1. Solve the following multiplication two-step equations:

2. Solve the following division two-step equations:

3. What about these two equations? You can wait for Ms. Dyson to explain for these (or you can try them):

Name:________________________________________________________________________________Date:_____/_____/__________ BRAIN BLITZ/Warm-UP

3x + 24 = -6 45 = 8x – (-5) -4x – 14 = -2

+ 3 = 10 25 = -15 + + 7 = 9

= 8 = 5

Today’s Lesson:

What: equation word problems

Why: To use an EQUATION in order to solve for the unknown in several real-life situations.

HOW??? Step 1: _________________ key information! Step 2: Identify the MAIN question– this will be “x”– the main ______________!Step 3: Use the “clues” to set up the _________________!

Highlightunknown

Follow these steps . . .

equation

one-step equation word problems:

1) Last week, Eric ran 8 more miles than Nick. Eric ran a total of 33 miles. How many miles did Nick run?What is the main question (“unknown”)?Let “x” = _____________________________________________________________

# of miles Nick ran

x = 25 miles

x + 8 = 33 If Nick is x then Eric is x + 8 !

2) Kaylee collected 14 more cans than Logan. Kaylee collected 54 cans. How many cans x did Logan collect? What is the main question (“unknown”)?Let “x” = _____________________________________________________________ Logan’s # of cans

x = 40 cans

x + 14 = 54 If Logan’s cans are x, then Kaylee’s cans are x + 14 !

3) Kerry bought a pair of jeans that cost d dollars. She paid $30.00 and received $4.50 in change. How much did the jeans cost? What is the main question (“unknown”)?Let “d” = _____________________________________________________________ cost of jeans

d= $25.50

30 - d = 4.5 If the cost of the jeans is d, then 30 – d represents the change!

4) How many boxes of cereal can you buy with $27.50 if one box costs $2.50?What is the main question (“unknown”)?Let “x” = _____________________________________________________________ # of boxes

x = 11 boxes

2.5(x) = 27.5 If total # of boxes is x, then 2.5(x) represents total $ spent.

5) Mary sold 4 times as many candy bars as John (for the school fundraiser). If Mary sold 84 candy bars, how many candy bars did John sell?What is the main question (“unknown”)?Let “x” = _____________________________________________________________ # of bars John sold

x = 21 candy bars

4x = 84 If John’s candy bars are x, then Mary’s candy bars are 4x !

6) Elizabeth won some money in a contest. She decided to split the money equally among herself and her two brothers (what a kind sister). She receives $73.26, after she split the money. How much money did she originally win?What is the main question (“unknown”)?Let “x” = _____________________________________________________________ amount of $ won

x = $219.78 = 73.26

If the original $ is x, then this amount will be split between 3 people! This is !

1) Jane has $575 in her checking account. She has decided to deposit $85 per month until she has a total of $1,340. In how many months will this occur?What is the main question (“unknown”)?Let “x” = _____________________________________________________________

Two-step equation word problems:

# of months

x = 9 months

575 + 85x = 1,340 We begin with $575 in the account. If x is the # of months, then 85x represents the total added to the account!

2) You have $75 in your checking account. You are saving for an i-Pad that costs $500. You will save $25 per month until you have enough money. How many months m will this take? What is the main question (“unknown”)?Let “m” = _____________________________________________________________

# of months

m= 17 months

75 + 25m = 500We begin with $75 in the account. If m is the # of months, then 25m represents the total added to the account!

3) At the basketball game, Will scored 4 points less than two times the # of points that Hank scored. Will scored 16 points. How many points p did Hank score?What is the main question (“unknown”)?Let “p” = _____________________________________________________________ Hank’s # of points

p = 10 points

2p – 4 = 16 If Hank’s points are p, then (using the clue) Will’s points are 2p - 4 !

4) During cross-country season, Kelly ran five miles more than three times the # of miles that Michelle ran. Kelly ran 95 miles. How many miles m did Michelle run? What is the main question (“unknown”)?Let “m” = _____________________________________________________________ Michelle’s # of miles

m = 30 miles

3m + 5 = 95If Michelle’s miles are m, then Kelly’s miles are 3m + 5 !

5) George bought three video games at the same price. He also bought a DVD for $20.00. If he spent $65.00 total, how much was each video game? What is the main question (“unknown”)?Let “x” = _____________________________________________________________ cost of each video game

x = $15

3x + 20 = 65If the cost of each video game is x, then 3x is the cost for 3 video games. Don’t forget the DVD for $20!

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow represent the homework assigned

for that day.

One-Step Word Problems (write AND solve an equation for each):

Math-7 NOTES DATE: ______/_______/_______What: equation word problemsWhy: To use an EQUATION in order to solve for the unknown in several real-life situations.

