Question 1

Evaluate the polynomial.
-$3 x+2$, when $x=4$

Accepted Answer

A)  5 
B)  24 
C)  10 
D)  14 
A)  5 
B)  24 
C)  10 
D)  14

Question 2

Divide
-$\frac{5 x^{4}+3 x^{3}+6 x^{2}}{x^{2}}$

Accepted Answer

A)  $5 x^{4}+3 x^{3}+6$ 
B)  $\frac{5}{2} x^{4}+\frac{3}{2} x^{3}+3$ 
C)  $5 x^{4}+3 x+6 x^{2}$ 
D)  $5 x^{2}+3 x+6$ 
A)  $5 x^{4}+3 x^{3}+6$ 
B)  $\frac{5}{2} x^{4}+\frac{3}{2} x^{3}+3$ 
C)  $5 x^{4}+3 x+6 x^{2}$ 
D)  $5 x^{2}+3 x+6$

Question 3

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

Accepted Answer

A)  26 
B)  -24 
C)  -14 
D)  -18 
A)  26 
B)  -24 
C)  -14 
D)  -18

Question 4

Draw and label rectangles to illustrate the given product.
-$(2 x+5)(2 x+5)$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Perform the division.
-$\left(x^{2}-25\right) \div(x-5)$

Accepted Answer

A)  $x^{2}-5$ 
B)  $x-25$ 
C)  $x+5$ 
D)  $x+25$ 
A)  $x^{2}-5$ 
B)  $x-25$ 
C)  $x+5$ 
D)  $x+25$

Question 6

Write the word or phrase that best completes each statement or answers the question.
-When is the square of the sum the sum of a square; i.e., when is $(A+B)^{2}=A^{2}+B^{2}$ ?

Accepted Answer

Now (A + B)² = A² + 2AB + B², so

Question 7

Solve the problem.
-Find a polynomial for the the shaded areas of the figure.

Accepted Answer

A)  (? - 4)r2  
B)  (4 - ?)r2  
C)  (? - 1)r2  
D)  ?r2  
A)  (? - 4)r2  
B)  (4 - ?)r2  
C)  (? - 1)r2  
D)  ?r2

Question 8

Divide
-$\frac{36 x^{2}+24 x-5}{4}$

Accepted Answer

A)  $9 x^{2}+24 x-5$ 
B)  $9 x^{2}+6 x-\frac{5}{4}$ 
C)  $36 x^{2}+24 x-5$ 
D)  $9 x+6-\frac{5}{4}$ 
A)  $9 x^{2}+24 x-5$ 
B)  $9 x^{2}+6 x-\frac{5}{4}$ 
C)  $36 x^{2}+24 x-5$ 
D)  $9 x+6-\frac{5}{4}$

Question 9

Simplify.
-$\left(\frac{x^{5} y}{z^{4}}\right)^{4}$

Accepted Answer

A)  $\frac{x^{20} y^{4}}{z^{16}}$ 
B)  $\frac{x^{4} y^{20}}{z^{16}}$ 
C)  $\frac{x^{20} y^{4}}{z^{4}}$ 
D)  $\frac{x^{9} y^{4}}{z^{8}}$ 
A)  $\frac{x^{20} y^{4}}{z^{16}}$ 
B)  $\frac{x^{4} y^{20}}{z^{16}}$ 
C)  $\frac{x^{20} y^{4}}{z^{4}}$ 
D)  $\frac{x^{9} y^{4}}{z^{8}}$

Question 10

Perform the division.
-$\frac{x^{3}+64}{x+4}$

Accepted Answer

A)  $x^{2}-8 x+16$ 
B)  $x^{2}+4 x+16$ 
C)  $x^{2}-4 x+16$ 
D)  $x^{2}-4 x-16$ 
A)  $x^{2}-8 x+16$ 
B)  $x^{2}+4 x+16$ 
C)  $x^{2}-4 x+16$ 
D)  $x^{2}-4 x-16$

Question 11

Simplify.
-$-(3 x-8)$

Accepted Answer

A)  $3 x-8$ 
B)  $-3 x-8$ 
C)  $3 x+8$ 
D)  $-3 x+8$ 
A)  $3 x-8$ 
B)  $-3 x-8$ 
C)  $3 x+8$ 
D)  $-3 x+8$

Question 12

Multiply mentally
-$\left(-\mathrm{a}^{2}-13\right)^{2}$

Accepted Answer

A)  $-a^{4}+26 a^{2}+169$ 
B)  $a^{4}-26 a^{2}+169$ 
C)  $a^{4}+26 a^{2}+169$ 
D)  $a^{4}+169$ 
A)  $-a^{4}+26 a^{2}+169$ 
B)  $a^{4}-26 a^{2}+169$ 
C)  $a^{4}+26 a^{2}+169$ 
D)  $a^{4}+169$

