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Algebra and Trigonometry

Cynthia Y. Young

Chapter 1

Equations and Inequalities - all with Video Answers

Educators

Section 1

LINEAR EQUATIONS

00:24

Problem 1

In Exercises $1-36,$ solve for the indicated variable.
$$
5 x=35
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:33

Problem 2

Solve for the indicated variable.
$$
4 t=32
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:28

Problem 3

Solve for the indicated variable.
$$
-3+n=12
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:29

Problem 4

Solve for the indicated variable.
$$
4=-5+y
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:40

Problem 5

Solve for the indicated variable.
$$
24=-3 x
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:46

Problem 6

Solve for the indicated variable.
$$
-50=-5 t
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:32

Problem 7

Solve for the indicated variable.
$$
\frac{1}{5} n=3
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:38

Problem 8

Solve for the indicated variable.
$$
6=\frac{1}{3} p
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:55

Problem 9

Solve for the indicated variable.
$$
3 x-5=7
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:46

Problem 10

Solve for the indicated variable.
$$
4 p+5=9
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:21

Problem 11

Solve for the indicated variable.
$$
9 m-7=11
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:24

Problem 12

Solve for the indicated variable.
$$
2 x+4=5
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:31

Problem 13

Solve for the indicated variable.
$$
5 t+11=18
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:40

Problem 14

Solve for the indicated variable.
$$
7 x+4=21+24 x
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:36

Problem 15

Solve for the indicated variable.
$$
3 x-5=25+6 x
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:38

Problem 16

Solve for the indicated variable.
$$
5 x+10=25+2 x
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:29

Problem 17

Solve for the indicated variable.
$$
20 n-30=20-5 n
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:41

Problem 18

Solve for the indicated variable.
$$
14 c+15=43+7 c
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:45

Problem 19

Solve for the indicated variable.
$$
4(x-3)=2(x+6)
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:38

Problem 20

Solve for the indicated variable.
$$
5(2 y-1)=2(4 y-3)
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:03

Problem 21

Solve for the indicated variable.
$$
-3(4 t-5)=5(6-2 t)
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:42

Problem 22

Solve for the indicated variable.
$$
2(3 n+4)=-(n+2)
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:59

Problem 23

Solve for the indicated variable.
$$
2(x-1)+3=x-3(x+1)
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:21

Problem 24

Solve for the indicated variable.
$$
4(y+6)-8=2 y-4(y+2)
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:27

Problem 25

Solve for the indicated variable.
$$
5 p+6(p+7)=3(p+2)
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:06

Problem 26

Solve for the indicated variable.
$$
3(z+5)-5=4 z+7(z-2)
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:46

Problem 27

Solve for the indicated variable.
$$
7 x-(2 x+3)=x-2
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:44

Problem 28

Solve for the indicated variable.
$$
3 x-(4 x+2)=x-5
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:52

Problem 29

Solve for the indicated variable.
$$
2-(4 x+1)=3-(2 x-1)
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:49

Problem 30

Solve for the indicated variable.
$$
5-(2 x-3)=7-(3 x+5)
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:13

Problem 31

Solve for the indicated variable.
$$
2 a-9(a+6)=6(a+3)-4 a
$$

Amy Jiang
Amy Jiang
Numerade Educator
02:11

Problem 32

Solve for the indicated variable.
$$
25-[2+5 y-3(y+2)]=-3(2 y-5)-[5(y-1)-3 y+3]
$$

Amy Jiang
Amy Jiang
Numerade Educator
02:04

Problem 33

Solve for the indicated variable.
$$
32-[4+6 x-5(x+4)]=4(3 x+4)-[6(3 x-4)+7-4 x]
$$

Amy Jiang
Amy Jiang
Numerade Educator
02:20

Problem 34

Solve for the indicated variable.
$$
12-[3+4 m-6(3 m-2)]=-7(2 m-8)-3[(m-2)+3 m-5]
$$

Amy Jiang
Amy Jiang
Numerade Educator
02:40

Problem 35

Solve for the indicated variable.
$$
20-4[c-3-6(2 c+3)]=5(3 c-2)-[2(7 c-8)-4 c+7]
$$

Amy Jiang
Amy Jiang
Numerade Educator
02:48

Problem 36

Solve for the indicated variable.
$$
46-[7-8 y+9(6 y-2)]=-7(4 y-7)-2[6(2 y-3)-4+6 y]
$$

Amy Jiang
Amy Jiang
Numerade Educator
02:40

Problem 37

Exercises $37-48$ involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{1}{5} m=\frac{1}{60} m+1
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:27

Problem 38

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{1}{12} z=\frac{1}{24} z+3
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:45

Problem 39

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{x}{7}=\frac{2 x}{63}+4
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:24

