Question 1

Given the formula: $S = \frac { n } { 2 } ( a + l ) , S = 629 , n = 27 , l = 29$ Find a.

Accepted Answer

A)  $a = \frac { n - l } { 2 S } = 0.064$ 
B)  $a = \frac { 2 S } { n } - l = 18$ 
C)  $a = \frac { S } { n } - 2 l = 16$ 
D)  $a = \frac { n - l } { 2 S } = 0.057$ 
E)  $a = \frac { S } { 2 n } - l = 17$ 
A)  $a = \frac { n - l } { 2 S } = 0.064$ 
B)  $a = \frac { 2 S } { n } - l = 18$ 
C)  $a = \frac { S } { n } - 2 l = 16$ 
D)  $a = \frac { n - l } { 2 S } = 0.057$ 
E)  $a = \frac { S } { 2 n } - l = 17$

Question 2

Solve the equation and check. $14 + 14 ( 3 - 2 x ) + 11 = 3 - x + 5 ( 2 - 3 x )$

Accepted Answer

The answer of Solve the equation and check. \(14 +...

Question 3

Solve the equation and check. $45 - 18 y = - 45$ y = __________

Accepted Answer

The answer of Solve the equation and check. \(45 -...

Question 4

Solve the equation and check. $5 x + 7 = 7 x - 1$

Accepted Answer

A)  x = 6 
B)  x = 7 
C)  x = 4 
D)  x = 3 
E)  x = 5 
A)  x = 6 
B)  x = 7 
C)  x = 4 
D)  x = 3 
E)  x = 5

Question 5

Distribute $198 into three parts so that the first part will be   as large as the second, and the third part will be twice as large as the sum of the other two.
 
The first part is $ __________
The second part is $ __________
The third part is $ __________

Accepted Answer

The answer of Distribute $198 into three parts so that...

Question 6

Solve the formula for the given letter. $A = \frac { 1 } { 2 } b h \text { for } h$

Accepted Answer

A)  $h = \frac { A } { 2 b }$ 
B)  $h = \frac { 2 A } { b }$ 
C)  $h = \frac { 2 b } { A }$ 
D)  $h = \frac { 2 } { A b }$ 
E)  $h = 2 A b$ 
A)  $h = \frac { A } { 2 b }$ 
B)  $h = \frac { 2 A } { b }$ 
C)  $h = \frac { 2 b } { A }$ 
D)  $h = \frac { 2 } { A b }$ 
E)  $h = 2 A b$

Question 7

Solve the equation and check. $3 + \frac { 6 } { x } = 4 \frac { 1 } { 5 }$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(3 +...

Question 8

Solve the equation and check. $- 3 x + 17 = 6 x - 55$

Accepted Answer

A)  x = 7 
B)  x = 13 
C)  x = 8 
D)  x = 10 
E)  x = 5 
A)  x = 7 
B)  x = 13 
C)  x = 8 
D)  x = 10 
E)  x = 5

Question 9

Solve the equation and check. $5 x + 3 = 2 x - 27$

Accepted Answer

A)  x = -13 
B)  x = 13 
C)  x = -8 
D)  x = -9 
E)  x = -10 
A)  x = -13 
B)  x = 13 
C)  x = -8 
D)  x = -9 
E)  x = -10

Question 10

Use the formula $\frac { 1 } { C } = \frac { 1 } { C _ { 1 } } + \frac { 1 } { C _ { 2 } } + \frac { 1 } { C _ { 3 } }$ . Given $c = 4.75 \times 10 ^ { - 9 } \quad F$ , $C _ { 1 } = 5.78 \times 10 ^ { - 8 } F$ and $C _ { 3 } = 7.19 \times 10 ^ { - 9 } \quad F$ . Find $C _ { 2 }$ .

Accepted Answer

A)  $C _ { 2 } = 3.15 \times 10 ^ { - 9 } \quad F$ 
B)  $C _ { 2 } = 1.85 \times 10 ^ { - 8 } \quad F$ 
C)  $C _ { 2 } = 5.15 \times 10 ^ { - 9 } \quad F$ 
D)  $C _ { 2 } = 2.95 \times 10 ^ { - 8 } \quad F$ 
E)  $C _ { 2 } = 1.39 \times 10 ^ { - 8 } \quad F$ 
A)  $C _ { 2 } = 3.15 \times 10 ^ { - 9 } \quad F$ 
B)  $C _ { 2 } = 1.85 \times 10 ^ { - 8 } \quad F$ 
C)  $C _ { 2 } = 5.15 \times 10 ^ { - 9 } \quad F$ 
D)  $C _ { 2 } = 2.95 \times 10 ^ { - 8 } \quad F$ 
E)  $C _ { 2 } = 1.39 \times 10 ^ { - 8 } \quad F$

Question 11

A steel railroad expands and contracts according to the formula ?l = l??T, where ?l is the change in length, ? is a constant called the coefficient of linear expansion, l is the original length, and ?T is the change in temperature. If a 10 ft steel rail is installed at 0 o F how many inches will it expand when the temperature raises to 180 o F? $\alpha = 6.5 \times 10 ^ { - 6 } / { } ^ { 0 } \mathrm {~F}$

Accepted Answer

A)  ?l = 0.01 in. 
B)  ?l = 0.54 in. 
C)  ?l = 0.14 in. 
D)  ?l = 0.24 in. 
E)  ?l = 2.14 in. 
A)  ?l = 0.01 in. 
B)  ?l = 0.54 in. 
C)  ?l = 0.14 in. 
D)  ?l = 0.24 in. 
E)  ?l = 2.14 in.

