Question 1

Solve.
-The Discovery Museum is building a second parking garage. The second parking garage will have double the capacity, in parking spaces, of their original parking garage. If the sum of these integers
Is 1503, find the capacity for both parking garages.
A) 401 spaces, 902 spaces
B) 601 spaces, 902 spaces
C) 401 spaces, 1102 spaces
D) 501 spaces, 1002 spaces

Accepted Answer

The original parking garage has a capacity of x spaces, and the second garage has double that capacity, so 2x spaces. The sum of their capacities is x + 2x = 3x = 1503. Solving for x gives x = 501 spaces for the original garage and 2x = 1002 spaces for the second garage.

Question 2

Solve.
-Melissa invested an amount of money in a stock that earned an annual 3% return. She invested three times the original amount in another stock that earned an annual 5% return. If her total yearly
Return from both investments was $7200, find out how much she invested at 3%?
A) $40,000
B) $270,000
C) $30,000
D) $90,000

Accepted Answer

Let the amount invested at 3% be x. Then, the amount invested at 5% is 3x. The total return is the sum of the returns from each investment: 0.03x + 0.05(3x) = 7200. Solving this equation gives x = $40,000.

Question 3

Solve the inequality. Graph the solution set and write it in interval notation.
-$- 5 < 2 x - 3 < 0$

A) $( - 1 , \infty )$

B) $\left( - \frac { 3 } { 2 } , 1 \right)$

C) $\left( - 1 , \frac { 3 } { 2 } \right)$

D) $\left(\infty, \frac{3}{2}\right)$

Accepted Answer

The answer of Solve the inequality. Graph the solution set...

Question 4

Solve the inequality. Graph the solution set and write it in interval notation.
-$\frac { 2 ( 5 x + 1 ) } { 4 } > 2$

A) $\left(\infty, \frac{3}{5}\right)$

B) $\left(\infty, -\frac{3}{5}\right)$

C) $\left( \frac { 3 } { 5 } , \infty \right)$

D) $\left( - \frac { 3 } { 5 } , \infty \right)$

Accepted Answer

The answer of Solve the inequality. Graph the solution set...

Question 5

Solve.
-The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 358, find the house numbers. 
A) 178,180
B) 177,179
C) 179,181
D) 178,356

Accepted Answer

The sum of two consecutive even numbers that equals 358 can be found by dividing 358 by 2 to find the middle point, which is 179. The numbers are then 178 and 180.

Question 6

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to
answer the question. 
-If State University has approximately 29,000 students, about how many would you expect to consume 5-6 pizzas in a typical month? 
A) 986 students
B) 9860 students
C) 522 students
D) 5220 students

Accepted Answer

The answer of The circle graph below shows the number...

Question 7

Solve. Round to one decimal place when necessary.
-Due to a lack of funding, the number of students enrolled at City College went from 9000 last year to 2000 this year. Find the percent decrease in enrollment.
A) $77.8 \%$
B) $350 \%$
C) $22.2 \%$
D) $450 \%$

Accepted Answer

The percent decrease in enrollment is calculated by the formula: $\frac{\text{Original Number} - \text{New Number}}{\text{Original Number}} \times 100\%$. Substituting the given numbers: $\frac{9000 - 2000}{9000} \times 100\% = \frac{7000}{9000} \times 100\% = 77.8\%$.

Question 8

Solve the inequality. Graph the solution set and write it in interval notation.
-$x - 6 > 5 x + 6$

A) $( - 3 , \infty )$

B)$( 0,3 )$

C)$( x , - 3 )$

D) $( 3 , \infty )$

Accepted Answer

The answer of Solve the inequality. Graph the solution set...

Question 9

Solve. Round to one decimal place when necessary.
-The number $2.7$ is what percent of 24 ?
A) $888.9 \%$
B) $11.3 \%$
C) $0.1 \%$
D) $1.1 \%$

Accepted Answer

To find what percent 2.7 is of 24, divide 2.7 by 24 and then multiply by 100. $ \frac{2.7}{24} \times 100 = 11.25 \%$, which rounds to 11.3%.

Question 10

Solve.
-A number increased by three-fourths of the number is 14. Find the number. 
A) 8
B) 4
C) $\frac { 14 } { 3 }$
D) 2

Accepted Answer

The equation representing the problem is $x + \frac{3}{4}x = 14$. Combining like terms gives $\frac{7}{4}x = 14$. Solving for $x$ gives $x = 8$.

Question 11

Solve.
-If two planes leave an airport at the same time with one flying west at 230 miles per hour and the other flying east at 550 miles per hour, how long will it take them to be 2340 miles apart?
A) 2.5 hr
B) 4 hr
C) 2 hr
D) 3 hr

Accepted Answer

The planes are moving apart at a combined speed of 230 mph + 550 mph = 780 mph. To find the time it takes for them to be 2340 miles apart, divide the distance by their combined speed: 2340 miles / 780 mph = 3 hours.

