Question 1

Evaluate the polynomial.
-$-3 x^{2}+4 x-8$, when $x=0$

Accepted Answer

A)  4 
B)  -3 
C)  0 
D)  -8 
A)  4 
B)  -3 
C)  0 
D)  -8

Question 2

Compute each expression and compare.
-$8^{2}-3^{2} ;(8-3)^{2}$

Accepted Answer

A)  10 ; 25 ; square of difference is greater than difference of squares 
B)  10; 10; both are equal 
C)  55 ; 10; difference of squares is greater than square of difference 
D)  $55 ; 25$; difference of squares is greater than square of difference 
A)  10 ; 25 ; square of difference is greater than difference of squares 
B)  10; 10; both are equal 
C)  55 ; 10; difference of squares is greater than square of difference 
D)  $55 ; 25$; difference of squares is greater than square of difference

Question 3

Divide
-$\left(10 x^{7}-12 x^{4}+14 x^{2}\right) \div\left(2 x^{2}\right)$

Accepted Answer

A)  $10 x^{5}-12 x^{2}+14$ 
B)  $5 x^{7}-6 x^{4}+7 x^{2}$ 
C)  $5 x^{5}-12 x^{4}+14 x^{2}$ 
D)  $5 x^{5}-6 x^{2}+7$ 
A)  $10 x^{5}-12 x^{2}+14$ 
B)  $5 x^{7}-6 x^{4}+7 x^{2}$ 
C)  $5 x^{5}-12 x^{4}+14 x^{2}$ 
D)  $5 x^{5}-6 x^{2}+7$

Question 4

Multiply.
-$(2 x-12)(2 x+12)$

Accepted Answer

A)  $4 x^{2}-144$ 
B)  $4 x^{2}-48 x-144$ 
C)  $4 x^{2}+48 x-144$ 
D)  $2 x^{2}+48 x-144$ 
A)  $4 x^{2}-144$ 
B)  $4 x^{2}-48 x-144$ 
C)  $4 x^{2}+48 x-144$ 
D)  $2 x^{2}+48 x-144$

Question 5

Multiply.
-$(2 x+7)(2 x+7)$

Accepted Answer

A)  $4 x^{2}+49 x+28$ 
B)  $4 x^{2}+28 x+49$ 
C)  $2 x^{2}+27 x+49$ 
D)  $2 x^{2}+28 x+27$ 
A)  $4 x^{2}+49 x+28$ 
B)  $4 x^{2}+28 x+49$ 
C)  $2 x^{2}+27 x+49$ 
D)  $2 x^{2}+28 x+27$

Question 6

Solve the problem.
-Find a polynomial for the perimeter of the figure.

Accepted Answer

A)  $26 z+14$ 
B)  $26 z+7$ 
C)  $40 \mathrm{z}$ 
D)  $22 z+14$ 
A)  $26 z+14$ 
B)  $26 z+7$ 
C)  $40 \mathrm{z}$ 
D)  $22 z+14$

Question 7

Express using positive exponents. Then simplify.
-(-3)-4

Accepted Answer

A)  -81 
B)  81 
C)  $\frac{1}{81}$ 
D)  $-\frac{1}{81}$ 
A)  -81 
B)  81 
C)  $\frac{1}{81}$ 
D)  $-\frac{1}{81}$

Question 8

Evaluate the polynomial.
-$y z+x y-z$ for $x=2, y=4$, and $z=4$

Accepted Answer

A)  4 
B)  24 
C)  28 
D)  20 
A)  4 
B)  24 
C)  28 
D)  20

Question 9

Collect like terms and then arrange in descending order.
-$-4 x^{6}+3 x^{8}+7 x^{7}+7 x^{6}+6 x^{7}+5 x^{8}$

Accepted Answer

A)  $8 x^{16}+13 x^{14}+3 x^{12}$ 
B)  $8 x^{8}+13 x^{7}+3 x^{6}$ 
C)  $24 x^{42}$ 
D)  $-3 x^{8}-3 x^{7}+5 x^{6}$ 
A)  $8 x^{16}+13 x^{14}+3 x^{12}$ 
B)  $8 x^{8}+13 x^{7}+3 x^{6}$ 
C)  $24 x^{42}$ 
D)  $-3 x^{8}-3 x^{7}+5 x^{6}$

Question 10

Add.
-($6 s+8 t)+(18 t-4 s)$

Accepted Answer

A)  $24 \mathrm{~s}+4$ 
B)  $10 s+26 t$ 
C)  $28 \mathrm{st}$ 
D)  $2 s+26 t$ 
A)  $24 \mathrm{~s}+4$ 
B)  $10 s+26 t$ 
C)  $28 \mathrm{st}$ 
D)  $2 s+26 t$

Question 11

Evaluate.
-$m^{2}$ when $m=17$

Accepted Answer

A)  578 
B)  19 
C)  289 
D)  34 
A)  578 
B)  19 
C)  289 
D)  34

Question 12

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

Accepted Answer

A)  $n^{2}+2 n+32$ 
B)  $n^{2}-32$ 
C)  $n^{2}$ 
D)  $n^{2}+32$ 
A)  $n^{2}+2 n+32$ 
B)  $n^{2}-32$ 
C)  $n^{2}$ 
D)  $n^{2}+32$

Question 13

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$12 y^{4}-2 y^{3}+1$

Accepted Answer

A)  Trinomial, degree 4 
B)  Trinomial, degree 7 
C)  Trinomial, degree 8 
D)  Binomial, degree 4 
A)  Trinomial, degree 4 
B)  Trinomial, degree 7 
C)  Trinomial, degree 8 
D)  Binomial, degree 4

