Question 1

Solve the equation. $\frac { - 5 } { x + 7 } = \frac { - 6 } { x - 7 }$

Accepted Answer

The answer of Solve the equation. \(\frac { - 5...

Question 2

Set up an equation and solve the following problem. The perimeter of a triangle is 45 centimeters. The longest side is 1 centimeter longer than twice the shortest side. The other side is 4 centimeters shorter than the longest side. Find the length of longest side. __________ centimeters

Accepted Answer

The answer of Set up an equation and solve the...

Question 3

The second side of a triangle is 1centimeter longer than 5 times the first side. The third side is 1 centimeters longer than the second side. If the perimeter is 58 centimeters, find the length of each side of the triangle. Please enter your answer as three numbers without the units, listed from least to greatest, separated by commas.

Accepted Answer

The answer of The second side of a triangle is...

Question 4

Solve the equation. $35 \left( z - \frac { 2 } { 5 } \right) = 2 z + 85$

Accepted Answer

A)  z = 2 
B)  z = 6 
C)  z = 8 
D)  z = 3 
A)  z = 2 
B)  z = 6 
C)  z = 8 
D)  z = 3

Question 5

Solve the equation. $\frac { 7 } { 2 } y + \frac { 7 } { 2 } ( y + 8 ) = 42$

Accepted Answer

A)  y = 2 
B)  y = 5 
C)  y = 12 
D)  y = 1 
A)  y = 2 
B)  y = 5 
C)  y = 12 
D)  y = 1

Question 6

Set up an equation and solve the following problem. Erin starts walking from point A at 1 mile per hour. One-half hour later, Chris starts walking from point A at 6 miles per hour and follows the same route. How long (in hours) will it take Chris to catch up with Erin?

Accepted Answer

A)  0.3 hour 
B)  0.1 hour 
C)  0.5 hour 
D)  0.05 hour 
E)  0.4 hour 
A)  0.3 hour 
B)  0.1 hour 
C)  0.5 hour 
D)  0.05 hour 
E)  0.4 hour

Question 7

Solve the equation. $\frac { x - 6 } { 6 } = \frac { x + 9 } { 7 }$

Accepted Answer

The answer of Solve the equation. \(\frac { x -...

Question 8

To solve for a variable means to isolate it on one side of the equals sign.

Accepted Answer

A) True 
 B)False

Question 9

Solve the equation. $4 x = \frac { 3 } { 2 } \left( x - \frac { 1 } { 2 } \right)$

Accepted Answer

A)  x = 5 
B)  x = $-$ 3 
C)  $x = - \frac { 3 } { 10 }$ 
D)  $x = - \frac { 1 } { 5 }$ 
E)  x = 8 
A)  x = 5 
B)  x = $-$ 3 
C)  $x = - \frac { 3 } { 10 }$ 
D)  $x = - \frac { 1 } { 5 }$ 
E)  x = 8

Question 10

Suppose that the length of a rectangle is 72 centimeters less than 8 times its width. The perimeter of the rectangle is 90 centimeters. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of Suppose that the length of a rectangle...

Question 11

Solve the equation. $\frac { n } { 104 - n } = \frac { 11 } { 2 }$

Accepted Answer

A)  n = 93 
B)  n = 90 
C)  n = 88 
D)  n = 87 
A)  n = 93 
B)  n = 90 
C)  n = 88 
D)  n = 87

Question 12

Volume of a pyramid. Solve the formula for h . $$V = \frac { 1 } { 3 } B h$$

Accepted Answer

A)  $h = 3 V B$ 
B)  $h = 3 \frac { V } { B }$ 
C)  $h = \frac { V } { 3 B }$ 
D)  none of these 
A)  $h = 3 V B$ 
B)  $h = 3 \frac { V } { B }$ 
C)  $h = \frac { V } { 3 B }$ 
D)  none of these

Question 13

If the total surface area of a right circular cylinder is $288 \pi$ square meters and a radius of the base is 9 meters long, find the height of the cylinder. __________ meters

Accepted Answer

The answer of If the total surface area of a...

