Question 1

Solve the equation. $\frac { n } { 135 - n } = \frac { 7 } { 8 }$

Accepted Answer

The answer of Solve the equation. \(\frac { n }...

Question 2

Solve the equation for x . $\frac { x - 5 } { 15 } = \frac { y - 8 } { 24 }$

Accepted Answer

The answer of Solve the equation for x . \(\frac...

Question 3

The first step to solve a word problem is to sketch a figure, diagram or chart.

Accepted Answer

A) True 
 B)False

Question 4

Solve the equation. $\frac { - 8 } { x + 7 } = \frac { - 9 } { x - 8 }$

Accepted Answer

A)  x = -125 
B)  x = -122 
C)  x = -127 
D)  x = -136 
E)  x = -128 
A)  x = -125 
B)  x = -122 
C)  x = -127 
D)  x = -136 
E)  x = -128

Question 5

If the store advertises a 30% off sale, the price of an item is $( 0.70 )$ (original price of item).

Accepted Answer

A) True 
 B)False

Question 6

Solve the following equation. Your calculator might be of some help. 0.4 x + 9.6(589 $-$ x ) = 3,141

Accepted Answer

A)  x = 956 
B)  x = 925 
C)  x = 979 
D)  x = 968 
E)  none of these 
A)  x = 956 
B)  x = 925 
C)  x = 979 
D)  x = 968 
E)  none of these

Question 7

Solve the equation. $760 ( 2.6 t ) = 760$ Please give the answer rounded to two decimal places.

Accepted Answer

A)  t = 0.13 
B)  t = 0.38 
C)  t = 292.31 
D)  t = 3.85 
A)  t = 0.13 
B)  t = 0.38 
C)  t = 292.31 
D)  t = 3.85

Question 8

Solve the equation. $\frac { x + 2 } { 4 } - \frac { x + 3 } { 5 } = 1$

Accepted Answer

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

Question 9

Freddie leaves home and rides his bicycle out into the country for 1.8 hours. On his return trip along the same route, it takes him 0.3 of an hour longer. If his rate on the return trip was 2 miles per hour slower than on the trip out into the country, find the total roundtrip distance. __________ miles

Accepted Answer

The answer of Freddie leaves home and rides his bicycle...

Question 10

If 20 pounds of fertilizer will cover 1,490 square feet of lawn, how many pounds are needed for 2,980 square feet?

Accepted Answer

A)  42 pounds 
B)  40 pounds 
C)  30 pounds 
D)  45 pounds 
A)  42 pounds 
B)  40 pounds 
C)  30 pounds 
D)  45 pounds

Question 11

A formula can be expressed as an equation or an inequality.

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

The answer of Volume of a pyramid. Solve the formula...

Question 13

Solve the equation. $35 \left( x - \frac { 4 } { 5 } \right) = 10 x + 122$

Accepted Answer

The answer of Solve the equation. \(35 \left( x -...

Question 14

In a formula with three variable, the equation can be solved for any one of the variables.

Accepted Answer

A) True 
 B)False

Question 15

Use the formula $i = P r t$ to reach a solution for the following problem. Find the annual interest rate if $2,616.00 in interest is earned when $2,180 is invested for 8 years.

Accepted Answer

A)  14% 
B)  20% 
C)  16% 
D)  15% 
E)  none of these 
A)  14% 
B)  20% 
C)  16% 
D)  15% 
E)  none of these

Question 16

Simple interest formula. Solve the formula for t . A = P + Prt

Accepted Answer

A)  $t = \frac { 1 } { r } \left( \frac { A } { P } + 1 \right)$ 
B)  $t = \frac { 1 } { r } \left( \frac { A } { P } - 1 \right)$ 
C)  $t = \frac { 1 } { P } \left( \frac { A } { r } - 1 \right)$ 
D)  none of these 
A)  $t = \frac { 1 } { r } \left( \frac { A } { P } + 1 \right)$ 
B)  $t = \frac { 1 } { r } \left( \frac { A } { P } - 1 \right)$ 
C)  $t = \frac { 1 } { P } \left( \frac { A } { r } - 1 \right)$ 
D)  none of these

Question 17

Find the cost of a $4,700 wide-screen television that is on sale for 25% off.

Accepted Answer

A)  $3,532 
B)  $3,539 
C)  $3,546 
D)  $3,525 
E)  $3,553 
A)  $3,532 
B)  $3,539 
C)  $3,546 
D)  $3,525 
E)  $3,553

Question 18

Solve $V = \frac { 1 } { 3 } B h$ for B if V = 10, h = 2.

Accepted Answer

A)  B = 10 
B)  B = 15 
C)  B = 17 
D)  B = 20 
E)  none of these 
A)  B = 10 
B)  B = 15 
C)  B = 17 
D)  B = 20 
E)  none of these

Question 19

Set up an equation and solve the following problem. Suppose that Karen, riding her bicycle at 13 miles per hour, rode 8 miles farther than Michelle, who was riding her bicycle at 8 miles per hour. Karen rode for 30 minutes longer than Michelle. How long (in hours) did Michelle ride her bicycle? __________ hours

Accepted Answer

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

Question 20

Solve the equation. $\frac { - 3 } { x + 8 } = \frac { - 4 } { x - 8 }$

Accepted Answer

A)  x = -51 
B)  x = -57 
C)  x = -54 
D)  x = -56 
E)  x = -65 
A)  x = -51 
B)  x = -57 
C)  x = -54 
D)  x = -56 
E)  x = -65

Solve the equation. $\frac { n } { 135 - n } = \frac { 7 } { 8 }$

Solve the equation for x . $\frac { x - 5 } { 15 } = \frac { y - 8 } { 24 }$

The first step to solve a word problem is to sketch a figure, diagram or chart.

