Question 1

Solve the equation and check. $1 - \frac { 2 } { x } = \frac { 10 } { 7 x } - \frac { 5 } { 7 }$ x = __________

Accepted Answer

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

Question 2

Solve the formula for the given letter. $Q = \frac { I ^ { 2 } R t } { J } \text { for } R$

Accepted Answer

A)  $R = \frac { I ^ { 2 } J } { Q t }$ 
B)  $R = \frac { Q J } { I ^ { 2 } t }$ 
C)  $R = \frac { Q ^ { I ^ { 2 } } } { I t }$ 
D)  $R = \frac { I ^ { 2 } t } { Q J }$ 
E)  $R = \frac { t J } { I ^ { 2 } Q }$ 
A)  $R = \frac { I ^ { 2 } J } { Q t }$ 
B)  $R = \frac { Q J } { I ^ { 2 } t }$ 
C)  $R = \frac { Q ^ { I ^ { 2 } } } { I t }$ 
D)  $R = \frac { I ^ { 2 } t } { Q J }$ 
E)  $R = \frac { t J } { I ^ { 2 } Q }$

Question 3

Solve the equation and check. $64 m = 0$

Accepted Answer

A)  m = 3 
B)  m = -3 
C)  m = -64 
D)  m = 0 
E)  m = -6 
A)  m = 3 
B)  m = -3 
C)  m = -64 
D)  m = 0 
E)  m = -6

Question 4

Solve the equation and check. $4 ( 9 y - 2 ) + 3 ( 2 y + 6 ) = 25 ( 3 y + 2 ) - 123 y$

Accepted Answer

A)  $y = \frac { 2 } { 9 }$ 
B)  $y = 3 \frac { 1 } { 2 }$ 
C)  $y = \frac { 4 } { 9 }$ 
D)  $y = \frac { 4 } { 7 }$ 
E)  $y = \frac { 2 } { 7 }$ 
A)  $y = \frac { 2 } { 9 }$ 
B)  $y = 3 \frac { 1 } { 2 }$ 
C)  $y = \frac { 4 } { 9 }$ 
D)  $y = \frac { 4 } { 7 }$ 
E)  $y = \frac { 2 } { 7 }$

Question 5

Solve the equation and check. 4x = 2x - $28$

Accepted Answer

A)  x = -17 
B)  x = -19 
C)  x = -13 
D)  x = -14 
E)  x = 19 
A)  x = -17 
B)  x = -19 
C)  x = -13 
D)  x = -14 
E)  x = 19

Question 6

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , A = 2,690 , \quad h = 62 , \quad a = 43.2$ Find b.

Accepted Answer

A)  $b = \frac { A } { h } - 2 a = - 43$ 
B)  $b = \frac { A } { 2 ( h - a ) } = 10.9$ 
C)  $b = \frac { A } { 2 ( h - a ) } = - 10.8$ 
D)  $b = \frac { 2 A } { h } - a = 43.6$ 
E)  $b = \frac { A } { 2 h } - a = - 21.5$ 
A)  $b = \frac { A } { h } - 2 a = - 43$ 
B)  $b = \frac { A } { 2 ( h - a ) } = 10.9$ 
C)  $b = \frac { A } { 2 ( h - a ) } = - 10.8$ 
D)  $b = \frac { 2 A } { h } - a = 43.6$ 
E)  $b = \frac { A } { 2 h } - a = - 21.5$

Question 7

Solve the equation and check. $0.095 x - 0.285 + 0.001 ( 5 - x ) = 0.262$

Accepted Answer

The answer of Solve the equation and check. \(0.095 x...

Question 8

Solve the equation and check. $23 - x = 26$   $x=$________

Accepted Answer

The answer of Solve the equation and check. \(23 -...

Question 9

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 155 \Omega$ , $R _ { 2 } = 900 \Omega$ and $R _ { 3 } = 690 \Omega$ . Find $R _ { 1 }$ .

