Question 1

Multiply.
-$9 x(-10 x-11)$

Accepted Answer

A)  $-189 x^{2}$ 
B)  $-10 x^{2}-99 x$ 
C)  $-90 x^{2}-11 x$ 
D)  $-90 x^{2}-99 x$ 
A)  $-189 x^{2}$ 
B)  $-10 x^{2}-99 x$ 
C)  $-90 x^{2}-11 x$ 
D)  $-90 x^{2}-99 x$

Question 2

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$14 s^{6}-2 s-3$

Accepted Answer

A)  Trinomial, degree 7 
B)  Binomial, degree 7 
C)  Trinomial, degree 8 
D)  Trinomial, degree 6 
A)  Trinomial, degree 7 
B)  Binomial, degree 7 
C)  Trinomial, degree 8 
D)  Trinomial, degree 6

Question 3

Solve the problem.
-An object's altitude, in meters, is given by the polynomial $\mathrm{h}+\mathrm{vt}-4.9 \mathrm{t}^{2}$, where $\mathrm{h}$ is the height in meters from which the launch occurs, $v$ is the initial upward speed in meters per second, and $t$ is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 171 meters tall. If the initial speed is 35 meters per second, how high above the ground will the pebble be after 3 seconds? Round results to the nearest tenth of a meter.

Accepted Answer

A)  261.3 meters 
B)  320.1 meters 
C)  231.9 meters 
D)  503.9 meters 
A)  261.3 meters 
B)  320.1 meters 
C)  231.9 meters 
D)  503.9 meters

Question 4

Subtract.
-$(2 \mathrm{a}+2 \mathrm{~b}-\mathrm{c})-(8 \mathrm{~b}+4 \mathrm{c}+6 \mathrm{~d})$

Accepted Answer

A)  $2 a-6 b+5 c+6 d$ 
B)  $2 a-6 b-3 c-6 d$ 
C)  $2 a-6 b-5 c+6 d$ 
D)  $2 a-6 b-5 c-6 d$ 
A)  $2 a-6 b+5 c+6 d$ 
B)  $2 a-6 b-3 c-6 d$ 
C)  $2 a-6 b-5 c+6 d$ 
D)  $2 a-6 b-5 c-6 d$

Question 5

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-A computer can do one calculation in $1.4 \times 10^{-7}$ seconds. How long would it take the computer to do a trillion $\left(10^{12}\right)$ calculations?

Accepted Answer

A)  $1.4 \times 10^{-7} \mathrm{sec}$ 
B)  $1.4 \times 10^{12} \mathrm{sec}$ 
C)  $1.4 \times 10^{6} \mathrm{sec}$ 
D)  $1.4 \times 10^{5} \mathrm{sec}$ 
A)  $1.4 \times 10^{-7} \mathrm{sec}$ 
B)  $1.4 \times 10^{12} \mathrm{sec}$ 
C)  $1.4 \times 10^{6} \mathrm{sec}$ 
D)  $1.4 \times 10^{5} \mathrm{sec}$

Question 6

Multiply.
-$(8 x-7 y)^{2}$

Accepted Answer

A)  $64 x^{2}+49 y^{2}$ 
B)  $8 x^{2}+49 y^{2}$ 
C)  $64 x^{2}-112 x y+49 y^{2}$ 
D)  $8 x^{2}-112 x y+49 y^{2}$ 
A)  $64 x^{2}+49 y^{2}$ 
B)  $8 x^{2}+49 y^{2}$ 
C)  $64 x^{2}-112 x y+49 y^{2}$ 
D)  $8 x^{2}-112 x y+49 y^{2}$

Question 7

Arrange the polynomial in descending order.
-$9-7 x^{2}+6 x^{6}+4 x^{3}+x$

Accepted Answer

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

Question 8

Divide and simplify.
-$\frac{\mathrm{p}^{3}}{\mathrm{p}^{-4}}$

Accepted Answer

A)  $p^{-7}$ 
B)  $p^{-1}$ 
C)  $p^{7}$ 
D)  $\frac{1}{\mathrm{p}^{7}}$ 
A)  $p^{-7}$ 
B)  $p^{-1}$ 
C)  $p^{7}$ 
D)  $\frac{1}{\mathrm{p}^{7}}$

