Question 1

Arrange the polynomial in descending order.
-$-9-8 x^{2}+6 x^{6}+4 x^{3}+x$

Accepted Answer

A)  $-9-8 x^{2}+6 x^{6}+4 x^{3}+x$ 
B)  $-9+x-8 x^{2}+4 x^{3}+6 x^{6}$ 
C)  $6 x^{6}+4 x^{3}-8 x^{2}+x-9$ 
D)  $6 x^{6}+x+4 x^{3}-8 x^{2}-9$ 
A)  $-9-8 x^{2}+6 x^{6}+4 x^{3}+x$ 
B)  $-9+x-8 x^{2}+4 x^{3}+6 x^{6}$ 
C)  $6 x^{6}+4 x^{3}-8 x^{2}+x-9$ 
D)  $6 x^{6}+x+4 x^{3}-8 x^{2}-9$

Question 2

Divide.
-$\left(16 x^{10}-28 x^{7}\right) \div\left(4 x^{4}\right)$

Accepted Answer

A)  $16 x^{10}-7 x^{3}$ 
B)  $4 x^{6}-7 x^{3}$ 
C)  $-3 \mathrm{x}^{13}$ 
D)  $4 x^{6}-28 x^{7}$ 
A)  $16 x^{10}-7 x^{3}$ 
B)  $4 x^{6}-7 x^{3}$ 
C)  $-3 \mathrm{x}^{13}$ 
D)  $4 x^{6}-28 x^{7}$

Question 3

Multiply.
-$(a-b)\left(a^{2}-a b-7 b^{2}\right)$

Accepted Answer

A)  $a^{3}-6 a^{2} b+7 b^{3}$ 
B)  $a^{3}-2 a^{2} b-6 a b^{2}+7 b^{3}$ 
C)  $a^{3}-2 a^{2} b-7 a b^{2}+7 b^{3}$ 
D)  $a^{3}-2 a^{2} b-8 a b^{2}-7 b^{3}$ 
A)  $a^{3}-6 a^{2} b+7 b^{3}$ 
B)  $a^{3}-2 a^{2} b-6 a b^{2}+7 b^{3}$ 
C)  $a^{3}-2 a^{2} b-7 a b^{2}+7 b^{3}$ 
D)  $a^{3}-2 a^{2} b-8 a b^{2}-7 b^{3}$

Question 4

Subtract.
-$\left(0.5 x^{4}-0.2 x^{2}+0.2\right)-\left(1.4 x^{4}+3.6 x-2.1\right)$

Accepted Answer

A)  $-0.9 x^{4}-0.2 x^{2}-3.6 x-1.9$ 
B)  $-0.9 x^{4}-0.2 x^{2}+3.6 x+2.3$ 
C)  $-0.9 x^{4}-0.2 x^{2}-1.9$ 
D)  $-0.9 x^{4}-0.2 x^{2}-3.6 x+2.3$ 
A)  $-0.9 x^{4}-0.2 x^{2}-3.6 x-1.9$ 
B)  $-0.9 x^{4}-0.2 x^{2}+3.6 x+2.3$ 
C)  $-0.9 x^{4}-0.2 x^{2}-1.9$ 
D)  $-0.9 x^{4}-0.2 x^{2}-3.6 x+2.3$

Question 5

What is the meaning of the expression?
-$(-4.7)^{3}$

Accepted Answer

A)  $-4.7 \cdot 4.7 \cdot 4.7$ 
B)  $(4.7)(4.7)(4.7)$ 
C)  $3(-4.7)$ 
D)  $(-4.7)(-4.7)(-4.7)$ 
A)  $-4.7 \cdot 4.7 \cdot 4.7$ 
B)  $(4.7)(4.7)(4.7)$ 
C)  $3(-4.7)$ 
D)  $(-4.7)(-4.7)(-4.7)$

Question 6

Multiply.
-$\left(2 x^{2}\right)\left(-7 x^{5}\right)\left(-4 x^{6}\right)$

Accepted Answer

A)  $56 x^{60}$ 
B)  $-56 x^{60}$ 
C)  $56 x^{13}$ 
D)  $-56 x^{13}$ 
A)  $56 x^{60}$ 
B)  $-56 x^{60}$ 
C)  $56 x^{13}$ 
D)  $-56 x^{13}$

Question 7

Multiply and simplify.
-$y^{-6} \cdot y^{-4}$

Accepted Answer

A)  $\frac{1}{y^{10}}$ 
B)  $\mathrm{y}^{10}$ 
C)  $\frac{1}{y^{2}}$ 
D)  $\frac{1}{y^{-10}}$ 
A)  $\frac{1}{y^{10}}$ 
B)  $\mathrm{y}^{10}$ 
C)  $\frac{1}{y^{2}}$ 
D)  $\frac{1}{y^{-10}}$

Question 8

Solve the problem.
-The distance $D$, in feet, it takes a car travelling at $x$ mph to come to a full stop after hitting the brakes is given by $\mathrm{D}=1.20 \mathrm{x}^{2}+0.079 \mathrm{x}$. What is the stopping distance for a car travelling at 30 $\mathrm{mph}$ ?