Solve the equation. $\frac { - 5 } { x + 7 } = \frac { - 6 } { x - 7 }$

Set up an equation and solve the following problem. The perimeter of a triangle is 45 centimeters. The longest side is 1 centimeter longer than twice the shortest side. The other side is 4 centimeters shorter than the longest side. Find the length of longest side. __________ centimeters

Solve the equation. $35 \left( z - \frac { 2 } { 5 } \right) = 2 z + 85$

Solve the equation. $\frac { 7 } { 2 } y + \frac { 7 } { 2 } ( y + 8 ) = 42$

Set up an equation and solve the following problem. Erin starts walking from point A at 1 mile per hour. One-half hour later, Chris starts walking from point A at 6 miles per hour and follows the same route. How long (in hours) will it take Chris to catch up with Erin?

Solve the equation. $\frac { x - 6 } { 6 } = \frac { x + 9 } { 7 }$

To solve for a variable means to isolate it on one side of the equals sign.

Solve the equation. $4 x = \frac { 3 } { 2 } \left( x - \frac { 1 } { 2 } \right)$

Suppose that the length of a rectangle is 72 centimeters less than 8 times its width. The perimeter of the rectangle is 90 centimeters. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Solve the equation. $\frac { n } { 104 - n } = \frac { 11 } { 2 }$

Volume of a pyramid. Solve the formula for h . $V = \frac { 1 } { 3 } B h$

If the total surface area of a right circular cylinder is $288 \pi$ square meters and a radius of the base is 9 meters long, find the height of the cylinder. __________ meters

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 4: Formulas and Problem Solving

Solve the equation. −5x+7=−6x−7\frac { - 5 } { x + 7 } = \frac { - 6 } { x - 7 }x+7−5​=x−7−6​

Set up an equation and solve the following problem. The perimeter of a triangle is 45 centimeters. The longest side is 1 centimeter longer than twice the shortest side. The other side is 4 centimeters shorter than the longest side. Find the length of longest side. __________ centimeters

Solve the equation. 35(z−25)=2z+8535 \left( z - \frac { 2 } { 5 } \right) = 2 z + 8535(z−52​)=2z+85

Solve the equation. 72y+72(y+8)=42\frac { 7 } { 2 } y + \frac { 7 } { 2 } ( y + 8 ) = 4227​y+27​(y+8)=42

Set up an equation and solve the following problem. Erin starts walking from point A at 1 mile per hour. One-half hour later, Chris starts walking from point A at 6 miles per hour and follows the same route. How long (in hours) will it take Chris to catch up with Erin?

Solve the equation. x−66=x+97\frac { x - 6 } { 6 } = \frac { x + 9 } { 7 }6x−6​=7x+9​

To solve for a variable means to isolate it on one side of the equals sign.

Solve the equation. 4x=32(x−12)4 x = \frac { 3 } { 2 } \left( x - \frac { 1 } { 2 } \right)4x=23​(x−21​)

Suppose that the length of a rectangle is 72 centimeters less than 8 times its width. The perimeter of the rectangle is 90 centimeters. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Solve the equation. n104−n=112\frac { n } { 104 - n } = \frac { 11 } { 2 }104−nn​=211​

Volume of a pyramid. Solve the formula for h . V=13BhV = \frac { 1 } { 3 } B hV=31​Bh

If the total surface area of a right circular cylinder is 288π288 \pi288π square meters and a radius of the base is 9 meters long, find the height of the cylinder. __________ meters

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Solve the equation. $\frac { - 5 } { x + 7 } = \frac { - 6 } { x - 7 }$

Solve the equation. $35 \left( z - \frac { 2 } { 5 } \right) = 2 z + 85$

Solve the equation. $\frac { 7 } { 2 } y + \frac { 7 } { 2 } ( y + 8 ) = 42$

Solve the equation. $\frac { x - 6 } { 6 } = \frac { x + 9 } { 7 }$

Solve the equation. $4 x = \frac { 3 } { 2 } \left( x - \frac { 1 } { 2 } \right)$

Solve the equation. $\frac { n } { 104 - n } = \frac { 11 } { 2 }$

Volume of a pyramid. Solve the formula for h . $V = \frac { 1 } { 3 } B h$

If the total surface area of a right circular cylinder is $288 \pi$ square meters and a radius of the base is 9 meters long, find the height of the cylinder. __________ meters