Question 1

Collect like terms.
-$7 x^{5}-5 x^{5}+10$

Accepted Answer

A)  $10 x+10$ 
B)  Can't be simplified 
C)  $2 x^{5}+10$ 
D)  $2 x^{10}+10$ 
A)  $10 x+10$ 
B)  Can't be simplified 
C)  $2 x^{5}+10$ 
D)  $2 x^{10}+10$

Question 2

Multiply.
-$\left(\mathrm{c}+\frac{5}{3}\right)^{2}$

Accepted Answer

A)  $c^{2}+\frac{10}{3}$ 
B)  $c^{2}+\frac{10}{3} c+\frac{25}{9}$ 
C)  $c^{2}+\frac{25}{9}$ 
D)  $2 c+\frac{10}{3} c+\frac{10}{3}$ 
A)  $c^{2}+\frac{10}{3}$ 
B)  $c^{2}+\frac{10}{3} c+\frac{25}{9}$ 
C)  $c^{2}+\frac{25}{9}$ 
D)  $2 c+\frac{10}{3} c+\frac{10}{3}$

Question 3

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

Accepted Answer

A)  $\frac{9}{4 y^{2}}$ 
B)  $\frac{9}{4 y}$ 
C)  $\frac{9}{2 y^{2}}$ 
D)  $\frac{9 y^{2}}{4}$ 
A)  $\frac{9}{4 y^{2}}$ 
B)  $\frac{9}{4 y}$ 
C)  $\frac{9}{2 y^{2}}$ 
D)  $\frac{9 y^{2}}{4}$

Question 4

Multiply.
-$(a-b)\left(a^{2}-a b-9 b^{2}\right)$

Accepted Answer

A)  $a^{3}-8 a^{2} b+9 b^{3}$ 
B)  $a^{3}-2 a^{2} b-8 a b^{2}+9 b^{3}$ 
C)  $a^{3}-2 a^{2} b-10 a b^{2}-9 b^{3}$ 
D)  $a^{3}-2 a^{2} b-9 a b^{2}+9 b^{3}$ 
A)  $a^{3}-8 a^{2} b+9 b^{3}$ 
B)  $a^{3}-2 a^{2} b-8 a b^{2}+9 b^{3}$ 
C)  $a^{3}-2 a^{2} b-10 a b^{2}-9 b^{3}$ 
D)  $a^{3}-2 a^{2} b-9 a b^{2}+9 b^{3}$

Question 5

Express using positive exponents. Then simplify.
--5-4

Accepted Answer

A)  - 625 
B)  $\frac{1}{20}$ 
C)  $-\frac{1}{625}$ 
D)  625 
A)  - 625 
B)  $\frac{1}{20}$ 
C)  $-\frac{1}{625}$ 
D)  625

Question 6

Write the number in scientific notation.
-$17,000,000$

Accepted Answer

A)  $1.7 \times 10-8$ 
B)  $1.7 \times 10^{8}$ 
C)  $1.7 \times 10^{-7}$ 
D)  $1.7 \times 10^{7}$ 
A)  $1.7 \times 10-8$ 
B)  $1.7 \times 10^{8}$ 
C)  $1.7 \times 10^{-7}$ 
D)  $1.7 \times 10^{7}$

Question 7

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-The national debt of a country is $\$ 25,760,000,000$ and the population is $6,440,000$. What is the debt per person? Write answer without exponents.

Accepted Answer

A)  $\$ 165,894,400$ 
B)  $\$ 400$ 
C)  $\$ 40,000$ 
D)  $\$ 4000$ 
A)  $\$ 165,894,400$ 
B)  $\$ 400$ 
C)  $\$ 40,000$ 
D)  $\$ 4000$

Question 8

Multiply.
-$\left(x^{2}+0.7\right)\left(x^{2}-0.7\right)$

Accepted Answer

A)  $x^{2}-0.49$ 
B)  $x^{4}-0.49$ 
C)  $x^{4}+0.49$ 
D)  $x^{2}+0.49$ 
A)  $x^{2}-0.49$ 
B)  $x^{4}-0.49$ 
C)  $x^{4}+0.49$ 
D)  $x^{2}+0.49$

Question 9

Add.
-

Accepted Answer

A)  $14 x^{5}+3 x^{3}$ 
B)  $17 x^{8}$ 
C)  $17 x^{16}$ 
D)  $14 x^{10}+3 x^{6}$ 
A)  $14 x^{5}+3 x^{3}$ 
B)  $17 x^{8}$ 
C)  $17 x^{16}$ 
D)  $14 x^{10}+3 x^{6}$

Question 10

Write the number in scientific notation.
-158

Accepted Answer

A)  $1.58 \times 10^{3}$ 
B)  $1.58 \times 10^{1}$ 
C)  $1.58 \times 10^{-2}$ 
D)  $1.58 \times 10^{2}$ 
A)  $1.58 \times 10^{3}$ 
B)  $1.58 \times 10^{1}$ 
C)  $1.58 \times 10^{-2}$ 
D)  $1.58 \times 10^{2}$

Question 11

Draw and label rectangles to illustrate the given product.
-$x(x+3)$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Add.
-$(\mathrm{r}+5 \mathrm{~s}+1)+(-5 \mathrm{r}+\mathrm{s})+(\mathrm{s}-5)$

Accepted Answer

A)  $-4 r+6 s-4$ 
B)  $-4 r+7 s-4$ 
C)  $-5 r+5 s-4$ 
D)  $-6 r+7 s-4$ 
A)  $-4 r+6 s-4$ 
B)  $-4 r+7 s-4$ 
C)  $-5 r+5 s-4$ 
D)  $-6 r+7 s-4$

