Question 1

Solve the equation and check. $2 ( y + 2 ) = y - 10$ y = __________

Accepted Answer

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

Question 2

Solve the equation and check. $9 a - 8 ( a - 10 ) = 14$

Accepted Answer

A)  a = -66 
B)  a = -67 
C)  a = -63 
D)  a = 94 
E)  a = -71 
A)  a = -66 
B)  a = -67 
C)  a = -63 
D)  a = 94 
E)  a = -71

Question 3

Solve the equation and check. $17 x + 4 = 10 x - 3$

Accepted Answer

A)  x = 6 
B)  x = 1 
C)  x = -4 
D)  x = -5 
E)  x = -1 
A)  x = 6 
B)  x = 1 
C)  x = -4 
D)  x = -5 
E)  x = -1

Question 4

Solve the equation and check. $7 ( 2 x + 7 ) = 37 + 2 ( 8 x + 2 )$

Accepted Answer

A)  x = 3 
B)  x = -2 
C)  x = 4 
D)  x = 2 
E)  x = -4 
A)  x = 3 
B)  x = -2 
C)  x = 4 
D)  x = 2 
E)  x = -4

Question 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?
 
__________ mL of the 70% solution.
__________ mL of the 10% solution.

Accepted Answer

The answer of Mix a solution that is 70% alcohol...

Question 6

Solve the equation and check. $\frac { r } { 13 } + 2 = 4$ r = __________

Accepted Answer

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

Question 7

A set of four built-in bookshelves in to be constructed in a room. The floor-to-ceiling clearance is 6 ft 1 in. Each shelf is 7 in. thick. An equal space is to be left between shelves. What space should there be between each shelf and the next? ( There is no shelf against the ceiling and no shelf on the floor. ) Please do not use the rules for calculating with measurements.

Accepted Answer

A)  $14$ in. 
B)  $12$ in. 
C)  $11$ in. 
D)  $17$ in. 
E)  $9$ in. 
A)  $14$ in. 
B)  $12$ in. 
C)  $11$ in. 
D)  $17$ in. 
E)  $9$ in.

Question 8

Solve the equation and check. $\frac { 8 x } { 3 } - 67 = - \frac { x } { 8 }$

Accepted Answer

A)  $x = 34$ 
B)  $x = 24$ 
C)  $x = 26$ 
D)  $x = 29$ 
E)  $x = - 32$ 
A)  $x = 34$ 
B)  $x = 24$ 
C)  $x = 26$ 
D)  $x = 29$ 
E)  $x = - 32$

Question 9

Solve the equation and check. $3 x - 1 = 7 x - 21$

Accepted Answer

A)  x = 5.5 
B)  x = 5 
C)  x = 6 
D)  x = 7 
E)  x = 2.5 
A)  x = 5.5 
B)  x = 5 
C)  x = 6 
D)  x = 7 
E)  x = 2.5

Question 10

Solve the equation and simplify your answer. Check your answer using the original equation. $\frac { 2 } { 5 } n = 8$

Accepted Answer

A)  20 
B)  19 
C)  -17 
D)  -20 
E)  21 
A)  20 
B)  19 
C)  -17 
D)  -20 
E)  21

Question 11

Solve the formula for the given letter.
w = mg  for  m

Accepted Answer

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

Question 12

Solve the equation and check. $8 - \frac { 1 } { x } = 25$

Accepted Answer

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

Question 13

Saw a board 4 ft 1 in. long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be? Please do not use the rules for calculating with measurements.

Accepted Answer

A)  $10.5$ in. 
B)  $8$ in. 
C)  $14$ in. 
D)  $16$ in. 
E)  $8.2$ in. 
A)  $10.5$ in. 
B)  $8$ in. 
C)  $14$ in. 
D)  $16$ in. 
E)  $8.2$ in.

