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Chapter 3: Q3. (page 139)

Write the verbal sentence as an equation. Also, solve the equation

鈥淭hree more than 4 times a number is equal to 9 less than twice the number.鈥�

Short Answer

Expert verified

The equation is 3+4x=2x-9 and the solution of inequality isx=-6.

Step by step solution

01

Step 1. Apply the concept of linear equations

In this, simply use the concept of understanding the problem and their words very carefully and also take a suitable variable to make equation and also do various mathematical operation to get the solution.

02

Step 2. Find the inequality by explaining the statement

Here, the statement Three more than 4 times a number is equal to 9 less than twice the number

From the above, Let the number be x.

Then, according to statement of question, the inequality is 3+4x=2x-9.

03

Step 3. Finding the solution of equation for x

Now, the inequality is 3+4x=2x-9.

Simply Take the variable and constant in separate side & do addition then division

3+4x=2x鈭�94x鈭�2x=鈭�9鈭�32x=鈭�12x=鈭�122x=鈭�6

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Most popular questions from this chapter

Duathlons A duathlon is an event that consists of running and biking. While training for a duathlon, you run and bike a total of 23 kilometers in 1.25 hours. You run at an average speed of 10 kilometers in 1.25 hours. You run at an average speed of 10 kilometers per hour and bike at an average speed of 24 kilometers per hour. Write and solve an equation to find the time you spend running and the time you spend biking.

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.

Describe the steps you would use to solve the following equation.

9+2s=15

Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car鈥檚 trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

  1. Write an expression for the distance (in miles) they will be from Houston in x hours.
  2. Write an expression for the distance (in miles) they will be from home in x hours.
  3. Use the expression from parts a and b to write and solve an equation to find the number of hours they will drive until they are exactly halfway between Houston and their home.
  4. Suppose they travel by local roads instead of highway. They travel the 700 miles at a speed of 45 miles per hour. How long will they drive before they are exactly halfway between Houston and their home?

Solve the equation. Check your solution.-12=-2h+0.2(20-6h)
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