Question 1

Multiply.
-$-7(12 x-4)$

Accepted Answer

A)  $-56 x$ 
B)  $-84 x+28$ 
C)  $12 x+28$ 
D)  $-84 x-4$ 
A)  $-56 x$ 
B)  $-84 x+28$ 
C)  $12 x+28$ 
D)  $-84 x-4$

Question 2

Identify the terms in the polynomial.
-$3 y^{11}-9 y^{2}-6 y$

Accepted Answer

A)  $3 y^{11}, 9 y^{2},-6 y$ 
B)  $3 y^{11},-9 y^{2},-6 y$ 
C)  $3 y^{11},-9 y^{2}, 6 y$ 
D)  $3, y^{11},-9, y^{2},-6, y$ 
A)  $3 y^{11}, 9 y^{2},-6 y$ 
B)  $3 y^{11},-9 y^{2},-6 y$ 
C)  $3 y^{11},-9 y^{2}, 6 y$ 
D)  $3, y^{11},-9, y^{2},-6, y$

Question 3

Simplify.
-$-\left(3 x^{2}-6 x+4\right)$

Accepted Answer

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

Question 4

Solve the problem.
-The height $\mathrm{H}$ (in feet) of a ball thrown into the air from the top of a building after $t$ seconds is given by $\mathrm{H}=-16 \mathrm{t}^{2}+65 t+211$. Use the graph below to estimate the height of the ball after 4.5 seconds.

Accepted Answer

A)  180 feet 
B)  220 feet 
C)  280 feet 
D)  140 feet 
A)  180 feet 
B)  220 feet 
C)  280 feet 
D)  140 feet

Question 5

Collect like terms.
-$5 x^{4}+7 x^{3}-7 x^{4}$

Accepted Answer

A)  Can't be simplified 
B)  $5 x^{3}$ 
C)  $5 x^{11}$ 
D)  $-2 x^{4}+7 x^{3}$ 
A)  Can't be simplified 
B)  $5 x^{3}$ 
C)  $5 x^{11}$ 
D)  $-2 x^{4}+7 x^{3}$

Question 6

Multiply and simplify.
-$a^{-8} \cdot a^{8}$

Accepted Answer

A)  0 
B)  1 
C)  -1 
D)  $\frac{1}{a^{8}}$ 
A)  0 
B)  1 
C)  -1 
D)  $\frac{1}{a^{8}}$

Question 7

Multiply.
-$\left(t+\frac{7}{5}\right)\left(t+\frac{7}{5}\right)$

Accepted Answer

A)  $\mathrm{t}^{2}-\frac{49}{25}$ 
B)  $t^{2}+\frac{49}{25}$ 
C)  $t^{2}+\frac{7}{5} t+\frac{49}{25}$ 
D)  $t^{2}+\frac{14}{5} t+\frac{49}{25}$ 
A)  $\mathrm{t}^{2}-\frac{49}{25}$ 
B)  $t^{2}+\frac{49}{25}$ 
C)  $t^{2}+\frac{7}{5} t+\frac{49}{25}$ 
D)  $t^{2}+\frac{14}{5} t+\frac{49}{25}$

Question 8

Convert to decimal notation.
-$9.0597 \times 10^{-7}$

Accepted Answer

A)  0.000000090597 
B)  $-905,970,000$ 
C)  0.00000090597 
D)  0.0000090597 
A)  0.000000090597 
B)  $-905,970,000$ 
C)  0.00000090597 
D)  0.0000090597

Question 9

Multiply.
-$\left(\mathrm{s}-\frac{4}{9}\right)^{2}$

Accepted Answer

A)  $s^{2}-8 s+16$ 
B)  $s^{2}-\frac{8}{9} s+\frac{16}{81}$ 
C)  $s^{2}-\frac{8}{81} s+\frac{16}{81}$ 
D)  $s^{2}-\frac{16}{9} s+\frac{16}{81}$ 
A)  $s^{2}-8 s+16$ 
B)  $s^{2}-\frac{8}{9} s+\frac{16}{81}$ 
C)  $s^{2}-\frac{8}{81} s+\frac{16}{81}$ 
D)  $s^{2}-\frac{16}{9} s+\frac{16}{81}$

Question 10

Write the word or phrase that best completes each statement or answers the question.
-What must be done to the dividend before beginning the "long division" process for $\left(5 a^{3}+8 a^{4}+2 a^{2}+6 a+5\right) \div(6 a+6) ?$