Question 12

The total cost of three automobile batteries is $182. The most expensive one is five times the cost of the least expensive. The third is $7 more than the least expensive. Find the cost of each battery.

Accepted Answer

A)  The least expensive battery costs $25, the most expensive battery costs $125, and the third battery costs $32. 
B)  The least expensive battery costs $32, the most expensive battery costs $125, and the third battery costs $25. 
C)  The least expensive battery costs $27, the most expensive battery costs $121, and the third battery costs $34. 
D)  The least expensive battery costs $32, the most expensive battery costs $25, and the third battery costs $125. 
E)  The least expensive battery costs $125, the most expensive battery costs $32, and the third battery costs $25. 
A)  The least expensive battery costs $25, the most expensive battery costs $125, and the third battery costs $32. 
B)  The least expensive battery costs $32, the most expensive battery costs $125, and the third battery costs $25. 
C)  The least expensive battery costs $27, the most expensive battery costs $121, and the third battery costs $34. 
D)  The least expensive battery costs $32, the most expensive battery costs $25, and the third battery costs $125. 
E)  The least expensive battery costs $125, the most expensive battery costs $32, and the third battery costs $25.

Question 13

Solve the equation and check. $2 x + 4 = 7 x - 15$

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

Solve the equation and check. $1 \frac { 1 } { 3 } - \frac { x } { 7 } = \frac { 10 } { 21 }$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(1 \frac...

Question 16

Solve the equation and check. $7 ( 2 x + 7 ) = 25 + 2 ( 8 x + 5 )$ x = __________

Accepted Answer

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

Question 17

Solve the equation and check. $x + 27 = 2$ x = __________

Accepted Answer

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

Question 18

Solve the equation. $\frac { x } { 10 } = \frac { 7 } { 5 }$ x = __________

Accepted Answer

The answer of Solve the equation. \(\frac { x }...

Question 19

Solve the equation and check. $y + 29 = 11$ y = __________

Accepted Answer

The answer of Solve the equation and check. \(y +...

Question 20

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 1,810 \Omega$ , $R _ { 1 } = 4,220 \Omega$ and $R _ { 2 } = 9,610 \Omega$ . Find $R _ { 3 }$ .

Accepted Answer

A)  $R _ { 3 } = 1,460 \Omega$ 
B)  $R _ { 3 } = 4,730 \Omega$ 
C)  $R _ { 3 } = 5,430 \Omega$ 
D)  $R _ { 3 } = 4,600 \Omega$ 
E)  $R _ { 3 } = 5230 \Omega$ 
A)  $R _ { 3 } = 1,460 \Omega$ 
B)  $R _ { 3 } = 4,730 \Omega$ 
C)  $R _ { 3 } = 5,430 \Omega$ 
D)  $R _ { 3 } = 4,600 \Omega$ 
E)  $R _ { 3 } = 5230 \Omega$

Given the formula: $S = \frac { n } { 2 } ( a + l ) , S = 629 , n = 27 , l = 29$ Find a.

Solve the equation and check. $14 + 14 ( 3 - 2 x ) + 11 = 3 - x + 5 ( 2 - 3 x )$

Solve the equation and check. $45 - 18 y = - 45$ y = __________

Solve the equation and check. $5 x + 7 = 7 x - 1$

Distribute $198 into three parts so that the first part will be as large as the second, and the third part will be twice as large as the sum of the other two. The first part is $ The second part is $ The third part is $ __

Solve the formula for the given letter. $A = \frac { 1 } { 2 } b h \text { for } h$

Solve the equation and check. $3 + \frac { 6 } { x } = 4 \frac { 1 } { 5 }$ x = __________

Solve the equation and check. $- 3 x + 17 = 6 x - 55$

Solve the equation and check. $5 x + 3 = 2 x - 27$

Use the formula $\frac { 1 } { C } = \frac { 1 } { C _ { 1 } } + \frac { 1 } { C _ { 2 } } + \frac { 1 } { C _ { 3 } }$ . Given $c = 4.75 \times 10 ^ { - 9 } \quad F$ , $C _ { 1 } = 5.78 \times 10 ^ { - 8 } F$ and $C _ { 3 } = 7.19 \times 10 ^ { - 9 } \quad F$ . Find $C _ { 2 }$ .

