Linear Equations and Word Problems

Lesson 9 of module 4 focuses on applying linear equations through various exercises. The lesson skips exercises 1 and 2, and covers problems involving arcade costs, consecutive numbers, book pages, number problems, rectangle dimensions, ticket sales, skateboarding minutes, and similar triangles. Each exercise involves setting up and solving equations, emphasizing the importance of defining variables and using algebraic methods.

What is the main focus of lesson nine in module 4?

• Introduction to geometry

• Introduction to quadratic equations

• Practice with linear equations

• Review of previous modules

In exercise 3, how much did Marvin pay per game at the arcade?

• $5.00

• $1.25

• $3.75

• $2.50

What is the sum of four consecutive numbers that equals -26?

• -10, -9, -8, -7

• -5, -4, -3, -2

• -8, -7, -6, -5

• -1, 0, 1, 2

If a book has X pages and Mar read 45 pages on Monday, half the book on Tuesday, and 72 pages on Wednesday, how many pages does the book have?

• 300 pages

• 150 pages

• 200 pages

• 234 pages

What is the number that, when increased by 5 and divided by 2, equals 75?

• 145

• 150

• 155

• 160

In exercise 7, what is the number if the sum of 13 and twice the number is 7 less than six times the number?

• 20

• 10

• 5

• 15

What is the area of a rectangle if its width is seven less than twice the length and the perimeter is 43.6 inches?

• 200 square inches

• 100 square inches

• 117.12 square inches

• 150 square inches

How many tickets were sold each day if 250 tickets were available, 35 were sold on Monday, and the rest were sold equally over the next 5 days?

• 60 tickets

• 30 tickets

• 50 tickets

• 43 tickets

If Shauna skateboarded for some minutes on Monday, twice that on Tuesday, and half the sum of Monday and Tuesday on Wednesday, totaling 3 hours, how many minutes did she skateboard on Monday?

• 80 minutes

• 100 minutes

• 60 minutes

• 40 minutes

In exercise 11, what is the length of AC if the triangles are similar and AC is expressed as 10.3 - x?

• 10.0 mm

• 8.5 mm

• 7.2 mm

• 9.0 mm