NAME:

1) Last week, Eric ran 8 more miles than Nick. Eric ran a total of 33 miles. How many miles did Nick run?2) Kaylee collected 14 more cans than Logan. Kaylee collected 54 cans. How many cans x did Logan collect? 3) Kerry bought a pair of jeans that cost d dollars. She paid $30.00 and received $4.50 in change. How much did the jeans cost? 4) How many boxes of cereal can you buy with $27.50 if one box costs $2.50?5) Mary sold 4 times as many candy bars as John (for the school fundraiser). If Mary sold 84 candy bars, how many candy bars did John sell?6) Elizabeth won some money in a contest. She decided to split the money equally among herself and her two brothers (what a kind sister). She receives $73.26, after she split the money. How much money did she originally win?

HOW??? Step 1: _______________________ key information!! Step 2: Identify the MAIN question– this will be “x”– the main __________________________! Step 3: Use the “clues” to set up an ________________________________ !What is the main question (“unknown”)?

Let “x” = _______________________________

Let “x” = _______________________________

Let “d” = _______________________________

Let “x” = _______________________________

Let “x” = _______________________________

Let “x” = _______________________________

What is the main question (“unknown”)?

What is the main question (“unknown”)?

What is the main question (“unknown”)?

What is the main question (“unknown”)?

What is the main question (“unknown”)?

1) Jane has $575 in her checking account. She has decided to deposit $85 per month until she has a total of $1,340. In how many months will this occur?2) You have $75 in your checking account. You are saving for an i-Pad that costs $500. You will save $25 per month until you have enough money. How many months m will this take? 3) At the basketball game, Will scored 4 points less than two times the # of points that Hank scored. Will scored 16 points. How many points p did Hank score?

4) During cross-country season, Kelly ran five miles more than three times the # of miles that Michelle ran. Kelly ran 95 miles. How many miles m did Michelle run? 5) George bought three video games at the same price. He also bought a DVD for $20.00. If he spent $65.00 total, how much was each video game?

Two-Step Word Problems:

What is the main question (“unknown”)?

What is the main question (“unknown”)?

What is the main question (“unknown”)?

What is the main question (“unknown”)?

What is the main question (“unknown”)?

Let “x” = _______________________________

Let “m” = _______________________________

Let “p” = _______________________________

Let “m” = _______________________________

Let “x” = _______________________________

One-Step Word Problems (write AND solve an equation for each):1) Last week, Bob ran 5 more laps than Sheila. Bob ran a total of 12 laps. How many laps did Sheila run? (Hint: Use an addition equation to solve)2) Shannon bought a book for $14.99, but used a coupon to receive a discount. Her total, after the discount, was $9.99. How much did the coupon save her? (Hint: Use a subtraction equation to solve) 3) How many bags of chips can you buy with $12.00 if one bag of chips costs $0.75? (Hint: Use a multiplication equation to solve) 4) You make a batch of homemade cookies that you decided to split equally among yourself and five of your friends at lunch. If each of you receive three cookies, how many cookies did you bake to begin with? (Hint: Use a division equation to solve) Two-Step Word Problems (write AND solve an equation for each):

Math-7 homeworkNAME:__________________________________________________________________________________ DATE: _____/_____/__________

“ equation word problems”

1) You already have $225 in your checking account. You would like to save a total of $550, and have decided to save $65 per month. How many months will this take? 2) During football season, the Redskins scored a total of three more than three times the amount of points that the Cowboys scored. The Redskins scored a total of 336 points in the season. How many points did the Cowboys score? 3) Kiley bought four movie tickets at the same price. She also bought a jumbo popcorn for $8. If her total was $52, how much did she spend on each movie ticket?

You may use a calculator, but you must show all steps!!

1) Jack earns $15 a week, plus $3.00 for every time he washes the dishes without being asked. Last week, Jack earned $27. Let x represent the # of times he washed the dishes. Which equation could be used to solve for x ?A. 15 + 3 = 27xB. 15x + 3 = 27C. 15 + 3x = 27D. 15 – 3x = 27

2) Olivia’s car uses 3 times as much gas as Jane’s car uses. If Olivia’s car used 24 gallons of gas on a trip, which equation could be used to show how much gas Jane’s car used on the same trip?A. 3x = 24B. 3 + x = 24C. 24 + 3 = xD. 24 – x = 3

3) You buy four bracelets that were the same price each. You also buy a purse for $30. You spent a total of $40. Which equation could be used to solve for the amount that each bracelet costs?A. 4x – 30 = 40B. 4x + 40 = 30C. 30x + 4 = 40D. 4x + 30 = 40

4) Leslie gets paid $8 per hour to babysit. If Leslie got paid $64, which equation could be used to solve for how many hours, h, Leslie babysat? A. 8 + h = 64B. 8h = 64C. 64 – 8 = hD. 64 + h = 85) Write a situation that matches the following equation.40 + 5x = 65

Multiple Choice: