Question 1

Multiply.
-$\left(4 x^{2}-9 x\right)\left(4 x^{2}+9 x\right)$

Accepted Answer

A)  $16 x^{4}-72 x^{3}-81 x^{2}$ 
B)  $16 x^{4}+72 x^{3}-81 x^{2}$ 
C)  $4 x^{4}-9 x^{2}$ 
D)  $16 x^{4}-81 x^{2}$ 
A)  $16 x^{4}-72 x^{3}-81 x^{2}$ 
B)  $16 x^{4}+72 x^{3}-81 x^{2}$ 
C)  $4 x^{4}-9 x^{2}$ 
D)  $16 x^{4}-81 x^{2}$

Question 2

Give the coefficient and degree of the term.
-$5 x^{5} y^{2} z^{2}$

Accepted Answer

A)  5,10 
B)  5,9 
C)  5,5 
D)  5, degree undefined 
A)  5,10 
B)  5,9 
C)  5,5 
D)  5, degree undefined

Question 3

Write the number in scientific notation.
-0.000000855016

Accepted Answer

A)  $8.55016 \times 10^{7}$ 
B)  $8.55016 \times 10-6$ 
C)  $8.55016 \times 10^{-7}$ 
D)  $8.55016 \times 10^{6}$ 
A)  $8.55016 \times 10^{7}$ 
B)  $8.55016 \times 10-6$ 
C)  $8.55016 \times 10^{-7}$ 
D)  $8.55016 \times 10^{6}$

Question 4

Tell whether or not the number is given in scientific notation. $59.34 \times 10^{-12}$

Accepted Answer

A) True 
 B)False

Question 5

Perform the division.
-$\frac{-8 x^{3}+28 x^{2}-10 x-11}{2 x-5}$

Accepted Answer

A)  $-4 x^{2}+4 x+5+\frac{17}{2 x-5}$ 
B)  $-4 x^{2}+4 x+5$ 
C)  $-4 x^{2}+4 x+5+\frac{14}{2 x-5}$ 
D)  $x^{2}+5+\frac{4}{2 x-5}$ 
A)  $-4 x^{2}+4 x+5+\frac{17}{2 x-5}$ 
B)  $-4 x^{2}+4 x+5$ 
C)  $-4 x^{2}+4 x+5+\frac{14}{2 x-5}$ 
D)  $x^{2}+5+\frac{4}{2 x-5}$

Question 6

Perform the division.
-$\frac{x^{4}+7 x^{2}+10}{x^{2}+1}$

Accepted Answer

A)  $x^{2}+6 x+2$ 
B)  $x^{2}+6$ 
C)  $x^{2}+6+\frac{3}{2}$ 
D)  $x^{2}+6+\frac{4}{x^{2}+1}$ 
A)  $x^{2}+6 x+2$ 
B)  $x^{2}+6$ 
C)  $x^{2}+6+\frac{3}{2}$ 
D)  $x^{2}+6+\frac{4}{x^{2}+1}$

Question 7

Multiply.
-$5(4 \mathrm{x})$

Accepted Answer

A)  20 
B)  $20 x$ 
C)  9 
D)  $9 x$ 
A)  20 
B)  $20 x$ 
C)  9 
D)  $9 x$

Question 8

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

Accepted Answer

A)  $64 x^{3}$ 
B)  $\frac{4}{x^{3}}$ 
C)  $\frac{64}{x}$ 
D)  $\frac{64}{x^{3}}$ 
A)  $64 x^{3}$ 
B)  $\frac{4}{x^{3}}$ 
C)  $\frac{64}{x}$ 
D)  $\frac{64}{x^{3}}$

Question 9

Multiply.
-$\left(-14 x^{3}\right)(-1)$

Accepted Answer

A)  1 
B)  $-14 x^{3}$ 
C)  $14 x^{3}$ 
D)  14 
A)  1 
B)  $-14 x^{3}$ 
C)  $14 x^{3}$ 
D)  14

Question 10

Divide and simplify.
-$\frac{t^{-2}}{t^{-7}}$

Accepted Answer

A)  $t^{9}$ 
B)  $t^{-5}$ 
C)  $t^{-9}$ 
D)  $t^{5}$ 
A)  $t^{9}$ 
B)  $t^{-5}$ 
C)  $t^{-9}$ 
D)  $t^{5}$

Question 11

Collect like terms and then arrange in descending order.
-$-3 x^{9}-9 x^{5}+8 x^{6}+10 x^{9}-13 x^{6}$

Accepted Answer

A)  $7 x^{9}-5 x^{6}-9 x^{5}$ 
B)  $420 x$ 
C)  $21 x^{20}$ 
D)  Can't be simplified 
A)  $7 x^{9}-5 x^{6}-9 x^{5}$ 
B)  $420 x$ 
C)  $21 x^{20}$ 
D)  Can't be simplified