Accepted Answer

A)  $R _ { 1 } = 257 \Omega$ 
B)  $R _ { 1 } = 307 \Omega$ 
C)  $R _ { 1 } = 164 \Omega$ 
D)  $R _ { 1 } = 316 \Omega$ 
E)  $R _ { 1 } = 192 \Omega$ 
A)  $R _ { 1 } = 257 \Omega$ 
B)  $R _ { 1 } = 307 \Omega$ 
C)  $R _ { 1 } = 164 \Omega$ 
D)  $R _ { 1 } = 316 \Omega$ 
E)  $R _ { 1 } = 192 \Omega$

Question 10

Given the formula: A = P + Prt, $r = 0.06 , P = \$ 5,900 , A = \$ 7,025$ . Find t.

Accepted Answer

A)  $t = \frac { r ( A - P ) } { P } = 0.0114$ 
B)  $t = \frac { A + P } { r P } = 37$ 
C)  $t = \frac { A - P } { r P } = 18,750$ 
D)  $t = \frac { A - 1 } { r } = 117,067$ 
E)  $t = \frac { A - P } { r P } = 3$ 
A)  $t = \frac { r ( A - P ) } { P } = 0.0114$ 
B)  $t = \frac { A + P } { r P } = 37$ 
C)  $t = \frac { A - P } { r P } = 18,750$ 
D)  $t = \frac { A - 1 } { r } = 117,067$ 
E)  $t = \frac { A - P } { r P } = 3$

Question 11

Solve the equation and check. $9 x + \frac { 6 x - 6 } { 18 } + \frac { 10 x + 7 } { 7 } = 76$

Accepted Answer

A)  $x = 12$ 
B)  $x = 17$ 
C)  $x = 7$ 
D)  $x = 20$ 
E)  $x = 9$ 
A)  $x = 12$ 
B)  $x = 17$ 
C)  $x = 7$ 
D)  $x = 20$ 
E)  $x = 9$

Question 12

Solve the equation and check. $\frac { x } { 23 } = 1.5$

Accepted Answer

A)  x = 36.5 
B)  x = 35.5 
C)  x = 23 
D)  x = 34.5 
E)  x = 25 
A)  x = 36.5 
B)  x = 35.5 
C)  x = 23 
D)  x = 34.5 
E)  x = 25

Question 13

Solve the equation and check. $7 - 6 w = - 101$

Accepted Answer

A)  w = 20 
B)  w = 18 
C)  w = 19 
D)  w = 21 
E)  w = 16 
A)  w = 20 
B)  w = 18 
C)  w = 19 
D)  w = 21 
E)  w = 16

Question 14

Solve the equation and check. Give your answer as a fraction. $20 = - 4 - 17 t$

Accepted Answer

The answer of Solve the equation and check. Give your...

Question 15

Solve the equation and check. $\frac { y } { 6 } - 3 = \frac { y } { 12 }$ y = __________

Accepted Answer

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

Question 16

Solve the equation and check. $5 x + 1 = 7 x - 9$ x = __________

Accepted Answer

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

Question 17

Solve the equation and check. $\frac { 5 } { 13 } y = 2 \frac { 9 } { 13 }$ y = __________

Accepted Answer

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

Question 18

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 75 \Omega$ , $R _ { 1 } = 165 \Omega$  and $R _ { 2 } = 275 \Omega$ Find $R _ { 3 }$ .

Accepted Answer

A)  $R _ { 3 } = 225 \Omega$ 
B)  $R _ { 3 } = 365 \Omega$ 
C)  $R _ { 3 } = 210 \Omega$ 
D)  $R _ { 3 } = 275 \Omega$ 
E)  $R _ { 3 } = 259 \Omega$ 
A)  $R _ { 3 } = 225 \Omega$ 
B)  $R _ { 3 } = 365 \Omega$ 
C)  $R _ { 3 } = 210 \Omega$ 
D)  $R _ { 3 } = 275 \Omega$ 
E)  $R _ { 3 } = 259 \Omega$

Question 19

Given the formula: $L = \pi \left( r _ { 1 } + r _ { 2 } \right) + 2 d , L = 56.97 , d = 5.46 , r _ { 2 } = 6$ Find $r_ { 1} $ .

