1.03 Creating One-Variable Equations

Jacob has  $72$  pieces of candy leftover from Halloween. He would like to distribute them evenly to the  $9$  kids on her block. Write an equation to show how many pieces of candy each kid will recieve. 

•  $6+x=72$  

•  $x=72-6$  

•  $x=\frac{72}{6}$  

•  $x=\frac{6}{72}$  

Kim can download new songs for $ $\text{1.25}$  each. Write an equation that show how many songs she can download for $ $10.00$ .

•  $10x=1.25$  

•  $10+x=1.25$  

•  $1.25+x=10$  

•  $1.25x=10$  

Shane biked $\text{1}$  mile less than three times the number miles of Lissette biked. Shane biked a total of  $7$   miles.  Write an equation to determine how many miles Lissete biked. 

•  $7=3x-1$  

•  $x-1=3\left(7\right)$  

•  $\frac{x}{7}=3\left(1\right)$  

•  $7+3x=1$  

Penny and Stacey both commute to work. Penny's commute on the train take  $15$   minutes more than $\frac{2}{3}$  as Stacey's commute by car.  It take Penny  $45$   minutes to get to work. Write an equation to determine how many minutes it takes Stacey to get to work. 

•  $45=\frac{2}{3}x+15$  

•  $45=\frac{1}{2}x-15$  

•  $45=2x-15$  

•  $45=2x+15$  

Timothy and his dad are planning to attend the state fair. An adult ticket is  $ $12.00$ .  The price of and adult ticket is  $\frac{1}{3}$  the price of a student ticket plus  $ $6.00$ . Write an equation to determine how much Timothy will pay for a student ticket. 

•  $\frac{1}{3}x+12=6$  

•  $\frac{1}{3}x+6=12$  

•  $\frac{1}{3}x-12=6$  

•  $\frac{1}{3}x-6=12$  

The temperature in San Diego, California is $5\degree$ warmer than twice the temperature in Boise, Idaho.  The temperature in San Diego is $61\degree$ . Write an equation to determine the temperature in Boise. 

•  $2x-5=61$  

•  $2x-61=5$  

•  $2x+61=5$  

•  $2x+5=61$  

Peter's age is  $7$ years less than twice Jacob's age.  If Peter is $13$ , how old is Jacob? Choose the answer below that represents the solution that represents Jacob's age. 

•  $5$  

•  $10$  

•  $1$  

•  $2$  

Mike has consumed  $1,500$ calories so far today.  He has also burned off $400\$ calories at the gym. He would like to keep the daily calorie total total to  $1,900$  calories per day. How many calories does he have left to consume for the day?  Is  $1,100$  a viable solution to this problem?  

• Yes;  $100$  is less than  $1,500$  

• No;  $1,100$  is more than  $400$  he burned off at the gym

• No;  $1,100$  will cause him to exceed  $1,900$  

• Yes;  $1,100$  is less than  $1,900$  

Lucky's Jet Ski charges $ $50$ for jet ski rental and $ $15$  to jet ski. North Beach Jet Ski  charges $ $75$  for jet ski rentals and $ $10$ an hour to jet ski. Create an equation to determine at what point the cost of both jet ski prices is the same.  

•  $15x-75=10x-50$  
  

•  $15x-50=10x-75$  
  

•  $15x\ +50=10x+75$  

•  $15x+75=10x+50$