Question 1

Multiply.
-$\left(x-\frac{1}{4}\right)\left(x+\frac{1}{4}\right)$

Accepted Answer

A)  $x^{2}+4 x-8$ 
B)  $x^{2}-4$ 
C)  $x^{2}-\frac{1}{16}$ 
D)  $x^{2}-4 x-8$ 
A)  $x^{2}+4 x-8$ 
B)  $x^{2}-4$ 
C)  $x^{2}-\frac{1}{16}$ 
D)  $x^{2}-4 x-8$

Question 2

Find the degree of the polynomial.
-$-y^{3}+4 x^{3}+2 x^{3} y+6$

Accepted Answer

A)  3 
B)  6 
C)  10 
D)  4 
A)  3 
B)  6 
C)  10 
D)  4

Question 3

Simplify.
-$\left(\frac{x y^{4}}{w^{2} z}\right)^{-6}$

Accepted Answer

A)  $\frac{w^{12} z^{6}}{x^{6} y^{24}}$ 
B)  $\frac{x y^{-24}}{w^{-12} z}$ 
C)  $\frac{x^{-6} y^{-2}}{w^{-4} z^{-6}}$ 
D)  $\frac{x^{6} y^{-24}}{w^{-12} z^{6}}$ 
A)  $\frac{w^{12} z^{6}}{x^{6} y^{24}}$ 
B)  $\frac{x y^{-24}}{w^{-12} z}$ 
C)  $\frac{x^{-6} y^{-2}}{w^{-4} z^{-6}}$ 
D)  $\frac{x^{6} y^{-24}}{w^{-12} z^{6}}$

Question 4

Multiply.
-$\left(-7 x^{2}\right)\left(-8 x^{6}\right)\left(-2 x^{4}\right)$

Accepted Answer

A)  $-112 x^{12}$ 
B)  $112 x^{48}$ 
C)  $-112 x^{48}$ 
D)  $112 x^{12}$ 
A)  $-112 x^{12}$ 
B)  $112 x^{48}$ 
C)  $-112 x^{48}$ 
D)  $112 x^{12}$

Question 5

Perform the division.
-$\frac{x^{8}-1}{x^{4}-1}$

Accepted Answer

A)  $x^{4}$ 
B)  $x^{4}+1$ 
C)  $x^{4}-1$ 
D)  $x^{4}+12 x-1$ 
A)  $x^{4}$ 
B)  $x^{4}+1$ 
C)  $x^{4}-1$ 
D)  $x^{4}+12 x-1$

Question 6

Multiply.
-$(5 p-1)\left(25 p^{2}+5 p+1\right)$

Accepted Answer

A)  $125 p^{3}-1$ 
B)  $125 p^{3}+30 p^{2}-1$ 
C)  $125 p^{3}+1$ 
D)  $25 p^{3}-1$ 
A)  $125 p^{3}-1$ 
B)  $125 p^{3}+30 p^{2}-1$ 
C)  $125 p^{3}+1$ 
D)  $25 p^{3}-1$

Question 7

Collect like terms and then arrange in descending order.
-$5 x^{4}-7 x^{5}+4 x^{4}+5 x^{5}$

Accepted Answer

A)  $7 x^{9}$ 
B)  $-2 x^{5}+9 x^{4}$ 
C)  $7 x^{18}$ 
D)  $9 x^{10}-2 x^{8}$ 
A)  $7 x^{9}$ 
B)  $-2 x^{5}+9 x^{4}$ 
C)  $7 x^{18}$ 
D)  $9 x^{10}-2 x^{8}$

Question 8

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

Question 9

Express the following using negative exponents.
-$\frac{1}{x^{7}}$

Accepted Answer

A)  $x^{-7}$ 
B)  $7^{-x+1}$ 
C)  $7^{-x}$ 
D)  $x^{7}$ 
A)  $x^{-7}$ 
B)  $7^{-x+1}$ 
C)  $7^{-x}$ 
D)  $x^{7}$

Multiply. - $\left(x-\frac{1}{4}\right)\left(x+\frac{1}{4}\right)$

Find the degree of the polynomial. - $-y^{3}+4 x^{3}+2 x^{3} y+6$

Simplify. - $\left(\frac{x y^{4}}{w^{2} z}\right)^{-6}$

Multiply. - $\left(-7 x^{2}\right)\left(-8 x^{6}\right)\left(-2 x^{4}\right)$

Perform the division. - $\frac{x^{8}-1}{x^{4}-1}$

Multiply. - $(5 p-1)\left(25 p^{2}+5 p+1\right)$

Collect like terms and then arrange in descending order. - $5 x^{4}-7 x^{5}+4 x^{4}+5 x^{5}$

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.

Express the following using negative exponents. - $\frac{1}{x^{7}}$

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

Multiply. - (x−14)(x+14)\left(x-\frac{1}{4}\right)\left(x+\frac{1}{4}\right)(x−41​)(x+41​)

Find the degree of the polynomial. - −y3+4x3+2x3y+6-y^{3}+4 x^{3}+2 x^{3} y+6−y3+4x3+2x3y+6

Simplify. - (xy4w2z)−6\left(\frac{x y^{4}}{w^{2} z}\right)^{-6}(w2zxy4​)−6

Multiply. - (−7x2)(−8x6)(−2x4)\left(-7 x^{2}\right)\left(-8 x^{6}\right)\left(-2 x^{4}\right)(−7x2)(−8x6)(−2x4)

Perform the division. - x8−1x4−1\frac{x^{8}-1}{x^{4}-1}x4−1x8−1​

Multiply. - (5p−1)(25p2+5p+1)(5 p-1)\left(25 p^{2}+5 p+1\right)(5p−1)(25p2+5p+1)

Collect like terms and then arrange in descending order. - 5x4−7x5+4x4+5x55 x^{4}-7 x^{5}+4 x^{4}+5 x^{5}5x4−7x5+4x4+5x5

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 1.4×10−71.4 \times 10^{-7}1.4×10−7 seconds.

Express the following using negative exponents. - 1x7\frac{1}{x^{7}}x71​