Question 1

Set up an equation and solve the following problem. Pam is half as old as her brother Bill. 6 years ago Bill was 4 times older than Pam. How old is Pam now? __________ years old

Accepted Answer

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

Question 2

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

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Question 3

Solve the equation. $2 x = \frac { 1 } { 2 } \left( x - \frac { 1 } { 2 } \right)$ Enter your answer as a fraction.

Accepted Answer

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Question 4

Solve the equation. 0.3(10) $-$ x = 0.5(20 $-$ x )

Accepted Answer

The answer of Solve the equation. 0.3(10) $-$ x =...

Question 5

Set up an equation and solve the following problem. Fawn invested a certain amount of money at 9% interest and $250 more than that amount at 11%. Her total yearly interest was $55.50. How much did she invest at 9% rate? $ __________

Accepted Answer

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

Question 6

A sum of $2,900 is invested, part of it at 10% interest and the remainder at 12%. If the interest earned by the 12% investment is $117 more than the interest earned by the 10% investment, find the amount invested at each rate. Enter your answer as two numbers separated by a comma, with the amount invested at 10% listed first.

Accepted Answer

The answer of A sum of $2,900 is invested, part...

Question 7

Set up an equation and solve the following problem. A sum of $6,600 is invested, part of it at 8% interest and the remainder at 17%. If the interest earned by the 8% investment is $160 less than the interest earned by the 17% investment, find the amount invested at 8% rate. $ __________

Accepted Answer

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Question 8

Solve the equation. 0.4(20) $-$ 0.5 x + x = 0.8(20)

Accepted Answer

The answer of Solve the equation. 0.4(20) $-$ 0.5 x...

Question 9

Solve the equation. 0.4(10) + x = 0.8(20 + x )

Accepted Answer

The answer of Solve the equation. 0.4(10) + x =...

Question 10

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

Accepted Answer

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Question 11

Solve the equation. 0.4 x + 0.9(10 $-$ x ) = 0.2(10)

Accepted Answer

The answer of Solve the equation. 0.4 x + 0.9(10...

Question 12

Solve the equation. $10 x + 11 \left( 1 \frac { 1 } { 2 } - x \right) = 93$

Accepted Answer

The answer of Solve the equation. \(10 x + 11...

Question 13

Sally invested a certain sum of money at 6%, twice that sum at 7%, and three times that sum at 8%. Her total yearly interest from all three investments was $176. How much did she invest at each rate? Enter your answer as three numbers in the following order: the amount invested at 6%, the amount invested at 7%, the amount invested at 8%.

Accepted Answer

The answer of Sally invested a certain sum of money...

Quiz 4: Formulas and Problem Solving

Set up an equation and solve the following problem. Pam is half as old as her brother Bill. 6 years ago Bill was 4 times older than Pam. How old is Pam now? __________ years old

Solve the equation. 2x=12(x−12)2 x = \frac { 1 } { 2 } \left( x - \frac { 1 } { 2 } \right)2x=21​(x−21​) Enter your answer as a fraction.

Solve the equation. 0.3(10) −-− x = 0.5(20 −-− x )

Set up an equation and solve the following problem. Fawn invested a certain amount of money at 9% interest and $250 more than that amount at 11%. Her total yearly interest was $55.50. How much did she invest at 9% rate? $ __________

Set up an equation and solve the following problem. A sum of $6,600 is invested, part of it at 8% interest and the remainder at 17%. If the interest earned by the 8% investment is $160 less than the interest earned by the 17% investment, find the amount invested at 8% rate. $ __________

Solve the equation. 0.4(20) −-− 0.5 x + x = 0.8(20)

Solve the equation. 0.4(10) + x = 0.8(20 + x )

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

Solve the equation. 0.4 x + 0.9(10 −-− x ) = 0.2(10)

Solve the equation. 10x+11(112−x)=9310 x + 11 \left( 1 \frac { 1 } { 2 } - x \right) = 9310x+11(121​−x)=93

Solve the equation. $2 x = \frac { 1 } { 2 } \left( x - \frac { 1 } { 2 } \right)$ Enter your answer as a fraction.

Solve the equation. 0.3(10) $-$ x = 0.5(20 $-$ x )

Solve the equation. 0.4(20) $-$ 0.5 x + x = 0.8(20)

Solve the equation. 0.4 x + 0.9(10 $-$ x ) = 0.2(10)

Solve the equation. $10 x + 11 \left( 1 \frac { 1 } { 2 } - x \right) = 93$