Question 1

Find the degree of the polynomial.
-$x^{5}+y^{4}-3 x^{3} y$

Accepted Answer

A)  6 
B)  13 
C)  5 
D)  4 
A)  6 
B)  13 
C)  5 
D)  4

Question 2

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$17 z^{5}+9 z^{4}+5 z^{3}+12$

Accepted Answer

A)  Trinomial, degree 12 
B)  None, degree 5 
C)  Trinomial, degree 5 
D)  Binomial, degree 13 
A)  Trinomial, degree 12 
B)  None, degree 5 
C)  Trinomial, degree 5 
D)  Binomial, degree 13

Question 3

Multiply.
-$\left(\mathrm{c}+\frac{5}{9}\right)^{2}$

Accepted Answer

A)  $c^{2}+\frac{10}{9}$ 
B)  $c^{2}+\frac{25}{81}$ 
C)  $2 c+\frac{10}{9} \mathrm{c}+\frac{10}{9}$ 
D)  $c^{2}+\frac{10}{9} c+\frac{25}{81}$ 
A)  $c^{2}+\frac{10}{9}$ 
B)  $c^{2}+\frac{25}{81}$ 
C)  $2 c+\frac{10}{9} \mathrm{c}+\frac{10}{9}$ 
D)  $c^{2}+\frac{10}{9} c+\frac{25}{81}$

Question 4

Evaluate.
-$y^{13}$ when $y=1$

Accepted Answer

A)  0 
B)  1 
C)  - 1 
D)  13 
A)  0 
B)  1 
C)  - 1 
D)  13

Question 5

Write the polynomial in two ways: with its missing terms and by leaving space for them.
-$7 x^{4}-2 x^{2}+3 x$

Accepted Answer

A)  $7 x^{4}+0 x^{3}-2 x^{2}+3 x+0$
$7 x^{4}-2 x^{2}+3 x$ 
B)  $\begin{aligned} & 7 x^{4}+0 x^{3}-2 x^{2}+3 x \ & 7 x^{4}-2 x^{2}+3 x\end{aligned}$ 
C)  $7 x^{4}-2 x^{2}+3 x+0$
$7 x^{4}-2 x^{2}+3 x$ 
D) $7 x^{4}+0X^{3}+2 x^{2}+3 x+0$
$7 x^{4}-2 x^{2}+3 x$ 
A)  $7 x^{4}+0 x^{3}-2 x^{2}+3 x+0$
$7 x^{4}-2 x^{2}+3 x$ 
B)  $\begin{aligned} & 7 x^{4}+0 x^{3}-2 x^{2}+3 x \ & 7 x^{4}-2 x^{2}+3 x\end{aligned}$ 
C)  $7 x^{4}-2 x^{2}+3 x+0$
$7 x^{4}-2 x^{2}+3 x$ 
D) $7 x^{4}+0X^{3}+2 x^{2}+3 x+0$
$7 x^{4}-2 x^{2}+3 x$

Question 6

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-If the distance from the earth to the sun were $90,000,000$ miles. How long would it take a rocket, traveling at $2.2 \times 10^{3}$ miles per hour, to reach the sun? (Round to three places)

Accepted Answer

A)  $4.091 \times 10^{3} \mathrm{hr}$ 
B)  $4.091 \times 10^{2} \mathrm{hr}$ 
C)  $4.091 \mathrm{hr}$ 
D)  $4.091 \times 10^{4} \mathrm{hr}$ 
A)  $4.091 \times 10^{3} \mathrm{hr}$ 
B)  $4.091 \times 10^{2} \mathrm{hr}$ 
C)  $4.091 \mathrm{hr}$ 
D)  $4.091 \times 10^{4} \mathrm{hr}$

Question 7

Convert to decimal notation.
-$10^{7}$

Accepted Answer

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

Question 8

Multiply.
-$\left(x^{2}-0.4\right)\left(x^{2}+0.4\right)$

Accepted Answer

A)  $x^{4}-0.16$ 
B)  $x^{4}+0.16$ 
C)  $x^{2}+0.16$ 
D)  $x^{2}-0.16$ 
A)  $x^{4}-0.16$ 
B)  $x^{4}+0.16$ 
C)  $x^{2}+0.16$ 
D)  $x^{2}-0.16$

