Question 1

Solve the equation and check. $7 ( 26 - x ) = 5 x + 74$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(7 (...

Question 2

Solve the equation and check. $28 = - 6 ( x - 4 )$

Accepted Answer

The answer of Solve the equation and check. \(28 =...

Question 3

Cut a 13-ft beam into two pieces so that one piece is 12 in. longer than the other. Find the length of the two pieces.

Accepted Answer

A)  Length of the first piece is 72 in., length of the second piece is 60 in. 
B)  Length of the first piece is 78 in., length of the second piece is 78 in. 
C)  Length of the first piece is 72 in., length of the second piece is 84 in. 
D)  Length of the first piece is 96 in., length of the second piece is 108 in. 
E)  Length of the first piece is 96 in., length of the second piece is 84 in. 
A)  Length of the first piece is 72 in., length of the second piece is 60 in. 
B)  Length of the first piece is 78 in., length of the second piece is 78 in. 
C)  Length of the first piece is 72 in., length of the second piece is 84 in. 
D)  Length of the first piece is 96 in., length of the second piece is 108 in. 
E)  Length of the first piece is 96 in., length of the second piece is 84 in.

Question 4

Given the formula: $I = \frac { V } { R }$ R = 79, I = 4.1. Find V.

Accepted Answer

A)  $V = \frac { R } { I } = 19$ 
B)  $V = I R = 320$ 
C)  $V = I R = 410$ 
D)  $V = I R = 324$ 
E)  $V = \frac { I } { R } = 0.052$ 
A)  $V = \frac { R } { I } = 19$ 
B)  $V = I R = 320$ 
C)  $V = I R = 410$ 
D)  $V = I R = 324$ 
E)  $V = \frac { I } { R } = 0.052$

Question 5

Distribute $270 into three parts so that the first part will be $\text { twice }$ as large as the second, and the third part will be $\text { four times }$ as large as the sum of the other two.

Accepted Answer

A)  First part = $32, Second part = $16, Third part = $222 
B)  First part = $46, Second part = $23, Third part = $201 
C)  First part = $38, Second part = $19, Third part = $213 
D)  First part = $39, Second part = $21, Third part = $210 
E)  First part = $36, Second part = $18, Third part = $216 
A)  First part = $32, Second part = $16, Third part = $222 
B)  First part = $46, Second part = $23, Third part = $201 
C)  First part = $38, Second part = $19, Third part = $213 
D)  First part = $39, Second part = $21, Third part = $210 
E)  First part = $36, Second part = $18, Third part = $216

Question 6

Solve the equation and check. $\frac { y } { 18 } = - 19$ y = __________

Accepted Answer

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

Question 7

Solve the formula for the given letter. $F t = m \left( V _ { 2 } - V _ { 1 } \right) \text { for } V _ { 2 }$

Accepted Answer

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

Question 8

Solve the equation and check. $\frac { 9 } { 19 } y = 3 \frac { 6 } { 19 }$

Accepted Answer

A)  $y = 7$ 
B)  $y = 10$ 
C)  $y = 8$ 
D)  $y = 9$ 
E)  $y = 6$ 
A)  $y = 7$ 
B)  $y = 10$ 
C)  $y = 8$ 
D)  $y = 9$ 
E)  $y = 6$

Question 9

Solve the formula for the given letter. $C = \pi d \text { for } d$

Accepted Answer

A)  $d = \frac { \pi } { C }$ 
B)  $d = C - \pi$ 
C)  $d = \frac { C } { \pi }$ 
D)  $d = \pi C$ 
E)  $d = C + \pi$ 
A)  $d = \frac { \pi } { C }$ 
B)  $d = C - \pi$ 
C)  $d = \frac { C } { \pi }$ 
D)  $d = \pi C$ 
E)  $d = C + \pi$

Question 10

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given $R = 86.0 \Omega$ and $R _ { 1 } = 132 \Omega$ Find $R _ { 2 }$ .

