Question 1

Solve the equation and check. $7 ( x - 7 ) = 15$

Accepted Answer

A)  $x = 8 \frac { 2 } { 7 }$ 
B)  $x = 11 \frac { 2 } { 7 }$ 
C)  $x = 9 \frac { 2 } { 7 }$ 
D)  $x = 9 \frac { 1 } { 7 }$ 
E)  $x = 6 \frac { 2 } { 7 }$ 
A)  $x = 8 \frac { 2 } { 7 }$ 
B)  $x = 11 \frac { 2 } { 7 }$ 
C)  $x = 9 \frac { 2 } { 7 }$ 
D)  $x = 9 \frac { 1 } { 7 }$ 
E)  $x = 6 \frac { 2 } { 7 }$

Question 2

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

Accepted Answer

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

Question 3

Follow the rules for working with measurements. The pressure at the bottom of a lake is found by the formula P = hD, where h is the depth of the water and D is the density of the water. Find the pressure in $1 \mathrm {~b} / \mathrm { in } ^ { 2 }$ at 250 ft below the surface. $D = 62.41 \mathrm {~b} / \mathrm { ft } ^ { 3 }$ .

Accepted Answer

A)  $P = 1,3001 \mathrm {~b} / \mathrm { in } ^ { 2 }$ 
B)  $P = 1101 \mathrm {~b} / \mathrm { in } ^ { 2 }$ 
C)  $P = 650 \mathrm { lb } / \mathrm { in } ^ { 2 }$ 
D)  $P = 2171 \mathrm {~b} / \mathrm { in } ^ { 2 }$ 
E)  $P = 1081 \mathrm {~b} / \mathrm { in } ^ { 2 }$ 
A)  $P = 1,3001 \mathrm {~b} / \mathrm { in } ^ { 2 }$ 
B)  $P = 1101 \mathrm {~b} / \mathrm { in } ^ { 2 }$ 
C)  $P = 650 \mathrm { lb } / \mathrm { in } ^ { 2 }$ 
D)  $P = 2171 \mathrm {~b} / \mathrm { in } ^ { 2 }$ 
E)  $P = 1081 \mathrm {~b} / \mathrm { in } ^ { 2 }$

Question 4

Solve the equation and check. $21 - s = 28$

Accepted Answer

A)  s = -49 
B)  s = 6 
C)  s = 5 
D)  s = -7 
E)  s = 7 
A)  s = -49 
B)  s = 6 
C)  s = 5 
D)  s = -7 
E)  s = 7

Question 5

Solve the equation and check. $2 ( y + 5 ) = y - 15$

Accepted Answer

A)  y = -25 
B)  y = 8 
C)  y = -24 
D)  y = -5 
E)  y = -23.2 
A)  y = -25 
B)  y = 8 
C)  y = -24 
D)  y = -5 
E)  y = -23.2

Question 6

Follow the rules for working with measurements. The volume of a box is given by V = lwh. Find the width if the volume is $4,114 \mathrm { ft } ^ { 3 }$ , its length is $22 \mathrm { ft }$ , and its height is $11 \mathrm { ft }$

Accepted Answer

A)  $w = 13 \mathrm { ft }$ 
B)  $w = 17 \mathrm { ft }$ 
C)  $w = 8.5 \mathrm { ft }$ 
D)  $w = 34 \mathrm { ft }$ 
E)  $w = 20 \mathrm { ft }$ 
A)  $w = 13 \mathrm { ft }$ 
B)  $w = 17 \mathrm { ft }$ 
C)  $w = 8.5 \mathrm { ft }$ 
D)  $w = 34 \mathrm { ft }$ 
E)  $w = 20 \mathrm { ft }$

Question 7

Solve the equation and check. Give your answer as a mixed number. $9 x - 9 = 2$

Accepted Answer

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

Question 8

Solve the equation and check. $- 5 x + 54 = 13 x - 18$

Accepted Answer

A)  x = 6 
B)  x = 1 
C)  x = 3 
D)  x = 2 
E)  x = 4 
A)  x = 6 
B)  x = 1 
C)  x = 3 
D)  x = 2 
E)  x = 4

Question 9

Solve the formula for the given letter. $F = a b + \frac { d } { 2 } ( a + c ) \text { for } d$

Accepted Answer

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

Question 10

Solve the equation and check. $2 ( 5 m - 8 ) - 13 = - 7$

Accepted Answer

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

Question 11

Solve the equation and check. $2 ( x + 6 ) = 20 - ( x - 7 )$ x = __________

Accepted Answer

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

Question 12

Solve the equation and check. Give your answer as a mixed number. $38 - 2 y = 43$

