Question 1

Solve for x:
  = 2x - 10

Accepted Answer

The answer of Solve for x:
  = 2x -...

Question 2

Solve for x: + 3x(1.5)² = 100

Accepted Answer

The answer of Solve for x: + 3x(1.5)² =...

Question 3

If actual sales of $18,000 were 36% of budgeted sales, what were the budgeted sales?

Accepted Answer

To find the budgeted sales, divide the actual sales by the percentage they represent of the budgeted sales: $18,000 / 0.36 = $50,000.

Question 4

0.51% of $8500.00 =

Accepted Answer

To find 0.51% of $8500.00, you multiply 8500 by 0.51% (or 0.0051 in decimal form), which equals $43.35 (rounded to $43.44 due to rounding in the question).

Question 5

35% of $180.00 is what amount?

Accepted Answer

35% of $180.00 is calculated as 0.35 * 180 = $63.00.

Question 6

What number is
  less than 250?

Accepted Answer

The answer of What number is
  less than 250?
...

Question 7

After adding  to a sum of money, the new amount is $45,000.00. What was the original amount of money?

Accepted Answer

The answer of After adding  to a sum of...

Question 8

Susan is paid a 15% commission of her sales. If she earns a commission of $3800, what was the amount of her sales?

Accepted Answer

To find the sales amount, divide the commission by the commission rate: $3800 / 0.15 = $25,333.33.

Question 9

An item listed at 40% above cost was sold by a dealer during a special sale at a 15% reduction from the list price. What did the item cost the dealer if it was sold for $23,765.00?

Accepted Answer

The item was sold for $23,765 after a 15% reduction from the list price. To find the list price (LP), we can set up the equation: $23,765 = LP * (1 - 0.15) or LP = $23,765 / 0.85 = $27,958.82. This list price is 40% above the cost price (CP), so LP = CP * 1.40. Solving for CP gives CP = $27,958.82 / 1.40 = $19,970.59.

Question 10

The retail price of an item is $625.50. This includes a markup of three-quarters of the wholesale cost to the retailer. What is the wholesale cost?

Accepted Answer

The retail price is the wholesale cost plus a markup of 75% of the wholesale cost. Let the wholesale cost be x. Then, x + 0.75x = $625.50, which simplifies to 1.75x = $625.50. Solving for x gives x = $625.50 / 1.75 = $357.43.

Question 11

What sum of money, increased by 7% equals $187.25?

Accepted Answer

The answer of What sum of money, increased by 7%...

Question 12

After a 5.25% raise, Johnny earned $19.28 per hour. What was his hourly rate before the raise?

Accepted Answer

To find the original hourly rate, divide the new rate by 1.0525 (since 5.25% raise means the new rate is 105.25% of the old rate). $19.28 / 1.0525 = $18.32.

Question 13

The population of Enfield has increased by 36% over the last five years. If the current population is 89,244 what was it 5 years ago?

Accepted Answer

The current population is the result of a 36% increase over the past population. To find the past population, divide the current population by 1.36 (100% + 36% = 136% = 1.36 in decimal form). So, 89,244 / 1.36 = 65,621.

Question 14

Bart purchased three-quarters of a 32% interest in a Swiss Chalet franchise for $270,000. What is implied value of the franchise?

Accepted Answer

Bart's purchase represents 75% of a 32% interest, which is 24% of the franchise. If 24% is valued at $270,000, then the full value (100%) of the franchise is $270,000 / 0.24 = $1,125,000.

Question 15

Solve for x and y in the following pair of equations:
Y = -0.2x + 4.2
X - 0.5y = 10

Accepted Answer

To solve for x and y, substitute the first equation into the second. From Y = -0.2x + 4.2, substitute Y in X - 0.5Y = 10, giving X - 0.5(-0.2X + 4.2) = 10. Simplifying, X + 0.1X - 2.1 = 10, leading to 1.1X = 12.1, so X = 11. Substituting X = 11 into Y = -0.2(11) + 4.2 gives Y = 2.

Question 16

Evaluate to six-figure accuracy:

Accepted Answer

The answer of Evaluate to six-figure accuracy:
 ...

Question 17

Simplify and collect like terms:

Accepted Answer

The answer of Simplify and collect like terms:
 ...

Question 18

Simplify and collect like terms:

Accepted Answer

The answer of Simplify and collect like terms:
 ...

Question 19

Simplify and collect like terms:

Accepted Answer

The answer of Simplify and collect like terms: ...

Question 20

Simplify and collect like terms:

Accepted Answer

The answer of Simplify and collect like terms: ...

Quiz 2: Review and Applications of Algebra

Solve for x: = 2x - 10

Solve for x: + 3x(1.5) ² = 100

If actual sales of $18,000 were 36% of budgeted sales, what were the budgeted sales?

0.51% of $8500.00 =

35% of $180.00 is what amount?

What number is less than 250?

After adding to a sum of money, the new amount is $45,000.00. What was the original amount of money?

Susan is paid a 15% commission of her sales. If she earns a commission of $3800, what was the amount of her sales?

An item listed at 40% above cost was sold by a dealer during a special sale at a 15% reduction from the list price. What did the item cost the dealer if it was sold for $23,765.00?

The retail price of an item is $625.50. This includes a markup of three-quarters of the wholesale cost to the retailer. What is the wholesale cost?

What sum of money, increased by 7% equals $187.25?

After a 5.25% raise, Johnny earned $19.28 per hour. What was his hourly rate before the raise?

The population of Enfield has increased by 36% over the last five years. If the current population is 89,244 what was it 5 years ago?

Bart purchased three-quarters of a 32% interest in a Swiss Chalet franchise for $270,000. What is implied value of the franchise?

Solve for x and y in the following pair of equations: Y = -0.2x + 4.2 X - 0.5y = 10

Evaluate to six-figure accuracy:

Simplify and collect like terms:

Simplify and collect like terms:

Simplify and collect like terms:

Simplify and collect like terms:

Quiz 2: Review and Applications of Algebra

Solve for x: = 2x - 10

Solve for x: + 3x(1.5) 2 = 100

If actual sales of $18,000 were 36% of budgeted sales, what were the budgeted sales?

0.51% of $8500.00 =

35% of $180.00 is what amount?

What number is less than 250?

After adding to a sum of money, the new amount is $45,000.00. What was the original amount of money?

Susan is paid a 15% commission of her sales. If she earns a commission of $3800, what was the amount of her sales?

An item listed at 40% above cost was sold by a dealer during a special sale at a 15% reduction from the list price. What did the item cost the dealer if it was sold for $23,765.00?

The retail price of an item is $625.50. This includes a markup of three-quarters of the wholesale cost to the retailer. What is the wholesale cost?

What sum of money, increased by 7% equals $187.25?

After a 5.25% raise, Johnny earned $19.28 per hour. What was his hourly rate before the raise?

The population of Enfield has increased by 36% over the last five years. If the current population is 89,244 what was it 5 years ago?

Bart purchased three-quarters of a 32% interest in a Swiss Chalet franchise for $270,000. What is implied value of the franchise?

Solve for x and y in the following pair of equations: Y = -0.2x + 4.2 X - 0.5y = 10

Evaluate to six-figure accuracy:

Simplify and collect like terms:

Simplify and collect like terms:

Simplify and collect like terms:

Simplify and collect like terms:

Solve for x: + 3x(1.5) ² = 100