Problem 40

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{a}{11}=\frac{a}{22}+9
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:38

Problem 41

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{1}{3} p=3-\frac{1}{24} p
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:46

Problem 42

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{3 x}{5}-x=\frac{x}{10}-\frac{5}{2}
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:57

Problem 43

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{5 y}{3}-2 y=\frac{2 y}{84}+\frac{5}{7}
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:07

Problem 44

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
2 m-\frac{5 m}{8}=\frac{3 m}{72}+\frac{4}{3}
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:23

Problem 45

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
p+\frac{p}{4}=\frac{5}{2}
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:33

Problem 46

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{c}{4}-2 c=\frac{5}{4}-\frac{c}{2}
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:15

Problem 47

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
\frac{x-3}{3}-\frac{x-4}{2}=1-\frac{x-6}{6}
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:05

Problem 48

Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation.
$$
1-\frac{x-5}{3}=\frac{x+2}{5}-\frac{6 x-1}{15}
$$

Amy Jiang
Amy Jiang
Numerade Educator
02:41

Problem 49

In Exercises $49-70,$ specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{4}{y}-5=\frac{5}{2 y}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
03:29

Problem 50

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{4}{x}+10=\frac{2}{3 x}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
02:37

Problem 51

Specify any values that must be excluded from the solution set and then solve the equation.
$$
7-\frac{1}{6 x}=\frac{10}{3 x}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
03:30

Problem 52

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{7}{6 t}=2+\frac{5}{3 t}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
03:23

Problem 53

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{2}{a}-4=\frac{4}{3 a}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
03:13

Problem 54

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{4}{x}-2=\frac{5}{2 x}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
02:33

Problem 55

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{x}{x-2}+5=\frac{2}{x-2}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
01:15

Problem 56

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{n}{n-5}+2=\frac{n}{n-5}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
02:04

Problem 57

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{2 p}{p-1}=3+\frac{2}{p-1}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
02:13

Problem 58

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{4 t}{t+2}=3-\frac{8}{t+2}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
03:37

Problem 59

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{3 x}{x+2}-4=\frac{2}{x+2}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
03:13

Problem 60

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{5 y}{2 y-1}-3=\frac{12}{2 y-1}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
05:34

Problem 61

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{1}{n}+\frac{1}{n+1}=\frac{-1}{n(n+1)}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
05:03

Problem 62

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{1}{x}+\frac{1}{x-1}=\frac{1}{x(x-1)}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
06:04

Problem 63

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{3}{a}-\frac{2}{a+3}=\frac{9}{a(a+3)}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
05:11

Problem 64

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{1}{c-2}+\frac{1}{c}=\frac{2}{c(c-2)}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
09:44

Problem 65

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{n-5}{6 n-6}=\frac{1}{9}-\frac{n-3}{4 n-4}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
05:52

Problem 66

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{5}{m}+\frac{3}{m-2}=\frac{6}{m(m-2)}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
04:02

Problem 67

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{2}{5 x+1}=\frac{1}{2 x-1}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
03:59

Problem 68

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{3}{4 n-1}=\frac{2}{2 n-5}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
01:58

Problem 69

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{t-1}{1-t}=\frac{3}{2}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
01:52

Problem 70

Specify any values that must be excluded from the solution set and then solve the equation.
$$
\frac{2-x}{x-2}=\frac{3}{4}
$$

Courtney Solomon
Courtney Solomon
Numerade Educator
01:36

Problem 71

To calculate temperature in degrees Fahrenheit, we use the formula $F=\frac{9}{5} C+32,$ where $F$ is degrees Fahrenheit and $C$ is degrees Celsius. Find the formula to convert from Fahrenheit to Celsius.

Courtney Solomon
Courtney Solomon
Numerade Educator
01:00

Problem 72

The perimeter $P$ of a rectangle is related to the length $L$ and width $W$ of the rectangle through the equation $P=2 L+2 W$. Determine the width in terms of the perimeter and length.

Courtney Solomon
Courtney Solomon
Numerade Educator
01:25

Problem 73

Your cell phone plan charges $\$ 15$ a month plus 12 cents per minute. If your monthly bill is $\$ 25.08$, how many minutes did you use?

Courtney Solomon
Courtney Solomon
Numerade Educator
02:16

Problem 74

Becky rented a car on her Ft. Lauderdale vacation. The car was $\$ 25$ a day plus 10 cents per mile. She kept the car for 5 days and her bill was $\$ 185 .$ How many miles did she drive the car?

