Mathematics for Machine Technology

John C. Peterson, Robert D. Smith

Chapter 44 Solution of Equations by the Subtraction, Addition, and Division Principles of Equality - all with Video Answers

Educators

Chapter Questions

02:37

Problem 1

Write the expression "A number divided by 7 plus twice the number equals 75 " as an equation with the unknown as $x$.

Shahab Ullah

Numerade Educator

02:31

Use scientific notation to solve $\frac{\left(6.325 \times 10^8\right) \times\left(9.4 \times 10^9\right)}{-5 \times 10^{-5}}$. Leave the answer in scientific notation with the answer (mantissa) rounded to 2 decimal places.

Alayna Handiak

Numerade Educator

01:49

Problem 3

Use the proper order of operations to solve $7^2+\sqrt{6.25}-\frac{(-5.1)^2}{9.605+\sqrt{11.56}}$. If necessary, round the answer to 2 decimal places.

Ankit Gupta

Numerade Educator

00:25

Problem 4

If $a=7.5$ and $b=9.45$, what is the value of $\frac{a+4 b}{b-2 a}$ ? If necessary, round the answer to 2 decimal places.

Amrita Bhasin

Numerade Educator

Problem 5

Read the setting in Figure 44-8 of the customary vernier micrometer scale graduated in $0.0001^{\prime \prime}$.

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00:25

Problem 6

Measure this line segment to the nearest $0.5 \mathrm{~mm}$.

Noraney Ocampo

Numerade Educator

00:51

Problem 7

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$P+15=22$

Matt Gibson

Numerade Educator

00:38

Problem 8

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$x+18=27$

Matt Gibson

Numerade Educator

00:55

Problem 9

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$M+24=43$

Palitha Reddy

Numerade Educator

00:47

Problem 10

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$y+48=82$

Palitha Reddy

Numerade Educator

00:55

Problem 11

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$13=T+9$

Zach Steedman

Numerade Educator

01:48

Problem 12

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$37=D+2$

Amanda Stone

Numerade Educator

00:59

Problem 13

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$62=a+19$

Cory Kuzinski

Numerade Educator

00:35

Problem 14

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$y+16=15$

Melissa Stefan

Numerade Educator

00:36

Problem 15

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$y+30=-23$

Brandon Fox

Numerade Educator

00:29

Problem 16

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$x+63=17$

Palitha Reddy

Numerade Educator

00:53

Problem 17

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$10+R=53$

Khanh Ha

Numerade Educator

01:50

Problem 18

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$51=48+E$

Eli Heath

Numerade Educator

02:33

Problem 19

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$-36=14+x$

Karly Williams

Numerade Educator

01:32

Problem 20

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$H+7.6=14.7$

Cory Kuzinski

Numerade Educator

01:06

Problem 21

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$22.5=L+3.7$

Casey Evans

Numerade Educator

01:12

Problem 22

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$-36.2=y+6.2$

Eva R

Numerade Educator

00:48

Problem 23

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$T+9.07=9.07$

Casey Evans

Numerade Educator

00:53

Problem 24

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$H+3 \frac{1}{4}=6 \frac{1}{2}$

Robert Leedy

Numerade Educator

01:44

Problem 26

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$-\frac{7}{8}=x+\frac{3}{4}$

Aryan Malesha

Numerade Educator

00:29

Problem 26

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$20 \frac{3}{16}=A+17 \frac{1}{8}$

Victor Salazar

Numerade Educator

01:49

Problem 27

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$39 \frac{5}{8}=y+40 \frac{7}{8}$

James Kiss

Numerade Educator

00:48

Problem 28

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$1 \frac{7}{16}=W+\frac{9}{16}$

Melissa Stefan

Numerade Educator

01:48

Problem 29

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$x+13 \frac{1}{8}=-10$

Avinash Vishwakarma

Numerade Educator

00:40

Problem 30

Solve each of the following equations using the subtraction principle of equality. Check each answer.
$0.023=1.009+H$

Nick Johnson

Numerade Educator

02:36

Problem 31

All dimensions are in inches.
Find $x$. $\qquad$ $x=$ $\qquad$

Supratim Pal

Numerade Educator

Problem 32

All dimensions are in millimeters.
Find $y$. $\qquad$ $y=$ $\qquad$

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01:31

Problem 33

All dimensions are in inches.
Find $r$. $\qquad$ $r=$ $\qquad$

Erika Bustos

Numerade Educator

Problem 34

All dimensions are in inches.
Find $T$. $\qquad$ $T=$ $\qquad$

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Problem 35

All dimensions are in millimeters.
Find $x$. $\qquad$ $x=$ $\qquad$

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View

Problem 36

All dimensions are in inches.
Find $H$.
$H=$ $\qquad$

Victor Salazar

Numerade Educator

Problem 37

The height of two gage blocks is 0.8508 inch. One block is 0.750 inch thick. What is the thickness of the other block?