Question 14

Simplify.
-$\left(\frac{a^{4}}{b^{5}}\right)^{3}$

Accepted Answer

A)  $\frac{a^{12}}{b^{15}}$ 
B)  $\frac{a^{12}}{b^{5}}$ 
C)  $\frac{a^{5}}{b^{15}}$ 
D)  $\frac{a^{15}}{b^{12}}$ 
A)  $\frac{a^{12}}{b^{15}}$ 
B)  $\frac{a^{12}}{b^{5}}$ 
C)  $\frac{a^{5}}{b^{15}}$ 
D)  $\frac{a^{15}}{b^{12}}$

Question 15

Multiply.
-$(w-z)\left(w^{2}+z^{2}+5 w z\right)$

Accepted Answer

A)  $w^{3}-5 w z^{2}+5 w^{2} z-z^{3}$ 
B)  $w^{3}+4 w z^{2}-4 w^{2} z-z^{3}$ 
C)  $w^{3}-4 w z^{2}+4 w^{2} z-z^{3}$ 
D)  $w^{3}+5 w z^{2}-5 w^{2} z-z^{3}$ 
A)  $w^{3}-5 w z^{2}+5 w^{2} z-z^{3}$ 
B)  $w^{3}+4 w z^{2}-4 w^{2} z-z^{3}$ 
C)  $w^{3}-4 w z^{2}+4 w^{2} z-z^{3}$ 
D)  $w^{3}+5 w z^{2}-5 w^{2} z-z^{3}$

Question 16

Convert to decimal notation.
-$7.67 \times 10^{4}$

Accepted Answer

A)  306.8 
B)  7670 
C)  76,700 
D)  767,000 
A)  306.8 
B)  7670 
C)  76,700 
D)  767,000

Question 17

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

Accepted Answer

A)  $-16 x^{9}-32 x^{8}$ 
B)  $-16 x^{9}+32 x^{8}$ 
C)  $-16 x^{2}-32 x$ 
D)  $-16 x^{9}-4 x^{6}$ 
A)  $-16 x^{9}-32 x^{8}$ 
B)  $-16 x^{9}+32 x^{8}$ 
C)  $-16 x^{2}-32 x$ 
D)  $-16 x^{9}-4 x^{6}$

Question 18

Evaluate.
-$x^{2}-6$ when $x=-3$

Accepted Answer

A)  $x^{2}-3$ 
B)  -9 
C)  -27 
D)  3 
A)  $x^{2}-3$ 
B)  -9 
C)  -27 
D)  3

Question 19

What is the meaning of the expression?
-$15^{2}$

Accepted Answer

A)  450 
B)  $2 \cdot 15$ 
C)  17 
D)  $15 \cdot 15$ 
A)  450 
B)  $2 \cdot 15$ 
C)  17 
D)  $15 \cdot 15$

Question 20

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

Accepted Answer

A)  $-2 x^{2} y-2 x y^{2}-6 x y$ 
B)  $-2 x^{2} y-2 x y^{2}+2 x y$ 
C)  $-4 x^{2} y+4 x y^{2}-6 x y$ 
D)  $-2 x^{2} y+2 x y^{2}-6 x y$ 
A)  $-2 x^{2} y-2 x y^{2}-6 x y$ 
B)  $-2 x^{2} y-2 x y^{2}+2 x y$ 
C)  $-4 x^{2} y+4 x y^{2}-6 x y$ 
D)  $-2 x^{2} y+2 x y^{2}-6 x y$

Evaluate the polynomial. - $-3 x^{2}+4 x-8$ , when $x=0$

Compute each expression and compare. - $8^{2}-3^{2} ;(8-3)^{2}$

Divide - $\left(10 x^{7}-12 x^{4}+14 x^{2}\right) \div\left(2 x^{2}\right)$

Multiply. - $(2 x-12)(2 x+12)$

Multiply. - $(2 x+7)(2 x+7)$

Solve the problem. -Find a polynomial for the perimeter of the figure.

Express using positive exponents. Then simplify. -(-3)^-4

Evaluate the polynomial. - $y z+x y-z$ for $x=2, y=4$ , and $z=4$

Collect like terms and then arrange in descending order. - $-4 x^{6}+3 x^{8}+7 x^{7}+7 x^{6}+6 x^{7}+5 x^{8}$

Add. -( $6 s+8 t)+(18 t-4 s)$

Evaluate. - $m^{2}$ when $m=17$

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

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $12 y^{4}-2 y^{3}+1$

Simplify. - $\left(\frac{a^{4}}{b^{5}}\right)^{3}$

Multiply. - $(w-z)\left(w^{2}+z^{2}+5 w z\right)$

Convert to decimal notation. - $7.67 \times 10^{4}$

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

Evaluate. - $x^{2}-6$ when $x=-3$

What is the meaning of the expression? - $15^{2}$

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

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

Evaluate the polynomial. - −3x2+4x−8-3 x^{2}+4 x-8−3x2+4x−8 , when x=0x=0x=0

Compute each expression and compare. - 82−32;(8−3)28^{2}-3^{2} ;(8-3)^{2}82−32;(8−3)2

Divide - (10x7−12x4+14x2)÷(2x2)\left(10 x^{7}-12 x^{4}+14 x^{2}\right) \div\left(2 x^{2}\right)(10x7−12x4+14x2)÷(2x2)

Multiply. - (2x−12)(2x+12)(2 x-12)(2 x+12)(2x−12)(2x+12)

Multiply. - (2x+7)(2x+7)(2 x+7)(2 x+7)(2x+7)(2x+7)