Question 1

Add.
-$(4 x-9)+(6 x-8)$

Accepted Answer

A)  $24 x+72$ 
B)  $-7 x$ 
C)  $10 x-17$ 
D)  $24 x-17$ 
A)  $24 x+72$ 
B)  $-7 x$ 
C)  $10 x-17$ 
D)  $24 x-17$

Question 2

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

Accepted Answer

A)  100,000 
B)  $1,000,000$ 
C)  $10,000,000$ 
D)  10,000 
A)  100,000 
B)  $1,000,000$ 
C)  $10,000,000$ 
D)  10,000

Question 3

Multiply.
-$(x-1.9)(x+3.3)$

Accepted Answer

A)  $x^{2}+1.4 x-6.27$ 
B)  $x^{2}-1.4 x-6.27$ 
C)  $x^{2}+5.2 x-6.27$ 
D)  $x^{2}-5.2 x-6.27$ 
A)  $x^{2}+1.4 x-6.27$ 
B)  $x^{2}-1.4 x-6.27$ 
C)  $x^{2}+5.2 x-6.27$ 
D)  $x^{2}-5.2 x-6.27$

Question 4

Multiply.
-$(x-1)(x+1)$

Accepted Answer

A)  $x^{2}-2 x-1$ 
B)  $x^{2}+2 x-1$ 
C)  $x^{2}-2$ 
D)  $x^{2}-1$ 
A)  $x^{2}-2 x-1$ 
B)  $x^{2}+2 x-1$ 
C)  $x^{2}-2$ 
D)  $x^{2}-1$

Question 5

Divide and simplify.
-$\frac{z^{-7}}{z^{-3}}$

Accepted Answer

A)  $z^{4}$ 
B)  $z^{10}$ 
C)  $\frac{1}{z^{-4}}$ 
D)  $\frac{1}{z^{4}}$ 
A)  $z^{4}$ 
B)  $z^{10}$ 
C)  $\frac{1}{z^{-4}}$ 
D)  $\frac{1}{z^{4}}$

Question 6

Write the number in scientific notation.
-0.0000000234012

Accepted Answer

A)  $2.34012 \times 10^{-9}$ 
B)  $2.34012 \times 10^{-7}$ 
C)  $2.34012 \times 10^{-8}$ 
D)  $2.34012 \times 10^{8}$ 
A)  $2.34012 \times 10^{-9}$ 
B)  $2.34012 \times 10^{-7}$ 
C)  $2.34012 \times 10^{-8}$ 
D)  $2.34012 \times 10^{8}$

Question 7

Find the degree of the polynomial.
-$z^{6} y+1-x^{6}+z^{5} x^{3}$

Accepted Answer

A)  6 
B)  3 
C)  7 
D)  8 
A)  6 
B)  3 
C)  7 
D)  8

Question 8

Convert to decimal notation.
-$9.366 \times 10^{-6}$

Accepted Answer

A)  0.0000009366 
B)  $-9,366,000$ 
C)  0.00009366 
D)  0.000009366 
A)  0.0000009366 
B)  $-9,366,000$ 
C)  0.00009366 
D)  0.000009366

Question 9

Subtract.
-$\left(9 x^{5}-6 x^{3}-20\right)-\left(12 x^{3}+3 x^{5}+17\right)$

Accepted Answer

A)  $6 x^{5}-3 x^{3}-3$ 
B)  $6 x^{5}-18 x^{3}-37$ 
C)  $-49 x^{8}$ 
D)  $6 x^{5}-18 x^{3}-3$ 
A)  $6 x^{5}-3 x^{3}-3$ 
B)  $6 x^{5}-18 x^{3}-37$ 
C)  $-49 x^{8}$ 
D)  $6 x^{5}-18 x^{3}-3$

Question 10

Multiply.
-$(2 x+9)(3 x+10)$

Accepted Answer

A)  $5 x^{2}+47 x+47$ 
B)  $6 x^{2}+47 x+47$ 
C)  $5 x^{2}+47 x+90$ 
D)  $6 x^{2}+47 x+90$ 
A)  $5 x^{2}+47 x+47$ 
B)  $6 x^{2}+47 x+47$ 
C)  $5 x^{2}+47 x+90$ 
D)  $6 x^{2}+47 x+90$

Question 11

Identify the missing terms in the polynomial.
-$x^{3}-9$

Accepted Answer

A)  $x^{2}$-term 
B)  $x$-term 
C)  $x^{4}$-term, $x^{2}$-term, $x$-term 
D)  $x^{2}$-term, $x$-term 
A)  $x^{2}$-term 
B)  $x$-term 
C)  $x^{4}$-term, $x^{2}$-term, $x$-term 
D)  $x^{2}$-term, $x$-term