Question 9

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

Accepted Answer

A)  $16 x^{2}+24 x-9$ 
B)  $16 x^{2}-9$ 
C)  $4 x^{2}+24 x-9$ 
D)  $16 x^{2}-24 x-9$ 
A)  $16 x^{2}+24 x-9$ 
B)  $16 x^{2}-9$ 
C)  $4 x^{2}+24 x-9$ 
D)  $16 x^{2}-24 x-9$

Question 10

Multiply.
-$(2 p-1)\left(4 p^{2}+2 p+1\right)$

Accepted Answer

A)  $8 p^{3}-1$ 
B)  $4 p^{3}-1$ 
C)  $8 p^{3}+6 p^{2}-1$ 
D)  $8 p^{3}+1$ 
A)  $8 p^{3}-1$ 
B)  $4 p^{3}-1$ 
C)  $8 p^{3}+6 p^{2}-1$ 
D)  $8 p^{3}+1$

Question 11

Multiply mentally.
-$\left(4 x^{2}+8\right)(x-3)$

Accepted Answer

A)  $4 x^{2}-4 x-24$ 
B)  $4 x^{3}-12 x^{2}+8 x-24$ 
C)  $4 x^{3}-4 x-24$ 
D)  $4 x^{2}-5 x-24$ 
A)  $4 x^{2}-4 x-24$ 
B)  $4 x^{3}-12 x^{2}+8 x-24$ 
C)  $4 x^{3}-4 x-24$ 
D)  $4 x^{2}-5 x-24$

Question 12

What is the meaning of the expression?
-0.073

Accepted Answer

A)  0.000512 
B)  $3 \cdot 0.07$ 
C)  0.00002401 
D)  $0.07 \cdot 0.07 \cdot 0.07$ 
A)  0.000512 
B)  $3 \cdot 0.07$ 
C)  0.00002401 
D)  $0.07 \cdot 0.07 \cdot 0.07$

Question 13

Add.
-$(10 s+18 t)+(17 t-8 s)$

Accepted Answer

A)  $37 \mathrm{st}$ 
B)  $18 \mathrm{~s}+35 \mathrm{t}$ 
C)  $2 \mathrm{~s}+35 \mathrm{t}$ 
D)  $27 \mathrm{~s}+10$ 
A)  $37 \mathrm{st}$ 
B)  $18 \mathrm{~s}+35 \mathrm{t}$ 
C)  $2 \mathrm{~s}+35 \mathrm{t}$ 
D)  $27 \mathrm{~s}+10$

Question 14

Perform the division.
-$\frac{-16 x^{3}-4 x^{2}-6 x-9}{4 x+3}$

Accepted Answer

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

Question 15

Divide.
-$\frac{36 x^{2}-28 x+5}{4}$

Accepted Answer

A)  $9 x-7+\frac{5}{4}$ 
B)  $36 x^{2}-28 x+5$ 
C)  $9 x^{2}-7 x+\frac{5}{4}$ 
D)  $9 x^{2}-28 x+5$ 
A)  $9 x-7+\frac{5}{4}$ 
B)  $36 x^{2}-28 x+5$ 
C)  $9 x^{2}-7 x+\frac{5}{4}$ 
D)  $9 x^{2}-28 x+5$

Question 16

Choose the one alternative that best completes the statement or answers the question.
-Tell whether or not the number is given in scientific notation. $78.92 \times 10^{6}$

Accepted Answer

A) True 
 B)False

Question 17

Evaluate.
-$y^{1}-5$, when $y=-5$

Accepted Answer

A)  -10 
B)  -5 
C)  20 
D)  0 
A)  -10 
B)  -5 
C)  20 
D)  0

Question 18

Write the number in scientific notation.
-0.000603

Accepted Answer

A)  $6.03 \times 10^{-4}$ 
B)  $6.03 \times 10^{-5}$ 
C)  $6.03 \times 10^{-3}$ 
D)  $6.03 \times 10^{4}$ 
A)  $6.03 \times 10^{-4}$ 
B)  $6.03 \times 10^{-5}$ 
C)  $6.03 \times 10^{-3}$ 
D)  $6.03 \times 10^{4}$

Question 19

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 population of a small country is $3,302,000$.