Accepted Answer

A)  $R _ { 2 } = 172 \Omega$ 
B)  $R _ { 2 } = 197 \Omega$ 
C)  $R _ { 2 } = 218 \Omega$ 
D)  $R _ { 2 } = 247 \Omega$ 
E)  $R _ { 2 } = 221 \Omega$ 
A)  $R _ { 2 } = 172 \Omega$ 
B)  $R _ { 2 } = 197 \Omega$ 
C)  $R _ { 2 } = 218 \Omega$ 
D)  $R _ { 2 } = 247 \Omega$ 
E)  $R _ { 2 } = 221 \Omega$

Question 11

Solve the equation and check. $- 6 x + 4 = 2 x - 1$

Accepted Answer

A)  $x = \frac { 11 } { 1 }$ 
B)  $x = \frac { 8 } { 5 }$ 
C)  $x = \frac { 1 } { 10 }$ 
D)  $x = \frac { 1 } { 11 }$ 
E)  $x = \frac { 5 } { 8 }$ 
A)  $x = \frac { 11 } { 1 }$ 
B)  $x = \frac { 8 } { 5 }$ 
C)  $x = \frac { 1 } { 10 }$ 
D)  $x = \frac { 1 } { 11 }$ 
E)  $x = \frac { 5 } { 8 }$

Question 12

Given the formula: $V = I R , I = 2.2 , \quad V = 5.98$ Find R.

Accepted Answer

A)  $R = \frac { I } { V } = 0.368$ 
B)  $R = \frac { V } { I } = 2.32$ 
C)  $R = V I = 13.2$ 
D)  $R = \frac { V } { I } = 2.72$ 
E)  $R = \frac { I } { V } = 0.431$ 
A)  $R = \frac { I } { V } = 0.368$ 
B)  $R = \frac { V } { I } = 2.32$ 
C)  $R = V I = 13.2$ 
D)  $R = \frac { V } { I } = 2.72$ 
E)  $R = \frac { I } { V } = 0.431$

Question 13

Solve the equation and check. $\frac { 8 } { y } - 2 = 6$

Accepted Answer

A)  $y = 5$ 
B)  y = 1 
C)  $y = 2$ 
D)  $y = 4$ 
E)  $y = 3$ 
A)  $y = 5$ 
B)  y = 1 
C)  $y = 2$ 
D)  $y = 4$ 
E)  $y = 3$

Question 14

In testing an engine, various mixtures of gasoline and methanol are being tried. How much of a 45% gasoline mixture and a 30% gasoline mixture are needed for 2,100 L of an 35% gasoline mixture?

Accepted Answer

A)  So, 1,050 L of 45% gasoline mixture is needed and 1,050 L of 30% gasoline mixture is needed. 
B)  So, 1,138 L of 45% gasoline mixture is needed and 962 L of 30% gasoline mixture is needed. 
C)  So, 962 L of 45% gasoline mixture is needed and 1,138 L of 30% gasoline mixture is needed. 
D)  So, 700 L of 45% gasoline mixture is needed and 1,400 L of 30% gasoline mixture is needed. 
E)  So, 1,400 L of 45% gasoline mixture is needed and 700 L of 30% gasoline mixture is needed. 
A)  So, 1,050 L of 45% gasoline mixture is needed and 1,050 L of 30% gasoline mixture is needed. 
B)  So, 1,138 L of 45% gasoline mixture is needed and 962 L of 30% gasoline mixture is needed. 
C)  So, 962 L of 45% gasoline mixture is needed and 1,138 L of 30% gasoline mixture is needed. 
D)  So, 700 L of 45% gasoline mixture is needed and 1,400 L of 30% gasoline mixture is needed. 
E)  So, 1,400 L of 45% gasoline mixture is needed and 700 L of 30% gasoline mixture is needed.