Question 9

Divide and simplify.
-$\frac{t^{9}}{t}$

Accepted Answer

A)  $t^{9}$ 
B)  $\mathrm{t}$ 
C)  $\mathrm{t}^{8}$ 
D)  $\frac{1}{t^{8}}$ 
A)  $t^{9}$ 
B)  $\mathrm{t}$ 
C)  $\mathrm{t}^{8}$ 
D)  $\frac{1}{t^{8}}$

Question 10

Express the following using negative exponents.
-$\frac{1}{t^{12}}$

Accepted Answer

A)  $12^{t}$ 
B)  $12^{-\mathrm{t}}$ 
C)  $t^{12}$ 
D)  $t^{-12}$ 
A)  $12^{t}$ 
B)  $12^{-\mathrm{t}}$ 
C)  $t^{12}$ 
D)  $t^{-12}$

Question 11

Multiply mentally
-$(-7+3 x)(7+3 x)$

Accepted Answer

A)  $9 x^{2}+42 x-49$ 
B)  $9 x^{2}-42 x-49$ 
C)  $x^{2}-49$ 
D)  $9 x^{2}-49$ 
A)  $9 x^{2}+42 x-49$ 
B)  $9 x^{2}-42 x-49$ 
C)  $x^{2}-49$ 
D)  $9 x^{2}-49$

Question 12

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

Accepted Answer

A)  $z^{2}+36$ 
B)  $z^{2}+12 z+36$ 
C)  $12 z$ 
D)  12 
A)  $z^{2}+36$ 
B)  $z^{2}+12 z+36$ 
C)  $12 z$ 
D)  12

Question 13

Simplify.
-$-2\left(x^{-5} y-1\right)-4$

Accepted Answer

A)  $(-2)^{4} \mathrm{x}^{20} \mathrm{y}^{4}$ 
B)  $\frac{-2}{x^{20} y^{4}}$ 
C)  $-2 x^{20} y^{4}$ 
D)  $\frac{x^{20} y^{4}}{(-2)^{4}}$ 
A)  $(-2)^{4} \mathrm{x}^{20} \mathrm{y}^{4}$ 
B)  $\frac{-2}{x^{20} y^{4}}$ 
C)  $-2 x^{20} y^{4}$ 
D)  $\frac{x^{20} y^{4}}{(-2)^{4}}$

Question 14

Multiply or divide and write scientific notation for the result.
-$\frac{8.96 \times 10^{4}}{3.2 \times 10^{3}}$

Accepted Answer

A)  $5.6 \times 10^{7}$ 
B)  $5.6 \times 10^{1}$ 
C)  $2.8 \times 10^{1}$ 
D)  $2.8 \times 10^{7}$ 
A)  $5.6 \times 10^{7}$ 
B)  $5.6 \times 10^{1}$ 
C)  $2.8 \times 10^{1}$ 
D)  $2.8 \times 10^{7}$

Question 15

Evaluate the polynomial.
-$-6 x^{3}-2 x^{2}+40$, when $x=2$

Accepted Answer

A)  -12 
B)  -26 
C)  -28 
D)  -16 
A)  -12 
B)  -26 
C)  -28 
D)  -16

Question 16

Multiply mentally
-$(5 p-1)\left(25 p^{2}+5 p+1\right)$

Accepted Answer

A)  $125 p^{3}+1$ 
B)  $25 p^{3}-1$ 
C)  $125 p^{3}-1$ 
D)  $125 p^{3}+30 p^{2}-1$ 
A)  $125 p^{3}+1$ 
B)  $25 p^{3}-1$ 
C)  $125 p^{3}-1$ 
D)  $125 p^{3}+30 p^{2}-1$

Question 17

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

Accepted Answer

A)  $(-2)^{5} \mathrm{a} 10$ 
B)  $-10 a^{2}$ 
C)  $(-2)^{10} a_{a} 10$ 
D)  $(-2)^{10} a^{2}$ 
A)  $(-2)^{5} \mathrm{a} 10$ 
B)  $-10 a^{2}$ 
C)  $(-2)^{10} a_{a} 10$ 
D)  $(-2)^{10} a^{2}$

