Question 1

Collect like terms.
-$4 x^{2} y+9 z^{2} y+9 x^{2} y-4 z^{2} y$

Accepted Answer

A)  $18 z^{2} y$ 
B)  $5 x^{2} y+13 z^{2} y$ 
C)  $18 x^{2} y$ 
D)  $13 x^{2} y+5 z^{2} y$ 
A)  $18 z^{2} y$ 
B)  $5 x^{2} y+13 z^{2} y$ 
C)  $18 x^{2} y$ 
D)  $13 x^{2} y+5 z^{2} y$

Question 2

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$7 z+4$

Accepted Answer

A)  Binomial, degree 2 
B)  Monomial, degree 7 
C)  Binomial, degree 1 
D)  Binomial, degree 0 
A)  Binomial, degree 2 
B)  Monomial, degree 7 
C)  Binomial, degree 1 
D)  Binomial, degree 0

Question 3

Multiply.
-$(12 m-5 w)(12 m+5 w)$

Accepted Answer

A)  $144 m^{2}-25 w^{2}$ 
B)  $12 m^{2}-5 w^{2}$ 
C)  $144 \mathrm{~m}^{2}+120 \mathrm{mw}-25 \mathrm{w}^{2}$ 
D)  $144 \mathrm{~m}^{2}-120 \mathrm{mw}-25 \mathrm{w}^{2}$ 
A)  $144 m^{2}-25 w^{2}$ 
B)  $12 m^{2}-5 w^{2}$ 
C)  $144 \mathrm{~m}^{2}+120 \mathrm{mw}-25 \mathrm{w}^{2}$ 
D)  $144 \mathrm{~m}^{2}-120 \mathrm{mw}-25 \mathrm{w}^{2}$

Question 4

Evaluate the polynomial.
-$7 x+2$, when $x=9$

Accepted Answer

A)  126 
B)  61 
C)  9 
D)  65 
A)  126 
B)  61 
C)  9 
D)  65

Question 5

Provide an appropriate response.
-$\left(\frac{\mathrm{r}}{\mathrm{s}}\right)^{4}=\frac{\mathrm{r}^{4}}{\mathrm{~s}}$

Accepted Answer

A) True 
 B)False

Question 6

Multiply.
-$\left(x-\frac{4}{9}\right)\left(x+\frac{4}{9}\right)$

Accepted Answer

A)  $x^{2}-16 x-9$ 
B)  $x^{2}+16 x-9$ 
C)  $x^{2}-16$ 
D)  $x^{2}-\frac{16}{81}$ 
A)  $x^{2}-16 x-9$ 
B)  $x^{2}+16 x-9$ 
C)  $x^{2}-16$ 
D)  $x^{2}-\frac{16}{81}$

Question 7

Multiply.
-$\left(-9 x^{5}\right)\left(5 x^{4}\right)$

Accepted Answer

A)  $-45 x^{9}$ 
B)  $14 \mathrm{x}^{9}$ 
C)  $-45 x^{20}$ 
D)  $14 x^{20}$ 
A)  $-45 x^{9}$ 
B)  $14 \mathrm{x}^{9}$ 
C)  $-45 x^{20}$ 
D)  $14 x^{20}$

Question 8

Identify the like terms in the polynomial.
-$3 x^{4}+5 x^{3}-7 x^{4}$

Accepted Answer

A)  $x^{4}$ 
B)  $3 x^{4}$ and $-7 x^{4}$ 
C)  $3 x^{4}$ and $7 x^{4}$ 
D)  None of the terms are like. 
A)  $x^{4}$ 
B)  $3 x^{4}$ and $-7 x^{4}$ 
C)  $3 x^{4}$ and $7 x^{4}$ 
D)  None of the terms are like.

