Question 1

Solve the formula for the given letter. $I = \frac { V } { R } \text { for } R$

Accepted Answer

The answer of Solve the formula for the given letter....

Question 2

Cut a board 36 ft long into three pieces so that the longest piece will be twice as long as each of the other two of equal lengths. Find the length of each piece.

Accepted Answer

A)  The length of the equal pieces are 18 ft and the length of third piece is 9 ft. 
B)  The length of the equal pieces are 14 ft and the length of third piece is 14 ft. 
C)  The length of the equal pieces are 9 ft and the length of third piece is 18 ft. 
D)  The length of the equal pieces are 12 ft and the length of third piece is 14 ft. 
E)  The length of the equal pieces are 12 ft and the length of third piece is 10 ft. 
A)  The length of the equal pieces are 18 ft and the length of third piece is 9 ft. 
B)  The length of the equal pieces are 14 ft and the length of third piece is 14 ft. 
C)  The length of the equal pieces are 9 ft and the length of third piece is 18 ft. 
D)  The length of the equal pieces are 12 ft and the length of third piece is 14 ft. 
E)  The length of the equal pieces are 12 ft and the length of third piece is 10 ft.

Question 3

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given R = 12 ? and $R _ { 2 }$ = 36 ?. Find $R _ { 1 }$ .

Accepted Answer

A)  $R _ { 1 } = 18 \Omega$ 
B)  $R _ { 1 } = 19 \Omega$ 
C)  $R _ { 1 } = 16 \Omega$ 
D)  $R _ { 1 } = 21 \Omega$ 
E)  $R _ { 1 } = 9 \Omega$ 
A)  $R _ { 1 } = 18 \Omega$ 
B)  $R _ { 1 } = 19 \Omega$ 
C)  $R _ { 1 } = 16 \Omega$ 
D)  $R _ { 1 } = 21 \Omega$ 
E)  $R _ { 1 } = 9 \Omega$

Question 4

Solve the formula for the given letter.   $C _ { T } = C _ { 1 } + C _ { 2 } + C _ { 3 } + C _ { 4 } \text { for } C _ { 4 }$

Accepted Answer

A)  $C _ { 4 } = C _ { T } + C _ { 1 } - C _ { 2 } - C _ { 3 }$ 
B)  $C _ { 4 } = C _ { I } + C _ { 1 } + C _ { 2 } - C _ { 3 }$ 
C)  $C _ { 4 } = C _ { 2 } - C _ { 1 } - C _ { 2 } + C _ { 3 }$ 
D)  $C _ { 4 } = C _ { I } - C _ { 1 } - C _ { 2 } - C _ { 3 }$ 
E)  $C _ { 4 } = C _ { I } - C _ { 1 } + C _ { 2 } + C _ { 3 }$ 
A)  $C _ { 4 } = C _ { T } + C _ { 1 } - C _ { 2 } - C _ { 3 }$ 
B)  $C _ { 4 } = C _ { I } + C _ { 1 } + C _ { 2 } - C _ { 3 }$ 
C)  $C _ { 4 } = C _ { 2 } - C _ { 1 } - C _ { 2 } + C _ { 3 }$ 
D)  $C _ { 4 } = C _ { I } - C _ { 1 } - C _ { 2 } - C _ { 3 }$ 
E)  $C _ { 4 } = C _ { I } - C _ { 1 } + C _ { 2 } + C _ { 3 }$

Question 5

Solve the equation and check. $8 x - 4 = 13$

Accepted Answer

A)  $x = 2 \frac { 1 } { 4 }$ 
B)  $x = 3 \frac { 1 } { 8 }$ 
C)  $x = 2 \frac { 1 } { 8 }$ 
D)  $x = 3 \frac { 1 } { 4 }$ 
E)  $x = 1 \frac { 1 } { 8 }$ 
A)  $x = 2 \frac { 1 } { 4 }$ 
B)  $x = 3 \frac { 1 } { 8 }$ 
C)  $x = 2 \frac { 1 } { 8 }$ 
D)  $x = 3 \frac { 1 } { 4 }$ 
E)  $x = 1 \frac { 1 } { 8 }$

Question 6

Solve the formula for the given letter. $S = \frac { a + b } { 2 } h \text { for }$

Accepted Answer

The answer of Solve the formula for the given letter....