Question 18

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$13 c^{4}+9 c^{3}-5 c^{2}$

Accepted Answer

A)  Trinomial, degree 4 
B)  Binomial, degree 3 
C)  Trinomial, degree 9 
D)  Binomial, degree 9 
A)  Trinomial, degree 4 
B)  Binomial, degree 3 
C)  Trinomial, degree 9 
D)  Binomial, degree 9

Question 19

Collect like terms and then arrange in descending order.
-$4 x^{4}+3 x^{6}-7 x+9 x^{6}+2 x-8 x^{4}$

Accepted Answer

A)  $3 x^{11}$ 
B)  $12 x^{6}-4 x^{4}-5 x$ 
C)  $12 x-4 x^{6}-5 x^{4}$ 
D)  $5 x^{6}+13 x^{4}-15 x$ 
A)  $3 x^{11}$ 
B)  $12 x^{6}-4 x^{4}-5 x$ 
C)  $12 x-4 x^{6}-5 x^{4}$ 
D)  $5 x^{6}+13 x^{4}-15 x$

Question 20

Identify the coefficient of each term of the polynomial.
-$-5 a-7 y$

Accepted Answer

A)  5 and 7 
B)  5 and -7 
C)  -5 and 7 
D)  -5 and -7 
A)  5 and 7 
B)  5 and -7 
C)  -5 and 7 
D)  -5 and -7

Multiply. - $9 x(-10 x-11)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $14 s^{6}-2 s-3$

Subtract. - $(2 \mathrm{a}+2 \mathrm{~b}-\mathrm{c})-(8 \mathrm{~b}+4 \mathrm{c}+6 \mathrm{~d})$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -A computer can do one calculation in $1.4 \times 10^{-7}$ seconds. How long would it take the computer to do a trillion $\left(10^{12}\right)$ calculations?

Multiply. - $(8 x-7 y)^{2}$

Arrange the polynomial in descending order. - $9-7 x^{2}+6 x^{6}+4 x^{3}+x$

Divide and simplify. - $\frac{\mathrm{p}^{3}}{\mathrm{p}^{-4}}$

Divide and simplify. - $\frac{t^{9}}{t}$

Express the following using negative exponents. - $\frac{1}{t^{12}}$

Multiply mentally - $(-7+3 x)(7+3 x)$

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

Simplify. - $-2\left(x^{-5} y-1\right)-4$

Multiply or divide and write scientific notation for the result. - $\frac{8.96 \times 10^{4}}{3.2 \times 10^{3}}$

Evaluate the polynomial. - $-6 x^{3}-2 x^{2}+40$ , when $x=2$

Multiply mentally - $(5 p-1)\left(25 p^{2}+5 p+1\right)$

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

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $13 c^{4}+9 c^{3}-5 c^{2}$

Collect like terms and then arrange in descending order. - $4 x^{4}+3 x^{6}-7 x+9 x^{6}+2 x-8 x^{4}$

Identify the coefficient of each term of the polynomial. - $-5 a-7 y$

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. - 9x(−10x−11)9 x(-10 x-11)9x(−10x−11)

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - 14s6−2s−314 s^{6}-2 s-314s6−2s−3

Subtract. - (2a+2 b−c)−(8 b+4c+6 d)(2 \mathrm{a}+2 \mathrm{~b}-\mathrm{c})-(8 \mathrm{~b}+4 \mathrm{c}+6 \mathrm{~d})(2a+2 b−c)−(8 b+4c+6 d)

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -A computer can do one calculation in 1.4×10−71.4 \times 10^{-7}1.4×10−7 seconds. How long would it take the computer to do a trillion (1012)\left(10^{12}\right)(1012) calculations?

Multiply. - (8x−7y)2(8 x-7 y)^{2}(8x−7y)2

Arrange the polynomial in descending order. - 9−7x2+6x6+4x3+x9-7 x^{2}+6 x^{6}+4 x^{3}+x9−7x2+6x6+4x3+x

Divide and simplify. - p3p−4\frac{\mathrm{p}^{3}}{\mathrm{p}^{-4}}p−4p3​

Divide and simplify. - t9t\frac{t^{9}}{t}tt9​

Express the following using negative exponents. - 1t12\frac{1}{t^{12}}t121​

Multiply mentally - (−7+3x)(7+3x)(-7+3 x)(7+3 x)(−7+3x)(7+3x)