Question 1

Solve the equation and check. $\frac { x } { 4 } - 9 = 5$

Accepted Answer

A)  x = 56 
B)  x = 58 
C)  x = 29 
D)  x = 57 
E)  x = 16 
A)  x = 56 
B)  x = 58 
C)  x = 29 
D)  x = 57 
E)  x = 16

Question 2

Mix a solution that is 70% alcohol with a solution that is 10% alcohol to make 240 mL of a solution that is 20% alcohol. How much of each solution should you use?

Accepted Answer

A)  So, mix 120 mL of the 70% solution and 120 mL of the 10% solution. 
B)  So, mix 30 mL of the 70% solution and 210 mL of the 10% solution. 
C)  So, mix 40 mL of the 70% solution and 200 mL of the 10% solution. 
D)  So, mix 210 mL of the 70% solution and 30 mL of the 10% solution. 
E)  So, mix 200 mL of the 70% solution and 40 mL of the 10% solution. 
A)  So, mix 120 mL of the 70% solution and 120 mL of the 10% solution. 
B)  So, mix 30 mL of the 70% solution and 210 mL of the 10% solution. 
C)  So, mix 40 mL of the 70% solution and 200 mL of the 10% solution. 
D)  So, mix 210 mL of the 70% solution and 30 mL of the 10% solution. 
E)  So, mix 200 mL of the 70% solution and 40 mL of the 10% solution.

Question 3

Solve the equation and check. $- 6 x + 8 ( x - 16 ) = 30$

Accepted Answer

A)  x = 74 
B)  x = 78 
C)  x = 79 
D)  x = 75 
E)  x = 76 
A)  x = 74 
B)  x = 78 
C)  x = 79 
D)  x = 75 
E)  x = 76

Question 4

Solve the formula for the given letter. $F = \frac { a + b } { 2 } h \text { for } a$

Accepted Answer

A)  $a = \frac { 2 F - h b } { h }$ 
B)  $a = \frac { 2 F - h b } { b }$ 
C)  $a = \frac { 2 F + h b } { b }$ 
D)  $a = \frac { 2 F + h b } { h }$ 
E)  $a = 2 F - b$ 
A)  $a = \frac { 2 F - h b } { h }$ 
B)  $a = \frac { 2 F - h b } { b }$ 
C)  $a = \frac { 2 F + h b } { b }$ 
D)  $a = \frac { 2 F + h b } { h }$ 
E)  $a = 2 F - b$

Question 5

Solve the equation and check.   $\frac { 1 } { 2 } x - \frac { 1 } { 9 } ( 3 x - 18 ) = 1$

Accepted Answer

A)  $x = 6$ 
B)  $x = - 19$ 
C)  $x = 16$ 
D)  $x = - 8$ 
E)  $x = - 6$ 
A)  $x = 6$ 
B)  $x = - 19$ 
C)  $x = 16$ 
D)  $x = - 8$ 
E)  $x = - 6$

Question 6

The perimeter of a triangle is 111 ft. The lengths of two sides are the same. The length of the third side is 6 ft shorter than either of the other two sides. Find the lengths of the sides.

Accepted Answer

A)  The equal sides are 39 ft. The third side is 45 ft. 
B)  The equal sides are 48 ft. The third side is 54 ft. 
C)  The equal sides are 44 ft. The third side is 38 ft. 
D)  The equal sides are 42 ft. The third side is 36 ft. 
E)  The equal sides are 39 ft. The third side is 33 ft. 
A)  The equal sides are 39 ft. The third side is 45 ft. 
B)  The equal sides are 48 ft. The third side is 54 ft. 
C)  The equal sides are 44 ft. The third side is 38 ft. 
D)  The equal sides are 42 ft. The third side is 36 ft. 
E)  The equal sides are 39 ft. The third side is 33 ft.

Question 7

Separate an order of 23 light fixture so that the number of fluorescent light fixture will be 19 fewer than twice the number of incandescent light fixtures.

Accepted Answer

A)  17 fluorescent & 6 incandescent 
B)  14 fluorescent & 9 incandescent 
C)  9 fluorescent & 14 incandescent 
D)  11 fluorescent & 12 incandescent 
E)  16 fluorescent & 7 incandescent 
A)  17 fluorescent & 6 incandescent 
B)  14 fluorescent & 9 incandescent 
C)  9 fluorescent & 14 incandescent 
D)  11 fluorescent & 12 incandescent 
E)  16 fluorescent & 7 incandescent

Question 8

Solve the equation and check. $2 ( y - 6 ) = 8 + ( y - 11 )$

Accepted Answer

A)  y = -11 
B)  y = -33 
C)  y = 9 
D)  y = 23 
E)  y = 31 
A)  y = -11 
B)  y = -33 
C)  y = 9 
D)  y = 23 
E)  y = 31

Question 9

Follow the rules for working with measurements.
Use the formula $\frac { 1 } { C } = \frac { 1 } { C _ { 1 } } + \frac { 1 } { C _ { 2 } } + \frac { 1 } { C _ { 3 } }$ .
Given $C _ { 1 } = 6.58 \times 10 ^ { - 7 } F$ , $C _ { 2 } = 5.55 \times 10 ^ { - 6 } F$ and $C _ { 3 } = 1.89 \times 10 ^ { - 8 } \mathrm {~F}$ , find C. $C = \quad \times 10 - F$

Accepted Answer

The answer of Follow the rules for working with measurements.
Use...

