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Chapter 2: Q9. (page 110)

Solve each equation. Check your solution. (Lesson 2-3)

2x+5=13

Short Answer

Expert verified

The solutions of the equation is x=4.

Step by step solution

01

Step 1. Given equation.

2x+5=13

02

Step 2. Description of step.

First solve the equation as:

2x+5=132x+5鈭�5=13鈭�52x=8x=82x=4

Thus, x=4.

03

Step 3. Check solution.

Now, in order to check the solution, substitute the value of x as 4 in the given equation and see if makes the equation true, i.e. whether left hand side is equals to right hand side.

Substituting x=4in original equation:

2x+5=1324+5=138+5=1313=13鈬�true

Thus x=4is satisfies the given equation.

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Most popular questions from this chapter

John鈥檚 mother has agreed to take him driving every day for two weeks. On the first day, John drives for 20 minutes. Each day after that John derives 5 more minutes more than the day before

  1. Write an expression for the nth term. Explain how you found the expression.
  2. For how many minutes will Jhon drive on the last day?
  3. John鈥檚 driver鈥檚 education teacher requires that each student drive for 30 hours with an adult outside of class. Will John鈥檚 sessions with his mother fulfill this requirement?

Write an equation and solve each problem. (Lesson2.3)

Find four consecutive integers with a sum of 106.

Record your answers on a sheet of paper. Show your work.

The city zoo offers a yearly membership that costs \(120. A yearly membership includes free parking. Members can also purchase a ride pass for an additional \)2 per day that allows them unlimited access to the rides in the park. Nonmembers pay \(12 for admission to the park, \)5 for parking, and $5 for a ride pass.

a. Write an equation that could be solved for the number of visits it would take for the total cost to be the same for a member and a nonmember if they both purchase a ride pass each day. Solve the equation.

b. What would the total cost be for members and nonmembers after this number of visits?

c. Georgena is deciding whether or not to purchase a yearly membership. Explain how she could use the results above to help make her decision.

Michael is mixing two types of candy for a party. The chocolate pieces cost\(0.40per ounce, and the hard candy costs \)0.20per ounce. Michael purchases 20ounces of the chocolate pieces, and the total cost of his candy was $11. How many ounces of hard candy did he purchase?

The one-time fee for emergency house call of an electrician is \(30 and the rate of electrician per hour is \)55. Which equation best represents the relationship between the number of hours an electrician works h and the total charges c.

A. c=30+55

B. c=30h+55

C. c=30+55h

D. c=30h+55h
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