NAME ______DATE______PERIOD ______

6th Grade GT- Lesson 6.2 Homework

Write Two-Step Equations

Represent each statement as an equation.

1. Three more than eight times a number is equal to 19.

2. Twelve less than seven times a number is 16.

3. Four more than twice a number is –10.

4. Nine less than five times a number is equal to –30.

Define a variable. Then write and solve an equation to represent and solve each problem.

5. Ishi bought a canvas and 8 tubes of paint for $24.95. If the canvas cost $6.95, howmuch did each tube of paint cost?

6. The world’s two highest dams are both in Tajikistan. The Rogun dam is35 meters taller than the Nurek dam. Together they are 635 meters tall. Determine theheight of the Nurek dam.

7. Use the information at the right.

a. If you double President Reagan’s age at the timeof his first inauguration and subtract his age atthe time he died, the result is 45 years. How oldwas President Reagan when he died?

b. If you divide the age of the first President Bushwhen he was inaugurated by 2 and add 14 years,you get the age of President Clinton when he wasfirst inaugurated. How old was PresidentG. H. W. Bush when he was inaugurated?

8. Determine the value of x in the triangle at the right.

9. Three consecutive integers can berepresented by n, n + 1, and n + 2. If the sumof three consecutive integers is 57, what arethe integers?

Lesson 6.2 Problem-Solving Practice

Write Two-Step Equations

Define a variable. Then write and solve an equation to solve each problem.

1. CONSTRUCTIONCarlos is building ascreen door. The height of the dooris 1 foot more than twice its width.What is the width of the door if itis 7 feet high? / 2. GEOMETRYA rectangle has a width of6 inches and a perimeter of 26 inches.What is the length of the rectangle?
3. EXERCISEElla swims four times aweek at her club’s pool. She swimsthe same number of laps on Monday,Wednesday, and Friday, and 15 lapson Saturday. She swims a total of 51laps each week. How many laps doesshe swim on Monday? / 4. SHOPPINGWhile at the music store,Drew bought 5 CDs, all at the sameprice. The tax on his purchase was $6,and the total was $61. What was theprice of each CD?
5. STUDYINGOver the weekend, Kokospent 2 hours on an assignment, andshe spent equal amounts of timestudying for 4 exams for a total of16 hours. How much time did shespend studying for each exam? / 6. FOODAt the market, Meyer buys abunch of bananas for $0.65 per poundand a frozen pizza for $4.99. The totalfor his purchase was $6.94, withouttax. How many pounds of bananas didMeyer buy?
7. HOME IMPROVEMENTLaura is makinga patio in her backyard using pavingstones. She buys 44 paving stones anda flowerpot worth $7 for a total of$73. How much did each paving stonecost? / 8. TAXIA taxi service charges you $1.50plus $0.60 per minute for a trip to theairport. The distance to the airport is10 miles, and the total charge is$13.50. How many minutes did theride to the airport take?

Course 3 • Chapter 6 Equations and Inequalities