Question 13

Evaluate.
-$\left(-\frac{3}{5}\right)^{0}$

Accepted Answer

A)  1 
B)  0 
C)  -1 
D)  $\frac{3}{5}$ 
A)  1 
B)  0 
C)  -1 
D)  $\frac{3}{5}$

Question 14

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$-7 x^{4}-6 w^{3}+8 w-3 w^{5}+3$

Accepted Answer

A)  Trinomial, degree 13 
B)  Trinomial, degree 5 
C)  None, degree 5 
D)  Binomial, degree 14 
A)  Trinomial, degree 13 
B)  Trinomial, degree 5 
C)  None, degree 5 
D)  Binomial, degree 14

Question 15

Write the word or phrase that best completes each statement or answers the question.
-Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Accepted Answer

(2x)⁰ = 1, because the exponent

Question 16

Evaluate.
-$7.17^{1}$

Accepted Answer

A)  51.41 
B)  1 
C)  7.17 
D)  0 
A)  51.41 
B)  1 
C)  7.17 
D)  0

Question 17

What is the meaning of the expression?
-$4 x^{3}$

Accepted Answer

A)  $4 \cdot x \cdot x \cdot x$ 
B)  $4 \cdot 4 \cdot 4 \cdot x$ 
C)  $4 x \cdot 4 x \cdot 4 x$ 
D)  $4 \cdot x \cdot 3$ 
A)  $4 \cdot x \cdot x \cdot x$ 
B)  $4 \cdot 4 \cdot 4 \cdot x$ 
C)  $4 x \cdot 4 x \cdot 4 x$ 
D)  $4 \cdot x \cdot 3$

Question 18

Evaluate the polynomial.
-$2 x^{2}-y^{2}+2 x y$ for $x=-2$ and $y=-6$

Accepted Answer

A)  -68 
B)  -4 
C)  -52 
D)  68 
A)  -68 
B)  -4 
C)  -52 
D)  68

Question 19

Evaluate the polynomial.
-$-29-2 x^{2}-4 x^{3}$, when $x=-2$

Accepted Answer

A)  -5 
B)  -17 
C)  7 
D)  -15 
A)  -5 
B)  -17 
C)  7 
D)  -15

Question 20

Multiply or divide and write scientific notation for the result.
-$\left(4 \times 10^{8}\right)\left(7 \times 10^{8}\right)$

Accepted Answer

A)  $28 \times 10^{64}$ 
B)  $2.8 \times 10^{16}$ 
C)  $28 \times 10^{17}$ 
D)  $2.8 \times 10^{17}$ 
A)  $28 \times 10^{64}$ 
B)  $2.8 \times 10^{16}$ 
C)  $28 \times 10^{17}$ 
D)  $2.8 \times 10^{17}$

Evaluate the polynomial. - $3 x+2$ , when $x=4$

Divide - $\frac{5 x^{4}+3 x^{3}+6 x^{2}}{x^{2}}$

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

Draw and label rectangles to illustrate the given product. - $(2 x+5)(2 x+5)$

Perform the division. - $\left(x^{2}-25\right) \div(x-5)$

Write the word or phrase that best completes each statement or answers the question. -When is the square of the sum the sum of a square; i.e., when is $(A+B)^{2}=A^{2}+B^{2}$ ?

Solve the problem. -Find a polynomial for the the shaded areas of the figure.

Divide - $\frac{36 x^{2}+24 x-5}{4}$

Simplify. - $\left(\frac{x^{5} y}{z^{4}}\right)^{4}$

Perform the division. - $\frac{x^{3}+64}{x+4}$

Simplify. - $-(3 x-8)$

Multiply mentally - $\left(-\mathrm{a}^{2}-13\right)^{2}$

Evaluate. - $\left(-\frac{3}{5}\right)^{0}$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $-7 x^{4}-6 w^{3}+8 w-3 w^{5}+3$

Write the word or phrase that best completes each statement or answers the question. -Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Evaluate. - $7.17^{1}$

What is the meaning of the expression? - $4 x^{3}$

Evaluate the polynomial. - $2 x^{2}-y^{2}+2 x y$ for $x=-2$ and $y=-6$

Evaluate the polynomial. - $-29-2 x^{2}-4 x^{3}$ , when $x=-2$

Multiply or divide and write scientific notation for the result. - $\left(4 \times 10^{8}\right)\left(7 \times 10^{8}\right)$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 10: Polynomials: Operations

Evaluate the polynomial. - 3x+23 x+23x+2 , when x=4x=4x=4

Divide - 5x4+3x3+6x2x2\frac{5 x^{4}+3 x^{3}+6 x^{2}}{x^{2}}x25x4+3x3+6x2​

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

Draw and label rectangles to illustrate the given product. - (2x+5)(2x+5)(2 x+5)(2 x+5)(2x+5)(2x+5)

Perform the division. - (x2−25)÷(x−5)\left(x^{2}-25\right) \div(x-5)(x2−25)÷(x−5)

Write the word or phrase that best completes each statement or answers the question. -When is the square of the sum the sum of a square; i.e., when is (A+B)2=A2+B2(A+B)^{2}=A^{2}+B^{2}(A+B)2=A2+B2 ?