Question 1

Divide and simplify.
-$\frac{\mathrm{x}}{\mathrm{x}^{12}}$

Accepted Answer

A)  $x^{12}$ 
B)  $\frac{1}{\mathrm{x}^{11}}$ 
C)  $x^{11}$ 
D)  $\frac{1}{\mathrm{x}^{12}}$ 
A)  $x^{12}$ 
B)  $\frac{1}{\mathrm{x}^{11}}$ 
C)  $x^{11}$ 
D)  $\frac{1}{\mathrm{x}^{12}}$

Question 2

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

Accepted Answer

A)  3 
B)  256 
C)  44 
D)  16 
A)  3 
B)  256 
C)  44 
D)  16

Question 3

Express the following using negative exponents.
-$\frac{1}{b^{3}}$

Accepted Answer

A)  $b^{3}$ 
B)  $3^{-b-1}$ 
C)  $3^{-\mathrm{b}}$ 
D)  $b^{-3}$ 
A)  $b^{3}$ 
B)  $3^{-b-1}$ 
C)  $3^{-\mathrm{b}}$ 
D)  $b^{-3}$

Question 4

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

Accepted Answer

A)  $\frac{x^{10}}{y^{20} z^{16}}$ 
B)  $\frac{x^{20}}{y^{5} z^{16}}$ 
C)  $\frac{x^{20}}{y^{20} z^{16}}$ 
D)  $\frac{\mathrm{x}^{9}}{\mathrm{y}^{10} \mathrm{z}^{8}}$ 
A)  $\frac{x^{10}}{y^{20} z^{16}}$ 
B)  $\frac{x^{20}}{y^{5} z^{16}}$ 
C)  $\frac{x^{20}}{y^{20} z^{16}}$ 
D)  $\frac{\mathrm{x}^{9}}{\mathrm{y}^{10} \mathrm{z}^{8}}$

Question 5

Identify the coefficient of each term of the polynomial.
-$-6 z-3 y$

Accepted Answer

A)  -6 and -3 
B)  6 and -3 
C)  -6 and 3 
D)  6 and 3 
A)  -6 and -3 
B)  6 and -3 
C)  -6 and 3 
D)  6 and 3

Question 6

Add.
-$9 x^{5}+5 x^{4}+6 x^{3}+2$
$\underline{9 x^{5}+6 x^{4}+9x^{3}+6}$

Accepted Answer

A)  $8 x^{5}+8 x^{4}+15 x^{3}+14$ 
B)  $18 x^{10}+11 x^{8}+15 x^{6}+8$ 
C)  $44 x^{24}+8$ 
D)  $18 x^{5}+11 x^{4}+15 x^{3}+8$ 
A)  $8 x^{5}+8 x^{4}+15 x^{3}+14$ 
B)  $18 x^{10}+11 x^{8}+15 x^{6}+8$ 
C)  $44 x^{24}+8$ 
D)  $18 x^{5}+11 x^{4}+15 x^{3}+8$

Question 7

Multiply.
-$(x+10)(-5 x+5)$

Accepted Answer

A)  $-5 x^{2}-45 x-45$ 
B)  $-5 x^{2}-47 x+50$ 
C)  $-5 x^{2}+50 x-45$ 
D)  $-5 x^{2}-45 x+50$ 
A)  $-5 x^{2}-45 x-45$ 
B)  $-5 x^{2}-47 x+50$ 
C)  $-5 x^{2}+50 x-45$ 
D)  $-5 x^{2}-45 x+50$

Question 8

Multiply or divide and write scientific notation for the result.
-$\left(3 \times 10^{-6}\right) \div 10^{-2}$

Accepted Answer

A)  $3 \times 10^{9}$ 
B)  $3 \times 10^{-8}$ 
C)  $3 \times 10^{6}$ 
D)  $3 \times 10^{-4}$ 
A)  $3 \times 10^{9}$ 
B)  $3 \times 10^{-8}$ 
C)  $3 \times 10^{6}$ 
D)  $3 \times 10^{-4}$

Question 9

Multiply.
-$-8 x(6 x-7)$

Accepted Answer

A)  $-48 x^{2}-7 x$ 
B)  $8 x^{2}$ 
C)  $6 x^{2}+56 x$ 
D)  $-48 x^{2}+56 x$ 
A)  $-48 x^{2}-7 x$ 
B)  $8 x^{2}$ 
C)  $6 x^{2}+56 x$ 
D)  $-48 x^{2}+56 x$

