Question 1

Multiply.
-$(\mathrm{w}-\mathrm{z})\left(\mathrm{w}^{2}+\mathrm{z}^{2}+4 \mathrm{wz}\right)$

Accepted Answer

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

Question 2

Evaluate.
-$x^{0} ; x \neq 0$

Accepted Answer

A)  0 
B)  - 1 
C)  $x$ 
D)  1 
A)  0 
B)  - 1 
C)  $x$ 
D)  1

Question 3

Convert to decimal notation.
-$3.0599 \times 10^{4}$

Accepted Answer

A)  3059.9 
B)  122.396 
C)  305,990 
D)  30,599 
A)  3059.9 
B)  122.396 
C)  305,990 
D)  30,599

Question 4

Evaluate.
-$x y^{1}$

Accepted Answer

A)  $x$ 
B)  1 
C)  $\mathrm{y}$ 
D)  $x y$ 
A)  $x$ 
B)  1 
C)  $\mathrm{y}$ 
D)  $x y$

Question 5

Multiply.
-$\left(x+\frac{1}{4}\right)\left(3 x^{3}+5 x^{2}-3 x-1\right)$

Accepted Answer

A)  $3 x^{4}+\frac{23}{4} x^{3}+\frac{17}{4} x^{2}-\frac{7}{4} x-\frac{1}{4}$ 
B)  $3 x^{4}-\frac{23}{4} x^{3}+\frac{7}{4} x^{2}-\frac{7}{4} x+\frac{1}{4}$ 
C)  $3 x^{4}+\frac{23}{4} x^{3}-\frac{7}{4} x^{2}-\frac{7}{4} x-\frac{1}{4}$ 
D)  $3 x^{4}+\frac{23}{4} x^{3}+\frac{17}{4} x^{2}+\frac{7}{4} x-\frac{1}{4}$ 
A)  $3 x^{4}+\frac{23}{4} x^{3}+\frac{17}{4} x^{2}-\frac{7}{4} x-\frac{1}{4}$ 
B)  $3 x^{4}-\frac{23}{4} x^{3}+\frac{7}{4} x^{2}-\frac{7}{4} x+\frac{1}{4}$ 
C)  $3 x^{4}+\frac{23}{4} x^{3}-\frac{7}{4} x^{2}-\frac{7}{4} x-\frac{1}{4}$ 
D)  $3 x^{4}+\frac{23}{4} x^{3}+\frac{17}{4} x^{2}+\frac{7}{4} x-\frac{1}{4}$

Question 6

Draw and label rectangles to illustrate the given product.
-$(2 \mathrm{x}+5)(2 \mathrm{x}+5)$

Accepted Answer

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

Question 7

Write an algebraic expression that represents the total area of the four smaller rectangles.
-

Accepted Answer

A)  $x^{2}+15 x+56$ 
B)  $x^{2}+16 x+64$ 
C)  $x^{2}+14 x+49$ 
D)  $x^{2}-15 x+56$ 
A)  $x^{2}+15 x+56$ 
B)  $x^{2}+16 x+64$ 
C)  $x^{2}+14 x+49$ 
D)  $x^{2}-15 x+56$

Question 8

Evaluate.
-$-3^{0}$

Accepted Answer

A)  -3 
B)  - 1 
C)  0 
D)  1 
A)  -3 
B)  - 1 
C)  0 
D)  1

Question 9

Write the number in scientific notation.
-146.447

Accepted Answer

A)  $1.46447 \times 10^{-2}$ 
B)  $1.46447 \times 10^{-1}$ 
C)  $1.46447 \times 10^{1}$ 
D)  $1.46447 \times 10^{2}$ 
A)  $1.46447 \times 10^{-2}$ 
B)  $1.46447 \times 10^{-1}$ 
C)  $1.46447 \times 10^{1}$ 
D)  $1.46447 \times 10^{2}$

Question 10

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

Accepted Answer

A)  $y^{2}+8 y+16$ 
B)  $17 y^{2}$ 
C)  17 
D)  $\mathrm{y}^{2}+16$ 
A)  $y^{2}+8 y+16$ 
B)  $17 y^{2}$ 
C)  17 
D)  $\mathrm{y}^{2}+16$

Question 11

Multiply.
-$(-3 x-4)^{2}$

Accepted Answer

A)  $9 x^{2}+16$ 
B)  $-3 x^{2}+24 x+16$ 
C)  $9 x^{2}+24 x+16$ 
D)  $-3 x^{2}+16$ 
A)  $9 x^{2}+16$ 
B)  $-3 x^{2}+24 x+16$ 
C)  $9 x^{2}+24 x+16$ 
D)  $-3 x^{2}+16$

Question 12

Evaluate.
-$-p^{3}$, when $p=4$

Accepted Answer

A)  -64 
B)  4 
C)  12 
D)  64 
A)  -64 
B)  4 
C)  12 
D)  64

Question 13

Write the number in scientific notation.
-0.0000000833018

Accepted Answer

A)  $8.33018 \times 10^{8}$ 
B)  $8.33018 \times 10^{-7}$ 
C)  $8.33018 \times 10^{-8}$ 
D)  $8.33018 \times 10^{-9}$ 
A)  $8.33018 \times 10^{8}$ 
B)  $8.33018 \times 10^{-7}$ 
C)  $8.33018 \times 10^{-8}$ 
D)  $8.33018 \times 10^{-9}$