Accepted Answer

A)  $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.76$ 
B)  $r _ { 1 } = \pi ( L - 2 d ) - r _ { 2 } = 139$ 
C)  $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.65$ 
D)  $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.66$ 
E)  $r _ { 1 } = \frac { L } { \pi } + 2 d - r _ { 2 } = 23.1$ 
A)  $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.76$ 
B)  $r _ { 1 } = \pi ( L - 2 d ) - r _ { 2 } = 139$ 
C)  $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.65$ 
D)  $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.66$ 
E)  $r _ { 1 } = \frac { L } { \pi } + 2 d - r _ { 2 } = 23.1$

Question 20

Solve the equation and check. $\frac { 7 } { x } - 5 = - 4$ x = __________

Accepted Answer

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

Solve the equation and check. $1 - \frac { 2 } { x } = \frac { 10 } { 7 x } - \frac { 5 } { 7 }$ x = __________

Solve the formula for the given letter. $Q = \frac { I ^ { 2 } R t } { J } \text { for } R$

Solve the equation and check. $64 m = 0$

Solve the equation and check. $4 ( 9 y - 2 ) + 3 ( 2 y + 6 ) = 25 ( 3 y + 2 ) - 123 y$

Solve the equation and check. 4x = 2x - $28$

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , A = 2,690 , \quad h = 62 , \quad a = 43.2$ Find b.

Solve the equation and check. $0.095 x - 0.285 + 0.001 ( 5 - x ) = 0.262$

Solve the equation and check. $23 - x = 26$ $x=$ ________

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 155 \Omega$ , $R _ { 2 } = 900 \Omega$ and $R _ { 3 } = 690 \Omega$ . Find $R _ { 1 }$ .

Given the formula: A = P + Prt, $r = 0.06 , P = \$ 5,900 , A = \$ 7,025$ . Find t.

Solve the equation and check. $9 x + \frac { 6 x - 6 } { 18 } + \frac { 10 x + 7 } { 7 } = 76$

Solve the equation and check. $\frac { x } { 23 } = 1.5$

Solve the equation and check. $7 - 6 w = - 101$

Solve the equation and check. Give your answer as a fraction. $20 = - 4 - 17 t$

Solve the equation and check. $\frac { y } { 6 } - 3 = \frac { y } { 12 }$ y = __________

Solve the equation and check. $5 x + 1 = 7 x - 9$ x = __________

Solve the equation and check. $\frac { 5 } { 13 } y = 2 \frac { 9 } { 13 }$ y = __________

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$ . Given $R = 75 \Omega$ , $R _ { 1 } = 165 \Omega$ and $R _ { 2 } = 275 \Omega$ Find $R _ { 3 }$ .

Given the formula: $L = \pi \left( r _ { 1 } + r _ { 2 } \right) + 2 d , L = 56.97 , d = 5.46 , r _ { 2 } = 6$ Find $r_ { 1}$ .

Solve the equation and check. $\frac { 7 } { x } - 5 = - 4$ x = __________

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. 1−2x=107x−571 - \frac { 2 } { x } = \frac { 10 } { 7 x } - \frac { 5 } { 7 }1−x2​=7x10​−75​ x = __________

Solve the formula for the given letter. Q=I2RtJ for RQ = \frac { I ^ { 2 } R t } { J } \text { for } RQ=JI2Rt​ for R

Solve the equation and check. 64m=064 m = 064m=0

Solve the equation and check. 4(9y−2)+3(2y+6)=25(3y+2)−123y4 ( 9 y - 2 ) + 3 ( 2 y + 6 ) = 25 ( 3 y + 2 ) - 123 y4(9y−2)+3(2y+6)=25(3y+2)−123y

Solve the equation and check. 4x = 2x - 282828

Given the formula: A=12h(a+b),A=2,690,h=62,a=43.2A = \frac { 1 } { 2 } h ( a + b ) , A = 2,690 , \quad h = 62 , \quad a = 43.2A=21​h(a+b),A=2,690,h=62,a=43.2 Find b.