Question 10

Evaluate the polynomial.
-$6-5 x^{2}+2 x^{3}$, when $x=-2$

Accepted Answer

A)  -30 
B)  -42 
C)  0 
D)  -40 
A)  -30 
B)  -42 
C)  0 
D)  -40

Question 11

Simplify.
-$-(2 \mathrm{x}-8)$

Accepted Answer

A)  $2 x+8$ 
B)  $-2 x-8$ 
C)  $2 \mathrm{x}-8$ 
D)  $-2 \mathrm{x}+8$ 
A)  $2 x+8$ 
B)  $-2 x-8$ 
C)  $2 \mathrm{x}-8$ 
D)  $-2 \mathrm{x}+8$

Question 12

Evaluate the polynomial.
-$4 x^{2}-6 x-3$, when $x=0$

Accepted Answer

A)  -6 
B)  0 
C)  4 
D)  -3 
A)  -6 
B)  0 
C)  4 
D)  -3

Question 13

Evaluate.
-$9^{1}$

Accepted Answer

A)  9 
B)  81 
C)  1 
D)  0 
A)  9 
B)  81 
C)  1 
D)  0

Question 14

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

Accepted Answer

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

Question 15

Collect like terms.
-$7 a^{9}-4 a^{9}+15 a^{8}+11 a^{9}-4 a^{8}$

Accepted Answer

A)  $25 \mathrm{a}^{9}$ 
B)  $14 \mathrm{a}^{9}+11 \mathrm{a}^{8}$ 
C)  Can't be simplified 
D)  $25 \mathrm{a} ^{17}$ 
A)  $25 \mathrm{a}^{9}$ 
B)  $14 \mathrm{a}^{9}+11 \mathrm{a}^{8}$ 
C)  Can't be simplified 
D)  $25 \mathrm{a} ^{17}$

Question 16

Perform the division.
-$\left(x^{4}-625\right) \div(x+5)$

Accepted Answer

A)  $x^{3}-5 x^{2}+25 x-125$ 
B)  $x^{2}+5 x+25$ 
C)  $x^{3}+5 x^{2}-25 x+125$ 
D)  $x^{3}+5 x^{2}+25 x+125$ 
A)  $x^{3}-5 x^{2}+25 x-125$ 
B)  $x^{2}+5 x+25$ 
C)  $x^{3}+5 x^{2}-25 x+125$ 
D)  $x^{3}+5 x^{2}+25 x+125$

Question 17

Collect like terms.
-$-7 \mathrm{x}^{9}+3 \mathrm{x}^{9}+18$

Accepted Answer

A)  $-36 x+18$ 
B)  $-4 x^{9}+18$ 
C)  Can't be simplified 
D)  $-4 x^{18}+18$ 
A)  $-36 x+18$ 
B)  $-4 x^{9}+18$ 
C)  Can't be simplified 
D)  $-4 x^{18}+18$

Question 18

Multiply.
-$(\mathrm{x}-4)\left(9 \mathrm{x}^{2}+\mathrm{x}+7\right)$

Accepted Answer

A)  $9 x^{3}-35 x^{2}+3 x-28$ 
B)  $9 x^{3}-37 x^{2}+3 x-28$ 
C)  $9 x^{3}-35 x^{2}+11 x-28$ 
D)  $9 x^{3}+35 x^{2}+3 x-28$ 
A)  $9 x^{3}-35 x^{2}+3 x-28$ 
B)  $9 x^{3}-37 x^{2}+3 x-28$ 
C)  $9 x^{3}-35 x^{2}+11 x-28$ 
D)  $9 x^{3}+35 x^{2}+3 x-28$

Question 19

Write the number in scientific notation.
-6646

Accepted Answer

A)  $6.646 \times 10^{3}$ 
B)  $6.646 \times 10^{-3}$ 
C)  $6.646 \times 10^{1}$ 
D)  $6.646 \times 10^{4}$ 
A)  $6.646 \times 10^{3}$ 
B)  $6.646 \times 10^{-3}$ 
C)  $6.646 \times 10^{1}$ 
D)  $6.646 \times 10^{4}$

