Question 1

Mix a solution that is 60% acid with a solution that is 90% water to make 15 L of a solution that is 30% acid. How much of each solution should you use?

Accepted Answer

A)  So, mix 9 L of the 60% acid solution and 6 L of the 10% acid solution. 
B)  So, mix 1.5 L of the 60% acid solution and 13.5 L of the 10% acid solution. 
C)  So, mix 6 L of the 60% acid solution and 9 L of the 10% acid solution. 
D)  So, mix 4.5 L of the 60% acid solution and 10.5 L of the 10% acid solution. 
E)  So, mix 7.5 L of the 60% acid solution and 7.5 L of the 10% acid solution. 
A)  So, mix 9 L of the 60% acid solution and 6 L of the 10% acid solution. 
B)  So, mix 1.5 L of the 60% acid solution and 13.5 L of the 10% acid solution. 
C)  So, mix 6 L of the 60% acid solution and 9 L of the 10% acid solution. 
D)  So, mix 4.5 L of the 60% acid solution and 10.5 L of the 10% acid solution. 
E)  So, mix 7.5 L of the 60% acid solution and 7.5 L of the 10% acid solution.

Question 2

Solve the equation and check. - 4x + $35$ = 6x - $7$

Accepted Answer

A)  x = 10 
B)  x = 8 
C)  x = 4 
D)  x = 9 
E)  x = 11 
A)  x = 10 
B)  x = 8 
C)  x = 4 
D)  x = 9 
E)  x = 11

Question 3

Solve the equation and check. $\frac { x } { 4 } + \frac { 4 } { 5 } ( 4 x + 5 ) = 349$

Accepted Answer

A)  $x = 102$ 
B)  $x = 100$ 
C)  $x = 110$ 
D)  $x = 113$ 
E)  $x = 105$ 
A)  $x = 102$ 
B)  $x = 100$ 
C)  $x = 110$ 
D)  $x = 113$ 
E)  $x = 105$

Question 4

Solve the equation and check. $4 x + \frac { 12 x - 33 } { 21 } + \frac { 11 x + 8 } { 8 } = 47$ x = __________

Accepted Answer

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

Question 5

Solve the formula for the given letter. $R = \frac { p L } { A } \text { for } L$

Accepted Answer

A)  $L = \frac { p } { A R }$ 
B)  $L = \frac { A p } { R }$ 
C)  $L = \frac { A R } { p }$ 
D)  $L = \frac { A } { p R }$ 
E)  $L = p A R$ 
A)  $L = \frac { p } { A R }$ 
B)  $L = \frac { A p } { R }$ 
C)  $L = \frac { A R } { p }$ 
D)  $L = \frac { A } { p R }$ 
E)  $L = p A R$

Question 6

Solve the equation and check. $3 x - 4 = 7 x - 32$ x = __________

Accepted Answer

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

Question 7

Solve the equation and check. $0.089 x - 0.326 + 0.001 ( 5 - x ) = 0.221$

Accepted Answer

A)  $x = 6 \frac { 7 } { 44 }$ 
B)  $x = 7 \frac { 44 } { 271 }$ 
C)  $x = \frac { 44 } { 271 }$ 
D)  $x = 7 \frac { 7 } { 44 }$ 
E)  $x = \frac { 44 } { 315 }$ 
A)  $x = 6 \frac { 7 } { 44 }$ 
B)  $x = 7 \frac { 44 } { 271 }$ 
C)  $x = \frac { 44 } { 271 }$ 
D)  $x = 7 \frac { 7 } { 44 }$ 
E)  $x = \frac { 44 } { 315 }$

Question 8

Solve the equation and check. $7 x - 10 = 9 x - 24$ x = __________

Accepted Answer

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

Question 9

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } } + \frac { 1 } { R _ { 4 } }$ . Given $R _ { 1 } = 605 \Omega$ , $R _ { 2 } = 775 \Omega$ , $R _ { 3 } = 1,050 \Omega$ and $R _ { 4 } = 1,950 \Omega$ Find R.