Question 12

Multiply.
-$(4 x-9)(4 x-9)$

Accepted Answer

A)  $4 x^{2}-72 x-73$ 
B)  $16 x^{2}+81 x-72$ 
C)  $16 x^{2}-72 x+81$ 
D)  $4 x^{2}-73 x+81$ 
A)  $4 x^{2}-72 x-73$ 
B)  $16 x^{2}+81 x-72$ 
C)  $16 x^{2}-72 x+81$ 
D)  $4 x^{2}-73 x+81$

Question 13

Multiply and simplify.
-$x^{-9} \cdot x^{3} \cdot x^{-8}$

Accepted Answer

A)  $x^{14}$ 
B)  $x^{20}$ 
C)  $\frac{1}{x^{20}}$ 
D)  $\frac{1}{x^{14}}$ 
A)  $x^{14}$ 
B)  $x^{20}$ 
C)  $\frac{1}{x^{20}}$ 
D)  $\frac{1}{x^{14}}$

Question 14

Simplify.
-$\left(\frac{5 a}{2}\right)^{3}$

Accepted Answer

A)  $\frac{5 a^{3}}{8}$ 
B)  $\frac{125 a}{8}$ 
C)  $\frac{125 a^{3}}{2}$ 
D)  $\frac{125 a^{3}}{8}$ 
A)  $\frac{5 a^{3}}{8}$ 
B)  $\frac{125 a}{8}$ 
C)  $\frac{125 a^{3}}{2}$ 
D)  $\frac{125 a^{3}}{8}$

Question 15

Find the degree of the polynomial.
-$2 x^{6}+4 x^{4}+2 x^{3}-1$

Accepted Answer

A)  4 
B)  5 
C)  6 
D)  3 
A)  4 
B)  5 
C)  6 
D)  3

Question 16

Simplify.
-$-\left(-9 x^{4}+9 x^{2}+\frac{3}{5} x-4\right)$

Accepted Answer

A)  $9 x^{4}-9 x^{2}-\frac{3}{5} x+4$ 
B)  $9 x^{4}+9 x^{2}-\frac{3}{5} x+4$ 
C)  $9 x^{4}+9 x^{2}+\frac{3}{5} x-4$ 
D)  $-9 x^{4}+9 x^{2}+\frac{3}{5} x-4$ 
A)  $9 x^{4}-9 x^{2}-\frac{3}{5} x+4$ 
B)  $9 x^{4}+9 x^{2}-\frac{3}{5} x+4$ 
C)  $9 x^{4}+9 x^{2}+\frac{3}{5} x-4$ 
D)  $-9 x^{4}+9 x^{2}+\frac{3}{5} x-4$

Question 17

Multiply.
-$\left(9-x^{6}\right)\left(9+x^{6}\right)$

Accepted Answer

A)  $81-x^{36}$ 
B)  $81+x^{6}$ 
C)  $81-x^{6}$ 
D)  $81-\mathrm{x}^{12}$ 
A)  $81-x^{36}$ 
B)  $81+x^{6}$ 
C)  $81-x^{6}$ 
D)  $81-\mathrm{x}^{12}$

Question 18

Express using positive exponents. Then simplify.
-$\left(\frac{1}{5}\right)^{-3}$

Accepted Answer

A)  -125 
B)  $\frac{1}{15}$ 
C)  125 
D)  $\frac{1}{125}$ 
A)  -125 
B)  $\frac{1}{15}$ 
C)  125 
D)  $\frac{1}{125}$

Question 19

The volume of a cube with sides of length s is given by V = s3. Find the volume of the cube.

Accepted Answer

A)  $69 \mathrm{~m}^{3}$ 
B)  $12,167 \mathrm{~m}^{3}$ 
C)  $529 \mathrm{~m}^{3}$ 
D)  $1058 \mathrm{~m}^{3}$ 
A)  $69 \mathrm{~m}^{3}$ 
B)  $12,167 \mathrm{~m}^{3}$ 
C)  $529 \mathrm{~m}^{3}$ 
D)  $1058 \mathrm{~m}^{3}$

Question 20

Write the number in scientific notation.
-133.7

Accepted Answer

A)  $1.337 \times 10^{3}$ 
B)  $1.337 \times 10^{2}$ 
C)  $1.337 \times 10^{-3}$ 
D)  $1.337 \times 10^{-2}$ 
A)  $1.337 \times 10^{3}$ 
B)  $1.337 \times 10^{2}$ 
C)  $1.337 \times 10^{-3}$ 
D)  $1.337 \times 10^{-2}$