Question 10

Solve the equation and check. $\frac { r } { 18 } + 2 = 4$

Accepted Answer

A)  $r = 25$ 
B)  $r = \frac { 1 } { 9 }$ 
C)  $r = 36$ 
D)  $r = \frac { 1 } { 3 }$ 
E)  $r = 113$ 
A)  $r = 25$ 
B)  $r = \frac { 1 } { 9 }$ 
C)  $r = 36$ 
D)  $r = \frac { 1 } { 3 }$ 
E)  $r = 113$

Question 11

Given the formula: $V = \frac { 1 } { 2 } L w ( D + d ) , \quad V = 437.5 , \quad L = 6 , \quad w = 8.5 , \quad D = 8$ Find d.

Accepted Answer

A)  $d = \frac { 2 V } { L w } - D = 9.16$ 
B)  $d = \frac { V } { 2 L w } - D = 3.71$ 
C)  $d = \frac { 2 V } { L w } - D = 9.56$ 
D)  $d = \frac { L w } { 2 V } - D = 0.1$ 
E)  $d = \frac { L w } { 2 V } - D = 0.11$ 
A)  $d = \frac { 2 V } { L w } - D = 9.16$ 
B)  $d = \frac { V } { 2 L w } - D = 3.71$ 
C)  $d = \frac { 2 V } { L w } - D = 9.56$ 
D)  $d = \frac { L w } { 2 V } - D = 0.1$ 
E)  $d = \frac { L w } { 2 V } - D = 0.11$

Question 12

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 13

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

Accepted Answer

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

Question 14

Solve the equation and check.
  $\frac { 4 x + 9 } { 15 } - \frac { 2 x - 9 } { 9 } = \frac { 12 x + 8 } { 12 } - x$ x = __________

Accepted Answer

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

Question 15

Solve the equation and check. $4$ x + $4$ = $9$ x - $17$

Accepted Answer

A)  $x = 4 \frac { 1 } { 5 }$ 
B)  $x = 8 \frac { 1 } { 5 }$ 
C)  $x = 3 \frac { 1 } { 5 }$ 
D)  $x = 1 \frac { 1 } { 5 }$ 
E)  $x = 6 \frac { 1 } { 5 }$ 
A)  $x = 4 \frac { 1 } { 5 }$ 
B)  $x = 8 \frac { 1 } { 5 }$ 
C)  $x = 3 \frac { 1 } { 5 }$ 
D)  $x = 1 \frac { 1 } { 5 }$ 
E)  $x = 6 \frac { 1 } { 5 }$

Question 16

Solve the equation and check. $2 ( y + 6 ) = 6 ( y - 8 ) + 5$

Accepted Answer

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

Question 17

Solve the equation and check. $- 2 x = - 10$

Accepted Answer

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

Question 18

Solve the equation and check. $2 ( y - 3 ) = 6 + ( y - 15 )$ y = __________

Accepted Answer

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

Question 19

Solve the equation and check. $8 x - 32 = 72$ x = __________

Accepted Answer

The answer of Solve the equation and check. \(8 x...

Question 20

Solve the equation and check. $3 x - 12 = 7 x - 80$

Accepted Answer

A)  x = 17 
B)  x = 23 
C)  x = 20 
D)  x = 15 
E)  x = 16 
A)  x = 17 
B)  x = 23 
C)  x = 20 
D)  x = 15 
E)  x = 16

Solve the equation and check. $\frac { x } { 4 } - 9 = 5$

Mix a solution that is 70% alcohol with a solution that is 10% alcohol to make 240 mL of a solution that is 20% alcohol. How much of each solution should you use?

Solve the equation and check. $- 6 x + 8 ( x - 16 ) = 30$

Solve the formula for the given letter. $F = \frac { a + b } { 2 } h \text { for } a$

Solve the equation and check. $\frac { 1 } { 2 } x - \frac { 1 } { 9 } ( 3 x - 18 ) = 1$

The perimeter of a triangle is 111 ft. The lengths of two sides are the same. The length of the third side is 6 ft shorter than either of the other two sides. Find the lengths of the sides.

Separate an order of 23 light fixture so that the number of fluorescent light fixture will be 19 fewer than twice the number of incandescent light fixtures.