Solve the equation. $\frac { - 8 } { x + 7 } = \frac { - 9 } { x - 8 }$

If the store advertises a 30% off sale, the price of an item is $( 0.70 )$ (original price of item).

Solve the following equation. Your calculator might be of some help. 0.4 x + 9.6(589 $-$ x ) = 3,141

Solve the equation. $760 ( 2.6 t ) = 760$ Please give the answer rounded to two decimal places.

Solve the equation. $\frac { x + 2 } { 4 } - \frac { x + 3 } { 5 } = 1$

If 20 pounds of fertilizer will cover 1,490 square feet of lawn, how many pounds are needed for 2,980 square feet?

A formula can be expressed as an equation or an inequality.

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

Solve the equation. $35 \left( x - \frac { 4 } { 5 } \right) = 10 x + 122$

In a formula with three variable, the equation can be solved for any one of the variables.

Use the formula $i = P r t$ to reach a solution for the following problem. Find the annual interest rate if $2,616.00 in interest is earned when $2,180 is invested for 8 years.

Simple interest formula. Solve the formula for t . A = P + Prt

Find the cost of a $4,700 wide-screen television that is on sale for 25% off.

Solve $V = \frac { 1 } { 3 } B h$ for B if V = 10, h = 2.

Solve the equation. $\frac { - 3 } { x + 8 } = \frac { - 4 } { x - 8 }$

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. n135−n=78\frac { n } { 135 - n } = \frac { 7 } { 8 }135−nn​=87​

Solve the equation for x . x−515=y−824\frac { x - 5 } { 15 } = \frac { y - 8 } { 24 }15x−5​=24y−8​

The first step to solve a word problem is to sketch a figure, diagram or chart.

Solve the equation. −8x+7=−9x−8\frac { - 8 } { x + 7 } = \frac { - 9 } { x - 8 }x+7−8​=x−8−9​

If the store advertises a 30% off sale, the price of an item is (0.70)( 0.70 )(0.70) (original price of item).

Solve the following equation. Your calculator might be of some help. 0.4 x + 9.6(589 −-− x ) = 3,141

Solve the equation. 760(2.6t)=760760 ( 2.6 t ) = 760760(2.6t)=760 Please give the answer rounded to two decimal places.

Solve the equation. x+24−x+35=1\frac { x + 2 } { 4 } - \frac { x + 3 } { 5 } = 14x+2​−5x+3​=1

If 20 pounds of fertilizer will cover 1,490 square feet of lawn, how many pounds are needed for 2,980 square feet?

A formula can be expressed as an equation or an inequality.

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

Solve the equation. 35(x−45)=10x+12235 \left( x - \frac { 4 } { 5 } \right) = 10 x + 12235(x−54​)=10x+122

In a formula with three variable, the equation can be solved for any one of the variables.

Use the formula i=Prti = P r ti=Prt to reach a solution for the following problem. Find the annual interest rate if $2,616.00 in interest is earned when $2,180 is invested for 8 years.

Simple interest formula. Solve the formula for t . A = P + Prt

Find the cost of a $4,700 wide-screen television that is on sale for 25% off.

Solve V=13BhV = \frac { 1 } { 3 } B hV=31​Bh for B if V = 10, h = 2.

Solve the equation. −3x+8=−4x−8\frac { - 3 } { x + 8 } = \frac { - 4 } { x - 8 }x+8−3​=x−8−4​

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. $\frac { n } { 135 - n } = \frac { 7 } { 8 }$

Solve the equation for x . $\frac { x - 5 } { 15 } = \frac { y - 8 } { 24 }$

Solve the equation. $\frac { - 8 } { x + 7 } = \frac { - 9 } { x - 8 }$

If the store advertises a 30% off sale, the price of an item is $( 0.70 )$ (original price of item).

Solve the following equation. Your calculator might be of some help. 0.4 x + 9.6(589 $-$ x ) = 3,141

Solve the equation. $760 ( 2.6 t ) = 760$ Please give the answer rounded to two decimal places.

Solve the equation. $\frac { x + 2 } { 4 } - \frac { x + 3 } { 5 } = 1$

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

Solve the equation. $35 \left( x - \frac { 4 } { 5 } \right) = 10 x + 122$

Use the formula $i = P r t$ to reach a solution for the following problem. Find the annual interest rate if $2,616.00 in interest is earned when $2,180 is invested for 8 years.

Solve $V = \frac { 1 } { 3 } B h$ for B if V = 10, h = 2.

Solve the equation. $\frac { - 3 } { x + 8 } = \frac { - 4 } { x - 8 }$