M7 Midterm Review

What is the unit rate if there are 84 miles driven using 6 gallons of gas?

• 12 miles per gallon

• 14 miles per gallon

• 16 miles per gallon

• 18 miles per gallon

Answer explanation

The unit rate is calculated by dividing the total distance by the total gallons used. In this case, 56 miles divided by 4 gallons gives us 14 miles per gallon. Hence, the correct answer to the question is 14 miles per gallon.

Which size package of cookies shown in the table has the lowest unit price?

• 6 oz

• 9 oz

• 13 oz

• 17 oz

Answer explanation

The question asked which size package of cookies has the lowest unit price. The options provided were 6 oz, 9 oz, 13 oz, and 17 oz. Based on the answer provided, the 9 oz package of cookies has the lowest unit price.

What is the constant of proportionality of the linear function?

• 3

• 6

• 1/3

• 1/6

• x=40

• x=10

• x=20

• x=5

Answer explanation

The question is asking to solve the equation \frac{50}{30}=\frac{25}{x}. To do this, we cross-multiply to get 50x = 750. Solving for x, we divide both sides by 50, and find that x equals 15.

What is the constant rate of change of the graph?

• 1/3

• 3

• 6

• 1/6

Calculate the following. Round to the nearest tenth if necessary.

22% of 45

• 9.9

• 990

• 99

• 10

Answer explanation

The question asks to find 16% of 78. It is calculated by multiplying the percentage (converted to decimal, i.e., 0.16) by the number (78). The result can be approximated to the nearest tenth, thus the correct answer is 12.5.

Calculate the following percentage. Round to the nearest tenth if necessary.

What is 60% of 80

• 48

• 50

• 52

• 54

Answer explanation

The question asks for 45% of 65. To find the percentage of a number, you multiply the number by the percentage (in decimal form). So, 65 times 0.45 equals 29.25. Rounding to the nearest tenth gives 29.3, which is the correct answer.

Find each number. Round to the nearest tenth if necessary.

18 is 30% of what number?

• 60

• 54

• 6

• 90

Answer explanation

The question asks for the number which when reduced by 50% equals to 14. To find this, we divide 14 by 0.5 (which is the decimal equivalent of 50%). This gives us 28. So, 14 is 50% of 28.

Determine the percent of change. Round to the nearest whole percent if necessary. Indicate whether the percent of change is an increase or a decrease.

Original: 80

New: 50

• 37% decrease

• 37% increase

• 60% increase

• 60% decrease

Answer explanation

The question asks us to find the percent of change from 55 to 30. We do this by subtracting the new value from the original, then dividing by the original, and multiplying by 100. This gives us a percentage change of 45%. Since the new value is less than the original, this represents a 45% decrease.

Determine the TOTAL COST (not just the tax) to the nearest cent.

$800 Laptop, 7% tax

• $816

• $680

• $56

• $856

Answer explanation

The question asks for the total cost including the 8% tax on a $700 computer. To calculate this, multiply $700 by 8% to get the tax amount, which is $56. Add this to the original cost of the computer, $700 + $56 = $756. So, the correct answer is $756.