Accepted Answer

A)  $R = 946 \Omega$ 
B)  $R = 327 \Omega$ 
C)  $R = 227 \Omega$ 
D)  $R = 401 \Omega$ 
E)  $R = 1,100 \Omega$ 
A)  $R = 946 \Omega$ 
B)  $R = 327 \Omega$ 
C)  $R = 227 \Omega$ 
D)  $R = 401 \Omega$ 
E)  $R = 1,100 \Omega$

Question 10

The length of a rectangle is 3 cm less than five times its width. Its perimeter is 102 cm. Find its length and width.

Accepted Answer

A)  The length is 51 cm and the width is 11 cm. 
B)  The length is 42 cm and the width is 9 cm. 
C)  The length is 48 cm and the width is 9 cm. 
D)  The length is 46 cm and the width is 11 cm. 
E)  The length is 44 cm and the width is 12 cm. 
A)  The length is 51 cm and the width is 11 cm. 
B)  The length is 42 cm and the width is 9 cm. 
C)  The length is 48 cm and the width is 9 cm. 
D)  The length is 46 cm and the width is 11 cm. 
E)  The length is 44 cm and the width is 12 cm.

Question 11

Solve the formula for the given letter. $F = \frac { 9 } { 5 } C + 32 \text { for } C$

Accepted Answer

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

Question 12

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given $R = 14 \Omega$ and $R _ { 2 } = 21 \Omega$ . Find $R _ { 1 }$ .

Accepted Answer

A)  $R _ { 1 } = 35 \Omega$ 
B)  $R _ { 1 } = 45 \Omega$ 
C)  $R _ { 1 } = 42 \Omega$ 
D)  $R _ { 1 } = 37 \Omega$ 
E)  $R _ { 1 } = 40 \Omega$ 
A)  $R _ { 1 } = 35 \Omega$ 
B)  $R _ { 1 } = 45 \Omega$ 
C)  $R _ { 1 } = 42 \Omega$ 
D)  $R _ { 1 } = 37 \Omega$ 
E)  $R _ { 1 } = 40 \Omega$

Question 13

Solve the equation and check. $4 ( w - 2 ) = w + 1$

Accepted Answer

A)  w = 2.3 
B)  w = 3 
C)  w = -6 
D)  w = 6 
E)  w = 1.8 
A)  w = 2.3 
B)  w = 3 
C)  w = -6 
D)  w = 6 
E)  w = 1.8

Question 14

Given the formula: $E = \frac { m v ^ { 2 } } { 2 }$ E = 547,000, v = 18. Find m.

Accepted Answer

A)  $m = \frac { 2 E } { \nu ^ { 2 } } = 3,380$ 
B)  $m = \frac { 2 } { E y ^ { 2 } } = 0.00617$ 
C)  $m = \frac { 2 E } { v } = 60,800$ 
D)  $m = \frac { 2 E } { \nu ^ { 2 } } = 3,377$ 
E)  $m = \frac { E } { v ^ { 2 } } = 845$ 
A)  $m = \frac { 2 E } { \nu ^ { 2 } } = 3,380$ 
B)  $m = \frac { 2 } { E y ^ { 2 } } = 0.00617$ 
C)  $m = \frac { 2 E } { v } = 60,800$ 
D)  $m = \frac { 2 E } { \nu ^ { 2 } } = 3,377$ 
E)  $m = \frac { E } { v ^ { 2 } } = 845$

Question 15

Solve the equation and check. $13 + 5 ( 2 y + 2 ) = ( y + 7 ) - ( - 70 )$ y = __________

Accepted Answer

The answer of Solve the equation and check. \(13 +...

Question 16

Solve the equation and check. $- 7 y + 2 = 2 x - 7$ x and y = __________

Accepted Answer

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

Question 17

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } } + \frac { 1 } { R _ { 4 } }$ . Given $R = 155 \Omega$ , $R _ { 1 } = 605 \Omega$ , $R _ { 3 } = 765 \Omega$ and $R _ { 4 } = 1,350 \Omega$ Find $R _ { 2 }$ .