Accepted Answer

A)  $3.302 \times 10^{-5}$ 
B)  $3.302 \times 10^{5}$ 
C)  $3.302 \times 10^{4}$ 
D)  $3.302 \times 10^{6}$ 
A)  $3.302 \times 10^{-5}$ 
B)  $3.302 \times 10^{5}$ 
C)  $3.302 \times 10^{4}$ 
D)  $3.302 \times 10^{6}$

Question 20

Simplify.
-$\left(-2 x^{4} y\right)^{3}$

Accepted Answer

A)  $-6 x^{4} y$ 
B)  $(-2)^{3} x^{7} y^{3}$ 
C)  $-6 x^{4} y^{3}$ 
D)  $(-2)^{3} x^{12} y^{3}$ 
A)  $-6 x^{4} y$ 
B)  $(-2)^{3} x^{7} y^{3}$ 
C)  $-6 x^{4} y^{3}$ 
D)  $(-2)^{3} x^{12} y^{3}$

Find the degree of the polynomial. - $x^{5}+y^{4}-3 x^{3} y$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $17 z^{5}+9 z^{4}+5 z^{3}+12$

Multiply. - $\left(\mathrm{c}+\frac{5}{9}\right)^{2}$

Evaluate. - $y^{13}$ when $y=1$

Write the polynomial in two ways: with its missing terms and by leaving space for them. - $7 x^{4}-2 x^{2}+3 x$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -If the distance from the earth to the sun were $90,000,000$ miles. How long would it take a rocket, traveling at $2.2 \times 10^{3}$ miles per hour, to reach the sun? (Round to three places)

Convert to decimal notation. - $10^{7}$

Multiply. - $\left(x^{2}-0.4\right)\left(x^{2}+0.4\right)$

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

Multiply. - $(2 p-1)\left(4 p^{2}+2 p+1\right)$

Multiply mentally. - $\left(4 x^{2}+8\right)(x-3)$

What is the meaning of the expression? -0.073

Add. - $(10 s+18 t)+(17 t-8 s)$

Perform the division. - $\frac{-16 x^{3}-4 x^{2}-6 x-9}{4 x+3}$

Divide. - $\frac{36 x^{2}-28 x+5}{4}$

Choose the one alternative that best completes the statement or answers the question. -Tell whether or not the number is given in scientific notation. $78.92 \times 10^{6}$

Evaluate. - $y^{1}-5$ , when $y=-5$

Write the number in scientific notation. -0.000603

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 population of a small country is $3,302,000$ .

Simplify. - $\left(-2 x^{4} y\right)^{3}$

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

Find the degree of the polynomial. - x5+y4−3x3yx^{5}+y^{4}-3 x^{3} yx5+y4−3x3y

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - 17z5+9z4+5z3+1217 z^{5}+9 z^{4}+5 z^{3}+1217z5+9z4+5z3+12

Multiply. - (c+59)2\left(\mathrm{c}+\frac{5}{9}\right)^{2}(c+95​)2

Evaluate. - y13y^{13}y13 when y=1y=1y=1

Write the polynomial in two ways: with its missing terms and by leaving space for them. - 7x4−2x2+3x7 x^{4}-2 x^{2}+3 x7x4−2x2+3x

Convert to decimal notation. - 10710^{7}107

Multiply. - (x2−0.4)(x2+0.4)\left(x^{2}-0.4\right)\left(x^{2}+0.4\right)(x2−0.4)(x2+0.4)

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

Multiply. - (2p−1)(4p2+2p+1)(2 p-1)\left(4 p^{2}+2 p+1\right)(2p−1)(4p2+2p+1)

Multiply mentally. - (4x2+8)(x−3)\left(4 x^{2}+8\right)(x-3)(4x2+8)(x−3)