Question 7

Solve the equation and check. $\frac { 2 x } { 3 } - 7 = - \frac { x } { 2 }$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(\frac {...

Question 8

Follow the rules for working with measurements. A flashlight bulb is connected to a $1.5 - V$ source. Its current, I, is $0.29 \mathrm {~A}$ What is its resistance, R, in ohms? V = IR .

Accepted Answer

A)  $R = 1.21 \Omega$ 
B)  $R = 4.17 \Omega$ 
C)  $R = 4.77 \Omega$ 
D)  $R = 5.17 \Omega$ 
E)  $R = 4.87 \Omega$ 
A)  $R = 1.21 \Omega$ 
B)  $R = 4.17 \Omega$ 
C)  $R = 4.77 \Omega$ 
D)  $R = 5.17 \Omega$ 
E)  $R = 4.87 \Omega$

Question 9

A 9-quart cooling system is checked and found to be filled with a solution that is 10% antifreeze. The desired strength of the solution is 70% antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desires strength?

Accepted Answer

A)  8 qt 
B)  7 qt 
C)  10 qt 
D)  6 qt 
E)  13 qt 
A)  8 qt 
B)  7 qt 
C)  10 qt 
D)  6 qt 
E)  13 qt

Question 10

Solve the equation and check. $2 x - 2 = 3 x - 11$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(2 x...

Question 11

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given $s 0$ = 27.5 cm and $S _ { i }$ = 38.5 cm, find f.

Accepted Answer

A)  f = 33 cm 
B)  f = 11 cm 
C)  f = 96.3 cm 
D)  f = 16 cm 
E)  f = 17.1 cm 
A)  f = 33 cm 
B)  f = 11 cm 
C)  f = 96.3 cm 
D)  f = 16 cm 
E)  f = 17.1 cm

Question 12

Solve the equation and check. $\frac { x } { 9 } - 7 = 8$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(\frac {...

Question 13

Solve the equation and check. $- x = 60$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(- x...

Question 14

Solve the equation and check. $\frac { 9 x } { 10 } + \frac { 1 } { 5 } ( 10 + x ) = 57$

Accepted Answer

A)  $x = 54$ 
B)  $x = 60$ 
C)  $x = 50$ 
D)  $x = 55$ 
E)  $x = 52$ 
A)  $x = 54$ 
B)  $x = 60$ 
C)  $x = 50$ 
D)  $x = 55$ 
E)  $x = 52$

Question 15

Solve the equation and check. $\frac { 9 } { 2 x } + 25 \frac { 1 } { 2 } = \frac { 9 } { x } - 15$

Accepted Answer

The answer of Solve the equation and check. \(\frac {...

Question 16

Solve the formula for the given letter. $X _ { C } = \frac { 1 } { 2 \pi f C } \text { for } f$

Accepted Answer

A)  $f = \frac { 1 } { \pi C X _ { \varphi } }$ 
B)  $f = \frac { 2 } { \pi C X _ { \varphi } }$ 
C)  $f = \frac { C } { 2 \pi X _ { c } }$ 
D)  $f = \frac { 1 } { 2 \pi C X _ { C } }$ 
E)  $f = \frac { \pi } { 2 C X _ { c } }$ 
A)  $f = \frac { 1 } { \pi C X _ { \varphi } }$ 
B)  $f = \frac { 2 } { \pi C X _ { \varphi } }$ 
C)  $f = \frac { C } { 2 \pi X _ { c } }$ 
D)  $f = \frac { 1 } { 2 \pi C X _ { C } }$ 
E)  $f = \frac { \pi } { 2 C X _ { c } }$

Question 17

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 1,150 \Omega$ , $R _ { 1 } = 3,850 \Omega$ and $R _ { 3 } = 4,250 \Omega$ . Find $R _ { 2 }$ .

