Question 1

Solve the equation and check. $6 - 6 w = - 78$ w = __________

Accepted Answer

The answer of Solve the equation and check. \(6 -...

Question 2

Solve this equation. $\frac { 3 } { 2 } v - \frac { 2 } { 3 } = \frac { 5 } { 6 }$   $v$ =

Accepted Answer

The answer of Solve this equation. \(\frac { 3 }...

Question 3

Solve the equation and check. $\frac { x } { 3 } + \frac { 5 x + 10 } { 10 } = \frac { x - 1 } { 6 } - \frac { 3 - 2 x } { 2 }$

Accepted Answer

A)  $x = 11$ 
B)  $x = 10$ 
C)  $x = 13$ 
D)  $x = 18$ 
E)  $x = 8$ 
A)  $x = 11$ 
B)  $x = 10$ 
C)  $x = 13$ 
D)  $x = 18$ 
E)  $x = 8$

Question 4

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

Accepted Answer

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

Question 5

Solve the equation and check. $7 ( x - 9 ) = 37$

Accepted Answer

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

Question 6

Solve the equation and check. $4 ( y + 6 ) = 8 ( y - 8 ) + 9$

Accepted Answer

A)  $y = 19 \frac { 1 } { 4 }$ 
B)  $y = 20 \frac { 3 } { 4 }$ 
C)  $y = 19 \frac { 3 } { 4 }$ 
D)  $y = 21 \frac { 3 } { 4 }$ 
E)  $y = 22 \frac { 3 } { 4 }$ 
A)  $y = 19 \frac { 1 } { 4 }$ 
B)  $y = 20 \frac { 3 } { 4 }$ 
C)  $y = 19 \frac { 3 } { 4 }$ 
D)  $y = 21 \frac { 3 } { 4 }$ 
E)  $y = 22 \frac { 3 } { 4 }$

Question 7

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

Accepted Answer

A)  $I = \frac { V } { R }$ 
B)  $I = V R$ 
C)  $I = V + R$ 
D)  $I = \frac { R } { V }$ 
E)  $I = V - \mathrm { R }$ 
A)  $I = \frac { V } { R }$ 
B)  $I = V R$ 
C)  $I = V + R$ 
D)  $I = \frac { R } { V }$ 
E)  $I = V - \mathrm { R }$

Question 8

Follow the rules for working with measurements. The $R$ value of insulation is given by the formula $R = \frac { L } { K }$ , where L is the thickness of the insulating material and K is the thermal conductivity of the material. Find the R value of $18 \mathrm { in }$ of mineral wool insulation. K = 0.026. Note:L must be in feet.

Accepted Answer

A)  $R = 5.6$ 
B)  $R = 63$ 
C)  $R = 59$ 
D)  $R = 58$ 
E)  $R = 57$ 
A)  $R = 5.6$ 
B)  $R = 63$ 
C)  $R = 59$ 
D)  $R = 58$ 
E)  $R = 57$

Question 9

Solve the equation and check. $5 ( 28 - x ) = 4 x + 95$

Accepted Answer

A)  x = 7 
B)  x = 5 
C)  x = 4 
D)  x = 9 
E)  x = 8 
A)  x = 7 
B)  x = 5 
C)  x = 4 
D)  x = 9 
E)  x = 8

Question 10

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

Accepted Answer

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

Question 11

Solve the formula for the given letter. $R = \frac { k I } { D ^ { 2 } } \text { for } I$

Accepted Answer

A)  $I = \frac { R } { k D ^ { 2 } }$ 
B)  $I = \frac { f D ^ { 2 } } { R }$ 
C)  $I = \frac { R k } { D ^ { 2 } }$ 
D)  $I = k R D ^ { 2 }$ 
E)  $I = \frac { R d ^ { 2 } } { k }$ 
A)  $I = \frac { R } { k D ^ { 2 } }$ 
B)  $I = \frac { f D ^ { 2 } } { R }$ 
C)  $I = \frac { R k } { D ^ { 2 } }$ 
D)  $I = k R D ^ { 2 }$ 
E)  $I = \frac { R d ^ { 2 } } { k }$

Question 12

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

Accepted Answer

A)  $\nu _ { 2 } = \frac { F t } { m } - v _ { 1 }$ 
B)  $\nu _ { 2 } = \frac { F t + v _ { 1 } } { m }$ 
C)  $\nu _ { 2 } = \frac { m } { F t } + \nu _ { 1 }$ 
D)  $v _ { 2 } = \frac { m } { F _ { t } } - v _ { 1 }$ 
E)  $\nu _ { 2 } = \frac { F t } { m } + \nu _ { 1 }$ 
A)  $\nu _ { 2 } = \frac { F t } { m } - v _ { 1 }$ 
B)  $\nu _ { 2 } = \frac { F t + v _ { 1 } } { m }$ 
C)  $\nu _ { 2 } = \frac { m } { F t } + \nu _ { 1 }$ 
D)  $v _ { 2 } = \frac { m } { F _ { t } } - v _ { 1 }$ 
E)  $\nu _ { 2 } = \frac { F t } { m } + \nu _ { 1 }$

