Question 1

Evaluate.
-$( 8 x ) ^ { 0 } ; x \neq 0$

Accepted Answer

A)  0 
B)  $8 x$ 
C)  8 
D)  1 
A)  0 
B)  $8 x$ 
C)  8 
D)  1 D

Question 2

Express using positive exponents. Then simplify.
-$2 ^ { - 3 }$

Accepted Answer

A)  8 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $- 8$ 
A)  8 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $- 8$ B

Question 3

Multiply or divide and write scientific notation for the result.
-$$\left( 5 \times 10 ^ { 7 } \right) \left( 8 \times 10 ^ { 7 } \right)$$

Accepted Answer

A)  $4 \times 10 ^ { 14 }$ 
B)  $4 \times 10 ^ { 15 }$ 
C)  $40 \times 10 ^ { 15 }$ 
D)  $40 \times 10 ^ { 49 }$ 
A)  $4 \times 10 ^ { 14 }$ 
B)  $4 \times 10 ^ { 15 }$ 
C)  $40 \times 10 ^ { 15 }$ 
D)  $40 \times 10 ^ { 49 }$ B

Question 4

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$2 x ^ { 2 }$

Accepted Answer

A)  Binomial, degree $- 2$ 
B)  Monomial, degree 2 
C)  Binomial, degree 0 
D)  Monomial, degree $- 2$ 
A)  Binomial, degree $- 2$ 
B)  Monomial, degree 2 
C)  Binomial, degree 0 
D)  Monomial, degree $- 2$

Question 5

Evaluate.
-$x y ^ { 1 }$

Accepted Answer

A)  $y$ 
B)  $x$ 
C)  1 
D)  $x y$ 
A)  $y$ 
B)  $x$ 
C)  1 
D)  $x y$

Question 6

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 population of a small country is 6,344,000 .

Accepted Answer

A)  $6.344 \times 10 ^ { 5 }$ 
B)  $6.344 \times 10 ^ { - 5 }$ 
C)  $6.344 \times 10 ^ { 4 }$ 
D)  $6.344 \times 10 ^ { 6 }$ 
A)  $6.344 \times 10 ^ { 5 }$ 
B)  $6.344 \times 10 ^ { - 5 }$ 
C)  $6.344 \times 10 ^ { 4 }$ 
D)  $6.344 \times 10 ^ { 6 }$

Question 7

Evaluate.
-$- \mathrm { p } ^ { 3 }$, when $\mathrm { p } = 6$

Accepted Answer

A)  216 
B)  $- 216$ 
C)  18 
D)  4 
A)  216 
B)  $- 216$ 
C)  18 
D)  4

Question 8

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$19 c ^ { 6 } - 8 c ^ { 5 } - 7 c ^ { 4 }$

Accepted Answer

A)  Binomial, degree 5 
B)  Trinomial, degree 15 
C)  Trinomial, degree 6 
D)  Binomial, degree 15 
A)  Binomial, degree 5 
B)  Trinomial, degree 15 
C)  Trinomial, degree 6 
D)  Binomial, degree 15

Question 9

Evaluate.
-$\left( - \frac { 2 } { 5 } \right) ^ { 0 }$

Accepted Answer

A)  $\frac { 2 } { 5 }$ 
B)  0 
C)  1 
D)  $- 1$ 
A)  $\frac { 2 } { 5 }$ 
B)  0 
C)  1 
D)  $- 1$

Question 10

Convert to decimal notation.
-$4.3872 \times 10 ^ { 7 }$

Accepted Answer

A)  $43,872,000$ 
B)  $438,720,000$ 
C)  $307.104$ 
D)  $4,387,200$ 
A)  $43,872,000$ 
B)  $438,720,000$ 
C)  $307.104$ 
D)  $4,387,200$

Question 11

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.
-A company produces 916,000 small appliances in one year.

Accepted Answer

A)  $9.16 \times 10 ^ { 5 }$ 
B)  $9.16 \times 10 ^ { - 5 }$ 
C)  $9.16 \times 10 ^ { 6 }$ 
D)  $91.6 \times 10 ^ { 4 }$ 
A)  $9.16 \times 10 ^ { 5 }$ 
B)  $9.16 \times 10 ^ { - 5 }$ 
C)  $9.16 \times 10 ^ { 6 }$ 
D)  $91.6 \times 10 ^ { 4 }$

Question 12

Express the following using negative exponents.
-$\frac { 1 } { 3 ^ { 8 } }$

Accepted Answer

A)  $3 ^ { 8 }$ 
B)  $3 ^ { - 9 }$ 
C)  $3 ^ { - 8 }$ 
D)  $8 ^ { - 3 }$ 
A)  $3 ^ { 8 }$ 
B)  $3 ^ { - 9 }$ 
C)  $3 ^ { - 8 }$ 
D)  $8 ^ { - 3 }$

