Ch3L7L8 Linear Equation-System of Equation

Question 1

Two or more equations with the same set of variables are called a System of Equations. For example:

y =4x

and

y = 2x+2

together are a system of equations.

Answer 1

When you draw lines for every equation in the same System of Equations on the same coordinate plane, the ordered pair for the point of intersection is the solution of the system because this Ordered Pair satisfies both equations.

Question 2

George’s motorsports store has motorcycle(two wheels) and ATVs(four wheels) in stock. The store has a total of 45 vehicles, that together have 130 wheels. Write a System of Equations to represent this.

Question 3

Creative Crafts gives scrapbooking lessons for $15 per hour plus a $10 supply charge. Scrapbooks Incorporated gives lessons for $20 per hour with no additional charges. Write a System of Equation to represent this, then find out how many lessons each class will earn for the same amount of lessons?

Question 4

The sum of Amy’s age and Sam’s age is 12. And the difference of Amy’s age and Sam’s age is 3. Write a System of Equation to represent this and find out their ages.

Question 5

The pet store currently has a total of 45 cats and dogs. There are 7 more cats than dogs. Write a System of Equation to find out the number of cats and dogs.

Question 6

A total of 75 cookies and cakes were donated for a bake sale to raise money for the football team.There were fours times as many cookies donated as cakes. Write a System of Equation to find out how many cookies and cakes were donated.

Question 7

Mr. Thomas cooked 45 hamburgers and hot dogs at a cookout. He cooked twice as many hot dogs as hamburgers. Write a System of Equation to find out how many hamburgers and hot dogs were donated.

Question 8

Seven people went to the movies. The number of adults was one more than the number of the children. Write a System of Equation to find out how many adults and how many children went there.

Question 9

Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants.How many of each did she buy?

Question 10

Together, Preston and Horatio have 49 video games. Horatio has 11 more games than Preston. How many games does each person have?

Question 11

The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of milk is $7.5. How much does 1 muffins and 1 quart of milk cost?

Question 12

The length of the rectangle is 3 meters more than the width. The perimeter is 26 meters. What is the dimensions of the rectangle?

Question 13

Solve System of Equations

y=x-3

y=2x

Question 14

y=x+4

y=2

Question 15

y=x-6

y=3x

Question 16

y=3x+8

8x+4y=12

Question 17

y=21+1

3x+4y=26

Question 18

2x+5y=44

y=6x-4

Question 19

x+3y=1

y=2x+5

Question 20

Solve System of Equations

y=x+15

y=2x

Question 21

y=4x+45

x=4y

Question 22

Solve System of Equations

x+y = -3

y=x+3