Question 13

Add.
-$\left(5-8 x^{6}+5 x^{8}+6 x^{7}\right)+\left(9 x^{7}+5 x^{6}-2+3 x^{8}\right)$

Accepted Answer

A)  $8 x^{16}+15 x^{14}-3 x^{12}+3$ 
B)  $14 x^{8}+14 x^{7}+3 x^{6}+9$ 
C)  $8 x^{8}+15 x^{7}-3 x^{6}+3$ 
D)  $20 x^{42}+3$ 
A)  $8 x^{16}+15 x^{14}-3 x^{12}+3$ 
B)  $14 x^{8}+14 x^{7}+3 x^{6}+9$ 
C)  $8 x^{8}+15 x^{7}-3 x^{6}+3$ 
D)  $20 x^{42}+3$

Question 14

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

Accepted Answer

A)  8 
B)  4 
C)  6 
D)  3 
A)  8 
B)  4 
C)  6 
D)  3

Question 15

Solve the problem.
-The polynomial $0.041 \mathrm{~h}-0.018 \mathrm{~A}-2.69$ can be used to estimate the lung capacity, in liters, of a female with height $\mathrm{h} \mathrm{cm}$ and age A years. Find the lung capacity of a 20 -year-old woman who is $164 \mathrm{~cm}$ tall. Round to the nearest liter.

Accepted Answer

A)  -5 liters 
B)  61 liters 
C)  10 liters 
D)  4 liters 
A)  -5 liters 
B)  61 liters 
C)  10 liters 
D)  4 liters

Question 16

Evaluate the polynomial.
-$x^{2}+2 y^{2}-3 x y$ for $x=4$ and $y=5$

Accepted Answer

A)  66 
B)  126 
C)  6 
D)  -54 
A)  66 
B)  126 
C)  6 
D)  -54

Question 17

Evaluate.
-$(-10)^{0}$

Accepted Answer

A)  -1 
B)  0 
C)  -10 
D)  1 
A)  -1 
B)  0 
C)  -10 
D)  1

Question 18

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

Accepted Answer

A)  $4 x^{10}+16 x^{5}+16$ 
B)  $4 x^{10}+8 x^{5}+16$ 
C)  $4 x^{25}+16 x^{5}+16$ 
D)  $4 x^{10}+16$ 
A)  $4 x^{10}+16 x^{5}+16$ 
B)  $4 x^{10}+8 x^{5}+16$ 
C)  $4 x^{25}+16 x^{5}+16$ 
D)  $4 x^{10}+16$

Question 19

Identify the missing terms in the polynomial.
-$7 x^{3}-7 x^{2}+x+-6$

Accepted Answer

A)  $x^{4}$-term 
B)  $x$-term 
C)  $x^{4}$-term, $x^{2}$-term, $x$-term 
D)  None 
A)  $x^{4}$-term 
B)  $x$-term 
C)  $x^{4}$-term, $x^{2}$-term, $x$-term 
D)  None

Question 20

Divide
-$\frac{36 w^{3}}{6 w^{2}}$

Accepted Answer

A)  $\frac{w^{5}}{6}$ 
B)  $\frac{1}{6}$ 
C)  $6 \mathrm{w}$ 
D)  $\frac{w}{36}$ 
A)  $\frac{w^{5}}{6}$ 
B)  $\frac{1}{6}$ 
C)  $6 \mathrm{w}$ 
D)  $\frac{w}{36}$

Collect like terms. - $7 x^{5}-5 x^{5}+10$

Multiply. - $\left(\mathrm{c}+\frac{5}{3}\right)^{2}$

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

Multiply. - $(a-b)\left(a^{2}-a b-9 b^{2}\right)$

Express using positive exponents. Then simplify. --5^-4

Write the number in scientific notation. - $17,000,000$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a country is $\$ 25,760,000,000$ and the population is $6,440,000$ . What is the debt per person? Write answer without exponents.

Multiply. - $\left(x^{2}+0.7\right)\left(x^{2}-0.7\right)$

Add. -

Write the number in scientific notation. -158

Draw and label rectangles to illustrate the given product. - $x(x+3)$

Add. - $(\mathrm{r}+5 \mathrm{~s}+1)+(-5 \mathrm{r}+\mathrm{s})+(\mathrm{s}-5)$

Add. - $\left(5-8 x^{6}+5 x^{8}+6 x^{7}\right)+\left(9 x^{7}+5 x^{6}-2+3 x^{8}\right)$

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

Evaluate the polynomial. - $x^{2}+2 y^{2}-3 x y$ for $x=4$ and $y=5$

Evaluate. - $(-10)^{0}$

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

Identify the missing terms in the polynomial. - $7 x^{3}-7 x^{2}+x+-6$

Divide - $\frac{36 w^{3}}{6 w^{2}}$

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

Collect like terms. - 7x5−5x5+107 x^{5}-5 x^{5}+107x5−5x5+10

Multiply. - (c+53)2\left(\mathrm{c}+\frac{5}{3}\right)^{2}(c+35​)2

Simplify. - (32y)2\left(\frac{3}{2 y}\right)^{2}(2y3​)2

Multiply. - (a−b)(a2−ab−9b2)(a-b)\left(a^{2}-a b-9 b^{2}\right)(a−b)(a2−ab−9b2)

Express using positive exponents. Then simplify. --5-4

Write the number in scientific notation. - 17,000,00017,000,00017,000,000

Multiply. - (x2+0.7)(x2−0.7)\left(x^{2}+0.7\right)\left(x^{2}-0.7\right)(x2+0.7)(x2−0.7)