Question 1

Subtract.
-$\left(-8 x^{4}+2 x^{6}-4-8 x^{5}\right)-\left(-6+2 x^{5}+7 x^{6}-2 x^{4}\right)$

Accepted Answer

A)  $9 x^{6}-6 x^{5}-10 x^{4}-10$ 
B)  $-5 x^{6}-6 x^{5}-10 x^{4}-10$ 
C)  $9 x^{6}-6 x^{5}-10 x^{4}+2$ 
D)  $-5 x^{6}-10 x^{5}-6 x^{4}+2$ 
A)  $9 x^{6}-6 x^{5}-10 x^{4}-10$ 
B)  $-5 x^{6}-6 x^{5}-10 x^{4}-10$ 
C)  $9 x^{6}-6 x^{5}-10 x^{4}+2$ 
D)  $-5 x^{6}-10 x^{5}-6 x^{4}+2$

Question 2

Identify the degree of each term and the degree of the polynomial.
-$5 \mathrm{x}-8 \mathrm{x}^{2}+8-5 \mathrm{x}^{3}$

Accepted Answer

A)  $3,2,1,0 ; 3$ 
B)  $1,-2,0,-3$; 1 
C)  $1,2,0,3 ; 3$ 
D)  $5,-8,8,-5$; 5 
A)  $3,2,1,0 ; 3$ 
B)  $1,-2,0,-3$; 1 
C)  $1,2,0,3 ; 3$ 
D)  $5,-8,8,-5$; 5

Question 3

Multiply and simplify.
-$\left(x^{2} y^{2}\right)\left(x^{7} y\right)$

Accepted Answer

A)  $2 x^{9} 2 y^{3}$ 
B)  $x^{14} y^{2}$ 
C)  $x^{9} y^{2}$ 
D)  $x^{9} y^{3}$ 
A)  $2 x^{9} 2 y^{3}$ 
B)  $x^{14} y^{2}$ 
C)  $x^{9} y^{2}$ 
D)  $x^{9} y^{3}$

Question 4

Evaluate the polynomial.
-$2 x^{2}-y^{2}+2 x y$ for $x=-3$ and $y=-6$

Accepted Answer

A)  18 
B)  -90 
C)  90 
D)  -54 
A)  18 
B)  -90 
C)  90 
D)  -54

Question 5

Solve the problem.
-Find a polynomial for the sum of the areas of these circles.

Accepted Answer

A)  $\pi r^{2}+289 \pi$ 
B)  $\pi r^{2}+225 \pi$ 
C)  $(289+\pi) r^{2}$ 
D)  $\pi+289$ 
A)  $\pi r^{2}+289 \pi$ 
B)  $\pi r^{2}+225 \pi$ 
C)  $(289+\pi) r^{2}$ 
D)  $\pi+289$

Question 6

Subtract.
-

Accepted Answer

A)  $2 x^{7}-37 x^{5}+7$ 
B)  $2 x^{7}-12 x^{5}+29$ 
C)  $-28 x^{12}$ 
D)  $2 x^{7}-37 x^{5}+29$ 
A)  $2 x^{7}-37 x^{5}+7$ 
B)  $2 x^{7}-12 x^{5}+29$ 
C)  $-28 x^{12}$ 
D)  $2 x^{7}-37 x^{5}+29$

Question 7

Collect like terms.
-$-13 b^{7}+8 b^{6}-2 b^{5}+4 b^{7}-3 b^{6}$

Accepted Answer

A)  $-216 b$ 
B)  Can't be simplified 
C)  $-12 b^{18}$ 
D)  $-9 b^{7}+5 b^{6}-2 b^{5}$ 
A)  $-216 b$ 
B)  Can't be simplified 
C)  $-12 b^{18}$ 
D)  $-9 b^{7}+5 b^{6}-2 b^{5}$

Question 8

What is the meaning of the expression?
-$3^{6}$

Accepted Answer

A)  5 
B)  $3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3$ 
C)  36 
D)  $6 \cdot 3$ 
A)  5 
B)  $3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3$ 
C)  36 
D)  $6 \cdot 3$