Accepted Answer

The dividend must be

Question 11

Multiply.
-$\left(x^{2}-x+9\right)(x+5)$

Accepted Answer

A)  $x^{3}+4 x^{2}+4 x+45$ 
B)  $x^{3}+4 x^{2}+45$ 
C)  $x^{3}+6 x^{2}+14 x+45$ 
D)  $x^{3}+45$ 
A)  $x^{3}+4 x^{2}+4 x+45$ 
B)  $x^{3}+4 x^{2}+45$ 
C)  $x^{3}+6 x^{2}+14 x+45$ 
D)  $x^{3}+45$

Question 12

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

Accepted Answer

A)  $y^{2}+64$ 
B)  $65 y^{2}$ 
C)  65 
D)  $y^{2}+16 y+64$ 
A)  $y^{2}+64$ 
B)  $65 y^{2}$ 
C)  65 
D)  $y^{2}+16 y+64$

Question 13

Divide
-$\left(8 x^{6}+16 x^{4}\right) \div\left(4 x^{2}\right)$

Accepted Answer

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

Question 14

Multiply mentally
-$3 x^{2}\left(2 x^{3}+3 x^{2}-4 x\right)$

Accepted Answer

A)  $6 x^{4}+9 x^{3}-12 x^{2}$ 
B)  $6 x^{5}+9 x^{4}-12 x^{2}$ 
C)  $6 x^{5}+9 x^{4}-12 x^{3}$ 
D)  $6 x^{5}+9 x^{4}+4 x^{3}$ 
A)  $6 x^{4}+9 x^{3}-12 x^{2}$ 
B)  $6 x^{5}+9 x^{4}-12 x^{2}$ 
C)  $6 x^{5}+9 x^{4}-12 x^{3}$ 
D)  $6 x^{5}+9 x^{4}+4 x^{3}$

Question 15

Write the polynomial in two ways: with its missing terms and by leaving space for them.
-$\mathrm{w}^{3}+4$

Accepted Answer

A)  $\begin{aligned} & w^{3}+0 w+4 \ & w^{3}+4\end{aligned}$ 
B)  $\begin{aligned} & \mathrm{w}^{3}+0 \mathrm{w}^{2}+4 \ & \mathrm{w}^{3}+4\end{aligned}$ 
C)  $w^{3}+4$
$w^{3}+4$ 
D)  $\begin{aligned} w^{3}+0 w^{2}+0 w & +4 \ w^{3} & +4\end{aligned}$ 
A)  $\begin{aligned} & w^{3}+0 w+4 \ & w^{3}+4\end{aligned}$ 
B)  $\begin{aligned} & \mathrm{w}^{3}+0 \mathrm{w}^{2}+4 \ & \mathrm{w}^{3}+4\end{aligned}$ 
C)  $w^{3}+4$
$w^{3}+4$ 
D)  $\begin{aligned} w^{3}+0 w^{2}+0 w & +4 \ w^{3} & +4\end{aligned}$

Question 16

Multiply.
-$(3 x-2)(x+7)$

Accepted Answer

A)  $x^{2}-14 x+19$ 
B)  $x^{2}+19 x+18$ 
C)  $3 x^{2}+19 x-14$ 
D)  $3 x^{2}+18 x-14$ 
A)  $x^{2}-14 x+19$ 
B)  $x^{2}+19 x+18$ 
C)  $3 x^{2}+19 x-14$ 
D)  $3 x^{2}+18 x-14$

Question 17

Subtract.
-$\left(7 x^{7}+3 x^{9}-4+3 x^{8}\right)-\left(-3+5 x^{8}+6 x^{9}+2 x^{7}\right)$

Accepted Answer

A)  $9 x^{9}+8 x^{8}+9 x^{7}-1$ 
B)  $-3 x^{9}-2 x^{8}+5 x^{7}-1$ 
C)  $9 x^{9}+8 x^{8}+9 x^{7}-7$ 
D)  $-3 x^{9}+8 x^{8}+9 x^{7}-7$ 
A)  $9 x^{9}+8 x^{8}+9 x^{7}-1$ 
B)  $-3 x^{9}-2 x^{8}+5 x^{7}-1$ 
C)  $9 x^{9}+8 x^{8}+9 x^{7}-7$ 
D)  $-3 x^{9}+8 x^{8}+9 x^{7}-7$

Question 18

Give the coefficient and degree of the term.
-$-6 z$

Accepted Answer

A)  $-6,1$ 
B)  6,0 
C)  $-6,0$ 
D)  6, 1 
A)  $-6,1$ 
B)  6,0 
C)  $-6,0$ 
D)  6, 1

Question 19

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

Accepted Answer

A)  $x^{2}-8 x+16$ 
B)  $x^{2}+9 x+20$ 
C)  $x^{2}+8 x+16$ 
D)  $x^{2}+10 x+25$ 
A)  $x^{2}-8 x+16$ 
B)  $x^{2}+9 x+20$ 
C)  $x^{2}+8 x+16$ 
D)  $x^{2}+10 x+25$

Question 20

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-A light-year is the distance that light travels in one year. Find the number of miles in a light-year if light travels $1.86 \times 10^{5}$ miles/second.