Courtney Solomon
Courtney Solomon
Numerade Educator
01:12

Problem 75

When traveling in London, Charlotte decided to check her e-mail at an Internet café. There was a flat charge of $\$ 2$ plus a charge of 10 cents a minute. How many minutes was she logged on if her bill was $\$ 3.70 ?$

Courtney Solomon
Courtney Solomon
Numerade Educator
01:49

Problem 76

For a summer job, Dwayne decides to sell magazine subscriptions. He will be paid $\$ 20$ a day plus $\$ 1$ for each subscription he sells. If he works for 25 days and makes $\$ 645,$ how many subscriptions did he sell?

Courtney Solomon
Courtney Solomon
Numerade Educator
01:19

Problem 77

The operating costs for a local business per year are a fixed amount of $\$ 15,000$ and $\$ 2,500$ per day.
a. Find $C$ that represents operating costs for the company, which depend on the number of days open, $x$.
b. If the business accrues $\$ 5,515,000$ in annual operating costs, how many days did the business operate during the year?

Jennifer Stoner
Jennifer Stoner
Numerade Educator
03:08

Problem 78

Negotiated contracts for a technical support provider produce monthly revenue of $\$ 5000$ and $\$ 0.75$ per minute per phone call.
a. Find $R$ that represents the revenue for the technical support provider, which depends on the number of minutes of phone calls $x$.
b. In one month the provider received $\$ 98,750$ in revenue. How many minutes of technical support were provided?

Courtney Solomon
Courtney Solomon
Numerade Educator
00:51

Problem 79

In Exercises 79 and 80 refer to the following:
Medications are often packaged in liquid form (known as a suspension) so that a precise dose of a drug is delivered within a volume of inert liquid- for example, 250 milligrams amoxicillin in 5 milliliters of a liquid suspension. If a patient is prescribed a dose of a drug, medical personnel must compute the volume of the liquid with a known concentration to administer. The formula
$$a=\frac{d}{c}$$
defines the relationship between the dose of the drug prescribed $d$, the concentration of the liquid suspension $c,$ and the amount of the liquid administered $a$.
A physician has ordered a 600 -milligram dose of amoxicillin. The pharmacy has a suspension of amoxicillin with a concentration of 125 milligrams per 5 milliliters. How much liquid suspension must be administered to the patient?

Courtney Solomon
Courtney Solomon
Numerade Educator
02:07

Problem 80

Refer to the following:
Medications are often packaged in liquid form (known as a suspension) so that a precise dose of a drug is delivered within a volume of inert liquid- for example, 250 milligrams amoxicillin in 5 milliliters of a liquid suspension. If a patient is prescribed a dose of a drug, medical personnel must compute the volume of the liquid with a known concentration to administer. The formula
$$a=\frac{d}{c}$$
defines the relationship between the dose of the drug prescribed $d$, the concentration of the liquid suspension $c,$ and the amount of the liquid administered $a$.
A physician has ordered a 600-milligram dose of carbamazepine. The pharmacy has a suspension of carbamazepine with a concentration of 100 milligrams per 5 milliliters. How much liquid suspension must be administered to the patient?

Mukesh Devi
Mukesh Devi
Numerade Educator
01:03

Problem 81

The frequency $f$ of an optical signal in hertz (Hz) is related to the wavelength $\lambda$ in meters (m) of a laser through the equation $f=\frac{c}{l},$ where $c$ is the speed of light in a vacuum and is typically taken to be $c=3.0 \times 10^{8}$ meters per second $(\mathrm{m} / \mathrm{s})$. What values must be eliminated from the wavelengths?

Julie Silva
Julie Silva
Numerade Educator
02:43

Problem 82

For an object placed near a lens, an image forms on the other side of the lens at a distinct position determined by the distance from the lens to the object. The position of the image is found using the thin lens equation:
$$
\frac{1}{f}=\frac{1}{d_{o}}+\frac{1}{d_{i}}
$$
where $d_{o}$ is the distance from the object to the lens, $d_{i}$ is the distance from the lens to the image, and $f$ is the focal length of the lens. Solve for the object distance $d_{o}$ in terms of the focal length and image distance.

Breanna Ollech
Breanna Ollech
Numerade Educator
01:13

Problem 83

In Exercises 83-86, explain the mistake that is made.
Solve the equation $4 x+3=6 x-7$
Subtract $4 x$ and add 7 to the equation. $3=6 x$
Divide by $3 .$ $x=2$
This is incorrect. What mistake was made?

Julie Silva
Julie Silva
Numerade Educator
00:33

Problem 84

Explain the mistake that is made.
Solve the equation $3(x+1)+2=x-3(x-1)$
Solution:
$$
\begin{aligned}
3 x+3+2 &=x-3 x-3 \\
3 x+5 &=-2 x-3 \\
5 x &=-8 \\
x &=-\frac{8}{5}
\end{aligned}
$$
This is incorrect. What mistake was made?