Question 12

Multiply.
-$-3 x^{8}\left(-10 x^{9}+9 x^{8}+5\right)$

Accepted Answer

A)  $30 x^{9}-27 x^{8}-15$ 
B)  $30 x^{17}+9 x^{8}+5$ 
C)  $30 x^{17}-27 x^{16}+5$ 
D)  $30 x^{17}-27 x^{16}-15 x^{8}$ 
A)  $30 x^{9}-27 x^{8}-15$ 
B)  $30 x^{17}+9 x^{8}+5$ 
C)  $30 x^{17}-27 x^{16}+5$ 
D)  $30 x^{17}-27 x^{16}-15 x^{8}$

Question 13

Multiply.
-$\left(x^{2}+5\right)^{2}$

Accepted Answer

A)  $x^{4}+25$ 
B)  $x^{4}+5 x+25$ 
C)  $x^{4}+5 x^{2}+25$ 
D)  $x^{4}+10 x^{2}+25$ 
A)  $x^{4}+25$ 
B)  $x^{4}+5 x+25$ 
C)  $x^{4}+5 x^{2}+25$ 
D)  $x^{4}+10 x^{2}+25$

Question 14

Subtract.
-

Accepted Answer

A)  $8 x^{4}+11 x^{3}-x^{2}+8 x+1$ 
B)  $8 x^{4}+11 x^{3}+x^{2}-7 x$ 
C)  $8 x^{4}+3 x^{3}-x^{2}-8 x+1$ 
D)  $8 x^{4}+11 x^{3}+x^{2}-8 x+1$ 
A)  $8 x^{4}+11 x^{3}-x^{2}+8 x+1$ 
B)  $8 x^{4}+11 x^{3}+x^{2}-7 x$ 
C)  $8 x^{4}+3 x^{3}-x^{2}-8 x+1$ 
D)  $8 x^{4}+11 x^{3}+x^{2}-8 x+1$

Question 15

Evaluate.
-$m^{4}$ when $m=3$

Accepted Answer

A)  3 
B)  34 
C)  12 
D)  81 
A)  3 
B)  34 
C)  12 
D)  81

Question 16

Evaluate the polynomial.
-$-6 x+3$, when $x=5$

Accepted Answer

A)  -60 
B)  -27 
C)  -3 
D)  -33 
A)  -60 
B)  -27 
C)  -3 
D)  -33

Question 17

Multiply.
-$-10 x^{4}\left(5 x^{7}-3\right)$

Accepted Answer

A)  $-20 x^{4}$ 
B)  $-50 x^{7}+30$ 
C)  $-50 x^{11}-3$ 
D)  $-50 x^{11}+30 x^{4}$ 
A)  $-20 x^{4}$ 
B)  $-50 x^{7}+30$ 
C)  $-50 x^{11}-3$ 
D)  $-50 x^{11}+30 x^{4}$

Question 18

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

Accepted Answer

A)  ?r2 + 45? 
B)  ?r2 - 45? 
C)  ?r2 + 4? 
D)  ?r2 - 49? 
A)  ?r2 + 45? 
B)  ?r2 - 45? 
C)  ?r2 + 4? 
D)  ?r2 - 49?

Question 19

Divide
-$\frac{-6 x^{7}-18 x^{5}}{-2 x^{3}}$

Accepted Answer

A)  $3 x^{4}-18 x^{5}$ 
B)  $3 x^{4}+9 x^{2}$ 
C)  $12 x^{9}$ 
D)  $-6 x^{7}+9 x^{2}$ 
A)  $3 x^{4}-18 x^{5}$ 
B)  $3 x^{4}+9 x^{2}$ 
C)  $12 x^{9}$ 
D)  $-6 x^{7}+9 x^{2}$

Question 20

Evaluate the polynomial.
-$x^{2}-4 y^{2}-x y$ for $x=1$ and $y=-2$

Accepted Answer

A)  -13 
B)  -17 
C)  15 
D)  19 
A)  -13 
B)  -17 
C)  15 
D)  19

Multiply. - $\left(4 x^{2}-9 x\right)\left(4 x^{2}+9 x\right)$

Give the coefficient and degree of the term. - $5 x^{5} y^{2} z^{2}$

Write the number in scientific notation. -0.000000855016

Tell whether or not the number is given in scientific notation. $59.34 \times 10^{-12}$