Solve the equation and check. 0.095x−0.285+0.001(5−x)=0.2620.095 x - 0.285 + 0.001 ( 5 - x ) = 0.2620.095x−0.285+0.001(5−x)=0.262

Solve the equation and check. 23−x=2623 - x = 2623−x=26 x=x=x= ________

Given the formula: A = P + Prt, r=0.06,P=$5,900,A=$7,025r = 0.06 , P = \$ 5,900 , A = \$ 7,025r=0.06,P=$5,900,A=$7,025 . Find t.

Solve the equation and check. 9x+6x−618+10x+77=769 x + \frac { 6 x - 6 } { 18 } + \frac { 10 x + 7 } { 7 } = 769x+186x−6​+710x+7​=76

Solve the equation and check. x23=1.5\frac { x } { 23 } = 1.523x​=1.5

Solve the equation and check. 7−6w=−1017 - 6 w = - 1017−6w=−101

Solve the equation and check. Give your answer as a fraction. 20=−4−17t20 = - 4 - 17 t20=−4−17t

Solve the equation and check. y6−3=y12\frac { y } { 6 } - 3 = \frac { y } { 12 }6y​−3=12y​ y = __________

Solve the equation and check. 5x+1=7x−95 x + 1 = 7 x - 95x+1=7x−9 x = __________

Solve the equation and check. 513y=2913\frac { 5 } { 13 } y = 2 \frac { 9 } { 13 }135​y=2139​ y = __________

Given the formula: L=π(r1+r2)+2d,L=56.97,d=5.46,r2=6L = \pi \left( r _ { 1 } + r _ { 2 } \right) + 2 d , L = 56.97 , d = 5.46 , r _ { 2 } = 6L=π(r1​+r2​)+2d,L=56.97,d=5.46,r2​=6 Find r1r_ { 1} r1​ .

Solve the equation and check. 7x−5=−4\frac { 7 } { x } - 5 = - 4x7​−5=−4 x = __________

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. $1 - \frac { 2 } { x } = \frac { 10 } { 7 x } - \frac { 5 } { 7 }$ x = __________

Solve the formula for the given letter. $Q = \frac { I ^ { 2 } R t } { J } \text { for } R$

Solve the equation and check. $64 m = 0$

Solve the equation and check. $4 ( 9 y - 2 ) + 3 ( 2 y + 6 ) = 25 ( 3 y + 2 ) - 123 y$

Solve the equation and check. 4x = 2x - $28$

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , A = 2,690 , \quad h = 62 , \quad a = 43.2$ Find b.

Solve the equation and check. $0.095 x - 0.285 + 0.001 ( 5 - x ) = 0.262$

Solve the equation and check. $23 - x = 26$ $x=$ ________

Given the formula: A = P + Prt, $r = 0.06 , P = \$ 5,900 , A = \$ 7,025$ . Find t.

Solve the equation and check. $9 x + \frac { 6 x - 6 } { 18 } + \frac { 10 x + 7 } { 7 } = 76$

Solve the equation and check. $\frac { x } { 23 } = 1.5$

Solve the equation and check. $7 - 6 w = - 101$

Solve the equation and check. Give your answer as a fraction. $20 = - 4 - 17 t$

Solve the equation and check. $\frac { y } { 6 } - 3 = \frac { y } { 12 }$ y = __________

Solve the equation and check. $5 x + 1 = 7 x - 9$ x = __________

Solve the equation and check. $\frac { 5 } { 13 } y = 2 \frac { 9 } { 13 }$ y = __________

Given the formula: $L = \pi \left( r _ { 1 } + r _ { 2 } \right) + 2 d , L = 56.97 , d = 5.46 , r _ { 2 } = 6$ Find $r_ { 1}$ .

Solve the equation and check. $\frac { 7 } { x } - 5 = - 4$ x = __________