Question 12

Solve the inequality. Graph the solution set and write it in interval notation.
-$4 x - 7 \geq 3 x - 6$

A)$[1, \infty)$

B) $( 1 , \infty )$

C)$( - \infty , 1 ]$

D) $( - 13 , \infty )$

Accepted Answer

The answer of Solve the inequality. Graph the solution set...

Quiz 2: Equations, Inequalities, and Problem Solving

Solve. -The Discovery Museum is building a second parking garage. The second parking garage will have double the capacity, in parking spaces, of their original parking garage. If the sum of these integers Is 1503, find the capacity for both parking garages.

Solve. -Melissa invested an amount of money in a stock that earned an annual 3% return. She invested three times the original amount in another stock that earned an annual 5% return. If her total yearly Return from both investments was $7200, find out how much she invested at 3%?

Solve. -The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 358, find the house numbers.

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question. -If State University has approximately 29,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Solve. Round to one decimal place when necessary. -Due to a lack of funding, the number of students enrolled at City College went from 9000 last year to 2000 this year. Find the percent decrease in enrollment.

Solve the inequality. Graph the solution set and write it in interval notation. - $x - 6 > 5 x + 6$ $Solve the inequality. Graph the solution set and write it in interval notation. - x - 6 > 5 x + 6 A) ( - 3 , \infty ) B) ( 0,3 ) C) ( x , - 3 ) D) ( 3 , \infty )$

Solve. Round to one decimal place when necessary. -The number $2.7$ is what percent of 24 ?

Solve. -A number increased by three-fourths of the number is 14. Find the number.

Solve. -If two planes leave an airport at the same time with one flying west at 230 miles per hour and the other flying east at 550 miles per hour, how long will it take them to be 2340 miles apart?

Solve the inequality. Graph the solution set and write it in interval notation. - $4 x - 7 \geq 3 x - 6$ $Solve the inequality. Graph the solution set and write it in interval notation. - 4 x - 7 \geq 3 x - 6 A) [1, \infty) B) ( 1 , \infty ) C) ( - \infty , 1 ] D) ( - 13 , \infty )$

Quiz 2: Equations, Inequalities, and Problem Solving

Solve. -The Discovery Museum is building a second parking garage. The second parking garage will have double the capacity, in parking spaces, of their original parking garage. If the sum of these integers Is 1503, find the capacity for both parking garages.

Solve. -Melissa invested an amount of money in a stock that earned an annual 3% return. She invested three times the original amount in another stock that earned an annual 5% return. If her total yearly Return from both investments was $7200, find out how much she invested at 3%?

Solve the inequality. Graph the solution set and write it in interval notation. - −5<2x−3<0- 5 < 2 x - 3 < 0−5<2x−3<0

Solve the inequality. Graph the solution set and write it in interval notation. - 2(5x+1) 4>2\frac { 2 ( 5 x + 1 ) } { 4 } > 242(5x+1) ​>2

Solve. -The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 358, find the house numbers.

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question. -If State University has approximately 29,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Solve. Round to one decimal place when necessary. -Due to a lack of funding, the number of students enrolled at City College went from 9000 last year to 2000 this year. Find the percent decrease in enrollment.

Solve the inequality. Graph the solution set and write it in interval notation. - x−6>5x+6x - 6 > 5 x + 6x−6>5x+6

Solve. Round to one decimal place when necessary. -The number 2.72.72.7 is what percent of 24 ?

Solve. -A number increased by three-fourths of the number is 14. Find the number.

Solve. -If two planes leave an airport at the same time with one flying west at 230 miles per hour and the other flying east at 550 miles per hour, how long will it take them to be 2340 miles apart?

Solve the inequality. Graph the solution set and write it in interval notation. - 4x−7≥3x−64 x - 7 \geq 3 x - 64x−7≥3x−6

Solve the inequality. Graph the solution set and write it in interval notation. - $x - 6 > 5 x + 6$ $Solve the inequality. Graph the solution set and write it in interval notation. - x - 6 > 5 x + 6 A) ( - 3 , \infty ) B) ( 0,3 ) C) ( x , - 3 ) D) ( 3 , \infty )$

Solve. Round to one decimal place when necessary. -The number $2.7$ is what percent of 24 ?

Solve the inequality. Graph the solution set and write it in interval notation. - $4 x - 7 \geq 3 x - 6$ $Solve the inequality. Graph the solution set and write it in interval notation. - 4 x - 7 \geq 3 x - 6 A) [1, \infty) B) ( 1 , \infty ) C) ( - \infty , 1 ] D) ( - 13 , \infty )$