Question 13

Evaluate.
-$$a ^ { 1 }$$

Accepted Answer

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

Question 14

Evaluate.
-$\mathrm { m } ^ { 5 }$ when $\mathrm { m } = 4$

Accepted Answer

A)  4 
B)  1024 
C)  45 
D)  20 
A)  4 
B)  1024 
C)  45 
D)  20

Question 15

Evaluate.
-$x ^ { 1 }$, when $x = 14$

Accepted Answer

A)  14 
B)  16 
C)  392 
D)  28 
A)  14 
B)  16 
C)  392 
D)  28

Question 16

Solve the problem.
-The height $\mathrm { H }$ (in feet) of a ball thrown into the air from the top of a building after $t$ seconds is given by $H = - 16 t ^ { 2 } + 62 t + 209$. Use the graph below to estimate the height of the ball after $2.5$ seconds.

Accepted Answer

A) 220 feet 
B) 300 feet 
C) 260 feet 
D) 360 feet 
A) 220 feet 
B) 300 feet 
C) 260 feet 
D) 360 feet

Question 17

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-A company produced 2,580,000 small appliances in one year and made a profit of $7,530,000. What was the profit on each appliance?

Accepted Answer

A)  $\$ 29.20$ 
B)  $\$ 2.92 \times 10 ^ { 3 }$ 
C)  $\$ 2.92$ 
D)  $\$ 2.92 \times 10 ^ { 6 }$ 
A)  $\$ 29.20$ 
B)  $\$ 2.92 \times 10 ^ { 3 }$ 
C)  $\$ 2.92$ 
D)  $\$ 2.92 \times 10 ^ { 6 }$

Question 18

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

Accepted Answer

A)  $\frac { 625 a ^ { 4 } } { 2 }$ 
B)  $\frac { 625 a } { 16 }$ 
C)  $\frac { 5 a ^ { 4 } } { 16 }$ 
D)  $\frac { 625 a ^ { 4 } } { 16 }$ 
A)  $\frac { 625 a ^ { 4 } } { 2 }$ 
B)  $\frac { 625 a } { 16 }$ 
C)  $\frac { 5 a ^ { 4 } } { 16 }$ 
D)  $\frac { 625 a ^ { 4 } } { 16 }$

Question 19

Convert to decimal notation.
-$7.687 \times 10 ^ { 5 }$

Accepted Answer

A)  76,870 
B)  768,700 
C)  $7,687,000$ 
D)  $384.35$ 
A)  76,870 
B)  768,700 
C)  $7,687,000$ 
D)  $384.35$

Question 20

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.
-A computer can do one calculation in $1.4 \times 10 ^ { - 7 }$ seconds.

Accepted Answer

A)  $14,000,000$ 
B)  $0.00000014$ 
C)  $0.000000014$ 
D)  $0.000014$ 
A)  $14,000,000$ 
B)  $0.00000014$ 
C)  $0.000000014$ 
D)  $0.000014$

Evaluate. - $( 8 x ) ^ { 0 } ; x \neq 0$

Express using positive exponents. Then simplify. - $2 ^ { - 3 }$

Multiply or divide and write scientific notation for the result. - $\left( 5 \times 10 ^ { 7 } \right) \left( 8 \times 10 ^ { 7 } \right)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $2 x ^ { 2 }$

Evaluate. - $x y ^ { 1 }$

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 population of a small country is 6,344,000 .

Evaluate. - $- \mathrm { p } ^ { 3 }$ , when $\mathrm { p } = 6$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $19 c ^ { 6 } - 8 c ^ { 5 } - 7 c ^ { 4 }$

Evaluate. - $\left( - \frac { 2 } { 5 } \right) ^ { 0 }$

Convert to decimal notation. - $4.3872 \times 10 ^ { 7 }$

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. -A company produces 916,000 small appliances in one year.

Express the following using negative exponents. - $\frac { 1 } { 3 ^ { 8 } }$

Evaluate. - $a ^ { 1 }$

Evaluate. - $\mathrm { m } ^ { 5 }$ when $\mathrm { m } = 4$

Evaluate. - $x ^ { 1 }$ , when $x = 14$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -A company produced 2,580,000 small appliances in one year and made a profit of $7,530,000. What was the profit on each appliance?

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

Convert to decimal notation. - $7.687 \times 10 ^ { 5 }$

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. -A computer can do one calculation in $1.4 \times 10 ^ { - 7 }$ seconds.

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. - (8x)0;x≠0( 8 x ) ^ { 0 } ; x \neq 0(8x)0;x=0

Express using positive exponents. Then simplify. - 2−32 ^ { - 3 }2−3

Multiply or divide and write scientific notation for the result. - (5×107)(8×107)\left( 5 \times 10 ^ { 7 } \right) \left( 8 \times 10 ^ { 7 } \right)(5×107)(8×107)

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - 2x22 x ^ { 2 }2x2

Evaluate. - xy1x y ^ { 1 }xy1