Question 1

A drill draws a current, I, of 5.7 A. The resistance, R, is 17 ?. Find its power, P, in watts. $P = I ^ { 2 } R$

Accepted Answer

A)  $P = 552 \quad W$ 
B)  $P = 567 \quad \mathrm {~W}$ 
C)  $P = 556 \quad W$ 
D)  $P = 549 \quad W$ 
E)  $P = 194 W$ 
A)  $P = 552 \quad W$ 
B)  $P = 567 \quad \mathrm {~W}$ 
C)  $P = 556 \quad W$ 
D)  $P = 549 \quad W$ 
E)  $P = 194 W$ A

Question 2

Solve the equation and check. $18 y + 7 = 26 y - 1$ y = __________

Accepted Answer

1

Question 3

Solve the equation and check. $4 ( 2 y - 5 ) + 3 ( 5 y + 35 ) = 25 ( 3 y + 5 ) - 162 y$

Accepted Answer

$\frac { 4 } { 11 }$

Question 4

James invests $4,700 in two savings accounts. One earns interest at 7% per year, while the other earns 12% per year. The total interest earned from both accounts after one year is $409. How much was originally deposited in each account?

Accepted Answer

A)  So, $3,100 was deposited in first account and $1,600 was deposited in second account. 
B)  So, $2,900 was deposited in first account and $1,600 was deposited in second account. 
C)  So, $1,600 was deposited in first account and $3,100 was deposited in second account. 
D)  So, $2,700 was deposited in first account and $2,000 was deposited in second account. 
E)  So, $2,600 was deposited in first account and $2,100 was deposited in second account. 
A)  So, $3,100 was deposited in first account and $1,600 was deposited in second account. 
B)  So, $2,900 was deposited in first account and $1,600 was deposited in second account. 
C)  So, $1,600 was deposited in first account and $3,100 was deposited in second account. 
D)  So, $2,700 was deposited in first account and $2,000 was deposited in second account. 
E)  So, $2,600 was deposited in first account and $2,100 was deposited in second account.

Question 5

Solve the equation and check. $9 + 5 ( 2 y + 8 ) = ( y + 8 ) - 22$

Accepted Answer

A)  y = -4 
B)  y = -5 
C)  y = -8 
D)  y = -7 
E)  y = 11 
A)  y = -4 
B)  y = -5 
C)  y = -8 
D)  y = -7 
E)  y = 11

Question 6

Solve the equation and check. $1 \frac { 1 } { 9 } + \frac { x } { 5 } = \frac { 14 } { 45 }$

Accepted Answer

A)  $x = 7$ 
B)  $x = - 4$ 
C)  $x = - 7$ 
D)  $x = - 6$ 
E)  $x = - 5$ 
A)  $x = 7$ 
B)  $x = - 4$ 
C)  $x = - 7$ 
D)  $x = - 6$ 
E)  $x = - 5$

Question 7

Use the formula $\frac { 1 } { C } = \frac { 1 } { C _ { 1 } } + \frac { 1 } { C _ { 2 } } + \frac { 1 } { C _ { 3 } }$ . Given $C = 1.65 \times 10 ^ { - 6 } F$ , $C _ { 1 } = 8.25 \times 10 ^ { - 6 } F$ and $C _ { 2 } = 6.55 \times 10 ^ { - 6 } \mathrm {~F}$ . Find $C _ { 3 }$ .

Accepted Answer

A)  $C _ { 3 } = 2.41 \times 10 ^ { - 6 } \quad F$ 
B)  $C _ { 3 } = 3.91 \times 10 ^ { - 6 } \quad F$ 
C)  $C _ { 3 } = 3.01 \times 10 ^ { - 6 } \quad F$ 
D)  $C _ { 3 } = 2.71 \times 10 ^ { - 6 } \quad F$ 
E)  $C _ { 3 } = 2.51 \times 10 ^ { - 6 } \quad F$ 
A)  $C _ { 3 } = 2.41 \times 10 ^ { - 6 } \quad F$ 
B)  $C _ { 3 } = 3.91 \times 10 ^ { - 6 } \quad F$ 
C)  $C _ { 3 } = 3.01 \times 10 ^ { - 6 } \quad F$ 
D)  $C _ { 3 } = 2.71 \times 10 ^ { - 6 } \quad F$ 
E)  $C _ { 3 } = 2.51 \times 10 ^ { - 6 } \quad F$