Accepted Answer

A)  $R _ { 2 } = 250 \Omega$ 
B)  $R _ { 2 } = 170 \Omega$ 
C)  $R _ { 2 } = 264 \Omega$ 
D)  $R _ { 2 } = 230 \Omega$ 
E)  $R _ { 2 } = 364 \Omega$ 
A)  $R _ { 2 } = 250 \Omega$ 
B)  $R _ { 2 } = 170 \Omega$ 
C)  $R _ { 2 } = 264 \Omega$ 
D)  $R _ { 2 } = 230 \Omega$ 
E)  $R _ { 2 } = 364 \Omega$

Question 18

Solve the equation and check. $x - 8 = 2$

Accepted Answer

A)  x = 11 
B)  x = 10 
C)  x = 7 
D)  x = 8 
E)  x = -6 
A)  x = 11 
B)  x = 10 
C)  x = 7 
D)  x = 8 
E)  x = -6

Question 19

Follow the rules for working with measurements. The area of a rectangle is $76.2 \mathrm { ft } ^ { 2 }$ Its length is 34 ft. Find its width. A = lw.

Accepted Answer

A)  w = 2.2 ft 
B)  w = 2.6 ft 
C)  w = 2 ft 
D)  w = 2.3 ft 
E)  w = 1.2 ft 
A)  w = 2.2 ft 
B)  w = 2.6 ft 
C)  w = 2 ft 
D)  w = 2.3 ft 
E)  w = 1.2 ft

Question 20

Solve the equation and check. $11 x - 6 ( x + 8 ) + 51 = 0$

Accepted Answer

The answer of Solve the equation and check. \(11 x...

Mix a solution that is 60% acid with a solution that is 90% water to make 15 L of a solution that is 30% acid. How much of each solution should you use?

Solve the equation and check. - 4x + $35$ = 6x - $7$

Solve the equation and check. $\frac { x } { 4 } + \frac { 4 } { 5 } ( 4 x + 5 ) = 349$

Solve the equation and check. $4 x + \frac { 12 x - 33 } { 21 } + \frac { 11 x + 8 } { 8 } = 47$ x = __________

Solve the formula for the given letter. $R = \frac { p L } { A } \text { for } L$

Solve the equation and check. $3 x - 4 = 7 x - 32$ x = __________

Solve the equation and check. $0.089 x - 0.326 + 0.001 ( 5 - x ) = 0.221$

Solve the equation and check. $7 x - 10 = 9 x - 24$ x = __________

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } } + \frac { 1 } { R _ { 4 } }$ . Given $R _ { 1 } = 605 \Omega$ , $R _ { 2 } = 775 \Omega$ , $R _ { 3 } = 1,050 \Omega$ and $R _ { 4 } = 1,950 \Omega$ Find R.

The length of a rectangle is 3 cm less than five times its width. Its perimeter is 102 cm. Find its length and width.

Solve the formula for the given letter. $F = \frac { 9 } { 5 } C + 32 \text { for } C$

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given $R = 14 \Omega$ and $R _ { 2 } = 21 \Omega$ . Find $R _ { 1 }$ .

Solve the equation and check. $4 ( w - 2 ) = w + 1$

Given the formula: $E = \frac { m v ^ { 2 } } { 2 }$ E = 547,000, v = 18. Find m.

Solve the equation and check. $13 + 5 ( 2 y + 2 ) = ( y + 7 ) - ( - 70 )$ y = __________

Solve the equation and check. $- 7 y + 2 = 2 x - 7$ x and y = __________

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } } + \frac { 1 } { R _ { 4 } }$ . Given $R = 155 \Omega$ , $R _ { 1 } = 605 \Omega$ , $R _ { 3 } = 765 \Omega$ and $R _ { 4 } = 1,350 \Omega$ Find $R _ { 2 }$ .

Solve the equation and check. $x - 8 = 2$

Follow the rules for working with measurements. The area of a rectangle is $76.2 \mathrm { ft } ^ { 2 }$ Its length is 34 ft. Find its width. A = lw.

Solve the equation and check. $11 x - 6 ( x + 8 ) + 51 = 0$

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

Mix a solution that is 60% acid with a solution that is 90% water to make 15 L of a solution that is 30% acid. How much of each solution should you use?