Accepted Answer

A)  $108 \mathrm{ft}$ 
B)  $1100 \mathrm{ft}$ 
C)  $72 \mathrm{ft}$ 
D)  $1082.37 \mathrm{ft}$ 
A)  $108 \mathrm{ft}$ 
B)  $1100 \mathrm{ft}$ 
C)  $72 \mathrm{ft}$ 
D)  $1082.37 \mathrm{ft}$

Question 9

Subtract.
-

Accepted Answer

A)  $11 x^{7}+14 x^{6}-10 x^{5}+8$ 
B)  $-5 x^{7}+14 x^{6}-10 x^{5}+8$ 
C)  $11 x^{7}+14 x^{6}-10 x^{5}-2$ 
D)  $-5 x^{7}-4 x^{6}-2 x^{5}-2$ 
A)  $11 x^{7}+14 x^{6}-10 x^{5}+8$ 
B)  $-5 x^{7}+14 x^{6}-10 x^{5}+8$ 
C)  $11 x^{7}+14 x^{6}-10 x^{5}-2$ 
D)  $-5 x^{7}-4 x^{6}-2 x^{5}-2$

Question 10

Multiply.
-$(4 x-5 y)^{2}$

Accepted Answer

A)  $4 x^{2}-40 x y+25 y^{2}$ 
B)  $4 x^{2}+25 y^{2}$ 
C)  $16 x^{2}+25 y^{2}$ 
D)  $16 x^{2}-40 x y+25 y^{2}$ 
A)  $4 x^{2}-40 x y+25 y^{2}$ 
B)  $4 x^{2}+25 y^{2}$ 
C)  $16 x^{2}+25 y^{2}$ 
D)  $16 x^{2}-40 x y+25 y^{2}$

Question 11

What is the meaning of the expression?
-$-4 q^{3}$

Accepted Answer

A)  $(-4 q)(-4 q)(-4 q)$ 
B)  $-4 \cdot q \cdot 3$ 
C)  $-4 \cdot q \cdot q \cdot q$ 
D)  $(-4)(-4)(-4)(q)$ 
A)  $(-4 q)(-4 q)(-4 q)$ 
B)  $-4 \cdot q \cdot 3$ 
C)  $-4 \cdot q \cdot q \cdot q$ 
D)  $(-4)(-4)(-4)(q)$

Question 12

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

Accepted Answer

A)  $7 x^{2}+3 x y+y^{2}$ 
B)  $5 x^{2}+1 x y-y^{2}$ 
C)  $6 x^{2}+2 x y-y^{2}$ 
D)  $7 x^{2}+3 x y-y^{2}$ 
A)  $7 x^{2}+3 x y+y^{2}$ 
B)  $5 x^{2}+1 x y-y^{2}$ 
C)  $6 x^{2}+2 x y-y^{2}$ 
D)  $7 x^{2}+3 x y-y^{2}$

Question 13

Perform the division.
-$\frac{x^{3}+8}{x+2}$

Accepted Answer

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

Question 14

Express the following using negative exponents.
-$\frac{1}{t^{11}}$

Accepted Answer

A)  $t^{-11}$ 
B)  $11^{-\mathrm{t}}$ 
C)  $11^{\mathrm{t}}$ 
D)  $\mathrm{t}^{11}$ 
A)  $t^{-11}$ 
B)  $11^{-\mathrm{t}}$ 
C)  $11^{\mathrm{t}}$ 
D)  $\mathrm{t}^{11}$

Question 15

Express the following using negative exponents.
-$\frac{1}{5^{4}}$

Accepted Answer

A)  $5^{4}$ 
B)  $5^{-5}$ 
C)  $4^{-5}$ 
D)  $5^{-4}$ 
A)  $5^{4}$ 
B)  $5^{-5}$ 
C)  $4^{-5}$ 
D)  $5^{-4}$

Question 16

Add.
-$(7 \mathrm{x}-6)+(4 \mathrm{x}-3)$

Accepted Answer

A)  $28 x-9$ 
B)  $28 x+18$ 
C)  $2 \mathrm{x}$ 
D)  $11 \mathrm{x}-9$ 
A)  $28 x-9$ 
B)  $28 x+18$ 
C)  $2 \mathrm{x}$ 
D)  $11 \mathrm{x}-9$

Question 17

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 50-year- old woman who is $173 \mathrm{~cm}$ tall. Round to the nearest liter.