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00:53

Problem 38

Three holes are drilled on a horizontal line in a housing. The center distance between the first hole and the second hole is 193.75 millimeters, and the center distance between the first hole and the third hole is 278.12 millimeters. What is the distance between the second hole and the third hole?

Wendi Zhao

Numerade Educator

01:44

Problem 39

A metal bar is $7 \frac{5}{8}$ inches long. If $\frac{9}{32}$ inch is cut off one end, how long is the bar after the cut?

Manisha Sarker

Numerade Educator

01:33

Problem 40

A shaft rotates in a bearing that is 0.3968 inch in diameter. The total clearance between the shaft and bearing is 0.0008 inch. What is the diameter of the shaft?

Narayan Hari

Numerade Educator

02:08

Problem 41

One of the formulas used in computing spur gear dimensions is $D_{\mathrm{O}}=D+2 a$. Determine $D$ when $a=0.1429$ inch and $D_0=4.7144$ inches.

Prabhu Ramji

Numerade Educator

02:05

Problem 42

A formula used to compute the dimensions of a ring is $D=d+2 T$. Determine $d$ when $D=52.0$ millimeters and $T=9.40$ millimeters.

Heather Zimmers

Numerade Educator

02:08

Problem 43

A formula used in relation to the depth of a gear tooth is $W D=a+d$. Determine $d$ when $W D=0.3082$ inch and $a=0.1429$ inch.

Prabhu Ramji

Numerade Educator

Problem 44

A sheet metal formula used in computing the size of a stretch-out is $L . S .=4 s+W$. Determine $W$ when $s=3$ inches and L.S. $=12 \frac{1}{8}$ inches.

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01:17

Problem 45

Solve each of the following equations using the addition principle of equality. Check each answer.
$25=d-9$

Megan Caylor

Numerade Educator

01:08

Problem 46

Solve each of the following equations using the addition principle of equality. Check each answer.
$T-12=34$

Joshua Fischbach

Numerade Educator

01:09

Problem 47

Solve each of the following equations using the addition principle of equality. Check each answer.
$x-9=-19$

Aryan Malesha

Numerade Educator

00:38

Problem 48

Solve each of the following equations using the addition principle of equality. Check each answer.
$B-4=9$

Brandon Fox

Numerade Educator

00:33

Problem 49

Solve each of the following equations using the addition principle of equality. Check each answer.
$P-48=87$

Jose Avalos

Numerade Educator

00:36

Problem 50

Solve each of the following equations using the addition principle of equality. Check each answer.
$y-23=-20$

Brandon Fox

Numerade Educator

01:08

Problem 51

Solve each of the following equations using the addition principle of equality. Check each answer.
$16=M-12$

Khanh Ha

Numerade Educator

00:58

Problem 52

Solve each of the following equations using the addition principle of equality. Check each answer.
$-40=E-21$

Christopher Stanley

Numerade Educator

00:20

Problem 53

Solve each of the following equations using the addition principle of equality. Check each answer.
$47=R-36$

Brandon Fox

Numerade Educator

00:52

Problem 54

Solve each of the following equations using the addition principle of equality. Check each answer.
$h-8=12$

Grace Muhihu

Numerade Educator

00:42

Problem 55

Solve each of the following equations using the addition principle of equality. Check each answer.
$39=F-39$

Geno Ellis

Numerade Educator

00:36

Problem 56

Solve each of the following equations using the addition principle of equality. Check each answer.
$W-18=33$

Brandon Fox

Numerade Educator

00:27

Problem 57

Solve each of the following equations using the addition principle of equality. Check each answer.
$N-2.4=6.9$

Brandon Fox

Numerade Educator

01:48

Problem 58

Solve each of the following equations using the addition principle of equality. Check each answer.
$A-0.8=0.3$

Catheryn Taylor

Numerade Educator

00:34

Problem 59

Solve each of the following equations using the addition principle of equality. Check each answer.
$x-10.09=-13.78$

Sophia Rafiqi

Numerade Educator