Accepted Answer

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

Question 13

Solve the equation and check. $6 x - 186 = 0$ x = __________

Accepted Answer

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

Question 14

Solve the formula for the given letter. $v _ { f } = v _ { i } + \text { at for } v _ { i }$

Accepted Answer

A)  $\nu _ { i } = \nu _ { f } - a t$ 
B)  $v _ { i } = \frac { v _ { f } } { a } - t$ 
C)  $\nu _ { i } = \frac { \nu _ { f } - t } { a }$ 
D)  $\nu _ { i } = \frac { \nu _ { f } + t } { a }$ 
E)  $\nu _ { i } = \nu _ { f } + a t$ 
A)  $\nu _ { i } = \nu _ { f } - a t$ 
B)  $v _ { i } = \frac { v _ { f } } { a } - t$ 
C)  $\nu _ { i } = \frac { \nu _ { f } - t } { a }$ 
D)  $\nu _ { i } = \frac { \nu _ { f } + t } { a }$ 
E)  $\nu _ { i } = \nu _ { f } + a t$

Question 15

Solve the equation and check. $\frac { 4 x + 3 } { 9 } - \frac { 2 x - 3 } { 9 } = \frac { 21 x + 14 } { 21 } - x$

Accepted Answer

A)  $x = 9$ 
B)  $x = 5$ 
C)  $x = 0$ 
D)  $x = 2$ 
E)  $x = 10$ 
A)  $x = 9$ 
B)  $x = 5$ 
C)  $x = 0$ 
D)  $x = 2$ 
E)  $x = 10$

Question 16

Solve the equation and check. $3 x - 7 + 11 ( 1 - x ) = - 6$

Accepted Answer

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

Question 17

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

Accepted Answer

A)  $x = - \frac { 1 } { 6 }$ 
B)  $x = - \frac { 1 } { 8 }$ 
C)  $x = - \frac { 1 } { 7 }$ 
D)  $x = - \frac { 1 } { 9 }$ 
E)  $x = - \frac { 1 } { 5 }$ 
A)  $x = - \frac { 1 } { 6 }$ 
B)  $x = - \frac { 1 } { 8 }$ 
C)  $x = - \frac { 1 } { 7 }$ 
D)  $x = - \frac { 1 } { 9 }$ 
E)  $x = - \frac { 1 } { 5 }$

Question 18

Solve the equation and check. $\frac { 7 } { x } - 8 = - 7$

Accepted Answer

A)  $x = 9$ 
B)  $x = 12$ 
C)  $x = 17$ 
D)  $x = 7$ 
E)  $x = 10$ 
A)  $x = 9$ 
B)  $x = 12$ 
C)  $x = 17$ 
D)  $x = 7$ 
E)  $x = 10$

Question 19

Solve the equation and check. $135 = - 14 ( x - 9 )$

Accepted Answer

A)  $x = - \frac { 14 } { 9 }$ 
B)  $x = - \frac { 11 } { 14 }$ 
C)  $x = - \frac { 9 } { 14 }$ 
D)  $x = \frac { 14 } { 11 }$ 
E)  $x = \frac { 9 } { 14 }$ 
A)  $x = - \frac { 14 } { 9 }$ 
B)  $x = - \frac { 11 } { 14 }$ 
C)  $x = - \frac { 9 } { 14 }$ 
D)  $x = \frac { 14 } { 11 }$ 
E)  $x = \frac { 9 } { 14 }$

Question 20

Solve the equation and check. $3 x + 17 = 2 x - 12$ x = __________

Accepted Answer

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

Solve the equation and check. $7 ( x - 7 ) = 15$

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

Solve the equation and check. $21 - s = 28$

Solve the equation and check. $2 ( y + 5 ) = y - 15$

Follow the rules for working with measurements. The volume of a box is given by V = lwh. Find the width if the volume is $4,114 \mathrm { ft } ^ { 3 }$ , its length is $22 \mathrm { ft }$ , and its height is $11 \mathrm { ft }$

Solve the equation and check. Give your answer as a mixed number. $9 x - 9 = 2$

Solve the equation and check. $- 5 x + 54 = 13 x - 18$

Solve the formula for the given letter. $F = a b + \frac { d } { 2 } ( a + c ) \text { for } d$

Solve the equation and check. $2 ( 5 m - 8 ) - 13 = - 7$

Solve the equation and check. $2 ( x + 6 ) = 20 - ( x - 7 )$ x = __________

Solve the equation and check. Give your answer as a mixed number. $38 - 2 y = 43$

Solve the equation and check. $6 x - 186 = 0$ x = __________

Solve the formula for the given letter. $v _ { f } = v _ { i } + \text { at for } v _ { i }$