Add. - $(4 x-9)+(6 x-8)$

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

Multiply. - $(x-1.9)(x+3.3)$

Multiply. - $(x-1)(x+1)$

Divide and simplify. - $\frac{z^{-7}}{z^{-3}}$

Write the number in scientific notation. -0.0000000234012

Find the degree of the polynomial. - $z^{6} y+1-x^{6}+z^{5} x^{3}$

Convert to decimal notation. - $9.366 \times 10^{-6}$

Subtract. - $\left(9 x^{5}-6 x^{3}-20\right)-\left(12 x^{3}+3 x^{5}+17\right)$

Multiply. - $(2 x+9)(3 x+10)$

Identify the missing terms in the polynomial. - $x^{3}-9$

Multiply. - $(4 x-9)(4 x-9)$

Multiply and simplify. - $x^{-9} \cdot x^{3} \cdot x^{-8}$

Simplify. - $\left(\frac{5 a}{2}\right)^{3}$

Find the degree of the polynomial. - $2 x^{6}+4 x^{4}+2 x^{3}-1$

Simplify. - $-\left(-9 x^{4}+9 x^{2}+\frac{3}{5} x-4\right)$

Multiply. - $\left(9-x^{6}\right)\left(9+x^{6}\right)$

Express using positive exponents. Then simplify. - $\left(\frac{1}{5}\right)^{-3}$

The volume of a cube with sides of length s is given by V = s3. Find the volume of the cube.

Write the number in scientific notation. -133.7

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

Add. - (4x−9)+(6x−8)(4 x-9)+(6 x-8)(4x−9)+(6x−8)

Convert to decimal notation. - 10510^{5}105

Multiply. - (x−1.9)(x+3.3)(x-1.9)(x+3.3)(x−1.9)(x+3.3)

Multiply. - (x−1)(x+1)(x-1)(x+1)(x−1)(x+1)

Divide and simplify. - z−7z−3\frac{z^{-7}}{z^{-3}}z−3z−7​

Write the number in scientific notation. -0.0000000234012

Find the degree of the polynomial. - z6y+1−x6+z5x3z^{6} y+1-x^{6}+z^{5} x^{3}z6y+1−x6+z5x3

Convert to decimal notation. - 9.366×10−69.366 \times 10^{-6}9.366×10−6

Subtract. - (9x5−6x3−20)−(12x3+3x5+17)\left(9 x^{5}-6 x^{3}-20\right)-\left(12 x^{3}+3 x^{5}+17\right)(9x5−6x3−20)−(12x3+3x5+17)

Multiply. - (2x+9)(3x+10)(2 x+9)(3 x+10)(2x+9)(3x+10)

Identify the missing terms in the polynomial. - x3−9x^{3}-9x3−9

Multiply. - (4x−9)(4x−9)(4 x-9)(4 x-9)(4x−9)(4x−9)

Multiply and simplify. - x−9⋅x3⋅x−8x^{-9} \cdot x^{3} \cdot x^{-8}x−9⋅x3⋅x−8

Simplify. - (5a2)3\left(\frac{5 a}{2}\right)^{3}(25a​)3

Find the degree of the polynomial. - 2x6+4x4+2x3−12 x^{6}+4 x^{4}+2 x^{3}-12x6+4x4+2x3−1

Simplify. - −(−9x4+9x2+35x−4)-\left(-9 x^{4}+9 x^{2}+\frac{3}{5} x-4\right)−(−9x4+9x2+53​x−4)

Multiply. - (9−x6)(9+x6)\left(9-x^{6}\right)\left(9+x^{6}\right)(9−x6)(9+x6)

Express using positive exponents. Then simplify. - (15)−3\left(\frac{1}{5}\right)^{-3}(51​)−3

The volume of a cube with sides of length s is given by V = s3. Find the volume of the cube.

Write the number in scientific notation. -133.7

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

Add. - $(4 x-9)+(6 x-8)$

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

Multiply. - $(x-1.9)(x+3.3)$

Multiply. - $(x-1)(x+1)$

Divide and simplify. - $\frac{z^{-7}}{z^{-3}}$

Find the degree of the polynomial. - $z^{6} y+1-x^{6}+z^{5} x^{3}$

Convert to decimal notation. - $9.366 \times 10^{-6}$

Subtract. - $\left(9 x^{5}-6 x^{3}-20\right)-\left(12 x^{3}+3 x^{5}+17\right)$

Multiply. - $(2 x+9)(3 x+10)$

Identify the missing terms in the polynomial. - $x^{3}-9$

Multiply. - $(4 x-9)(4 x-9)$

Multiply and simplify. - $x^{-9} \cdot x^{3} \cdot x^{-8}$

Simplify. - $\left(\frac{5 a}{2}\right)^{3}$

Find the degree of the polynomial. - $2 x^{6}+4 x^{4}+2 x^{3}-1$

Simplify. - $-\left(-9 x^{4}+9 x^{2}+\frac{3}{5} x-4\right)$

Multiply. - $\left(9-x^{6}\right)\left(9+x^{6}\right)$

Express using positive exponents. Then simplify. - $\left(\frac{1}{5}\right)^{-3}$