Question 13

Solve the equation and check. $25 = - 5 - 17 s$

Accepted Answer

A)  $s = \frac { 20 } { 17 }$ 
B)  $s = - \frac { 17 } { 20 }$ 
C)  $s = - \frac { 3 } { 17 }$ 
D)  $s = \frac { 30 } { 17 }$ 
E)  $s = - \frac { 30 } { 17 }$ 
A)  $s = \frac { 20 } { 17 }$ 
B)  $s = - \frac { 17 } { 20 }$ 
C)  $s = - \frac { 3 } { 17 }$ 
D)  $s = \frac { 30 } { 17 }$ 
E)  $s = - \frac { 30 } { 17 }$

Question 14

Solve the equation and check. $21$ + 5x = $7$ + 3x

Accepted Answer

A)  x = -7 
B)  x = -4 
C)  x = -2 
D)  x = 2 
E)  x = -6 
A)  x = -7 
B)  x = -4 
C)  x = -2 
D)  x = 2 
E)  x = -6

Question 15

A rectangle is   as long as it is wide. Its perimeter (the sum of the lengths of its sides) is 88 cm. Find its length and width.

Accepted Answer

A)  The length is 25 cm and the width is 25 cm. 
B)  The length is 24 cm and the width is 24 cm. 
C)  The length is 22 cm and the width is 22 cm. 
D)  The length is 19 cm and the width is 19 cm. 
E)  The length is 21 cm and the width is 21 cm. 
A)  The length is 25 cm and the width is 25 cm. 
B)  The length is 24 cm and the width is 24 cm. 
C)  The length is 22 cm and the width is 22 cm. 
D)  The length is 19 cm and the width is 19 cm. 
E)  The length is 21 cm and the width is 21 cm.

Question 16

Regular milk has 4% butterfat. How many liters of regular milk must be mixed with 10 L of milk with 1% butterfat to have milk with 3.5% butterfat?

Accepted Answer

A)  50 L 
B)  90 L 
C)  57 L 
D)  6 L 
E)  59 L 
A)  50 L 
B)  90 L 
C)  57 L 
D)  6 L 
E)  59 L

Question 17

Solve the equation and check. $3 + \frac { 3 } { x } = 4 \frac { 1 } { 2 }$

Accepted Answer

A)  x = 5 
B)  x = 3 
C)  x = 6 
D)  x = 4 
E)  x = 2 
A)  x = 5 
B)  x = 3 
C)  x = 6 
D)  x = 4 
E)  x = 2

Question 18

Solve the formula for the given letter. $K = \frac { 5 } { 9 } ( F + 460 ) \text { for } F$

Accepted Answer

A)  $F = \frac { 9 } { 5 } K + 460$ 
B)  $F = \frac { 9 } { 5 } K + 32$ 
C)  $F = \frac { 9 } { 5 } K - 460$ 
D)  $F = \frac { 3 } { 9 } K - 460$ 
E)  $F = \frac { 9 } { 5 } ( K - 460 )$ 
A)  $F = \frac { 9 } { 5 } K + 460$ 
B)  $F = \frac { 9 } { 5 } K + 32$ 
C)  $F = \frac { 9 } { 5 } K - 460$ 
D)  $F = \frac { 3 } { 9 } K - 460$ 
E)  $F = \frac { 9 } { 5 } ( K - 460 )$

Question 19

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given $s _ { 0 } = 6$ cm and $s _ { i } = 12$ cm, find $f$ .

Accepted Answer

A)  $f = 18 \mathrm {~cm}$ 
B)  $f = 3 \mathrm {~cm}$ 
C)  $f = 7 \mathrm {~cm}$ 
D)  $f = 2 \mathrm {~cm}$ 
E)  $f = 4 \mathrm {~cm}$ 
A)  $f = 18 \mathrm {~cm}$ 
B)  $f = 3 \mathrm {~cm}$ 
C)  $f = 7 \mathrm {~cm}$ 
D)  $f = 2 \mathrm {~cm}$ 
E)  $f = 4 \mathrm {~cm}$

Question 20

Solve the equation and check. $y + 16 = 6$

Accepted Answer

A)  y = 22 
B)  y = -10 
C)  y = -9 
D)  y = 10 
E)  y = 8 
A)  y = 22 
B)  y = -10 
C)  y = -9 
D)  y = 10 
E)  y = 8

Solve the equation and check. $6 - 6 w = - 78$ w = __________

Solve this equation. $\frac { 3 } { 2 } v - \frac { 2 } { 3 } = \frac { 5 } { 6 }$ $v$ =

Solve the equation and check. $\frac { x } { 3 } + \frac { 5 x + 10 } { 10 } = \frac { x - 1 } { 6 } - \frac { 3 - 2 x } { 2 }$

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

Solve the equation and check. $7 ( x - 9 ) = 37$

Solve the equation and check. $4 ( y + 6 ) = 8 ( y - 8 ) + 9$

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

Solve the equation and check. $5 ( 28 - x ) = 4 x + 95$

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

Solve the formula for the given letter. $R = \frac { k I } { D ^ { 2 } } \text { for } I$

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. $25 = - 5 - 17 s$

Solve the equation and check. $21$ + 5x = $7$ + 3x

A rectangle is as long as it is wide. Its perimeter (the sum of the lengths of its sides) is 88 cm. Find its length and width.