Solve the equation and check. $\frac { 4 x + 3 } { 9 } - \frac { 2 x - 3 } { 9 } = \frac { 21 x + 14 } { 21 } - x$

Solve the equation and check. $3 x - 7 + 11 ( 1 - x ) = - 6$

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

Solve the equation and check. $\frac { 7 } { x } - 8 = - 7$

Solve the equation and check. $135 = - 14 ( x - 9 )$

Solve the equation and check. $3 x + 17 = 2 x - 12$ 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. 7(x−7)=157 ( x - 7 ) = 157(x−7)=15

Solve the formula for the given letter. A=bh for hA = b h \text { for } hA=bh for h

Solve the equation and check. 21−s=2821 - s = 2821−s=28

Solve the equation and check. 2(y+5)=y−152 ( y + 5 ) = y - 152(y+5)=y−15

Follow the rules for working with measurements. The volume of a box is given by V = lwh. Find the width if the volume is 4,114ft34,114 \mathrm { ft } ^ { 3 }4,114ft3 , its length is 22ft22 \mathrm { ft }22ft , and its height is 11ft11 \mathrm { ft }11ft

Solve the equation and check. Give your answer as a mixed number. 9x−9=29 x - 9 = 29x−9=2

Solve the equation and check. −5x+54=13x−18- 5 x + 54 = 13 x - 18−5x+54=13x−18

Solve the formula for the given letter. F=ab+d2(a+c) for dF = a b + \frac { d } { 2 } ( a + c ) \text { for } dF=ab+2d​(a+c) for d

Solve the equation and check. 2(5m−8)−13=−72 ( 5 m - 8 ) - 13 = - 72(5m−8)−13=−7

Solve the equation and check. 2(x+6)=20−(x−7)2 ( x + 6 ) = 20 - ( x - 7 )2(x+6)=20−(x−7) x = __________

Solve the equation and check. Give your answer as a mixed number. 38−2y=4338 - 2 y = 4338−2y=43

Solve the equation and check. 6x−186=06 x - 186 = 06x−186=0 x = __________

Solve the formula for the given letter. vf=vi+ at for viv _ { f } = v _ { i } + \text { at for } v _ { i }vf​=vi​+ at for vi​

Solve the equation and check. 4x+39−2x−39=21x+1421−x\frac { 4 x + 3 } { 9 } - \frac { 2 x - 3 } { 9 } = \frac { 21 x + 14 } { 21 } - x94x+3​−92x−3​=2121x+14​−x

Solve the equation and check. 3x−7+11(1−x)=−63 x - 7 + 11 ( 1 - x ) = - 63x−7+11(1−x)=−6

Solve the equation and check. 5−1x=105 - \frac { 1 } { x } = 105−x1​=10

Solve the equation and check. 7x−8=−7\frac { 7 } { x } - 8 = - 7x7​−8=−7

Solve the equation and check. 135=−14(x−9)135 = - 14 ( x - 9 )135=−14(x−9)

Solve the equation and check. 3x+17=2x−123 x + 17 = 2 x - 123x+17=2x−12 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. $7 ( x - 7 ) = 15$

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

Solve the equation and check. $21 - s = 28$

Solve the equation and check. $2 ( y + 5 ) = y - 15$

Follow the rules for working with measurements. The volume of a box is given by V = lwh. Find the width if the volume is $4,114 \mathrm { ft } ^ { 3 }$ , its length is $22 \mathrm { ft }$ , and its height is $11 \mathrm { ft }$

Solve the equation and check. Give your answer as a mixed number. $9 x - 9 = 2$

Solve the equation and check. $- 5 x + 54 = 13 x - 18$

Solve the formula for the given letter. $F = a b + \frac { d } { 2 } ( a + c ) \text { for } d$

Solve the equation and check. $2 ( 5 m - 8 ) - 13 = - 7$

Solve the equation and check. $2 ( x + 6 ) = 20 - ( x - 7 )$ x = __________

Solve the equation and check. Give your answer as a mixed number. $38 - 2 y = 43$

Solve the equation and check. $6 x - 186 = 0$ x = __________

Solve the formula for the given letter. $v _ { f } = v _ { i } + \text { at for } v _ { i }$

Solve the equation and check. $\frac { 4 x + 3 } { 9 } - \frac { 2 x - 3 } { 9 } = \frac { 21 x + 14 } { 21 } - x$

Solve the equation and check. $3 x - 7 + 11 ( 1 - x ) = - 6$

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

Solve the equation and check. $\frac { 7 } { x } - 8 = - 7$

Solve the equation and check. $135 = - 14 ( x - 9 )$

Solve the equation and check. $3 x + 17 = 2 x - 12$ x = __________