Solving Real-World Multistep Equations

Solving Real-World Multistep Equations

Edgenuity Unit 4: Lesson 6

In this lesson, we will...

• Write multistep equations for real-world scenarios.

• Solve multistep equations to answer real-world problems.

• Verify solutions to real-world linear equations.

Let's practice translating verbal phrases into mathematical expressions

Translate...

• the sum of a number and 9

• n + 9

• 4 more than 3 times a number

• 3n + 4

• 7 less than twice a number

• 2n - 7

• NOW YOU TRY SOME!!

Fill in the Blanks

Translate the following phrase...

7 more than 5 times a number

Fill in the Blanks

Translate the following phrase...

3 less than 4 times a number

Fill in the Blanks

Translate the following phrase...

20 plus 6 times a number

Poll

How are you feeling about translating verbal phrases into mathematical expressions?

How can we solve multistep equations that represent real-world scenarios?

• Determine the variable.

• Identify key words and translate the meaning.

• Write the multistep equation.

• Solve for the variable.

• Use the value of the variable to solve the problem.

In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.

Multiple Choice

In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points. What expression represent the points for Team A?

• b

• b + 80

• 2(b - 5)

• 2b - 5

Multiple Choice

In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points. What expression represent the points for Team C?

• b

• b + 80

• 2(b - 5)

• 2b - 5

Multiple Choice

In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points. Which equation represents this situation?

• 2(b - 5) + b + (b + 80) = 983

• (2b - 5) + (b + 80) + 983 = b

• (2b - 5) = (b + 80) + b

• (2b - 5) + b + (b + 80) = 983

Fill in the Blanks

In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points. How many points did Team C score?

Multiple Choice

Two companies rent moving trucks. Pack and Go charges a $39.95 flat fee, and $0.45 for every mile driven. U-Drive charges a $59.95 flat fee, and $0.35 for every mile driven. At how many miles is the cost of the truck rentals the same?

What expression represents Pack and Go?

• 39.95x + 0.45

• 39.95 + 0.45x

• 39.95x + 0.45x

Multiple Choice

Two companies rent moving trucks. Pack and Go charges a $39.95 flat fee, and $0.45 for every mile driven. U-Drive charges a $59.95 flat fee, and $0.35 for every mile driven. At how many miles is the cost of the truck rentals the same?

What expression represents U-Drive?

• 59.95 + 0.35x

• 59.95x + 0.35x

• 59.95x + 0.35

Multiple Choice

Two companies rent moving trucks. Pack and Go charges a $39.95 flat fee, and $0.45 for every mile driven. U-Drive charges a $59.95 flat fee, and $0.35 for every mile driven. At how many miles is the cost of the truck rentals the same?

Which equation represents this scenario?

• 39.95 + 0.35x = 59.95 + 0.45x

• 0.45x + 0.35x = 39.95 + 59.95

• 39.95 + 0.45x = 59.95 + 0.35x

• 39.95 + 0.35x + 0.45x = 59.95

Multiple Choice

Two companies rent moving trucks. Pack and Go charges a $39.95 flat fee, and $0.45 for every mile driven. U-Drive charges a $59.95 flat fee, and $0.35 for every mile driven. At how many miles is the cost of the truck rentals the same? 39.95 + 0.45x = 59.95 + 0.35x

At how many miles is the cost of the truck rentals the same?

• 100

• 150

• 200

• 450

Poll

How are you feeling about solving multistep equations for real-world scenarios?