Amy Jiang
Amy Jiang
Numerade Educator
01:39

Problem 85

Explain the mistake that is made.
Solve the equation $\frac{4}{p}-3=\frac{2}{5 p}$.
Solution:
Cross multiply.
$$
\begin{aligned}
(p-3) 2 &=4(5 p) \\
2 p-6 &=20 p \\
-6 &=18 p \\
p &=-\frac{6}{18} \\
p &=-\frac{1}{3}
\end{aligned}
$$
This is incorrect. What mistake was made?

Julie Silva
Julie Silva
Numerade Educator
01:34

Problem 86

Explain the mistake that is made.
Solve the equation $\frac{1}{x}+\frac{1}{x-1}=\frac{1}{x(x-1)}$
Solution:
Simplify.
$$
\begin{aligned}
\frac{x(x-1)}{x}+\frac{x(x-1)}{x-1} &=\frac{x(x-1)}{x(x-1)} \\
(x-1)+x &=1 \\
x-1+x &=1 \\
2 x &=2 \\
x &=1
\end{aligned}
$$
This is incorrect. What mistake was made?

Julie Silva
Julie Silva
Numerade Educator
01:20

Problem 87

In Exercises $87-90,$ determine whether each of the statements is true or false.
The solution to the equation $x=\frac{1}{1 / x}$ is the set of all real numbers.

Julie Silva
Julie Silva
Numerade Educator
01:36

Problem 88

Determine whether each of the statements is true or false.
The solution to the equation
$$
\frac{1}{(x-1)(x+2)}=\frac{1}{x^{2}+x-2}
$$
is the set of all real numbers.

Julie Silva
Julie Silva
Numerade Educator
01:04

Problem 89

Determine whether each of the statements is true or false.
$x=-1$ is a solution to the equation $\frac{x^{2}-1}{x-1}=x+1 .$

Courtney Solomon
Courtney Solomon
Numerade Educator
00:46

Problem 90

Determine whether each of the statements is true or false.
$x=1$ is a solution to the equation $\frac{x^{2}-1}{x-1}=x+1$.

Courtney Solomon
Courtney Solomon
Numerade Educator
00:18

Problem 91

Solve for $x$, given that $a, b$, and $c$ are real numbers and $a \neq 0$ :
$$
a x+b=c
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:31

Problem 92

Solve for $x$, given that $a, b$, and $c$ are real numbers and $c \neq 0$ :
$$
\frac{a}{x}-\frac{b}{x}=c
$$

James Kiss
James Kiss
Numerade Educator
02:10

Problem 93

Solve the equation for $x: \frac{b+c}{x+a}=\frac{b-c}{x-a}$. Are there any restrictions given that $a \neq 0, x \neq 0 ?$

Julie Silva
Julie Silva
Numerade Educator
03:14

Problem 94

Solve the equation for $y: \frac{1}{y-a}+\frac{1}{y+a}=\frac{2}{y-1}$. Does $y$ have any restrictions?

James Kiss
James Kiss
Numerade Educator
01:34

Problem 95

Solve for $x: \frac{1-1 / x}{1+1 / x}=1$.

Julie Silva
Julie Silva
Numerade Educator
01:23

Problem 96

Solve for $t: \frac{t+1 / t}{1 / t-1}=1$.

James Kiss
James Kiss
Numerade Educator
01:45

Problem 97

Solve the equation for $x$ in terms of $y$ :
$$
y=\frac{a}{1+b / x+c}
$$

James Kiss
James Kiss
Numerade Educator
00:36

Problem 98

Find the number $a$ for which $y=2$ is a solution of the equation $y-a=y+5-3 a y$.

Amy Jiang
Amy Jiang
Numerade Educator
01:13

Problem 99

In Exercises 99-106, graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
3(x+2)-5 x=3 x-4
$$

Julie Silva
Julie Silva
Numerade Educator
00:28

Problem 100

Graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
-5(x-1)-7=10-9 x
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:50

Problem 101

Graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
2 x+6=4 x-2 x+8-2
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:20

Problem 102

Graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
10-20 x=10 x-30 x+20-10
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:16

Problem 103

Graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
\frac{x(x-1)}{x^{2}}=1
$$

Julie Silva
Julie Silva
Numerade Educator
01:10

Problem 104

Graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
\frac{2 x(x+3)}{x^{2}}=2
$$

Julie Silva
Julie Silva
Numerade Educator
02:30

Problem 105

Graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
0.035 x+0.029(8706-x)=285.03
$$

Julie Silva
Julie Silva
Numerade Educator
01:59

Problem 106

Graph the function represented by each side of the equation in the same viewing rectangle and solve for $x$.
$$
\frac{1}{0.75 x}-\frac{0.45}{x}=\frac{1}{9}
$$

Julie Silva
Julie Silva
Numerade Educator