Question 15

Solve the equation and check. $7 x + 39 = 4 ( 18 - x )$

Accepted Answer

A)  x = 3 
B)  x = 6.4 
C)  x = 5 
D)  x = 8 
E)  x = -11 
A)  x = 3 
B)  x = 6.4 
C)  x = 5 
D)  x = 8 
E)  x = -11

Question 16

Solve the equation and check. $14 y + 5 = 20 y - 1$

Accepted Answer

A)  y = 1 
B)  y = 8 
C)  y = 5 
D)  y = 3.2 
E)  y = 4 
A)  y = 1 
B)  y = 8 
C)  y = 5 
D)  y = 3.2 
E)  y = 4

Question 17

Solve the formula for the given letter. $R = \frac { \pi } { 2 P } \text { for } P$

Accepted Answer

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

Question 18

Solve the equation and check. $4 x + 16 = 3 ( 17 - x )$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(4 x...

Question 19

The total cost of three automobile batteries is $86. The most expensive one is three times the cost of the least expensive. The third is $6 more than the least expensive. Find the cost of each battery.
The cost of the least expensive = $ __________
The cost of the most expensive = $ __________
The cost of the third one = $ __________

Accepted Answer

The answer of The total cost of three automobile batteries...

Question 20

Solve the equation and check. $38 - 7 y = 88$

Accepted Answer

A)  $y = 6 \frac { 1 } { 7 }$ 
B)  $y = - 6 \frac { 1 } { 6 }$ 
C)  $y = - 6 \frac { 1 } { 7 }$ 
D)  $y = \frac { 50 } { 7 }$ 
E)  $y = - 7 \frac { 1 } { 7 }$ 
A)  $y = 6 \frac { 1 } { 7 }$ 
B)  $y = - 6 \frac { 1 } { 6 }$ 
C)  $y = - 6 \frac { 1 } { 7 }$ 
D)  $y = \frac { 50 } { 7 }$ 
E)  $y = - 7 \frac { 1 } { 7 }$

Solve the equation and check. $7 ( 26 - x ) = 5 x + 74$ x = __________

Solve the equation and check. $28 = - 6 ( x - 4 )$

Cut a 13-ft beam into two pieces so that one piece is 12 in. longer than the other. Find the length of the two pieces.

Given the formula: $I = \frac { V } { R }$ R = 79, I = 4.1. Find V.

Distribute $270 into three parts so that the first part will be $\text { twice }$ as large as the second, and the third part will be $\text { four times }$ as large as the sum of the other two.

Solve the equation and check. $\frac { y } { 18 } = - 19$ y = __________

Solve the formula for the given letter. $F t = m \left( V _ { 2 } - V _ { 1 } \right) \text { for } V _ { 2 }$

Solve the equation and check. $\frac { 9 } { 19 } y = 3 \frac { 6 } { 19 }$

Solve the formula for the given letter. $C = \pi d \text { for } d$

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given $R = 86.0 \Omega$ and $R _ { 1 } = 132 \Omega$ Find $R _ { 2 }$ .

Solve the equation and check. $- 6 x + 4 = 2 x - 1$

Given the formula: $V = I R , I = 2.2 , \quad V = 5.98$ Find R.

Solve the equation and check. $\frac { 8 } { y } - 2 = 6$

In testing an engine, various mixtures of gasoline and methanol are being tried. How much of a 45% gasoline mixture and a 30% gasoline mixture are needed for 2,100 L of an 35% gasoline mixture?

Solve the equation and check. $7 x + 39 = 4 ( 18 - x )$

Solve the equation and check. $14 y + 5 = 20 y - 1$

Solve the formula for the given letter. $R = \frac { \pi } { 2 P } \text { for } P$

Solve the equation and check. $4 x + 16 = 3 ( 17 - x )$ x = __________

Solve the equation and check. $38 - 7 y = 88$

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 equation and check. 7(26−x)=5x+747 ( 26 - x ) = 5 x + 747(26−x)=5x+74 x = __________

Solve the equation and check. 28=−6(x−4)28 = - 6 ( x - 4 )28=−6(x−4)

Cut a 13-ft beam into two pieces so that one piece is 12 in. longer than the other. Find the length of the two pieces.