Accepted Answer

A)  11 liters 
B)  -4 liters 
C)  59 liters 
D)  4 liters 
A)  11 liters 
B)  -4 liters 
C)  59 liters 
D)  4 liters

Question 18

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-A computer can do one calculation in $1.4 \times 10^{-7}$ seconds. How long would it take the computer to do a trillion $10^{-12}$ calculations?

Accepted Answer

A)  $1.4 \times 10^{12} \mathrm{sec}$ 
B)  $1.4 \times 10^{6} \mathrm{sec}$ 
C)  $1.4 \times 10^{-7} \mathrm{sec}$ 
D)  $1.4 \times 10^{5} \mathrm{sec}$ 
A)  $1.4 \times 10^{12} \mathrm{sec}$ 
B)  $1.4 \times 10^{6} \mathrm{sec}$ 
C)  $1.4 \times 10^{-7} \mathrm{sec}$ 
D)  $1.4 \times 10^{5} \mathrm{sec}$

Question 19

Multiply.
-$(5 \mathrm{x}+10)(5 \mathrm{x}-3)$

Accepted Answer

A)  $25 x^{2}+35 x-30$ 
B)  $25 x^{2}+35 x+35$ 
C)  $10 x^{2}+35 x+35$ 
D)  $10 x^{2}+35 x-30$ 
A)  $25 x^{2}+35 x-30$ 
B)  $25 x^{2}+35 x+35$ 
C)  $10 x^{2}+35 x+35$ 
D)  $10 x^{2}+35 x-30$

Question 20

Subtract.
-$(8 x+9)-(16 x+9)$

Accepted Answer

A)  $-8 x$ 
B)  $-8 x+0$ 
C)  $-8 x+18$ 
D)  $24 x+18$ 
A)  $-8 x$ 
B)  $-8 x+0$ 
C)  $-8 x+18$ 
D)  $24 x+18$

Arrange the polynomial in descending order. - $-9-8 x^{2}+6 x^{6}+4 x^{3}+x$

Divide. - $\left(16 x^{10}-28 x^{7}\right) \div\left(4 x^{4}\right)$

Multiply. - $(a-b)\left(a^{2}-a b-7 b^{2}\right)$

Subtract. - $\left(0.5 x^{4}-0.2 x^{2}+0.2\right)-\left(1.4 x^{4}+3.6 x-2.1\right)$

What is the meaning of the expression? - $(-4.7)^{3}$

Multiply. - $\left(2 x^{2}\right)\left(-7 x^{5}\right)\left(-4 x^{6}\right)$

Multiply and simplify. - $y^{-6} \cdot y^{-4}$

Solve the problem. -The distance $D$ , in feet, it takes a car travelling at $x$ mph to come to a full stop after hitting the brakes is given by $\mathrm{D}=1.20 \mathrm{x}^{2}+0.079 \mathrm{x}$ . What is the stopping distance for a car travelling at 30 $\mathrm{mph}$ ?

Subtract. -

Multiply. - $(4 x-5 y)^{2}$

What is the meaning of the expression? - $-4 q^{3}$

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

Perform the division. - $\frac{x^{3}+8}{x+2}$

Express the following using negative exponents. - $\frac{1}{t^{11}}$

Express the following using negative exponents. - $\frac{1}{5^{4}}$

Add. - $(7 \mathrm{x}-6)+(4 \mathrm{x}-3)$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -A computer can do one calculation in $1.4 \times 10^{-7}$ seconds. How long would it take the computer to do a trillion $10^{-12}$ calculations?

Multiply. - $(5 \mathrm{x}+10)(5 \mathrm{x}-3)$

Subtract. - $(8 x+9)-(16 x+9)$

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

Arrange the polynomial in descending order. - −9−8x2+6x6+4x3+x-9-8 x^{2}+6 x^{6}+4 x^{3}+x−9−8x2+6x6+4x3+x

Divide. - (16x10−28x7)÷(4x4)\left(16 x^{10}-28 x^{7}\right) \div\left(4 x^{4}\right)(16x10−28x7)÷(4x4)

Multiply. - (a−b)(a2−ab−7b2)(a-b)\left(a^{2}-a b-7 b^{2}\right)(a−b)(a2−ab−7b2)

Subtract. - (0.5x4−0.2x2+0.2)−(1.4x4+3.6x−2.1)\left(0.5 x^{4}-0.2 x^{2}+0.2\right)-\left(1.4 x^{4}+3.6 x-2.1\right)(0.5x4−0.2x2+0.2)−(1.4x4+3.6x−2.1)

What is the meaning of the expression? - (−4.7)3(-4.7)^{3}(−4.7)3

Multiply. - (2x2)(−7x5)(−4x6)\left(2 x^{2}\right)\left(-7 x^{5}\right)\left(-4 x^{6}\right)(2x2)(−7x5)(−4x6)

Multiply and simplify. - y−6⋅y−4y^{-6} \cdot y^{-4}y−6⋅y−4