Question 14

Solve the equation. $\frac { x } { 35 } = \frac { 9 } { 5 }$

Accepted Answer

A)  $x = 63$ 
B)  $x = 8$ 
C)  $x = 68$ 
D)  $x = 65$ 
E)  $x = 62$ 
A)  $x = 63$ 
B)  $x = 8$ 
C)  $x = 68$ 
D)  $x = 65$ 
E)  $x = 62$

Question 15

Solve the equation and check. $\frac { y } { 17 } = 3$

Accepted Answer

A)  60 
B)  51 
C)  45 
D)  53 
E)  48 
A)  60 
B)  51 
C)  45 
D)  53 
E)  48

Question 16

Solve the equation and check. $4 ( x + 4 ) = 51 - ( x - 5 )$

Accepted Answer

A)  x = 4 
B)  x = 5 
C)  x = 8 
D)  x = 6 
E)  x = 9 
A)  x = 4 
B)  x = 5 
C)  x = 8 
D)  x = 6 
E)  x = 9

Question 17

Solve the equation and check. 2y - $24$ = - y

Accepted Answer

A)  y = 3 
B)  y = 11 
C)  y = 8 
D)  y = 9 
E)  y = 12 
A)  y = 3 
B)  y = 11 
C)  y = 8 
D)  y = 9 
E)  y = 12

Question 18

Solve the formula for the given letter. $C = 2 \pi r \text { for } r$

Accepted Answer

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

Question 19

Solve the formula for the given letter. $A x + B y + C = 0 \text { for } x$

Accepted Answer

A)  $x = \frac { - C + B y } { A }$ 
B)  $x = \frac { A C + B y } { A }$ 
C)  $x = \frac { C + B y } { A }$ 
D)  $x = \frac { C - B y } { A }$ 
E)  $x = \frac { - C - B y } { A }$ 
A)  $x = \frac { - C + B y } { A }$ 
B)  $x = \frac { A C + B y } { A }$ 
C)  $x = \frac { C + B y } { A }$ 
D)  $x = \frac { C - B y } { A }$ 
E)  $x = \frac { - C - B y } { A }$

Question 20

Solve the equation and check. $\frac { 7 } { 2 x } + 15 \frac { 1 } { 2 } = \frac { 7 } { x } - 9$

Accepted Answer

A)  $x = \frac { 1 } { 7 }$ 
B)  $x = \frac { 1 } { 8 }$ 
C)  $x = \frac { 1 } { 10 }$ 
D)  $x = \frac { 1 } { 11 }$ 
E)  $x = \frac { 1 } { 9 }$ 
A)  $x = \frac { 1 } { 7 }$ 
B)  $x = \frac { 1 } { 8 }$ 
C)  $x = \frac { 1 } { 10 }$ 
D)  $x = \frac { 1 } { 11 }$ 
E)  $x = \frac { 1 } { 9 }$

Solve the equation and check. $2 ( y + 2 ) = y - 10$ y = __________

Solve the equation and check. $9 a - 8 ( a - 10 ) = 14$

Solve the equation and check. $17 x + 4 = 10 x - 3$

Solve the equation and check. $7 ( 2 x + 7 ) = 37 + 2 ( 8 x + 2 )$

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? mL of the 70% solution. mL of the 10% solution.

Solve the equation and check. $\frac { r } { 13 } + 2 = 4$ r = __________

Solve the equation and check. $\frac { 8 x } { 3 } - 67 = - \frac { x } { 8 }$

Solve the equation and check. $3 x - 1 = 7 x - 21$

Solve the equation and simplify your answer. Check your answer using the original equation. $\frac { 2 } { 5 } n = 8$

Solve the formula for the given letter. w = mg for m

Solve the equation and check. $8 - \frac { 1 } { x } = 25$

Saw a board 4 ft 1 in. long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be? Please do not use the rules for calculating with measurements.