The total cost of three automobile batteries is $182. The most expensive one is five times the cost of the least expensive. The third is $7 more than the least expensive. Find the cost of each battery.

Solve the equation and check. $2 x + 4 = 7 x - 15$

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

Solve the equation and check. $1 \frac { 1 } { 3 } - \frac { x } { 7 } = \frac { 10 } { 21 }$ x = __________

Solve the equation and check. $7 ( 2 x + 7 ) = 25 + 2 ( 8 x + 5 )$ x = __________

Solve the equation and check. $x + 27 = 2$ x = __________

Solve the equation. $\frac { x } { 10 } = \frac { 7 } { 5 }$ x = __________

Solve the equation and check. $y + 29 = 11$ y = __________

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 1,810 \Omega$ , $R _ { 1 } = 4,220 \Omega$ and $R _ { 2 } = 9,610 \Omega$ . Find $R _ { 3 }$ .

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

Given the formula: S=n2(a+l),S=629,n=27,l=29S = \frac { n } { 2 } ( a + l ) , S = 629 , n = 27 , l = 29S=2n​(a+l),S=629,n=27,l=29 Find a.

Solve the equation and check. 14+14(3−2x)+11=3−x+5(2−3x)14 + 14 ( 3 - 2 x ) + 11 = 3 - x + 5 ( 2 - 3 x )14+14(3−2x)+11=3−x+5(2−3x)

Solve the equation and check. 45−18y=−4545 - 18 y = - 4545−18y=−45 y = __________

Solve the equation and check. 5x+7=7x−15 x + 7 = 7 x - 15x+7=7x−1

Distribute $198 into three parts so that the first part will be as large as the second, and the third part will be twice as large as the sum of the other two. The first part is $ __________ The second part is $ __________ The third part is $ __________

Solve the formula for the given letter. A=12bh for hA = \frac { 1 } { 2 } b h \text { for } hA=21​bh for h

Solve the equation and check. 3+6x=4153 + \frac { 6 } { x } = 4 \frac { 1 } { 5 }3+x6​=451​ x = __________

Solve the equation and check. −3x+17=6x−55- 3 x + 17 = 6 x - 55−3x+17=6x−55

Solve the equation and check. 5x+3=2x−275 x + 3 = 2 x - 275x+3=2x−27

The total cost of three automobile batteries is $182. The most expensive one is five times the cost of the least expensive. The third is $7 more than the least expensive. Find the cost of each battery.

Solve the equation and check. 2x+4=7x−152 x + 4 = 7 x - 152x+4=7x−15

Solve the formula for the given letter. P=wtP = \frac { w } { t }P=tw​ for ttt

Solve the equation and check. 113−x7=10211 \frac { 1 } { 3 } - \frac { x } { 7 } = \frac { 10 } { 21 }131​−7x​=2110​ x = __________

Solve the equation and check. 7(2x+7)=25+2(8x+5)7 ( 2 x + 7 ) = 25 + 2 ( 8 x + 5 )7(2x+7)=25+2(8x+5) x = __________

Solve the equation and check. x+27=2x + 27 = 2x+27=2 x = __________

Solve the equation. x10=75\frac { x } { 10 } = \frac { 7 } { 5 }10x​=57​ x = __________

Solve the equation and check. y+29=11y + 29 = 11y+29=11 y = __________

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

Given the formula: $S = \frac { n } { 2 } ( a + l ) , S = 629 , n = 27 , l = 29$ Find a.

Solve the equation and check. $14 + 14 ( 3 - 2 x ) + 11 = 3 - x + 5 ( 2 - 3 x )$

Solve the equation and check. $45 - 18 y = - 45$ y = __________

Solve the equation and check. $5 x + 7 = 7 x - 1$

Distribute $198 into three parts so that the first part will be as large as the second, and the third part will be twice as large as the sum of the other two. The first part is $ The second part is $ The third part is $ __

Solve the formula for the given letter. $A = \frac { 1 } { 2 } b h \text { for } h$

Solve the equation and check. $3 + \frac { 6 } { x } = 4 \frac { 1 } { 5 }$ x = __________

Solve the equation and check. $- 3 x + 17 = 6 x - 55$

Solve the equation and check. $5 x + 3 = 2 x - 27$

Solve the equation and check. $2 x + 4 = 7 x - 15$

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

Solve the equation and check. $1 \frac { 1 } { 3 } - \frac { x } { 7 } = \frac { 10 } { 21 }$ x = __________

Solve the equation and check. $7 ( 2 x + 7 ) = 25 + 2 ( 8 x + 5 )$ x = __________

Solve the equation and check. $x + 27 = 2$ x = __________

Solve the equation. $\frac { x } { 10 } = \frac { 7 } { 5 }$ x = __________

Solve the equation and check. $y + 29 = 11$ y = __________