*17 – 5c multi step real world problems

*At their going-out-of-business sale, Bill's Bikes sold 35 bikes and had 56 left. Which equation could be used to find x, the number of bikes the store had originally?

Since this equation is not an answer choice, try rewriting the equation.

*Last month, Marcus borrowed $102 from his roommate. So far, he has paid him back $34. Which equation could be used to find x, the amount of money he still owes his roommate?

Since this equation is not an answer choice, try rewriting the equation.

Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 10 pieces.

What is the length of the dowel initially?

*Michelle made a bead necklace that was 16 inches long. The length of the necklace, in inches, is equal to 6 added to one-fifth the number of beads, b.

Do Undo .

X 1/5

+6

-6

Div 1/5Or mult. by 5/1 or mult. by 5

*Gavin is building a fence. He needs to put a post every 4 ½ feet. If a new segment of the fence has 14 new posts, using the last post from the previous section of fence as a starting point, how long is the new segment of fence?

*A painter charges $15.86 per hour, plus an additional amount for the supplies. If he made $143.51 on a job where he worked 4 hours, how much did the supplies cost? The situation can be modeled by a linear

equation of the form px + q = r where p is the hourly charge, x is the number of hours

worked, q is the cost of the supplies,

and r is the total earnings.

*Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and multiplied the sum by 4, it would equal 12. Which equation could Stephanie use to find the number, x? The situation can be modeled by a linear

equation of the form p(x + q) = r,

where p is what the sum is multiplied by,

x is the number Amy picked, q is what was added to the number, and r is the ending value.

*Marty's class collected $44.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class.

Use Distributive Property – 2 times x and 2 times 8

2x + 16 = 44Solve the 2 step equation

Do Undo .

X 2

+16

-16

Div 2

-1616 -

2x = 28

*Marty's class collected $44.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class.

Divide both sides by 2

X = 14Do Undo .

X 2

+16

-16

Div 2

/2/22x = 28