Solving Real-Life Literal Equations: Coefficients & Constants

A recipe calls for 2x cups of flour and 3 cups of sugar. If you want to make 4 batches, how many cups of flour do you need? Identify the coefficient of x.

• 8

• 6

• 4

• 10

Tags

CCSS.HSA-SSE.A.1A

The formula for the area A of a rectangle is A = l * w, where l is the length and w is the width. If the area is 48 square units and the width is 4 units, what is the length?

• 10

• 12

• 8

• 16

Tags

CCSS.6.EE.B.7

In a car rental company, the total cost C for renting a car is given by C = 50d + 20, where d is the number of days rented. If the total cost is $220, how many days was the car rented? Identify the constant in the equation.

• 4

• 6

• 3

• 5

Tags

CCSS.7.EE.B.4A

The formula for the perimeter P of a rectangle is P = 2l + 2w. If the perimeter is 30 units and the width w is 5 units, what is the length l?

• 12

• 6

• 10

• 8

Tags

CCSS.7.EE.B.4A

A gym charges a monthly fee of m dollars plus a one-time registration fee of 50 dollars. If a member pays a total of 150 dollars for the first month, what is the monthly fee? Identify the constant and the coefficient in the equation.

• 75

• 150

• 200

• 100

Tags

CCSS.7.EE.B.4A

The formula for the volume V of a cylinder is V = πr²h, where r is the radius and h is the height. If the volume is 100π cubic units and the height is 5 units, what is the radius?

• 2√5

• 4

• 2π

• 3√5

Tags

CCSS.8.EE.A.2

A phone plan costs a base fee of 30 dollars plus 10 cents per minute used. If a customer pays 50 dollars, how many minutes did they use? Identify the coefficient of the variable in the equation.

• 200 minutes

• 100 minutes

• 150 minutes

• 250 minutes

Tags

CCSS.6.EE.B.7

The distance d traveled by a car is given by d = rt, where r is the rate and t is the time. If a car travels 120 miles at a rate of 60 miles per hour, how long did it travel?

• 1 hour

• 2 hours

• 3 hours

• 4 hours

Tags

CCSS.6.EE.B.7

The formula for the total cost T of a party is T = 15p + 100, where p is the number of people. If the total cost is $250, how many people are invited? Identify the constant in the equation.

• 5

• 15

• 20

• 10

Tags

CCSS.7.EE.B.4A

A school is planning a field trip and the total cost C is given by C = 20s + 200, where s is the number of students. If the total cost is $400, how many students are going? What is the coefficient of s?

• 5

• 10, 20

• 15

• 25

Tags

CCSS.HSF.LE.B.5