Question 9

Multiply.
-$(0.2 \mathrm{x}+0.9)^{2}$

Accepted Answer

A)  $0.04 x^{2}+0.36 x+0.81$ 
B)  $0.04 x^{2}-0.36 x+0.81$ 
C)  $0.04 \mathrm{x}^{2}+0.81$ 
D)  $0.04 x^{2}-0.36 x-0.81$ 
A)  $0.04 x^{2}+0.36 x+0.81$ 
B)  $0.04 x^{2}-0.36 x+0.81$ 
C)  $0.04 \mathrm{x}^{2}+0.81$ 
D)  $0.04 x^{2}-0.36 x-0.81$

Question 10

Express using positive exponents. Then simplify.
-$(-5)^{-4}$

Accepted Answer

A)  625 
B)  -625 
C)  $\frac{1}{625}$ 
D)  $-\frac{1}{625}$ 
A)  625 
B)  -625 
C)  $\frac{1}{625}$ 
D)  $-\frac{1}{625}$

Question 11

Identify the coefficient of each term of the polynomial.
-$-9 \mathrm{a}-3 \mathrm{y}$

Accepted Answer

A)  -9 and -3 
B)  9 and -3 
C)  -9 and 3 
D)  9 and 3 
A)  -9 and -3 
B)  9 and -3 
C)  -9 and 3 
D)  9 and 3

Question 12

Multiply.
-$(-3 \mathrm{x}+4)(\mathrm{x}-1)$

Accepted Answer

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

Question 13

Identify the terms in the polynomial.
-$3 y^{11}-12 y^{2}-6 y$

Accepted Answer

A)  $3 y^{11}, 12 y^{2},-6 y$ 
B)  $3 y^{11},-12 y^{2}, 6 y$ 
C)  $3 y^{11},-12 y^{2},-6 y$ 
D)  $3, y^{11},-12, y^{2},-6, y$ 
A)  $3 y^{11}, 12 y^{2},-6 y$ 
B)  $3 y^{11},-12 y^{2}, 6 y$ 
C)  $3 y^{11},-12 y^{2},-6 y$ 
D)  $3, y^{11},-12, y^{2},-6, y$

Question 14

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.
-The speed of light is $1.86 \times 10^{5}$ miles per hour.

Accepted Answer

A)  $18,600,000$ 
B)  $1,860,000$ 
C)  186,000 
D)  0.0000186 
A)  $18,600,000$ 
B)  $1,860,000$ 
C)  186,000 
D)  0.0000186

Question 15

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 company produces 919,000 small appliances in one year.

Accepted Answer

A)  $91.9 \times 10^{4}$ 
B)  $9.19 \times 10^{5}$ 
C)  $9.19 \times 10^{-5}$ 
D)  $9.19 \times 10^{6}$ 
A)  $91.9 \times 10^{4}$ 
B)  $9.19 \times 10^{5}$ 
C)  $9.19 \times 10^{-5}$ 
D)  $9.19 \times 10^{6}$

Question 16

Write the number in scientific notation.
-0.000007064

Accepted Answer

A)  $7.064 \times 10^{-5}$ 
B)  $7.064 \times 10^{6}$ 
C)  $7.064 \times 10^{-7}$ 
D)  $7.064 \times 10^{-6}$ 
A)  $7.064 \times 10^{-5}$ 
B)  $7.064 \times 10^{6}$ 
C)  $7.064 \times 10^{-7}$ 
D)  $7.064 \times 10^{-6}$

Question 17

Subtract.
-$(-5 a-2 b-c)-(-6 b+6 c+7 d)$

Accepted Answer

A)  $-5 a+4 b-7 c-7 d$ 
B)  $-5 a+4 b-7 c+7 d$ 
C)  $-5 a+4 b-5 c-7 d$ 
D)  $-5 a+4 b+7 c+7 d$ 
A)  $-5 a+4 b-7 c-7 d$ 
B)  $-5 a+4 b-7 c+7 d$ 
C)  $-5 a+4 b-5 c-7 d$ 
D)  $-5 a+4 b+7 c+7 d$