Accepted Answer

A)  $R _ { 2 } = 3,170 \Omega$ 
B)  $R _ { 2 } = 2,540 \Omega$ 
C)  $R _ { 2 } = 2,670 \Omega$ 
D)  $R _ { 2 } = 3,370 \Omega$ 
E)  $R _ { 2 } = 1,320 \Omega$ 
A)  $R _ { 2 } = 3,170 \Omega$ 
B)  $R _ { 2 } = 2,540 \Omega$ 
C)  $R _ { 2 } = 2,670 \Omega$ 
D)  $R _ { 2 } = 3,370 \Omega$ 
E)  $R _ { 2 } = 1,320 \Omega$

Question 18

Solve the equation and check. $\frac { 11 x } { 12 } + \frac { 1 } { 6 } ( 12 + x ) = 54$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(\frac {...

Question 19

Solve the equation and check. $- 14 y + 8 = 8 y - 14$

Accepted Answer

A)  y = -1 
B)  y = 5 
C)  y = 9 
D)  y = 6 
E)  y = 1 
A)  y = -1 
B)  y = 5 
C)  y = 9 
D)  y = 6 
E)  y = 1

Question 20

Solve the formula for the given letter. $\nu _ { f } = \nu _ { i } + \text { at for } \nu _ { i }$

Accepted Answer

The answer of Solve the formula for the given letter....

Solve the formula for the given letter. $I = \frac { V } { R } \text { for } R$

Cut a board 36 ft long into three pieces so that the longest piece will be twice as long as each of the other two of equal lengths. Find the length of each piece.

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given R = 12 ? and $R _ { 2 }$ = 36 ?. Find $R _ { 1 }$ .

Solve the formula for the given letter. $C _ { T } = C _ { 1 } + C _ { 2 } + C _ { 3 } + C _ { 4 } \text { for } C _ { 4 }$

Solve the equation and check. $8 x - 4 = 13$

Solve the formula for the given letter. $S = \frac { a + b } { 2 } h \text { for }$

Solve the equation and check. $\frac { 2 x } { 3 } - 7 = - \frac { x } { 2 }$ x = __________

Follow the rules for working with measurements. A flashlight bulb is connected to a $1.5 - V$ source. Its current, I, is $0.29 \mathrm {~A}$ What is its resistance, R, in ohms? V = IR .

A 9-quart cooling system is checked and found to be filled with a solution that is 10% antifreeze. The desired strength of the solution is 70% antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desires strength?

Solve the equation and check. $2 x - 2 = 3 x - 11$ x = __________

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given $s 0$ = 27.5 cm and $S _ { i }$ = 38.5 cm, find f.

Solve the equation and check. $\frac { x } { 9 } - 7 = 8$ x = __________

Solve the equation and check. $- x = 60$ x = __________

Solve the equation and check. $\frac { 9 x } { 10 } + \frac { 1 } { 5 } ( 10 + x ) = 57$

Solve the equation and check. $\frac { 9 } { 2 x } + 25 \frac { 1 } { 2 } = \frac { 9 } { x } - 15$

Solve the formula for the given letter. $X _ { C } = \frac { 1 } { 2 \pi f C } \text { for } f$

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 1,150 \Omega$ , $R _ { 1 } = 3,850 \Omega$ and $R _ { 3 } = 4,250 \Omega$ . Find $R _ { 2 }$ .

Solve the equation and check. $\frac { 11 x } { 12 } + \frac { 1 } { 6 } ( 12 + x ) = 54$ x = __________

Solve the equation and check. $- 14 y + 8 = 8 y - 14$

Solve the formula for the given letter. $\nu _ { f } = \nu _ { i } + \text { at for } \nu _ { i }$

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 6: Equations and Formulas

Solve the formula for the given letter. I=VR for RI = \frac { V } { R } \text { for } RI=RV​ for R

Cut a board 36 ft long into three pieces so that the longest piece will be twice as long as each of the other two of equal lengths. Find the length of each piece.

Use the formula 1R=1R1+1R2\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }R1​=R1​1​+R2​1​ . Given R = 12 ? and R2R _ { 2 }R2​ = 36 ?. Find R1R _ { 1 }R1​ .