Regular milk has 4% butterfat. How many liters of regular milk must be mixed with 10 L of milk with 1% butterfat to have milk with 3.5% butterfat?

Solve the equation and check. $3 + \frac { 3 } { x } = 4 \frac { 1 } { 2 }$

Solve the formula for the given letter. $K = \frac { 5 } { 9 } ( F + 460 ) \text { for } F$

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given $s _ { 0 } = 6$ cm and $s _ { i } = 12$ cm, find $f$ .

Solve the equation and check. $y + 16 = 6$

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. 6−6w=−786 - 6 w = - 786−6w=−78 w = __________

Solve this equation. 32v−23=56\frac { 3 } { 2 } v - \frac { 2 } { 3 } = \frac { 5 } { 6 }23​v−32​=65​ vvv =

Solve the equation and check. x3+5x+1010=x−16−3−2x2\frac { x } { 3 } + \frac { 5 x + 10 } { 10 } = \frac { x - 1 } { 6 } - \frac { 3 - 2 x } { 2 }3x​+105x+10​=6x−1​−23−2x​

Solve the formula for the given letter. V=IR for IV = I R \quad \text { for } IV=IR for I

Solve the equation and check. 7(x−9)=377 ( x - 9 ) = 377(x−9)=37

Solve the equation and check. 4(y+6)=8(y−8)+94 ( y + 6 ) = 8 ( y - 8 ) + 94(y+6)=8(y−8)+9

Solve the formula for the given letter. V=IR for IV = I R \text { for } IV=IR for I

Solve the equation and check. 5(28−x)=4x+955 ( 28 - x ) = 4 x + 955(28−x)=4x+95

Solve the formula for the given letter. RT=R1+R2+R3+R4 for R4R _ { T } = R _ { 1 } + R _ { 2 } + R _ { 3 } + R _ { 4 } \text { for } R _ { 4 }RT​=R1​+R2​+R3​+R4​ for R4​

Solve the formula for the given letter. R=kID2 for IR = \frac { k I } { D ^ { 2 } } \text { for } IR=D2kI​ for I

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. 25=−5−17s25 = - 5 - 17 s25=−5−17s

Solve the equation and check. 212121 + 5x = 777 + 3x

A rectangle is as long as it is wide. Its perimeter (the sum of the lengths of its sides) is 88 cm. Find its length and width.

Regular milk has 4% butterfat. How many liters of regular milk must be mixed with 10 L of milk with 1% butterfat to have milk with 3.5% butterfat?

Solve the equation and check. 3+3x=4123 + \frac { 3 } { x } = 4 \frac { 1 } { 2 }3+x3​=421​

Solve the formula for the given letter. K=59(F+460) for FK = \frac { 5 } { 9 } ( F + 460 ) \text { for } FK=95​(F+460) for F

Use the formula 1f=1s0+1si\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }f1​=s0​1​+si​1​ . Given s0=6s _ { 0 } = 6s0​=6 cm and si=12s _ { i } = 12si​=12 cm, find fff .

Solve the equation and check. y+16=6y + 16 = 6y+16=6

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. $6 - 6 w = - 78$ w = __________

Solve this equation. $\frac { 3 } { 2 } v - \frac { 2 } { 3 } = \frac { 5 } { 6 }$ $v$ =

Solve the equation and check. $\frac { x } { 3 } + \frac { 5 x + 10 } { 10 } = \frac { x - 1 } { 6 } - \frac { 3 - 2 x } { 2 }$

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

Solve the equation and check. $7 ( x - 9 ) = 37$

Solve the equation and check. $4 ( y + 6 ) = 8 ( y - 8 ) + 9$

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

Solve the equation and check. $5 ( 28 - x ) = 4 x + 95$

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

Solve the formula for the given letter. $R = \frac { k I } { D ^ { 2 } } \text { for } I$

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. $25 = - 5 - 17 s$

Solve the equation and check. $21$ + 5x = $7$ + 3x

Solve the equation and check. $3 + \frac { 3 } { x } = 4 \frac { 1 } { 2 }$

Solve the formula for the given letter. $K = \frac { 5 } { 9 } ( F + 460 ) \text { for } F$

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given $s _ { 0 } = 6$ cm and $s _ { i } = 12$ cm, find $f$ .

Solve the equation and check. $y + 16 = 6$