Flex Friday: Systems of Equations

Last updated over 5 years ago

10 questions

1

What is the solution to the system?

a. (0, 3)

b. (1, -1)

c. (-3, 1)

d. (1, 3)

What is the solution?

a. 1

b. -2

c. (1, 2)

d. (1, -1)

How many solutions?

a. One Solution

b. No solution

c. Infinitely Many Solutions

d. none of the above

What is the solution?

a. One Solution

b. No solution

c. Infinitely Many Solutions

d. none of the above

The ordered pair that satisfies all equations in the system.

a. system of equations

b. function

c. graph

d. solution of a system

In the systems of equation below, I can eliminate x by adding because the coefficients are opposites.
4x + 8y = 20
−4x + 2y = −30

True

False

What variable do you eliminate, and what do you multiply the equation(s) by?
5x + y = 9
10x − 7y = −18

You eliminate x, and divide the bottom equation by 2

You eliminate x, and multiply the top equation by 2

You eliminate y, and multiply the top equation by 7

You eliminate y, and multiply the top equation by -7

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

one solution, (0,3)

one solution, (3,0)

No solution(parallel lines)

Infinitely many solutions

A total of 24 students are in Alfred’s class. The number of girls in the class is 3 more than twice the number of boys. Which system of equations can be used to find g, the number of girls who are in Alfred’s class, and b, the number of boys?

g + b = 24  AND g = 2b +3

g + b = 24 AND b = 2g + 3

g + b = 24 AND g = 2b - 3

g + b = 24 AND b = 3 - 2g

Mr. Newman bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?

8a + 5c = 30 AND a + c = 3

a + c = 8 AND 3a + 5c = 30

5a + 3c = 8 AND a + c = 30

5a + 3c = 30 AND a + c = 8

What is the solution to the system?

a. (0, 3)

b. (1, -1)

c. (-3, 1)

d. (1, 3)

What is the solution?

a. 1

b. -2

c. (1, 2)

d. (1, -1)

How many solutions?

a. One Solution

b. No solution

c. Infinitely Many Solutions

d. none of the above

What is the solution?

a. One Solution

b. No solution

c. Infinitely Many Solutions

d. none of the above

The ordered pair that satisfies all equations in the system.

a. system of equations

b. function

c. graph

d. solution of a system

In the systems of equation below, I can eliminate x by adding because the coefficients are opposites.
4x + 8y = 20
−4x + 2y = −30

True

False

What variable do you eliminate, and what do you multiply the equation(s) by?
5x + y = 9
10x − 7y = −18

You eliminate x, and divide the bottom equation by 2

You eliminate x, and multiply the top equation by 2

You eliminate y, and multiply the top equation by 7

You eliminate y, and multiply the top equation by -7

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

one solution, (0,3)

one solution, (3,0)

No solution(parallel lines)

Infinitely many solutions

A total of 24 students are in Alfred’s class. The number of girls in the class is 3 more than twice the number of boys. Which system of equations can be used to find g, the number of girls who are in Alfred’s class, and b, the number of boys?

g + b = 24  AND g = 2b +3

g + b = 24 AND b = 2g + 3

g + b = 24 AND g = 2b - 3

g + b = 24 AND b = 3 - 2g

Mr. Newman bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?

8a + 5c = 30 AND a + c = 3

a + c = 8 AND 3a + 5c = 30

5a + 3c = 8 AND a + c = 30

5a + 3c = 30 AND a + c = 8

Flex Friday: Systems of Equations

Flex Friday: Systems of Equations

What is the solution to the system?

What is the solution?

How many solutions?

What is the solution?

The ordered pair that satisfies all equations in the system.

In the systems of equation below, I can eliminate x by adding because the coefficients are opposites.4x + 8y = 20−4x + 2y = −30

What variable do you eliminate, and what do you multiply the equation(s) by?5x + y = 910x − 7y = −18

Does the system have one, none or infinite solutions?8x + 4y = 12y = -2x + 3

A total of 24 students are in Alfred’s class. The number of girls in the class is 3 more than twice the number of boys. Which system of equations can be used to find g, the number of girls who are in Alfred’s class, and b, the number of boys?

Mr. Newman bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?

In the systems of equation below, I can eliminate x by adding because the coefficients are opposites.
4x + 8y = 20
−4x + 2y = −30

What variable do you eliminate, and what do you multiply the equation(s) by?
5x + y = 9
10x − 7y = −18

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3