Given the formula: I=VRI = \frac { V } { R }I=RV​ R = 79, I = 4.1. Find V.

Distribute $270 into three parts so that the first part will be twice \text { twice } twice as large as the second, and the third part will be four times \text { four times } four times as large as the sum of the other two.

Solve the equation and check. y18=−19\frac { y } { 18 } = - 1918y​=−19 y = __________

Solve the formula for the given letter. Ft=m(V2−V1) for V2F t = m \left( V _ { 2 } - V _ { 1 } \right) \text { for } V _ { 2 }Ft=m(V2​−V1​) for V2​

Solve the equation and check. 919y=3619\frac { 9 } { 19 } y = 3 \frac { 6 } { 19 }199​y=3196​

Solve the formula for the given letter. C=πd for dC = \pi d \text { for } dC=πd for d

Use the formula 1R=1R1+1R2\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }R1​=R1​1​+R2​1​ . Given R=86.0ΩR = 86.0 \OmegaR=86.0Ω and R1=132ΩR _ { 1 } = 132 \OmegaR1​=132Ω Find R2R _ { 2 }R2​ .

Solve the equation and check. −6x+4=2x−1- 6 x + 4 = 2 x - 1−6x+4=2x−1

Given the formula: V=IR,I=2.2,V=5.98V = I R , I = 2.2 , \quad V = 5.98V=IR,I=2.2,V=5.98 Find R.

Solve the equation and check. 8y−2=6\frac { 8 } { y } - 2 = 6y8​−2=6

In testing an engine, various mixtures of gasoline and methanol are being tried. How much of a 45% gasoline mixture and a 30% gasoline mixture are needed for 2,100 L of an 35% gasoline mixture?

Solve the equation and check. 7x+39=4(18−x)7 x + 39 = 4 ( 18 - x )7x+39=4(18−x)

Solve the equation and check. 14y+5=20y−114 y + 5 = 20 y - 114y+5=20y−1

Solve the formula for the given letter. R=π2P for PR = \frac { \pi } { 2 P } \text { for } PR=2Pπ​ for P

Solve the equation and check. 4x+16=3(17−x)4 x + 16 = 3 ( 17 - x )4x+16=3(17−x) x = __________

Solve the equation and check. 38−7y=8838 - 7 y = 8838−7y=88

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 equation and check. $7 ( 26 - x ) = 5 x + 74$ x = __________

Solve the equation and check. $28 = - 6 ( x - 4 )$

Given the formula: $I = \frac { V } { R }$ R = 79, I = 4.1. Find V.

Distribute $270 into three parts so that the first part will be $\text { twice }$ as large as the second, and the third part will be $\text { four times }$ as large as the sum of the other two.

Solve the equation and check. $\frac { y } { 18 } = - 19$ y = __________

Solve the formula for the given letter. $F t = m \left( V _ { 2 } - V _ { 1 } \right) \text { for } V _ { 2 }$

Solve the equation and check. $\frac { 9 } { 19 } y = 3 \frac { 6 } { 19 }$

Solve the formula for the given letter. $C = \pi d \text { for } d$

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given $R = 86.0 \Omega$ and $R _ { 1 } = 132 \Omega$ Find $R _ { 2 }$ .

Solve the equation and check. $- 6 x + 4 = 2 x - 1$

Given the formula: $V = I R , I = 2.2 , \quad V = 5.98$ Find R.

Solve the equation and check. $\frac { 8 } { y } - 2 = 6$

Solve the equation and check. $7 x + 39 = 4 ( 18 - x )$

Solve the equation and check. $14 y + 5 = 20 y - 1$

Solve the formula for the given letter. $R = \frac { \pi } { 2 P } \text { for } P$

Solve the equation and check. $4 x + 16 = 3 ( 17 - x )$ x = __________

Solve the equation and check. $38 - 7 y = 88$