Question 8

Solve the equation and check. $6 x + 1 = 9 x - 16$

Accepted Answer

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

Question 9

Use the formula $\frac { 1 } { C } = \frac { 1 } { C _ { 1 } } + \frac { 1 } { C _ { 2 } } + \frac { 1 } { C _ { 3 } }$ . Given $C = 1.75 \times 10 ^ { - 12 } \mathrm {~F}$ , $C _ { 2 } = 8.45 \times 10 ^ { - 12 } \mathrm {~F}$ and $C _ { 3 } = 6.35 \times 10 ^ { - 12 } \mathrm {~F}$ Find $C _ { 1 }$ .

Accepted Answer

A)  $C _ { 1 } = 2.78 \times 10 ^ { - 12 } \quad F$ 
B)  $C _ { 1 } = 2.88 \times 10 ^ { - 12 } \quad F$ 
C)  $C _ { 1 } = 4.28 \times 10 ^ { - 12 } \quad F$ 
D)  $C _ { 1 } = 3.68 \times 10 ^ { - 12 } \quad F$ 
E)  $C _ { 1 } = 3.38 \times 10 ^ { - 12 } \quad F$ 
A)  $C _ { 1 } = 2.78 \times 10 ^ { - 12 } \quad F$ 
B)  $C _ { 1 } = 2.88 \times 10 ^ { - 12 } \quad F$ 
C)  $C _ { 1 } = 4.28 \times 10 ^ { - 12 } \quad F$ 
D)  $C _ { 1 } = 3.68 \times 10 ^ { - 12 } \quad F$ 
E)  $C _ { 1 } = 3.38 \times 10 ^ { - 12 } \quad F$

Question 10

Solve the equation and check. $5 x + 6 = 2 x - 21$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(5 x...

Question 11

Solve the formula for the given letter. $V = l w h \quad \text { for } l$

Accepted Answer

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

Question 12

Solve the equation and check. $6 x + 5 = 9 x - 42$

Accepted Answer

A)  $x = 18 \frac { 2 } { 3 }$ 
B)  $x = 17 \frac { 2 } { 3 }$ 
C)  $x = 19 \frac { 2 } { 3 }$ 
D)  $x = 14 \frac { 2 } { 3 }$ 
E)  $x = 15 \frac { 2 } { 3 }$ 
A)  $x = 18 \frac { 2 } { 3 }$ 
B)  $x = 17 \frac { 2 } { 3 }$ 
C)  $x = 19 \frac { 2 } { 3 }$ 
D)  $x = 14 \frac { 2 } { 3 }$ 
E)  $x = 15 \frac { 2 } { 3 }$

Question 13

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

Accepted Answer

A)  $P = \frac { R } { 2 \pi }$ 
B)  $P = \frac { 2 R } { \pi }$ 
C)  $P = \frac { \pi } { 2 R }$ 
D)  $P = 2 \pi R$ 
E)  $P = \frac { 2 \pi } { R }$ 
A)  $P = \frac { R } { 2 \pi }$ 
B)  $P = \frac { 2 R } { \pi }$ 
C)  $P = \frac { \pi } { 2 R }$ 
D)  $P = 2 \pi R$ 
E)  $P = \frac { 2 \pi } { R }$

Question 14

Solve the formula for the given letter. $P = \frac { w } { t } \text { for } t$

Accepted Answer

A)  $t = \frac { P } { w }$ 
B)  $t = w + p$ 
C)  $t = \frac { w } { P }$ 
D)  $t = w - p$ 
E)  $t = w P$ 
A)  $t = \frac { P } { w }$ 
B)  $t = w + p$ 
C)  $t = \frac { w } { P }$ 
D)  $t = w - p$ 
E)  $t = w P$

Question 15

Solve the equation and check. $2 m = 28.4$ m = __________

Accepted Answer

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

Question 16

Solve the equation and check. $2 x - 2 = 3 x - 15$

Accepted Answer

A)  x = 14 
B)  x = 17 
C)  x = 13 
D)  x = 10 
E)  x = 11 
A)  x = 14 
B)  x = 17 
C)  x = 13 
D)  x = 10 
E)  x = 11

Question 17

Solve the equation and check. $- x = 25$

Accepted Answer

A)  x = -25 
B)  x = 26 
C)  x = 29 
D)  x = -30 
E)  x = 25 
A)  x = -25 
B)  x = 26 
C)  x = 29 
D)  x = -30 
E)  x = 25

Question 18

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R _ { 1 } = 79.0 \Omega$ , $R _ { 2 } = 57 \Omega$ and $R _ { 3 } = 72 \Omega$ Find R.

