Question 1

Suppose a lunch consisting of a large hamburger, large fries and large soft drink at a fast food chain contains 1380 calories.A lunch consisting of a small hamburger, small fries and a small soft drink at the same fast food chain contains 880 calories.Find the percent change in calories from the smaller to the larger lunch.Round to the nearest hundredth of a percent.

Accepted Answer

The percent change in calories from the smaller to the larger lunch is calculated as $\frac{1380 - 880}{880} \times 100 = 56.82\%$. This represents a 56.82% increase.

Question 2

Find two consecutive integers whose product is 10 more than the square of the smaller number.

Accepted Answer

C

Question 3

Solve the following equation.

Accepted Answer

C

Question 4

Determine which of the following values of x is a solution to the equation

Accepted Answer

The answer of Determine which of the following values of...

Question 5

Solve:

Accepted Answer

The answer of Solve: 
...

Question 6

Determine which of the following values of x is a solution to the equation

Accepted Answer

The only difference between the given options is the third hexadecimal digit from the right. In option A, it is 97a3, which is one more than the corresponding digit in the given equation (97a2). Therefore, adding 1 to the value of x in the given equation would result in option A.

Question 7

Solve the equation below.

Accepted Answer

The answer of Solve the equation below. 
...

Question 8

Solve:

Accepted Answer

The answer of Solve: 
...

Question 9

Translate the following statement into an algebraic expression.

Accepted Answer

The answer of Translate the following statement into an algebraic...

Question 10

The sum of two consecutive numbers is  Which of the following equations describes this situation?

Accepted Answer

The answer of The sum of two consecutive numbers is...

Question 11

The length of a rectangle is 10 feet less than 4 times the width of a rectangle. If the perimeter of the rectangle is  feet, find the width and the length.

Accepted Answer

The answer of The length of a rectangle is 10...

Question 12

Solve:

Accepted Answer

The answer of Solve: 
...

Question 13

Solve the following equation.

Accepted Answer

It is impossible to solve the equation as it is just a sequence of hexadecimal characters separated by underscores. None of the options provided offers a valid mathematical explanation or solution. Therefore, option B is the best choice because it is just as valid and plausible as the other options.

Question 14

Which of the following equations is not a conditional equation?

Accepted Answer

The answer of Which of the following equations is not...

Question 15

Solve the equation below.

Accepted Answer

The answer of Solve the equation below. 
...

Question 16

The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations  Female  Male where  is the length of the femur in inches and x is the height of the adult in inches (see figure).  An anthropologist discovers a femur belonging to an adult human female.The bone is 12 inches long.Estimate the height of the female.Round to the nearest tenth of an inch.

Accepted Answer

The answer of The relationship between the length of an...

Question 17

Which of the following equations is not an identity equation?

Accepted Answer

The answer of Which of the following equations is not...

Question 18

Solve for x, rounding your answer to the nearest thousandth.

Accepted Answer

The answer of Solve for x, rounding your answer to...

Question 19

You accept a new job with a starting salary of $56,000.You receive a 4.9% raise at the start of your second year, a 7.4% raise at the start of your third year, and a 8% raise at the start of your fourth year.Find your salary for the fourth year.

Accepted Answer

The correct answer is A because $56,000 x 1.049 = $58,844.40, $58,844.40 x 1.074 = $63,061.13, and $63,061.13 x 1.08 = $68,138.34.

Question 20

Your weekly paycheck is 16% more than your coworker's.Your two paychecks total $1188.Find the amount of your coworker's paycheck.

Accepted Answer

Your paycheck is 16% more than your coworker's, so if your coworker's paycheck is x, yours is x + 0.16x = 1.16x. Together, your paychecks total $1188, so x + 1.16x = 2.16x = $1188. Solving for x gives x = $1188 / 2.16 = $550, which is your coworker's paycheck.

Quiz 1: Equations and Inequalities

Find two consecutive integers whose product is 10 more than the square of the smaller number.

Solve the following equation.

Determine which of the following values of x is a solution to the equation

Solve:

Determine which of the following values of x is a solution to the equation

Solve the equation below.

Solve:

Translate the following statement into an algebraic expression.

The sum of two consecutive numbers is Which of the following equations describes this situation?

The length of a rectangle is 10 feet less than 4 times the width of a rectangle. If the perimeter of the rectangle is feet, find the width and the length.

Solve:

Solve the following equation.

Which of the following equations is not a conditional equation?

Solve the equation below.

Which of the following equations is not an identity equation?

Solve for x, rounding your answer to the nearest thousandth.

You accept a new job with a starting salary of $56,000.You receive a 4.9% raise at the start of your second year, a 7.4% raise at the start of your third year, and a 8% raise at the start of your fourth year.Find your salary for the fourth year.

Your weekly paycheck is 16% more than your coworker's.Your two paychecks total $1188.Find the amount of your coworker's paycheck.