Solve the formula for the given letter. CT=C1+C2+C3+C4 for C4C _ { T } = C _ { 1 } + C _ { 2 } + C _ { 3 } + C _ { 4 } \text { for } C _ { 4 }CT​=C1​+C2​+C3​+C4​ for C4​

Solve the equation and check. 8x−4=138 x - 4 = 138x−4=13

Solve the formula for the given letter. S=a+b2h for S = \frac { a + b } { 2 } h \text { for }S=2a+b​h for

Solve the equation and check. 2x3−7=−x2\frac { 2 x } { 3 } - 7 = - \frac { x } { 2 }32x​−7=−2x​ x = __________

Follow the rules for working with measurements. A flashlight bulb is connected to a 1.5−V1.5 - V1.5−V source. Its current, I, is 0.29 A0.29 \mathrm {~A}0.29 A What is its resistance, R, in ohms? V = IR .

A 9-quart cooling system is checked and found to be filled with a solution that is 10% antifreeze. The desired strength of the solution is 70% antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desires strength?

Solve the equation and check. 2x−2=3x−112 x - 2 = 3 x - 112x−2=3x−11 x = __________

Use the formula 1f=1s0+1si\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }f1​=s0​1​+si​1​ . Given s0s 0s0 = 27.5 cm and SiS _ { i }Si​ = 38.5 cm, find f.

Solve the equation and check. x9−7=8\frac { x } { 9 } - 7 = 89x​−7=8 x = __________

Solve the equation and check. −x=60- x = 60−x=60 x = __________

Solve the equation and check. 9x10+15(10+x)=57\frac { 9 x } { 10 } + \frac { 1 } { 5 } ( 10 + x ) = 57109x​+51​(10+x)=57

Solve the equation and check. 92x+2512=9x−15\frac { 9 } { 2 x } + 25 \frac { 1 } { 2 } = \frac { 9 } { x } - 152x9​+2521​=x9​−15

Solve the formula for the given letter. XC=12πfC for fX _ { C } = \frac { 1 } { 2 \pi f C } \text { for } fXC​=2πfC1​ for f

Solve the equation and check. 11x12+16(12+x)=54\frac { 11 x } { 12 } + \frac { 1 } { 6 } ( 12 + x ) = 541211x​+61​(12+x)=54 x = __________

Solve the equation and check. −14y+8=8y−14- 14 y + 8 = 8 y - 14−14y+8=8y−14

Solve the formula for the given letter. νf=νi+ at for νi\nu _ { f } = \nu _ { i } + \text { at for } \nu _ { i }νf​=νi​+ at for νi​

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Solve the formula for the given letter. $I = \frac { V } { R } \text { for } R$

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given R = 12 ? and $R _ { 2 }$ = 36 ?. Find $R _ { 1 }$ .

Solve the formula for the given letter. $C _ { T } = C _ { 1 } + C _ { 2 } + C _ { 3 } + C _ { 4 } \text { for } C _ { 4 }$

Solve the equation and check. $8 x - 4 = 13$

Solve the formula for the given letter. $S = \frac { a + b } { 2 } h \text { for }$

Solve the equation and check. $\frac { 2 x } { 3 } - 7 = - \frac { x } { 2 }$ x = __________

Follow the rules for working with measurements. A flashlight bulb is connected to a $1.5 - V$ source. Its current, I, is $0.29 \mathrm {~A}$ What is its resistance, R, in ohms? V = IR .

Solve the equation and check. $2 x - 2 = 3 x - 11$ x = __________

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given $s 0$ = 27.5 cm and $S _ { i }$ = 38.5 cm, find f.

Solve the equation and check. $\frac { x } { 9 } - 7 = 8$ x = __________

Solve the equation and check. $- x = 60$ x = __________

Solve the equation and check. $\frac { 9 x } { 10 } + \frac { 1 } { 5 } ( 10 + x ) = 57$

Solve the equation and check. $\frac { 9 } { 2 x } + 25 \frac { 1 } { 2 } = \frac { 9 } { x } - 15$

Solve the formula for the given letter. $X _ { C } = \frac { 1 } { 2 \pi f C } \text { for } f$

Solve the equation and check. $\frac { 11 x } { 12 } + \frac { 1 } { 6 } ( 12 + x ) = 54$ x = __________

Solve the equation and check. $- 14 y + 8 = 8 y - 14$

Solve the formula for the given letter. $\nu _ { f } = \nu _ { i } + \text { at for } \nu _ { i }$