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

A)  $20 x^{8}-12 x^{7}$ 
B)  $20 x^{8}+12 x^{7}$ 
C)  $20 x^{8}+3 x^{4}$ 
D)  $20 x^{2}-12 x$ 
A)  $20 x^{8}-12 x^{7}$ 
B)  $20 x^{8}+12 x^{7}$ 
C)  $20 x^{8}+3 x^{4}$ 
D)  $20 x^{2}-12 x$

Question 11

Find the total area of all shaded rectangles.
-

Accepted Answer

A)  $16 x^{2}+24 x+9$ 
B)  $4 x^{2}+12 x+9$ 
C)  $4 x^{2}+24 x+9$ 
D)  $16 x^{2}+12 x+9$ 
A)  $16 x^{2}+24 x+9$ 
B)  $4 x^{2}+12 x+9$ 
C)  $4 x^{2}+24 x+9$ 
D)  $16 x^{2}+12 x+9$

Question 12

Multiply.
-$(-4 \mathrm{x}-2)(\mathrm{x}-7)$

Accepted Answer

A)  $-4 x^{2}+26 x+26$ 
B)  $-4 x^{2}+14 x+26$ 
C)  $-4 x^{2}+26 x+14$ 
D)  $-4 x^{2}+24 x+14$ 
A)  $-4 x^{2}+26 x+26$ 
B)  $-4 x^{2}+14 x+26$ 
C)  $-4 x^{2}+26 x+14$ 
D)  $-4 x^{2}+24 x+14$

Question 13

Divide and simplify.
-$\frac{t^{7}}{t}$

Accepted Answer

A)  $\mathrm{t}^{7}$ 
B)  $\frac{1}{t^{6}}$ 
C)  $t^{6}$ 
D)  $\mathrm{t}$ 
A)  $\mathrm{t}^{7}$ 
B)  $\frac{1}{t^{6}}$ 
C)  $t^{6}$ 
D)  $\mathrm{t}$

Question 14

Simplify.
-$\left(\frac{x^{3} y}{z^{4}}\right)^{5}$

Accepted Answer

A)  $\frac{x^{15} y^{5}}{z^{4}}$ 
B)  $\frac{x^{5} y^{15}}{z^{20}}$ 
C)  $\frac{x^{15} y^{5}}{z^{20}}$ 
D)  $\frac{x^{8} y^{5}}{z^{9}}$ 
A)  $\frac{x^{15} y^{5}}{z^{4}}$ 
B)  $\frac{x^{5} y^{15}}{z^{20}}$ 
C)  $\frac{x^{15} y^{5}}{z^{20}}$ 
D)  $\frac{x^{8} y^{5}}{z^{9}}$

Question 15

Solve the problem.
-During the first seconds, the height $h$ in feet of a baseball after $t$ seconds is given by $h=-16 t^{2}+91 t$ +3.1 . Use the graph below to estimate the height of the ball after 4 seconds.

Accepted Answer

A)  367 feet 
B)  211 feet 
C)  111 feet 
D)  67 feet 
A)  367 feet 
B)  211 feet 
C)  111 feet 
D)  67 feet

Question 16

Identify the missing terms in the polynomial.
-$3 x^{3}-3 x^{2}+x+4$

Accepted Answer

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

Question 17

Find the degree of the polynomial.
-$x^{4} y z-x^{6} y^{2}-3 x^{3} y^{2} z^{3}$

Accepted Answer

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

Question 18

What is the meaning of the expression?
-$\left(\frac{2}{5}\right)^{4}$

Accepted Answer

A)  $\frac{2}{5 \cdot 5 \cdot 5 \cdot 5}$ 
B) $\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)$ 
C)  $\frac{2 \cdot 2 \cdot 2 \cdot 2}{5}$ 
D)  $4\left(\frac{2}{5}\right)$ 
A)  $\frac{2}{5 \cdot 5 \cdot 5 \cdot 5}$ 
B) $\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)$ 
C)  $\frac{2 \cdot 2 \cdot 2 \cdot 2}{5}$ 
D)  $4\left(\frac{2}{5}\right)$

