac { \mathrm { b } ^ { 20 } } { 32 }$ 
C)  $\frac { 1 } { 32 b ^ { 20 } }$ 
D)  $32 \mathrm {~b} ^ { 20 }$

Question 5

Express using positive exponents. Then simplify.
-$x ^ { - 8 }$

Accepted Answer

A)  $x ^ { 8 }$ 
B)  $\frac { 1 } { x ^ { 8 } }$ 
C)  $\frac { 1 } { x ^ { - 8 } }$ 
D)  $8 x$ 
A)  $x ^ { 8 }$ 
B)  $\frac { 1 } { x ^ { 8 } }$ 
C)  $\frac { 1 } { x ^ { - 8 } }$ 
D)  $8 x$

Question 6

Evaluate.
-$y ^ { 1 } - 3$, when $y = - 4$

Accepted Answer

A)  7 
B)  $- 7$ 
C)  $- 3$ 
D)  13 
A)  7 
B)  $- 7$ 
C)  $- 3$ 
D)  13

Question 7

Multiply and simplify.
-$( 8 x ) ^ { 12 } ( 8 x ) ^ { 8 }$

Accepted Answer

A)  $( 8 x ) ^ { 96 }$ 
B)  $8 x ^ { 96 }$ 
C)  $( 8 x ) ^ { 20 }$ 
D)  $8 \mathrm { x } ^ { 20 }$ 
A)  $( 8 x ) ^ { 96 }$ 
B)  $8 x ^ { 96 }$ 
C)  $( 8 x ) ^ { 20 }$ 
D)  $8 \mathrm { x } ^ { 20 }$

Question 8

Solve the problem.
-Participants in a memorization experiment were able to recall an average of $D$ digits in $t$ minutes, where $D = - 0.2 t ^ { 2 } + 9 t .$ Use the graph below to find the approximate value of $- 0.2 t ^ { 2 } + 9 t$ for $t = 2$.

Accepted Answer

A) 37 digits 
B) -3 digits 
C) 57 digits 
D) 17 digits 
A) 37 digits 
B) -3 digits 
C) 57 digits 
D) 17 digits

Question 9

Divide and simplify.
-$\frac { t ^ { 7 } } { t }$

Accepted Answer

A)  $t ^ { 7 }$ 
B)  $t ^ { 6 }$ 
C)  $\frac { 1 } { t ^ { 6 } }$ 
D)  $t$ 
A)  $t ^ { 7 }$ 
B)  $t ^ { 6 }$ 
C)  $\frac { 1 } { t ^ { 6 } }$ 
D)  $t$

Question 10

Multiply and simplify.
-$y ^ { 8 } \cdot y ^ { 0 }$

Accepted Answer

A)  $\mathrm { y } ^ { 8 }$ 
B)  1 
C)  $y ^ { 80 }$ 
D)  0 
A)  $\mathrm { y } ^ { 8 }$ 
B)  1 
C)  $y ^ { 80 }$ 
D)  0

Question 11

Evaluate.
-$$- 15^0$$

Accepted Answer

A) -1 
B) 0 
C) 1 
D) -15 
A) -1 
B) 0 
C) 1 
D) -15

Question 12

Multiply or divide and write scientific notation for the result.
-$\left( 2 \times 10 ^ { 9 } \right) \div 10 ^ { 4 }$

Accepted Answer

A)  $2 \times 10 ^ { 6 }$ 
B)  $2 \times 10 ^ { 13 }$ 
C)  $2 \times 10 ^ { 5 }$ 
A)  $2 \times 10 ^ { 6 }$ 
B)  $2 \times 10 ^ { 13 }$ 
C)  $2 \times 10 ^ { 5 }$

Question 13

Evaluate.
-$\mathrm { p } ^ { 3 }$, when $\mathrm { p } = 0$

Accepted Answer

A)  1 
B)  0 
C)  9 
D)  3 
A)  1 
B)  0 
C)  9 
D)  3

Question 14

Simplify.
-$\left( \frac { 4 } { x } \right) ^ { 4 }$

Accepted Answer

A)  $\frac { 256 } { x }$ 
B)  $256 \mathrm { x } ^ { 4 }$ 
C)  $\frac { 4 } { x ^ { 4 } }$ 
D)  $\frac { 256 } { x ^ { 4 } }$ 
A)  $\frac { 256 } { x }$ 
B)  $256 \mathrm { x } ^ { 4 }$ 
C)  $\frac { 4 } { x ^ { 4 } }$ 
D)  $\frac { 256 } { x ^ { 4 } }$

Question 15

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$- 12 x$

Accepted Answer

A)  Monomial, degree - 12 
B)  Monomial, degree 0 
C)  Monomial, degree 1 
D)  Binomial, degree 0 
A)  Monomial, degree - 12 
B)  Monomial, degree 0 
C)  Monomial, degree 1 
D)  Binomial, degree 0

Question 16

Multiply or divide and write scientific notation for the result.
-$\left( 7.08 \times 10 ^ { - 5 } \right) \left( 8.45 \times 10 ^ { - 3 } \right)$

Accepted Answer

A)  $6.0 \times 10 ^ { 15 }$ 
B)  $5.98 \times 10 ^ { - 7 }$ 
C)  $5.98 \times 10 ^ { 15 }$ 
D)  $6.0 \times 10 ^ { - 7 }$ 
A)  $6.0 \times 10 ^ { 15 }$ 
B)  $5.98 \times 10 ^ { - 7 }$ 
C)  $5.98 \times 10 ^ { 15 }$ 
D)  $6.0 \times 10 ^ { - 7 }$

Question 17

Solve the problem.
-The average weight $W$ (in ounces) of a fish caught in a certain lake is given by $W = 0.001 x ^ { 3 } + 0.03 x ^ { 2 } + 1.1$, where $x$ is the length in inches. Use the graph below to estimate the weight of a fish from the lake that is 14 inches long.