Accepted Answer

A)  $R = 27.9 \Omega$ 
B)  $R = 22.7 \Omega$ 
C)  $R = 16.1 \Omega$ 
D)  $R = 19.1 \Omega$ 
E)  $R = 21.1 \Omega$ 
A)  $R = 27.9 \Omega$ 
B)  $R = 22.7 \Omega$ 
C)  $R = 16.1 \Omega$ 
D)  $R = 19.1 \Omega$ 
E)  $R = 21.1 \Omega$

Question 19

Given the formula: $V = \frac { \pi r ^ { 2 } h } { 3 }$ V = 763.8, r = 4. Find h.

Accepted Answer

A)  $h = \frac { 3 V } { \pi r ^ { 2 } } = 45.6$ 
B)  $h = \frac { 3 V r ^ { 2 } } { \pi } = 11,700$ 
C)  $h = \frac { 3 \pi V } { r ^ { 2 } } = 450$ 
D)  $h = \frac { 3 V } { \pi r } = 182$ 
E)  $h = \frac { \pi r ^ { 2 } } { 3 \mathrm {~V} } = 0.0219$ 
A)  $h = \frac { 3 V } { \pi r ^ { 2 } } = 45.6$ 
B)  $h = \frac { 3 V r ^ { 2 } } { \pi } = 11,700$ 
C)  $h = \frac { 3 \pi V } { r ^ { 2 } } = 450$ 
D)  $h = \frac { 3 V } { \pi r } = 182$ 
E)  $h = \frac { \pi r ^ { 2 } } { 3 \mathrm {~V} } = 0.0219$

Question 20

Solve the equation and check. $3 x - 9 + 8 ( 1 - x ) = - 8$

Accepted Answer

A)  $x = 2 \frac { 2 } { 5 }$ 
B)  $x = 1 \frac { 2 } { 5 }$ 
C)  $x = \frac { 2 } { 5 }$ 
D)  $x = 3 \frac { 2 } { 5 }$ 
E)  $x = 2 \frac { 3 } { 5 }$ 
A)  $x = 2 \frac { 2 } { 5 }$ 
B)  $x = 1 \frac { 2 } { 5 }$ 
C)  $x = \frac { 2 } { 5 }$ 
D)  $x = 3 \frac { 2 } { 5 }$ 
E)  $x = 2 \frac { 3 } { 5 }$

A drill draws a current, I, of 5.7 A. The resistance, R, is 17 ?. Find its power, P, in watts. $P = I ^ { 2 } R$

Solve the equation and check. $18 y + 7 = 26 y - 1$ y = __________

Solve the equation and check. $4 ( 2 y - 5 ) + 3 ( 5 y + 35 ) = 25 ( 3 y + 5 ) - 162 y$

James invests $4,700 in two savings accounts. One earns interest at 7% per year, while the other earns 12% per year. The total interest earned from both accounts after one year is $409. How much was originally deposited in each account?

Solve the equation and check. $9 + 5 ( 2 y + 8 ) = ( y + 8 ) - 22$

Solve the equation and check. $1 \frac { 1 } { 9 } + \frac { x } { 5 } = \frac { 14 } { 45 }$

Use the formula $\frac { 1 } { C } = \frac { 1 } { C _ { 1 } } + \frac { 1 } { C _ { 2 } } + \frac { 1 } { C _ { 3 } }$ . Given $C = 1.65 \times 10 ^ { - 6 } F$ , $C _ { 1 } = 8.25 \times 10 ^ { - 6 } F$ and $C _ { 2 } = 6.55 \times 10 ^ { - 6 } \mathrm {~F}$ . Find $C _ { 3 }$ .

