Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

100x + 40y > 100 3x + 2y ≤ 40

What's the difference between systems of equations and systems of inequalities?

Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

Systems of equations have a shaded region while systems of inequalities do not.

Consider the production constraints for x number of toy cars and y number of toy trucks shown in the graph. Which represents a possible solution for the companies production of toy cars and trucks?

(20, 40) 20 toy cars and 40 toy trucks

(70, 10) 70 toy cars and 10 toy trucks

(60, 20) 60 toy cars and 20 toy trucks

(10, 70) 10 toy cars and 70 toy trucks

Systems of Equations and Inequalities Quiz

32 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the solution?

No solution

(0, 2)

(0, -4)

(3, -3)

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.7

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Where do these two lines intersect?

No solution

(-2, 3)

(3, -2)

(2, 3)

Tags

CCSS.HSA.REI.D.10

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

These two lines intersect at _____.

(4, -2)

(4, 2)

(-2, 4)

No solution

Tags

CCSS.HSA.REI.D.10

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When you graph the exact same equation twice,

you will have no solution.

you will have one solution.

you will have infinite solutions.

you will graph a giraffe.

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a system of linear equations has one solution, what does this mean about the two lines?

Parallel lines

the same line

Intersecting lines

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

15 mins • 12 pts

Solve the following system by graphing. What is the solution?

(-4, 2)

(4, 2)

(2, -4)

(2, 4)

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.2

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve the following system by graphing. What is the solution?

(3, -1)

(-1, -3)

(-1, -1)

(-1, 3)

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.6

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Systems of Equations and Inequalities

What is the solution?

Where do these two lines intersect?

These two lines intersect at _____.

When you graph the exact same equation twice,

If a system of linear equations has one solution, what does this mean about the two lines?

Solve the following system by graphing. What is the solution?

Solve the following system by graphing. What is the solution?

Solve this system of equations.
y = 2x + 1
y = 4x - 1

y = -2x + 5
y = 2x - 11

Solve:
y = 2x -11
-3y = -6x -15

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Systems of Equations and Inequalities

What is the solution?

Where do these two lines intersect?

These two lines intersect at _____.

When you graph the exact same equation twice,

If a system of linear equations has one solution, what does this mean about the two lines?

Solve the following system by graphing. What is the solution?

Solve the following system by graphing. What is the solution?

Solve this system of equations. y = 2x + 1y = 4x - 1

y = -2x + 5y = 2x - 11

Solve:y = 2x -11-3y = -6x -15

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve this system of equations.
y = 2x + 1
y = 4x - 1

y = -2x + 5
y = 2x - 11

Solve:
y = 2x -11
-3y = -6x -15