AnswersGrade 7 MathematicsSolving Multi-Step Equations

Solving Multi-Step Equations — Quiz Answers

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A group of 4 friends went to lunch and spent a total of 40 dollars , which included the 34 dollars food bill and the tip. They decided to split the bill and tip evenly among themselves. One of the friends used the equation 1 fourth times open paren t plus 34 close paren is equal to 40 fourths to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip?

A
Each friend paid 10 point 0 0 dollars for the food and 6 point 0 0 dollars for the tip.
B
Each friend paid 8 point 5 0 dollars for the food and 1 point 5 0 dollars for the tip.
C
Each friend paid 8 point 5 0 dollars for the food and 6 point 0 0 dollars for the tip.
D
Each friend paid 10 point 0 0 dollars for the food and 1 point 5 0 dollars for the tip.
2
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Zachary is solving the following equation. 3 fourths times open paren x minus 8 close paren is equal to 12 Which is the best first step to begin to simplify the equation?

A
Multiply both sides of the equation by 3 fourths .
B
Distribute 4 thirds over open paren x minus 8 close paren .
C
Divide both sides of the equation by 4 thirds .
D
Distribute 3 fourths over open paren x minus 8 close paren .
5

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation 1 seventh times open paren 105 plus r close paren is equal to 20 represents the situation. Which describes the solution, r , to this equation?

A
The solution is 35 , which represents the number of miles she runs each day.
B
The solution is 35 , which represents the number of miles she runs each week.
C
The solution is 5 , which represents the number of miles she runs each week.
D
The solution is 5 , which represents the number of miles she runs each day.
10

Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?

A
1 fourth times open paren 2 plus v close paren is equal to 3 ; v is equal to 4 pounds of chopped vegetables
B
1 fourth times open paren 2 plus v close paren is equal to 3 ; v is equal to 10 pounds of chopped vegetables
C
4 times open paren 2 plus v close paren is equal to 3 ; v is equal to 5 pounds of chopped vegetables
D
4 times open paren 2 plus v close paren is equal to 3 ; v is equal to 1 pound of chopped vegetables

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