At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? (In other words, how should the variables be defined?)

t: Cost of each taco m: Cost of each glass of milk

t: # of tacos m: # of glasses of milk

t: total cost m: # of food items

t: Cost of each glass of milk m: Cost of each taco

How can you tell if a point is a solution to a system?

The (x,y) coordinates satisfy both equations

It makes the first equation true.

It makes neither equation negative

An exam worth 145 points contains 50 questions. Some questions are worth two points and some are worth five points. Write a system of equations that would help determine the number of two point questions and the number of five point questions on the exam.

2 x + 5 y = 145 2x+5y=145 2 x + 5 y = 1 4 5 and x + y = 50 x+y=50 x + y = 5 0

x = 145 x=145\ x = 1 4 5 and y = 50 y=50 y = 5 0

x + y = 145 x+y=145 x + y = 1 4 5 and 2 x + 5 y = 50 2x+5y=50\ 2 x + 5 y = 5 0

2 x = 5 y 2x=5y 2 x = 5 y and x + y = 50 x+y=50 x + y = 5 0

Linear Systems of Equations and Inequalities

9th - 11th Grade

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24 Qs

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Linear Systems of Equations and Inequalities

Quiz

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Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.D.12, 8.EE.C.8B, HSA.REI.C.6

Standards-aligned

Katherine Tarnowski

Used 138+ times

FREE Resource

24 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Match the system to the graph (solution set is on the left)

y ≤ 3x and y ≤ -2x + 4

y > 3x and y > -2x + 4

y < 3x and y > -2x + 3

y > 3x and y < -2x + 4

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which system of inequalities matches the graph?

y > 2x - 4
y < 2

y < 2x - 4
y < 2

y > 2x - 4
y < 2

y < 2x - 4
y < -2

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which system of inequalities is shown?

y ≥ -x - 1
y < x + 4

y < -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which system of linear inequalities is represented by the graph?

y≤2x-1
y>-2x+3

y>2x-1
y≤-2x+3

y<2x-1
y≥-2x+3

y≤2x-1
y>2x+3

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the system of inequalities by graphing.

Tags

CCSS.HSA.REI.D.12

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Linear Systems of Equations and Inequalities

24 questions

Which point is a solution?

Match the system to the graph (solution set is on the left)

Which of the following is not a solution to this system of inequalities?

Which system of inequalities matches the graph?

Which system of inequalities is shown?

Which system of linear inequalities is represented by the graph?

Solve the system of inequalities by graphing.

This system has an infinite number of solutions, TRUE or FALSE?

Solve the system of inequalities by graphing.

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

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