Solve the equation and check. - 4x + 353535 = 6x - 777

Solve the equation and check. x4+45(4x+5)=349\frac { x } { 4 } + \frac { 4 } { 5 } ( 4 x + 5 ) = 3494x​+54​(4x+5)=349

Solve the equation and check. 4x+12x−3321+11x+88=474 x + \frac { 12 x - 33 } { 21 } + \frac { 11 x + 8 } { 8 } = 474x+2112x−33​+811x+8​=47 x = __________

Solve the formula for the given letter. R=pLA for LR = \frac { p L } { A } \text { for } LR=ApL​ for L

Solve the equation and check. 3x−4=7x−323 x - 4 = 7 x - 323x−4=7x−32 x = __________

Solve the equation and check. 0.089x−0.326+0.001(5−x)=0.2210.089 x - 0.326 + 0.001 ( 5 - x ) = 0.2210.089x−0.326+0.001(5−x)=0.221

Solve the equation and check. 7x−10=9x−247 x - 10 = 9 x - 247x−10=9x−24 x = __________

The length of a rectangle is 3 cm less than five times its width. Its perimeter is 102 cm. Find its length and width.

Solve the formula for the given letter. F=95C+32 for CF = \frac { 9 } { 5 } C + 32 \text { for } CF=59​C+32 for C

Use the formula 1R=1R1+1R2\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }R1​=R1​1​+R2​1​ . Given R=14ΩR = 14 \OmegaR=14Ω and R2=21ΩR _ { 2 } = 21 \OmegaR2​=21Ω . Find R1R _ { 1 }R1​ .

Solve the equation and check. 4(w−2)=w+14 ( w - 2 ) = w + 14(w−2)=w+1

Given the formula: E=mv22E = \frac { m v ^ { 2 } } { 2 }E=2mv2​ E = 547,000, v = 18. Find m.

Solve the equation and check. 13+5(2y+2)=(y+7)−(−70)13 + 5 ( 2 y + 2 ) = ( y + 7 ) - ( - 70 )13+5(2y+2)=(y+7)−(−70) y = __________

Solve the equation and check. −7y+2=2x−7- 7 y + 2 = 2 x - 7−7y+2=2x−7 x and y = __________

Solve the equation and check. x−8=2x - 8 = 2x−8=2

Follow the rules for working with measurements. The area of a rectangle is 76.2ft276.2 \mathrm { ft } ^ { 2 }76.2ft2 Its length is 34 ft. Find its width. A = lw.

Solve the equation and check. 11x−6(x+8)+51=011 x - 6 ( x + 8 ) + 51 = 011x−6(x+8)+51=0

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. - 4x + $35$ = 6x - $7$

Solve the equation and check. $\frac { x } { 4 } + \frac { 4 } { 5 } ( 4 x + 5 ) = 349$

Solve the equation and check. $4 x + \frac { 12 x - 33 } { 21 } + \frac { 11 x + 8 } { 8 } = 47$ x = __________

Solve the formula for the given letter. $R = \frac { p L } { A } \text { for } L$

Solve the equation and check. $3 x - 4 = 7 x - 32$ x = __________

Solve the equation and check. $0.089 x - 0.326 + 0.001 ( 5 - x ) = 0.221$

Solve the equation and check. $7 x - 10 = 9 x - 24$ x = __________

Solve the formula for the given letter. $F = \frac { 9 } { 5 } C + 32 \text { for } C$

Use the formula $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$ . Given $R = 14 \Omega$ and $R _ { 2 } = 21 \Omega$ . Find $R _ { 1 }$ .

Solve the equation and check. $4 ( w - 2 ) = w + 1$

Given the formula: $E = \frac { m v ^ { 2 } } { 2 }$ E = 547,000, v = 18. Find m.

Solve the equation and check. $13 + 5 ( 2 y + 2 ) = ( y + 7 ) - ( - 70 )$ y = __________

Solve the equation and check. $- 7 y + 2 = 2 x - 7$ x and y = __________

Solve the equation and check. $x - 8 = 2$

Follow the rules for working with measurements. The area of a rectangle is $76.2 \mathrm { ft } ^ { 2 }$ Its length is 34 ft. Find its width. A = lw.

Solve the equation and check. $11 x - 6 ( x + 8 ) + 51 = 0$