Question 14

Evaluate the polynomial.
-$2 x^{2} y-x z^{3}$ for $x=-3, y=1$, and $z=3$

Accepted Answer

A)  117 
B)  99 
C)  -63 
D)  18 
A)  117 
B)  99 
C)  -63 
D)  18

Question 15

Subtract.
-$(25 x+7 x y-8 y)-(10 x-17 x y-30 y)$

Accepted Answer

A)  $61 x y$ 
B)  $18 x-15 x y+38$ 
C)  $15 x-24 x y-38 y$ 
D)  $15 x+24 x y+22 y$ 
A)  $61 x y$ 
B)  $18 x-15 x y+38$ 
C)  $15 x-24 x y-38 y$ 
D)  $15 x+24 x y+22 y$

Question 16

Simplify.
-$-3\left(x^{-4} y^{-1}\right)^{-4}$

Accepted Answer

A)  $\frac{-3}{x^{16} y^{4}}$ 
B)  $(-3)^{4} x^{16} y ^{4}$ 
C)  $-3 x^{16} y ^{4}$ 
D)  $\frac{x^{16} y^{4}}{(-3)^{4}}$ 
A)  $\frac{-3}{x^{16} y^{4}}$ 
B)  $(-3)^{4} x^{16} y ^{4}$ 
C)  $-3 x^{16} y ^{4}$ 
D)  $\frac{x^{16} y^{4}}{(-3)^{4}}$

Question 17

Find the degree of the polynomial.
-$-y^{5}+4 x^{5}+2 x^{5} y+4$

Accepted Answer

A)  5 
B)  16 
C)  4 
D)  6 
A)  5 
B)  16 
C)  4 
D)  6

Question 18

Simplify.
-$\left(\frac{\mathrm{a}^{2}}{\mathrm{~b}^{3}}\right)^{3}$

Accepted Answer

A)  $\frac{a^{6}}{b^{3}}$ 
B)  $\frac{a^{6}}{b^{9}}$ 
C)  $\frac{\mathrm{a}^{9}}{\mathrm{~b}^{6}}$ 
D)  $\frac{a^{3}}{b^{9}}$ 
A)  $\frac{a^{6}}{b^{3}}$ 
B)  $\frac{a^{6}}{b^{9}}$ 
C)  $\frac{\mathrm{a}^{9}}{\mathrm{~b}^{6}}$ 
D)  $\frac{a^{3}}{b^{9}}$

Question 19

Collect like terms.
-$8 x^{9}+7 x^{9}-4 x^{9}$

Accepted Answer

A)  $-224 x^{9}$ 
B)  Can't be simplified 
C)  $11 x^{27}$ 
D)  $11 \mathrm{x}^{9}$ 
A)  $-224 x^{9}$ 
B)  Can't be simplified 
C)  $11 x^{27}$ 
D)  $11 \mathrm{x}^{9}$

Question 20

Convert to decimal notation.
-$1.52 \times 10^{4}$

Accepted Answer

A)  60.8 
B)  1520 
C)  15,200 
D)  152,000 
A)  60.8 
B)  1520 
C)  15,200 
D)  152,000

Multiply. - $(\mathrm{w}-\mathrm{z})\left(\mathrm{w}^{2}+\mathrm{z}^{2}+4 \mathrm{wz}\right)$

Evaluate. - $x^{0} ; x \neq 0$

Convert to decimal notation. - $3.0599 \times 10^{4}$

Evaluate. - $x y^{1}$

Multiply. - $\left(x+\frac{1}{4}\right)\left(3 x^{3}+5 x^{2}-3 x-1\right)$

Draw and label rectangles to illustrate the given product. - $(2 \mathrm{x}+5)(2 \mathrm{x}+5)$

Write an algebraic expression that represents the total area of the four smaller rectangles. -

Evaluate. - $-3^{0}$

Write the number in scientific notation. -146.447

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

Multiply. - $(-3 x-4)^{2}$

Evaluate. - $-p^{3}$ , when $p=4$

Write the number in scientific notation. -0.0000000833018

Evaluate the polynomial. - $2 x^{2} y-x z^{3}$ for $x=-3, y=1$ , and $z=3$

Subtract. - $(25 x+7 x y-8 y)-(10 x-17 x y-30 y)$

Simplify. - $-3\left(x^{-4} y^{-1}\right)^{-4}$

Find the degree of the polynomial. - $-y^{5}+4 x^{5}+2 x^{5} y+4$

Simplify. - $\left(\frac{\mathrm{a}^{2}}{\mathrm{~b}^{3}}\right)^{3}$

Collect like terms. - $8 x^{9}+7 x^{9}-4 x^{9}$

Convert to decimal notation. - $1.52 \times 10^{4}$

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

Multiply. - (w−z)(w2+z2+4wz)(\mathrm{w}-\mathrm{z})\left(\mathrm{w}^{2}+\mathrm{z}^{2}+4 \mathrm{wz}\right)(w−z)(w2+z2+4wz)

Evaluate. - x0;x≠0x^{0} ; x \neq 0x0;x=0

Convert to decimal notation. - 3.0599×1043.0599 \times 10^{4}3.0599×104

Evaluate. - xy1x y^{1}xy1

Multiply. - (x+14)(3x3+5x2−3x−1)\left(x+\frac{1}{4}\right)\left(3 x^{3}+5 x^{2}-3 x-1\right)(x+41​)(3x3+5x2−3x−1)

Draw and label rectangles to illustrate the given product. - (2x+5)(2x+5)(2 \mathrm{x}+5)(2 \mathrm{x}+5)(2x+5)(2x+5)