Question 18

Find the degree of the polynomial.
-$z^{7} y+3-x^{7}+z^{6} x^{3}$

Accepted Answer

A)  3 
B)  7 
C)  8 
D)  9 
A)  3 
B)  7 
C)  8 
D)  9

Question 19

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

Accepted Answer

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

Question 20

Multiply.
-$\left(4 y^{5}+4 y^{3}\right)\left(2 y^{5}+5 y^{3}\right)$

Accepted Answer

A)  $8 y^{10}+28 y^{8}+20 y^{3}$ 
B)  $8 y^{25}+28 y^{15}+20 y^{9}$ 
C)  $8 y^{10}+28 y^{8}+20 y^{6}$ 
D)  $8 y^{10}+28 y^{8}+20 y^{9}$ 
A)  $8 y^{10}+28 y^{8}+20 y^{3}$ 
B)  $8 y^{25}+28 y^{15}+20 y^{9}$ 
C)  $8 y^{10}+28 y^{8}+20 y^{6}$ 
D)  $8 y^{10}+28 y^{8}+20 y^{9}$

Subtract. - $\left(-8 x^{4}+2 x^{6}-4-8 x^{5}\right)-\left(-6+2 x^{5}+7 x^{6}-2 x^{4}\right)$

Identify the degree of each term and the degree of the polynomial. - $5 \mathrm{x}-8 \mathrm{x}^{2}+8-5 \mathrm{x}^{3}$

Multiply and simplify. - $\left(x^{2} y^{2}\right)\left(x^{7} y\right)$

Evaluate the polynomial. - $2 x^{2}-y^{2}+2 x y$ for $x=-3$ and $y=-6$

Solve the problem. -Find a polynomial for the sum of the areas of these circles.

Subtract. -

Collect like terms. - $-13 b^{7}+8 b^{6}-2 b^{5}+4 b^{7}-3 b^{6}$

What is the meaning of the expression? - $3^{6}$

Multiply. - $(0.2 \mathrm{x}+0.9)^{2}$

Express using positive exponents. Then simplify. - $(-5)^{-4}$

Identify the coefficient of each term of the polynomial. - $-9 \mathrm{a}-3 \mathrm{y}$

Multiply. - $(-3 \mathrm{x}+4)(\mathrm{x}-1)$

Identify the terms in the polynomial. - $3 y^{11}-12 y^{2}-6 y$

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. -The speed of light is $1.86 \times 10^{5}$ miles per hour.

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 company produces 919,000 small appliances in one year.

Write the number in scientific notation. -0.000007064

Subtract. - $(-5 a-2 b-c)-(-6 b+6 c+7 d)$

Find the degree of the polynomial. - $z^{7} y+3-x^{7}+z^{6} x^{3}$

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

Multiply. - $\left(4 y^{5}+4 y^{3}\right)\left(2 y^{5}+5 y^{3}\right)$

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

Subtract. - (−8x4+2x6−4−8x5)−(−6+2x5+7x6−2x4)\left(-8 x^{4}+2 x^{6}-4-8 x^{5}\right)-\left(-6+2 x^{5}+7 x^{6}-2 x^{4}\right)(−8x4+2x6−4−8x5)−(−6+2x5+7x6−2x4)

Identify the degree of each term and the degree of the polynomial. - 5x−8x2+8−5x35 \mathrm{x}-8 \mathrm{x}^{2}+8-5 \mathrm{x}^{3}5x−8x2+8−5x3

Multiply and simplify. - (x2y2)(x7y)\left(x^{2} y^{2}\right)\left(x^{7} y\right)(x2y2)(x7y)

Evaluate the polynomial. - 2x2−y2+2xy2 x^{2}-y^{2}+2 x y2x2−y2+2xy for x=−3x=-3x=−3 and y=−6y=-6y=−6