Solve the equation and check. $6 x + 1 = 9 x - 16$

Solve the equation and check. $5 x + 6 = 2 x - 21$ x = __________

Solve the formula for the given letter. $V = l w h \quad \text { for } l$

Solve the equation and check. $6 x + 5 = 9 x - 42$

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

Solve the formula for the given letter. $P = \frac { w } { t } \text { for } t$

Solve the equation and check. $2 m = 28.4$ m = __________

Solve the equation and check. $2 x - 2 = 3 x - 15$

Solve the equation and check. $- x = 25$

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R _ { 1 } = 79.0 \Omega$ , $R _ { 2 } = 57 \Omega$ and $R _ { 3 } = 72 \Omega$ Find R.

Given the formula: $V = \frac { \pi r ^ { 2 } h } { 3 }$ V = 763.8, r = 4. Find h.

Solve the equation and check. $3 x - 9 + 8 ( 1 - x ) = - 8$

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

A drill draws a current, I, of 5.7 A. The resistance, R, is 17 ?. Find its power, P, in watts. P=I2RP = I ^ { 2 } RP=I2R

Solve the equation and check. 18y+7=26y−118 y + 7 = 26 y - 118y+7=26y−1 y = __________

Solve the equation and check. 4(2y−5)+3(5y+35)=25(3y+5)−162y4 ( 2 y - 5 ) + 3 ( 5 y + 35 ) = 25 ( 3 y + 5 ) - 162 y4(2y−5)+3(5y+35)=25(3y+5)−162y

James invests $4,700 in two savings accounts. One earns interest at 7% per year, while the other earns 12% per year. The total interest earned from both accounts after one year is $409. How much was originally deposited in each account?

Solve the equation and check. 9+5(2y+8)=(y+8)−229 + 5 ( 2 y + 8 ) = ( y + 8 ) - 229+5(2y+8)=(y+8)−22

Solve the equation and check. 119+x5=14451 \frac { 1 } { 9 } + \frac { x } { 5 } = \frac { 14 } { 45 }191​+5x​=4514​

Solve the equation and check. 6x+1=9x−166 x + 1 = 9 x - 166x+1=9x−16

Solve the equation and check. 5x+6=2x−215 x + 6 = 2 x - 215x+6=2x−21 x = __________

Solve the formula for the given letter. V=lwh for lV = l w h \quad \text { for } lV=lwh for l

Solve the equation and check. 6x+5=9x−426 x + 5 = 9 x - 426x+5=9x−42

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

Solve the formula for the given letter. P=wt for tP = \frac { w } { t } \text { for } tP=tw​ for t

Solve the equation and check. 2m=28.42 m = 28.42m=28.4 m = __________

Solve the equation and check. 2x−2=3x−152 x - 2 = 3 x - 152x−2=3x−15

Solve the equation and check. −x=25- x = 25−x=25

Given the formula: V=πr2h3V = \frac { \pi r ^ { 2 } h } { 3 }V=3πr2h​ V = 763.8, r = 4. Find h.

Solve the equation and check. 3x−9+8(1−x)=−83 x - 9 + 8 ( 1 - x ) = - 83x−9+8(1−x)=−8

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

A drill draws a current, I, of 5.7 A. The resistance, R, is 17 ?. Find its power, P, in watts. $P = I ^ { 2 } R$

Solve the equation and check. $18 y + 7 = 26 y - 1$ y = __________

Solve the equation and check. $4 ( 2 y - 5 ) + 3 ( 5 y + 35 ) = 25 ( 3 y + 5 ) - 162 y$

Solve the equation and check. $9 + 5 ( 2 y + 8 ) = ( y + 8 ) - 22$

Solve the equation and check. $1 \frac { 1 } { 9 } + \frac { x } { 5 } = \frac { 14 } { 45 }$

Solve the equation and check. $6 x + 1 = 9 x - 16$

Solve the equation and check. $5 x + 6 = 2 x - 21$ x = __________

Solve the formula for the given letter. $V = l w h \quad \text { for } l$

Solve the equation and check. $6 x + 5 = 9 x - 42$

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

Solve the formula for the given letter. $P = \frac { w } { t } \text { for } t$

Solve the equation and check. $2 m = 28.4$ m = __________

Solve the equation and check. $2 x - 2 = 3 x - 15$

Solve the equation and check. $- x = 25$

Given the formula: $V = \frac { \pi r ^ { 2 } h } { 3 }$ V = 763.8, r = 4. Find h.

Solve the equation and check. $3 x - 9 + 8 ( 1 - x ) = - 8$