Question 1

If the denominator of a fraction decreases by 20% and the numerator remains unchanged, by what percentage does the value of the fraction change?

Accepted Answer

The answer of If the denominator of a fraction decreases...

Question 2

How much is $102 after a decrease of 100%?

Accepted Answer

The answer of How much is $102 after a decrease...

Question 3

Solve for x: 
$-\left(\frac{1}{2} x-5\right)=2 x-10$

Accepted Answer

A)  6 
B)  -6 
C)  -10 
D)  $3 \frac{1}{3}$ 
E)  10

Question 4

Evaluate and calculate to the cent: P(1 + rt) for P = $770, r = 0.013,$t=\frac{223}{365}$

Accepted Answer

The answer of Evaluate and calculate to the cent: P(1...

Question 5

A web site had 2/7 more hits last month than in the same month of the preceding year. If there were 2655 hits last month, how many were there 1 year earlier?

Accepted Answer

The answer of A web site had 2/7 more hits...

Question 6

Evaluate and calculate to the cent:
$\frac{I}{r t}$ for r = 0.095, I = $23.21, $t=\frac{283}{365}$

Accepted Answer

The answer of Evaluate and calculate to the cent:
$\frac{I}{r t}$...

Question 7

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

A)  $44,705.88 
B)  $25,333.33 
C)  $4470.59 
D)  $7030.00 
E)  $3230.00

Question 8

Calculate the final result to two decimal places, where z = .1515 $\frac{z}{4}+z^{4}+\frac{7}{9}-.25 z^{2}+\frac{2}{3}$

Accepted Answer

A)  .48 
B)  2.65 
C)  1.48 
D)  3.22 
E)  5.48

Question 9

The retail price of All Natural Granola dropped from $7.98 to $7.29 when the package size was reduced from 700 g to 600 g. What was the percent change in the unit price?

Accepted Answer

The answer of The retail price of All Natural Granola...

Question 10

Sales have increased by 10% over last year. What percentage less was last year's sales than this year's sales?

Accepted Answer

The answer of Sales have increased by 10% over last...

Question 11

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

A)  $115,200 
B)  $632,800 
C)  $980,750 
D)  $1,125,000 
E)  $1,625,000

Question 12

Mr. Parker structured his will so that each of his four children will receive half as much from the proceeds of his estate as his wife, and each of 13 grandchildren will receive one-third as much as each child. After his death, $759,000 remains after expenses and taxes for distribution among his heirs. How much will each child and grandchild receive?

Accepted Answer

The answer of Mr. Parker structured his will so that...

Question 13

Simplify and collect like terms:
$\frac{8 x}{0.5}+\frac{5.5 x}{11}+0.5(4.6 x-17)$

Accepted Answer

The answer of Simplify and collect like terms:
\(\frac{8 x}{0.5}+\frac{5.5 x}{11}+0.5(4.6...

Question 14

The Markham Real Estate Board reports that the average selling price of homes last month in the Markham area was $338,500, an increase of 8.7% over the past year. Rounded to the nearest $100, what was the average selling price one year ago?

Accepted Answer

The answer of The Markham Real Estate Board reports that...

Question 15

Simplify the following: y8 / y5

Accepted Answer

A)  y13 
B)  y3 
C)  y-40 
D)  y40 
E)  y-13

Question 16

Evaluate to six-figure accuracy: (1.0075)²⁴

Accepted Answer

The answer of Evaluate to six-figure accuracy: (1.0075)²⁴...

Question 17

How much is 600 increased by 44%?

Accepted Answer

A)  840 
B)  644 
C)  864 
D)  1,367 
E)  788

Question 18

Calculate the final result to two decimal places, where f = $8.25 $\frac{f}{(1+.067)^{3}}-4 f(1-.067)^{4}$

Accepted Answer

A)  -15.22 
B)  - 18.22 
C)  12.22 
D)  15.22 
E)  18.22

Question 19

David's portfolio consists of bonds and equity. The bond market rose by 2.5%, while the equity market dropped by 10.5%. David's portfolio increased by 1.25%. What portion of bonds and equity did he have in his portfolio?

Accepted Answer

The answer of David's portfolio consists of bonds and equity....

Question 20

If the euro is worth 57% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?

Accepted Answer

A)  43% 
B)  63.7% 
C)  36.3% 
D)  42% 
E)  45%

Exam 2: Review and Applications of Algebra

If the denominator of a fraction decreases by 20% and the numerator remains unchanged, by what percentage does the value of the fraction change?

How much is $102 after a decrease of 100%?

Solve for x: $-\left(\frac{1}{2} x-5\right) =2 x-10$

Evaluate and calculate to the cent: P(1 + rt) for P = $770, r = 0.013, $t=\frac{223}{365}$

A web site had 2/7 more hits last month than in the same month of the preceding year. If there were 2655 hits last month, how many were there 1 year earlier?