Question 19

Evaluate the polynomial.
-$-6 x^{3}-5 x^{2}+12$, when $x=-2$

Accepted Answer

A)  28 
B)  30 
C)  40 
D)  70 
A)  28 
B)  30 
C)  40 
D)  70

Question 20

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

Accepted Answer

A)  $6 m^{4}+3 m^{3}+6 m^{2}-17 m+6$ 
B)  $6 m^{4}+5 m^{3}+6 m^{2}-17 m+6$ 
C)  $6 m^{4}+5 m^{3}+4 m^{2}-17 m+6$ 
D)  $6 m^{4}+5 m^{3}+6 m^{2}-9 m+6$ 
A)  $6 m^{4}+3 m^{3}+6 m^{2}-17 m+6$ 
B)  $6 m^{4}+5 m^{3}+6 m^{2}-17 m+6$ 
C)  $6 m^{4}+5 m^{3}+4 m^{2}-17 m+6$ 
D)  $6 m^{4}+5 m^{3}+6 m^{2}-9 m+6$

Collect like terms. - $4 x^{2} y+9 z^{2} y+9 x^{2} y-4 z^{2} y$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $7 z+4$

Multiply. - $(12 m-5 w)(12 m+5 w)$

Evaluate the polynomial. - $7 x+2$ , when $x=9$

Provide an appropriate response. - $\left(\frac{\mathrm{r}}{\mathrm{s}}\right)^{4}=\frac{\mathrm{r}^{4}}{\mathrm{~s}}$

Multiply. - $\left(x-\frac{4}{9}\right)\left(x+\frac{4}{9}\right)$

Multiply. - $\left(-9 x^{5}\right)\left(5 x^{4}\right)$

Identify the like terms in the polynomial. - $3 x^{4}+5 x^{3}-7 x^{4}$

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

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

Find the total area of all shaded rectangles. -

Multiply. - $(-4 \mathrm{x}-2)(\mathrm{x}-7)$

Divide and simplify. - $\frac{t^{7}}{t}$

Simplify. - $\left(\frac{x^{3} y}{z^{4}}\right)^{5}$

Identify the missing terms in the polynomial. - $3 x^{3}-3 x^{2}+x+4$

Find the degree of the polynomial. - $x^{4} y z-x^{6} y^{2}-3 x^{3} y^{2} z^{3}$

What is the meaning of the expression? - $\left(\frac{2}{5}\right)^{4}$

Evaluate the polynomial. - $-6 x^{3}-5 x^{2}+12$ , when $x=-2$

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

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

Collect like terms. - 4x2y+9z2y+9x2y−4z2y4 x^{2} y+9 z^{2} y+9 x^{2} y-4 z^{2} y4x2y+9z2y+9x2y−4z2y

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - 7z+47 z+47z+4

Multiply. - (12m−5w)(12m+5w)(12 m-5 w)(12 m+5 w)(12m−5w)(12m+5w)

Evaluate the polynomial. - 7x+27 x+27x+2 , when x=9x=9x=9

Provide an appropriate response. - (rs)4=r4 s\left(\frac{\mathrm{r}}{\mathrm{s}}\right)^{4}=\frac{\mathrm{r}^{4}}{\mathrm{~s}}(sr​)4= sr4​

Multiply. - (x−49)(x+49)\left(x-\frac{4}{9}\right)\left(x+\frac{4}{9}\right)(x−94​)(x+94​)

Multiply. - (−9x5)(5x4)\left(-9 x^{5}\right)\left(5 x^{4}\right)(−9x5)(5x4)

Identify the like terms in the polynomial. - 3x4+5x3−7x43 x^{4}+5 x^{3}-7 x^{4}3x4+5x3−7x4

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

Multiply. - −4x3(−5x5+3x4)-4 x^{3}\left(-5 x^{5}+3 x^{4}\right)−4x3(−5x5+3x4)