Accepted Answer

A) 13 ounces 
B) 11 ounces 
C) 9 ounces 
D) 7 ounces 
A) 13 ounces 
B) 11 ounces 
C) 9 ounces 
D) 7 ounces

Question 18

Express using positive exponents. Then simplify.
-$( - 5 ) ^ { - 2 }$

Accepted Answer

A)  25 
B)  $\frac { 1 } { 25 }$ 
C)  $- 25$ 
D)  $- \frac { 1 } { 25 }$ 
A)  25 
B)  $\frac { 1 } { 25 }$ 
C)  $- 25$ 
D)  $- \frac { 1 } { 25 }$

Question 19

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-The national debt of a country is $68,760,000,000 and the population is 7,640,000. What is the debt per person? Write answer without exponents.

Accepted Answer

A) $525,326,400 
B) $90,000 
C) $9000 
D) $900 
A) $525,326,400 
B) $90,000 
C) $9000 
D) $900

Question 20

Identify the coefficient of each term of the polynomial.
-$- 6 h - 4 m$

Accepted Answer

A)  $- 6$ and 4 
B)  6 and $- 4$ 
C)  $- 6$ and $- 4$ 
D)  6 and 4 
A)  $- 6$ and 4 
B)  6 and $- 4$ 
C)  $- 6$ and $- 4$ 
D)  6 and 4

Evaluate. - $x ^ { 0 } ; x \neq 0$

Divide and simplify. - $\frac { y ^ { - 15 } } { y ^ { 4 } }$

Evaluate the polynomial. - $4 x ^ { 2 } + 6 x - 10$ , when $x = 3$

Simplify. - $\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 5 }$

Express using positive exponents. Then simplify. - $x ^ { - 8 }$

Evaluate. - $y ^ { 1 } - 3$ , when $y = - 4$

Multiply and simplify. - $( 8 x ) ^ { 12 } ( 8 x ) ^ { 8 }$

Divide and simplify. - $\frac { t ^ { 7 } } { t }$

Multiply and simplify. - $y ^ { 8 } \cdot y ^ { 0 }$

Evaluate. - $- 15^0$

Multiply or divide and write scientific notation for the result. - $\left( 2 \times 10 ^ { 9 } \right) \div 10 ^ { 4 }$

Evaluate. - $\mathrm { p } ^ { 3 }$ , when $\mathrm { p } = 0$

Simplify. - $\left( \frac { 4 } { x } \right) ^ { 4 }$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $- 12 x$

Multiply or divide and write scientific notation for the result. - $\left( 7.08 \times 10 ^ { - 5 } \right) \left( 8.45 \times 10 ^ { - 3 } \right)$

Express using positive exponents. Then simplify. - $( - 5 ) ^ { - 2 }$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a country is $68,760,000,000 and the population is 7,640,000. What is the debt per person? Write answer without exponents.

Identify the coefficient of each term of the polynomial. - $- 6 h - 4 m$

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

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Exam 4: Polynomials: Operations

Evaluate. - x0;x≠0x ^ { 0 } ; x \neq 0x0;x=0

Divide and simplify. - y−15y4\frac { y ^ { - 15 } } { y ^ { 4 } }y4y−15​

Evaluate the polynomial. - 4x2+6x−104 x ^ { 2 } + 6 x - 104x2+6x−10 , when x=3x = 3x=3

Simplify. - (2b−4)5\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 5 }(b−42​)5

Express using positive exponents. Then simplify. - x−8x ^ { - 8 }x−8

Evaluate. - y1−3y ^ { 1 } - 3y1−3 , when y=−4y = - 4y=−4

Multiply and simplify. - (8x)12(8x)8( 8 x ) ^ { 12 } ( 8 x ) ^ { 8 }(8x)12(8x)8

Solve the problem. -Participants in a memorization experiment were able to recall an average of DDD digits in ttt minutes, where D=−0.2t2+9t.D = - 0.2 t ^ { 2 } + 9 t .D=−0.2t2+9t. Use the graph below to find the approximate value of −0.2t2+9t- 0.2 t ^ { 2 } + 9 t−0.2t2+9t for t=2t = 2t=2 .

Divide and simplify. - t7t\frac { t ^ { 7 } } { t }tt7​

Multiply and simplify. - y8⋅y0y ^ { 8 } \cdot y ^ { 0 }y8⋅y0

Evaluate. - −150- 15^0−150

Multiply or divide and write scientific notation for the result. - (2×109)÷104\left( 2 \times 10 ^ { 9 } \right) \div 10 ^ { 4 }(2×109)÷104

Evaluate. - p3\mathrm { p } ^ { 3 }p3 , when p=0\mathrm { p } = 0p=0

Simplify. - (4x)4\left( \frac { 4 } { x } \right) ^ { 4 }(x4​)4

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - −12x- 12 x−12x

Multiply or divide and write scientific notation for the result. - (7.08×10−5)(8.45×10−3)\left( 7.08 \times 10 ^ { - 5 } \right) \left( 8.45 \times 10 ^ { - 3 } \right)(7.08×10−5)(8.45×10−3)

Express using positive exponents. Then simplify. - (−5)−2( - 5 ) ^ { - 2 }(−5)−2