Evaluate and calculate to the cent: $\frac{I}{r t}$ for r = 0.095, I = $23.21, $t=\frac{283}{365}$

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

Calculate the final result to two decimal places, where z = .1515 $\frac{z}{4}+z^{4}+\frac{7}{9}-.25 z^{2}+\frac{2}{3}$

The retail price of All Natural Granola dropped from $7.98 to $7.29 when the package size was reduced from 700 g to 600 g. What was the percent change in the unit price?

Sales have increased by 10% over last year. What percentage less was last year's sales than this year's sales?

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

Simplify and collect like terms: $\frac{8 x}{0.5}+\frac{5.5 x}{11}+0.5(4.6 x-17)$

The Markham Real Estate Board reports that the average selling price of homes last month in the Markham area was $338,500, an increase of 8.7% over the past year. Rounded to the nearest $100, what was the average selling price one year ago?

Simplify the following: y⁸ / y⁵

Evaluate to six-figure accuracy: (1.0075)²⁴

How much is 600 increased by 44%?

Calculate the final result to two decimal places, where f = $8.25 $\frac{f}{(1+.067) ^{3}}-4 f(1-.067) ^{4}$

David's portfolio consists of bonds and equity. The bond market rose by 2.5%, while the equity market dropped by 10.5%. David's portfolio increased by 1.25%. What portion of bonds and equity did he have in his portfolio?

If the euro is worth 57% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?

Exam 2: Review and Applications of Algebra

If the denominator of a fraction decreases by 20% and the numerator remains unchanged, by what percentage does the value of the fraction change?

How much is $102 after a decrease of 100%?

Solve for x: −(12x−5) =2x−10-\left(\frac{1}{2} x-5\right) =2 x-10−(21​x−5) =2x−10

Evaluate and calculate to the cent: P(1 + rt) for P = $770, r = 0.013, t=223365t=\frac{223}{365}t=365223​

A web site had 2/7 more hits last month than in the same month of the preceding year. If there were 2655 hits last month, how many were there 1 year earlier?

Evaluate and calculate to the cent: Irt\frac{I}{r t}rtI​ for r = 0.095, I = $23.21, t=283365t=\frac{283}{365}t=365283​

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

Calculate the final result to two decimal places, where z = .1515 z4+z4+79−.25z2+23\frac{z}{4}+z^{4}+\frac{7}{9}-.25 z^{2}+\frac{2}{3}4z​+z4+97​−.25z2+32​

The retail price of All Natural Granola dropped from $7.98 to $7.29 when the package size was reduced from 700 g to 600 g. What was the percent change in the unit price?

Sales have increased by 10% over last year. What percentage less was last year's sales than this year's sales?

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

Simplify and collect like terms: 8x0.5+5.5x11+0.5(4.6x−17)\frac{8 x}{0.5}+\frac{5.5 x}{11}+0.5(4.6 x-17)0.58x​+115.5x​+0.5(4.6x−17)

The Markham Real Estate Board reports that the average selling price of homes last month in the Markham area was $338,500, an increase of 8.7% over the past year. Rounded to the nearest $100, what was the average selling price one year ago?

Simplify the following: y8 / y5

Evaluate to six-figure accuracy: (1.0075)24

How much is 600 increased by 44%?

Calculate the final result to two decimal places, where f = $8.25 f(1+.067) 3−4f(1−.067) 4\frac{f}{(1+.067) ^{3}}-4 f(1-.067) ^{4}(1+.067) 3f​−4f(1−.067) 4

David's portfolio consists of bonds and equity. The bond market rose by 2.5%, while the equity market dropped by 10.5%. David's portfolio increased by 1.25%. What portion of bonds and equity did he have in his portfolio?

If the euro is worth 57% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?

Solve for x: $-\left(\frac{1}{2} x-5\right) =2 x-10$

Evaluate and calculate to the cent: P(1 + rt) for P = $770, r = 0.013, $t=\frac{223}{365}$

Evaluate and calculate to the cent: $\frac{I}{r t}$ for r = 0.095, I = $23.21, $t=\frac{283}{365}$

Calculate the final result to two decimal places, where z = .1515 $\frac{z}{4}+z^{4}+\frac{7}{9}-.25 z^{2}+\frac{2}{3}$

Simplify and collect like terms: $\frac{8 x}{0.5}+\frac{5.5 x}{11}+0.5(4.6 x-17)$

Simplify the following: y⁸ / y⁵

Evaluate to six-figure accuracy: (1.0075)²⁴

Calculate the final result to two decimal places, where f = $8.25 $\frac{f}{(1+.067) ^{3}}-4 f(1-.067) ^{4}$