Question 1

Solve the equation and check. $2 ( 8 y + 1 ) + 5 = 9 + 7 ( y - 8 )$

Accepted Answer

A)  y = -10 
B)  y = -6 
C)  y = -9 
D)  y = -8 
E)  y = -7 
A)  y = -10 
B)  y = -6 
C)  y = -9 
D)  y = -8 
E)  y = -7

Question 2

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given f = 13 cm and $S _ { i }$ = 22 cm, find $s 0$ .

Accepted Answer

A)  $s _ { 0 } = 31.8$ cm 
B)  $s _ { 0 } = 44.8$ cm 
C)  $s _ { 0 } = 20.7$ cm 
D)  $s _ { 0 } = 62.3$ cm 
E)  $s _ { 0 } = 29.6$ cm 
A)  $s _ { 0 } = 31.8$ cm 
B)  $s _ { 0 } = 44.8$ cm 
C)  $s _ { 0 } = 20.7$ cm 
D)  $s _ { 0 } = 62.3$ cm 
E)  $s _ { 0 } = 29.6$ cm

Question 3

Solve the formula for the given letter. $\nu ^ { 2 } = 2 g h \text { for } h$

Accepted Answer

A)  $h = \frac { 2 \nu ^ { 2 } } { g }$ 
B)  $h = \frac { 2 g } { y ^ { 2 } }$ 
C)  $h = v ^ { 2 } + 2 g h$ 
D)  $h = v ^ { 2 } - 2 g h$ 
E)  $h = \frac { v ^ { 2 } } { 2 g }$ 
A)  $h = \frac { 2 \nu ^ { 2 } } { g }$ 
B)  $h = \frac { 2 g } { y ^ { 2 } }$ 
C)  $h = v ^ { 2 } + 2 g h$ 
D)  $h = v ^ { 2 } - 2 g h$ 
E)  $h = \frac { v ^ { 2 } } { 2 g }$

Question 4

Solve the equation and check. $- 9 y + 6 = 6 y - 9$

Accepted Answer

A)  y = 1 
B)  y = 4 
C)  y = 7 
D)  y = 3 
E)  y = 2 
A)  y = 1 
B)  y = 4 
C)  y = 7 
D)  y = 3 
E)  y = 2

Question 5

Peter and Mary earn a total of $502 by working a total of 37 hours. If Peter earns $16/h and Mary earns $10/h, how many hours did each work?

Accepted Answer

A)  Peter worked 19 hours and Mary worked 19 hours. 
B)  Mary worked 15 hours and Peter worked 22 hours. 
C)  Peter worked 24 hours and Mary worked 13 hours. 
D)  Peter worked 22 hours and Mary worked 15 hours. 
E)  Peter worked 19 hours and Mary worked 18 hours. 
A)  Peter worked 19 hours and Mary worked 19 hours. 
B)  Mary worked 15 hours and Peter worked 22 hours. 
C)  Peter worked 24 hours and Mary worked 13 hours. 
D)  Peter worked 22 hours and Mary worked 15 hours. 
E)  Peter worked 19 hours and Mary worked 18 hours.

Question 6

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , \quad A = 6,309 , \quad h = 13.0 , \quad b = 546$ Find a.

Accepted Answer

A)  $a = \frac { A } { 2 h } - b = - 303$ 
B)  $a = \frac { 2 A } { h } - b = 425$ 
C)  $a = \frac { A } { 2 ( h - b ) } = 27$ 
D)  $a = \frac { A } { 2 ( h - h ) } = 106$ 
E)  $a = \frac { A } { h } - 2 b = - 607$ 
A)  $a = \frac { A } { 2 h } - b = - 303$ 
B)  $a = \frac { 2 A } { h } - b = 425$ 
C)  $a = \frac { A } { 2 ( h - b ) } = 27$ 
D)  $a = \frac { A } { 2 ( h - h ) } = 106$ 
E)  $a = \frac { A } { h } - 2 b = - 607$

Solve the equation and check. $2 ( 8 y + 1 ) + 5 = 9 + 7 ( y - 8 )$

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given f = 13 cm and $S _ { i }$ = 22 cm, find $s 0$ .

Solve the formula for the given letter. $\nu ^ { 2 } = 2 g h \text { for } h$

Solve the equation and check. $- 9 y + 6 = 6 y - 9$

Peter and Mary earn a total of $502 by working a total of 37 hours. If Peter earns $16/h and Mary earns $10/h, how many hours did each work?

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , \quad A = 6,309 , \quad h = 13.0 , \quad b = 546$ Find a.

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. 2(8y+1)+5=9+7(y−8)2 ( 8 y + 1 ) + 5 = 9 + 7 ( y - 8 )2(8y+1)+5=9+7(y−8)

Use the formula 1f=1s0+1si\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }f1​=s0​1​+si​1​ . Given f = 13 cm and SiS _ { i }Si​ = 22 cm, find s0s 0s0 .

Solve the formula for the given letter. ν2=2gh for h\nu ^ { 2 } = 2 g h \text { for } hν2=2gh for h

Solve the equation and check. −9y+6=6y−9- 9 y + 6 = 6 y - 9−9y+6=6y−9

Peter and Mary earn a total of $502 by working a total of 37 hours. If Peter earns $16/h and Mary earns $10/h, how many hours did each work?

Given the formula: A=12h(a+b),A=6,309,h=13.0,b=546A = \frac { 1 } { 2 } h ( a + b ) , \quad A = 6,309 , \quad h = 13.0 , \quad b = 546A=21​h(a+b),A=6,309,h=13.0,b=546 Find a.

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. $2 ( 8 y + 1 ) + 5 = 9 + 7 ( y - 8 )$

Use the formula $\frac { 1 } { f } = \frac { 1 } { s _ { 0 } } + \frac { 1 } { s _ { i } }$ . Given f = 13 cm and $S _ { i }$ = 22 cm, find $s 0$ .

Solve the formula for the given letter. $\nu ^ { 2 } = 2 g h \text { for } h$

Solve the equation and check. $- 9 y + 6 = 6 y - 9$

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , \quad A = 6,309 , \quad h = 13.0 , \quad b = 546$ Find a.