Solve the equation and check. $2 ( y - 6 ) = 8 + ( y - 11 )$

Solve the equation and check. $\frac { r } { 18 } + 2 = 4$

Given the formula: $V = \frac { 1 } { 2 } L w ( D + d ) , \quad V = 437.5 , \quad L = 6 , \quad w = 8.5 , \quad D = 8$ Find d.

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

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

Solve the equation and check. $\frac { 4 x + 9 } { 15 } - \frac { 2 x - 9 } { 9 } = \frac { 12 x + 8 } { 12 } - x$ x = __________

Solve the equation and check. $4$ x + $4$ = $9$ x - $17$

Solve the equation and check. $2 ( y + 6 ) = 6 ( y - 8 ) + 5$

Solve the equation and check. $- 2 x = - 10$

Solve the equation and check. $2 ( y - 3 ) = 6 + ( y - 15 )$ y = __________

Solve the equation and check. $8 x - 32 = 72$ x = __________

Solve the equation and check. $3 x - 12 = 7 x - 80$

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. x4−9=5\frac { x } { 4 } - 9 = 54x​−9=5

Mix a solution that is 70% alcohol with a solution that is 10% alcohol to make 240 mL of a solution that is 20% alcohol. How much of each solution should you use?

Solve the equation and check. −6x+8(x−16)=30- 6 x + 8 ( x - 16 ) = 30−6x+8(x−16)=30

Solve the formula for the given letter. F=a+b2h for aF = \frac { a + b } { 2 } h \text { for } aF=2a+b​h for a

Solve the equation and check. 12x−19(3x−18)=1\frac { 1 } { 2 } x - \frac { 1 } { 9 } ( 3 x - 18 ) = 121​x−91​(3x−18)=1

The perimeter of a triangle is 111 ft. The lengths of two sides are the same. The length of the third side is 6 ft shorter than either of the other two sides. Find the lengths of the sides.

Separate an order of 23 light fixture so that the number of fluorescent light fixture will be 19 fewer than twice the number of incandescent light fixtures.

Solve the equation and check. 2(y−6)=8+(y−11)2 ( y - 6 ) = 8 + ( y - 11 )2(y−6)=8+(y−11)

Solve the equation and check. r18+2=4\frac { r } { 18 } + 2 = 418r​+2=4

Given the formula: V=12Lw(D+d),V=437.5,L=6,w=8.5,D=8V = \frac { 1 } { 2 } L w ( D + d ) , \quad V = 437.5 , \quad L = 6 , \quad w = 8.5 , \quad D = 8V=21​Lw(D+d),V=437.5,L=6,w=8.5,D=8 Find d.

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

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

Solve the equation and check. 4x+915−2x−99=12x+812−x\frac { 4 x + 9 } { 15 } - \frac { 2 x - 9 } { 9 } = \frac { 12 x + 8 } { 12 } - x154x+9​−92x−9​=1212x+8​−x x = __________

Solve the equation and check. 444 x + 444 = 999 x - 171717

Solve the equation and check. 2(y+6)=6(y−8)+52 ( y + 6 ) = 6 ( y - 8 ) + 52(y+6)=6(y−8)+5

Solve the equation and check. −2x=−10- 2 x = - 10−2x=−10

Solve the equation and check. 2(y−3)=6+(y−15)2 ( y - 3 ) = 6 + ( y - 15 )2(y−3)=6+(y−15) y = __________

Solve the equation and check. 8x−32=728 x - 32 = 728x−32=72 x = __________

Solve the equation and check. 3x−12=7x−803 x - 12 = 7 x - 803x−12=7x−80

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. $\frac { x } { 4 } - 9 = 5$

Solve the equation and check. $- 6 x + 8 ( x - 16 ) = 30$

Solve the formula for the given letter. $F = \frac { a + b } { 2 } h \text { for } a$

Solve the equation and check. $\frac { 1 } { 2 } x - \frac { 1 } { 9 } ( 3 x - 18 ) = 1$

Solve the equation and check. $2 ( y - 6 ) = 8 + ( y - 11 )$

Solve the equation and check. $\frac { r } { 18 } + 2 = 4$

Given the formula: $V = \frac { 1 } { 2 } L w ( D + d ) , \quad V = 437.5 , \quad L = 6 , \quad w = 8.5 , \quad D = 8$ Find d.

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

Solve the equation and check. $\frac { 4 x + 9 } { 15 } - \frac { 2 x - 9 } { 9 } = \frac { 12 x + 8 } { 12 } - x$ x = __________

Solve the equation and check. $4$ x + $4$ = $9$ x - $17$

Solve the equation and check. $2 ( y + 6 ) = 6 ( y - 8 ) + 5$

Solve the equation and check. $- 2 x = - 10$

Solve the equation and check. $2 ( y - 3 ) = 6 + ( y - 15 )$ y = __________

Solve the equation and check. $8 x - 32 = 72$ x = __________

Solve the equation and check. $3 x - 12 = 7 x - 80$