Accepted Answer

A)  $5.87 \times 10^{7}$ miles 
B)  $5.87 \times 10^{5}$ miles 
C)  $5.87 \times 10^{12}$ miles 
D)  $5.87 \times 10^{14}$ miles 
A)  $5.87 \times 10^{7}$ miles 
B)  $5.87 \times 10^{5}$ miles 
C)  $5.87 \times 10^{12}$ miles 
D)  $5.87 \times 10^{14}$ miles

Multiply. - $-7(12 x-4)$

Identify the terms in the polynomial. - $3 y^{11}-9 y^{2}-6 y$

Simplify. - $-\left(3 x^{2}-6 x+4\right)$

Collect like terms. - $5 x^{4}+7 x^{3}-7 x^{4}$

Multiply and simplify. - $a^{-8} \cdot a^{8}$

Multiply. - $\left(t+\frac{7}{5}\right)\left(t+\frac{7}{5}\right)$

Convert to decimal notation. - $9.0597 \times 10^{-7}$

Multiply. - $\left(\mathrm{s}-\frac{4}{9}\right)^{2}$

Write the word or phrase that best completes each statement or answers the question. -What must be done to the dividend before beginning the "long division" process for $\left(5 a^{3}+8 a^{4}+2 a^{2}+6 a+5\right) \div(6 a+6) ?$

Multiply. - $\left(x^{2}-x+9\right)(x+5)$

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

Divide - $\left(8 x^{6}+16 x^{4}\right) \div\left(4 x^{2}\right)$

Multiply mentally - $3 x^{2}\left(2 x^{3}+3 x^{2}-4 x\right)$

Write the polynomial in two ways: with its missing terms and by leaving space for them. - $\mathrm{w}^{3}+4$

Multiply. - $(3 x-2)(x+7)$

Subtract. - $\left(7 x^{7}+3 x^{9}-4+3 x^{8}\right)-\left(-3+5 x^{8}+6 x^{9}+2 x^{7}\right)$

Give the coefficient and degree of the term. - $-6 z$

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

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -A light-year is the distance that light travels in one year. Find the number of miles in a light-year if light travels $1.86 \times 10^{5}$ miles/second.

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. - −7(12x−4)-7(12 x-4)−7(12x−4)

Identify the terms in the polynomial. - 3y11−9y2−6y3 y^{11}-9 y^{2}-6 y3y11−9y2−6y

Simplify. - −(3x2−6x+4)-\left(3 x^{2}-6 x+4\right)−(3x2−6x+4)

Solve the problem. -The height H\mathrm{H}H (in feet) of a ball thrown into the air from the top of a building after ttt seconds is given by H=−16t2+65t+211\mathrm{H}=-16 \mathrm{t}^{2}+65 t+211H=−16t2+65t+211 . Use the graph below to estimate the height of the ball after 4.5 seconds.

Collect like terms. - 5x4+7x3−7x45 x^{4}+7 x^{3}-7 x^{4}5x4+7x3−7x4

Multiply and simplify. - a−8⋅a8a^{-8} \cdot a^{8}a−8⋅a8

Multiply. - (t+75)(t+75)\left(t+\frac{7}{5}\right)\left(t+\frac{7}{5}\right)(t+57​)(t+57​)

Convert to decimal notation. - 9.0597×10−79.0597 \times 10^{-7}9.0597×10−7

Multiply. - (s−49)2\left(\mathrm{s}-\frac{4}{9}\right)^{2}(s−94​)2

Write the word or phrase that best completes each statement or answers the question. -What must be done to the dividend before beginning the "long division" process for (5a3+8a4+2a2+6a+5)÷(6a+6)?\left(5 a^{3}+8 a^{4}+2 a^{2}+6 a+5\right) \div(6 a+6) ?(5a3+8a4+2a2+6a+5)÷(6a+6)?

Multiply. - (x2−x+9)(x+5)\left(x^{2}-x+9\right)(x+5)(x2−x+9)(x+5)