Perform the division. - $\frac{-8 x^{3}+28 x^{2}-10 x-11}{2 x-5}$

Perform the division. - $\frac{x^{4}+7 x^{2}+10}{x^{2}+1}$

Multiply. - $5(4 \mathrm{x})$

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

Multiply. - $\left(-14 x^{3}\right)(-1)$

Divide and simplify. - $\frac{t^{-2}}{t^{-7}}$

Collect like terms and then arrange in descending order. - $-3 x^{9}-9 x^{5}+8 x^{6}+10 x^{9}-13 x^{6}$

Multiply. - $-3 x^{8}\left(-10 x^{9}+9 x^{8}+5\right)$

Multiply. - $\left(x^{2}+5\right)^{2}$

Subtract. -

Evaluate. - $m^{4}$ when $m=3$

Evaluate the polynomial. - $-6 x+3$ , when $x=5$

Multiply. - $-10 x^{4}\left(5 x^{7}-3\right)$

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

Divide - $\frac{-6 x^{7}-18 x^{5}}{-2 x^{3}}$

Evaluate the polynomial. - $x^{2}-4 y^{2}-x y$ for $x=1$ and $y=-2$

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. - (4x2−9x)(4x2+9x)\left(4 x^{2}-9 x\right)\left(4 x^{2}+9 x\right)(4x2−9x)(4x2+9x)

Give the coefficient and degree of the term. - 5x5y2z25 x^{5} y^{2} z^{2}5x5y2z2

Write the number in scientific notation. -0.000000855016

Tell whether or not the number is given in scientific notation. 59.34×10−1259.34 \times 10^{-12}59.34×10−12

Perform the division. - −8x3+28x2−10x−112x−5\frac{-8 x^{3}+28 x^{2}-10 x-11}{2 x-5}2x−5−8x3+28x2−10x−11​

Perform the division. - x4+7x2+10x2+1\frac{x^{4}+7 x^{2}+10}{x^{2}+1}x2+1x4+7x2+10​

Multiply. - 5(4x)5(4 \mathrm{x})5(4x)

Simplify. - (4x)3\left(\frac{4}{x}\right)^{3}(x4​)3

Multiply. - (−14x3)(−1)\left(-14 x^{3}\right)(-1)(−14x3)(−1)

Divide and simplify. - t−2t−7\frac{t^{-2}}{t^{-7}}t−7t−2​

Collect like terms and then arrange in descending order. - −3x9−9x5+8x6+10x9−13x6-3 x^{9}-9 x^{5}+8 x^{6}+10 x^{9}-13 x^{6}−3x9−9x5+8x6+10x9−13x6

Multiply. - −3x8(−10x9+9x8+5)-3 x^{8}\left(-10 x^{9}+9 x^{8}+5\right)−3x8(−10x9+9x8+5)

Multiply. - (x2+5)2\left(x^{2}+5\right)^{2}(x2+5)2

Subtract. -

Evaluate. - m4m^{4}m4 when m=3m=3m=3

Evaluate the polynomial. - −6x+3-6 x+3−6x+3 , when x=5x=5x=5

Multiply. - −10x4(5x7−3)-10 x^{4}\left(5 x^{7}-3\right)−10x4(5x7−3)

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

Divide - −6x7−18x5−2x3\frac{-6 x^{7}-18 x^{5}}{-2 x^{3}}−2x3−6x7−18x5​

Evaluate the polynomial. - x2−4y2−xyx^{2}-4 y^{2}-x yx2−4y2−xy for x=1x=1x=1 and y=−2y=-2y=−2

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

Multiply. - $\left(4 x^{2}-9 x\right)\left(4 x^{2}+9 x\right)$

Give the coefficient and degree of the term. - $5 x^{5} y^{2} z^{2}$

Tell whether or not the number is given in scientific notation. $59.34 \times 10^{-12}$

Perform the division. - $\frac{-8 x^{3}+28 x^{2}-10 x-11}{2 x-5}$

Perform the division. - $\frac{x^{4}+7 x^{2}+10}{x^{2}+1}$

Multiply. - $5(4 \mathrm{x})$

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

Multiply. - $\left(-14 x^{3}\right)(-1)$

Divide and simplify. - $\frac{t^{-2}}{t^{-7}}$

Collect like terms and then arrange in descending order. - $-3 x^{9}-9 x^{5}+8 x^{6}+10 x^{9}-13 x^{6}$

Multiply. - $-3 x^{8}\left(-10 x^{9}+9 x^{8}+5\right)$

Multiply. - $\left(x^{2}+5\right)^{2}$

Evaluate. - $m^{4}$ when $m=3$

Evaluate the polynomial. - $-6 x+3$ , when $x=5$

Multiply. - $-10 x^{4}\left(5 x^{7}-3\right)$

Divide - $\frac{-6 x^{7}-18 x^{5}}{-2 x^{3}}$

Evaluate the polynomial. - $x^{2}-4 y^{2}-x y$ for $x=1$ and $y=-2$