Question 20

Find the degree of the polynomial.
-$15 x^{8} y z-7 x^{6} y^{2}+x^{5} yz^{3}$

Accepted Answer

A)  8 
B)  10 
C)  5 
D)  6 
A)  8 
B)  10 
C)  5 
D)  6

Divide and simplify. - $\frac{\mathrm{x}}{\mathrm{x}^{12}}$

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

Express the following using negative exponents. - $\frac{1}{b^{3}}$

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

Identify the coefficient of each term of the polynomial. - $-6 z-3 y$

Add. - $9 x^{5}+5 x^{4}+6 x^{3}+2$ $\underline{9 x^{5}+6 x^{4}+9x^{3}+6}$

Multiply. - $(x+10)(-5 x+5)$

Multiply or divide and write scientific notation for the result. - $\left(3 \times 10^{-6}\right) \div 10^{-2}$

Multiply. - $-8 x(6 x-7)$

Evaluate the polynomial. - $6-5 x^{2}+2 x^{3}$ , when $x=-2$

Simplify. - $-(2 \mathrm{x}-8)$

Evaluate the polynomial. - $4 x^{2}-6 x-3$ , when $x=0$

Evaluate. - $9^{1}$

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

Collect like terms. - $7 a^{9}-4 a^{9}+15 a^{8}+11 a^{9}-4 a^{8}$

Perform the division. - $\left(x^{4}-625\right) \div(x+5)$

Collect like terms. - $-7 \mathrm{x}^{9}+3 \mathrm{x}^{9}+18$

Multiply. - $(\mathrm{x}-4)\left(9 \mathrm{x}^{2}+\mathrm{x}+7\right)$

Write the number in scientific notation. -6646

Find the degree of the polynomial. - $15 x^{8} y z-7 x^{6} y^{2}+x^{5} yz^{3}$

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

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 4: Polynomials: Operations

Divide and simplify. - xx12\frac{\mathrm{x}}{\mathrm{x}^{12}}x12x​

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

Express the following using negative exponents. - 1b3\frac{1}{b^{3}}b31​

Simplify. - (x5y5z4)4\left(\frac{\mathrm{x}^{5}}{\mathrm{y}^{5} \mathrm{z}^{4}}\right)^{4}(y5z4x5​)4

Identify the coefficient of each term of the polynomial. - −6z−3y-6 z-3 y−6z−3y

Add. - 9x5+5x4+6x3+29 x^{5}+5 x^{4}+6 x^{3}+29x5+5x4+6x3+2 9x5+6x4+9x3+6‾\underline{9 x^{5}+6 x^{4}+9x^{3}+6}9x5+6x4+9x3+6​

Multiply. - (x+10)(−5x+5)(x+10)(-5 x+5)(x+10)(−5x+5)

Multiply or divide and write scientific notation for the result. - (3×10−6)÷10−2\left(3 \times 10^{-6}\right) \div 10^{-2}(3×10−6)÷10−2

Multiply. - −8x(6x−7)-8 x(6 x-7)−8x(6x−7)

Evaluate the polynomial. - 6−5x2+2x36-5 x^{2}+2 x^{3}6−5x2+2x3 , when x=−2x=-2x=−2

Simplify. - −(2x−8)-(2 \mathrm{x}-8)−(2x−8)

Evaluate the polynomial. - 4x2−6x−34 x^{2}-6 x-34x2−6x−3 , when x=0x=0x=0

Evaluate. - 919^{1}91

Multiply. - (2y2−4)(2y2+4)\left(2 y^{2}-4\right)\left(2 y^{2}+4\right)(2y2−4)(2y2+4)

Collect like terms. - 7a9−4a9+15a8+11a9−4a87 a^{9}-4 a^{9}+15 a^{8}+11 a^{9}-4 a^{8}7a9−4a9+15a8+11a9−4a8

Perform the division. - (x4−625)÷(x+5)\left(x^{4}-625\right) \div(x+5)(x4−625)÷(x+5)

Collect like terms. - −7x9+3x9+18-7 \mathrm{x}^{9}+3 \mathrm{x}^{9}+18−7x9+3x9+18

Multiply. - (x−4)(9x2+x+7)(\mathrm{x}-4)\left(9 \mathrm{x}^{2}+\mathrm{x}+7\right)(x−4)(9x2+x+7)