Solve the equation. $\frac { x } { 35 } = \frac { 9 } { 5 }$

Solve the equation and check. $\frac { y } { 17 } = 3$

Solve the equation and check. $4 ( x + 4 ) = 51 - ( x - 5 )$

Solve the equation and check. 2y - $24$ = - y

Solve the formula for the given letter. $C = 2 \pi r \text { for } r$

Solve the formula for the given letter. $A x + B y + C = 0 \text { for } x$

Solve the equation and check. $\frac { 7 } { 2 x } + 15 \frac { 1 } { 2 } = \frac { 7 } { x } - 9$

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(y+2)=y−102 ( y + 2 ) = y - 102(y+2)=y−10 y = __________

Solve the equation and check. 9a−8(a−10)=149 a - 8 ( a - 10 ) = 149a−8(a−10)=14

Solve the equation and check. 17x+4=10x−317 x + 4 = 10 x - 317x+4=10x−3

Solve the equation and check. 7(2x+7)=37+2(8x+2)7 ( 2 x + 7 ) = 37 + 2 ( 8 x + 2 )7(2x+7)=37+2(8x+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? __________ mL of the 70% solution. __________ mL of the 10% solution.

Solve the equation and check. r13+2=4\frac { r } { 13 } + 2 = 413r​+2=4 r = __________

Solve the equation and check. 8x3−67=−x8\frac { 8 x } { 3 } - 67 = - \frac { x } { 8 }38x​−67=−8x​

Solve the equation and check. 3x−1=7x−213 x - 1 = 7 x - 213x−1=7x−21

Solve the equation and simplify your answer. Check your answer using the original equation. 25n=8\frac { 2 } { 5 } n = 852​n=8

Solve the formula for the given letter. w = mg for m

Solve the equation and check. 8−1x=258 - \frac { 1 } { x } = 258−x1​=25

Saw a board 4 ft 1 in. long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be? Please do not use the rules for calculating with measurements.

Solve the equation. x35=95\frac { x } { 35 } = \frac { 9 } { 5 }35x​=59​

Solve the equation and check. y17=3\frac { y } { 17 } = 317y​=3

Solve the equation and check. 4(x+4)=51−(x−5)4 ( x + 4 ) = 51 - ( x - 5 )4(x+4)=51−(x−5)

Solve the equation and check. 2y - 242424 = - y

Solve the formula for the given letter. C=2πr for rC = 2 \pi r \text { for } rC=2πr for r

Solve the formula for the given letter. Ax+By+C=0 for xA x + B y + C = 0 \text { for } xAx+By+C=0 for x

Solve the equation and check. 72x+1512=7x−9\frac { 7 } { 2 x } + 15 \frac { 1 } { 2 } = \frac { 7 } { x } - 92x7​+1521​=x7​−9

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. $2 ( y + 2 ) = y - 10$ y = __________

Solve the equation and check. $9 a - 8 ( a - 10 ) = 14$

Solve the equation and check. $17 x + 4 = 10 x - 3$

Solve the equation and check. $7 ( 2 x + 7 ) = 37 + 2 ( 8 x + 2 )$

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? mL of the 70% solution. mL of the 10% solution.

Solve the equation and check. $\frac { r } { 13 } + 2 = 4$ r = __________

Solve the equation and check. $\frac { 8 x } { 3 } - 67 = - \frac { x } { 8 }$

Solve the equation and check. $3 x - 1 = 7 x - 21$

Solve the equation and simplify your answer. Check your answer using the original equation. $\frac { 2 } { 5 } n = 8$

Solve the equation and check. $8 - \frac { 1 } { x } = 25$

Solve the equation. $\frac { x } { 35 } = \frac { 9 } { 5 }$

Solve the equation and check. $\frac { y } { 17 } = 3$

Solve the equation and check. $4 ( x + 4 ) = 51 - ( x - 5 )$

Solve the equation and check. 2y - $24$ = - y

Solve the formula for the given letter. $C = 2 \pi r \text { for } r$

Solve the formula for the given letter. $A x + B y + C = 0 \text { for } x$

Solve the equation and check. $\frac { 7 } { 2 x } + 15 \frac { 1 } { 2 } = \frac { 7 } { x } - 9$