Question 1

Evaluate the polynomial.
-$5 x ^ { 3 } - 3 x ^ { 2 } - x + 10$, when $x = - 2$

Accepted Answer

A)  $- 22$ 
B)  $- 52$ 
C)  $- 50$ 
D)  $- 40$ 
A)  $- 22$ 
B)  $- 52$ 
C)  $- 50$ 
D)  $- 40$

Question 2

Simplify.
-$$- 3 \left( x ^ { - 3 } y ^ { - 1 } \right) ^ { - 4 }$$

Accepted Answer

A)  $\frac { x ^ { 12 } y ^ { 4 } } { ( - 3 ) ^ { 4 } }$ 
B)  $\frac { - 3 } { x ^ { 12 } y ^ { 4 } }$ 
C)  $- 3 x ^ { 12 } y ^ { 4 }$ 
D)  $( - 3 ) ^ { 4 } x ^ { 12 } y ^ { 4 }$ 
A)  $\frac { x ^ { 12 } y ^ { 4 } } { ( - 3 ) ^ { 4 } }$ 
B)  $\frac { - 3 } { x ^ { 12 } y ^ { 4 } }$ 
C)  $- 3 x ^ { 12 } y ^ { 4 }$ 
D)  $( - 3 ) ^ { 4 } x ^ { 12 } y ^ { 4 }$

Question 3

Simplify.
-$\left( - 2 a ^ { 6 } \right) ^ { 4 }$

Accepted Answer

A)  $( - 2 ) ^ { 24 } a ^ { 24 }$ 
B)  $( - 2 ) ^ { 24 } a ^ { 6 }$ 
C)  $- 8 a ^ { 6 }$ 
D)  $( - 2 ) ^ { 4 } a ^ { 24 }$ 
A)  $( - 2 ) ^ { 24 } a ^ { 24 }$ 
B)  $( - 2 ) ^ { 24 } a ^ { 6 }$ 
C)  $- 8 a ^ { 6 }$ 
D)  $( - 2 ) ^ { 4 } a ^ { 24 }$

Question 4

What is the meaning of the expression?
-$$15 ^ { 2 }$$

Accepted Answer

A) 15 ·15 
B) 17 
C) 2 ·15 
D) 450 
A) 15 ·15 
B) 17 
C) 2 ·15 
D) 450

Question 5

Simplify.
-$\left( \frac { x y ^ { 4 } } { w ^ { 6 } z } \right) ^ { - 6 }$

Accepted Answer

A)  $\frac { x y ^ { - 24 } } { w ^ { - 36 } z }$ 
B)  $\frac { x ^ { - 6 } y ^ { - 2 } } { w ^ { 0 } z ^ { - 6 } }$ 
C)  $\frac { x ^ { 6 } y ^ { - 24 } } { w ^ { - 36 } z ^ { 6 } }$ 
D)  $\frac { w ^ { 36 } z ^ { 6 } } { x ^ { 6 } y ^ { 24 } }$ 
A)  $\frac { x y ^ { - 24 } } { w ^ { - 36 } z }$ 
B)  $\frac { x ^ { - 6 } y ^ { - 2 } } { w ^ { 0 } z ^ { - 6 } }$ 
C)  $\frac { x ^ { 6 } y ^ { - 24 } } { w ^ { - 36 } z ^ { 6 } }$ 
D)  $\frac { w ^ { 36 } z ^ { 6 } } { x ^ { 6 } y ^ { 24 } }$

Question 6

Evaluate.
-$\mathrm { m } ^ { 2 }$ when $\mathrm { m } = 17$

Accepted Answer

A)  289 
B)  578 
C)  19 
D)  34 
A)  289 
B)  578 
C)  19 
D)  34

Question 7

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-If the distance from the earth to the sun were $82,000,000$ miles. How long would it take a rocket, traveling at $3.8$ $\times 10 ^ { 3 }$ miles per hour, to reach the sun? (Round to three places)

Accepted Answer

A)  $2.158 \mathrm { hr }$ 
B)  $2.158 \times 10 ^ { 4 } \mathrm { hr }$ 
C)  $2.158 \times 10 ^ { 3 } \mathrm { hr }$ 
D)  $2.158 \times 10 ^ { 2 } \mathrm { hr }$ 
A)  $2.158 \mathrm { hr }$ 
B)  $2.158 \times 10 ^ { 4 } \mathrm { hr }$ 
C)  $2.158 \times 10 ^ { 3 } \mathrm { hr }$ 
D)  $2.158 \times 10 ^ { 2 } \mathrm { hr }$

Evaluate the polynomial. - $5 x ^ { 3 } - 3 x ^ { 2 } - x + 10$ , when $x = - 2$

Simplify. - $- 3 \left( x ^ { - 3 } y ^ { - 1 } \right) ^ { - 4 }$

Simplify. - $\left( - 2 a ^ { 6 } \right) ^ { 4 }$

What is the meaning of the expression? - $15 ^ { 2 }$

Simplify. - $\left( \frac { x y ^ { 4 } } { w ^ { 6 } z } \right) ^ { - 6 }$

Evaluate. - $\mathrm { m } ^ { 2 }$ when $\mathrm { m } = 17$

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 the polynomial. - 5x3−3x2−x+105 x ^ { 3 } - 3 x ^ { 2 } - x + 105x3−3x2−x+10 , when x=−2x = - 2x=−2

Simplify. - −3(x−3y−1)−4- 3 \left( x ^ { - 3 } y ^ { - 1 } \right) ^ { - 4 }−3(x−3y−1)−4

Simplify. - (−2a6)4\left( - 2 a ^ { 6 } \right) ^ { 4 }(−2a6)4

What is the meaning of the expression? - 15215 ^ { 2 }152

Simplify. - (xy4w6z)−6\left( \frac { x y ^ { 4 } } { w ^ { 6 } z } \right) ^ { - 6 }(w6zxy4​)−6

Evaluate. - m2\mathrm { m } ^ { 2 }m2 when m=17\mathrm { m } = 17m=17