Word Problems for equations

Word Problems for equations and inequalities

Lesson 7.2

Open Ended

What is the value of the Black car?

Breanna has $20 in the bank and gets $5 a chore. How many chores will Breanna have to do to at least have $100 in the bank?

• Breanna started with $20 then added money every chore

• We want a variable so lets let c = chores

• so 20 + 5c

• we want that to be at least $100, so 20 + 5c > 100.

Open Ended

Breanna has $20 in the bank and gets $5 a chore. How many chores will Breanna have to do to at least have $100 in the bank?
On sratch paper solve:

 $20\ +\ 5c>100$  

Billy has a gift card with a $150 balance. He buys several video games that cost $35 each. After the purchase he wants a balance of $45 or more. Write an equation for the inequality.

• What do we notice?

• How much does he start off with?

• $150 and goes down $35 each game

• So, 150 - 35v

Billy has a gift card with a $150 balance. He buys several video games that cost $35 each. After the purchase he wants a balance of $45 or more. Write an equation for the inequality.

• Also we want to have more than or greater than or equal to $45 still on the card

• so, $150 - $35v  $\ge$    $45

• Left side is the money left on the card after buying video games

• Right side the amount we want left on the card

Multiple Choice

On scratch paper solve:  $150\ -\ 35v\ \ge\ 45$  

•  $v\ge5.5$  

•  $v\ge3$  

•  $v\le5.5$  

•  $v\le3$  

Multiple Choice

Nick has $7.00. Donuts cost $0.75 each, and a chocolate milk costs $1.29. Write an inequality to find the number of donuts that Nick can buy. Let d = donuts.

• $7.00>0.75d\ +1.29$

• $7.00\ge0.75d\ +1.29$

• $7.00\ge0.75d-1.29$

• $7.00\le0.75d-1.29$

Nick has $7.00. Donuts cost $0.75 each, and a chocolate milk costs $1.29. Write an inequality to find the number of donuts that Nick can buy. Let d = donuts.

• Nick has $7.00 so he cannot spend more than that but he can spend exactly that if he was so we use the

   $\ge$  

• First part is $7.00 $\ge$  

• Then we know it is 0.75 each donut so 0.75d, 75 cents times the amount of donuts gives us the cost then add 1.29 for the Chocolate milk, so  $7.00\ge0.75d+1.29$  

Open Ended

Nick has $7.00. Donuts cost $0.75 each, and a chocolate milk costs $1.29.  Let d = donuts.

 $solve:\ \ 7.00\ge0.75d+1.29$  

Poll

How do you feel about solving equations and inequalities?

• I am so confused so Mr. Dixon beard is safe

• I am okay

• I need more practice

• Mr. Dixon needs to start shaving since I am so confident