Non-linear equations (multi-variable)

Non-linear equations (multi-variable)

9th - 12th Grade

20 Qs

quiz-placeholder

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Non-linear equations (multi-variable)

Non-linear equations (multi-variable)

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSA.REI.C.7

Standards-aligned

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following are the steps we take to solve a non-linear system of equations in two variables x and y using substitution?

1. Substitute one equation for the other.

2. Solve the resulting equation for x.

3. This is your solution.

1. Solve for y in one of the equations.

2. Plug the expression you found for y into the other equation, and solve for x.

3. Plug the values you found for x into either of the original equations to find the corresponding value of y for each value of x.

4. These are your solutions.

1. Subtract one equation from the other equation.

2. Substitute the resulting equation in for one of the original equations.

3. Solve one of the equations in the new system for x.

4. The value of x is the solution to the system.

It is impossible to solve a non-linear system of equations in two variables with substitution.

Tags

CCSS.HSA.REI.C.7

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following equations could be used to solve:
y = x2 + 3x - 5
y = x + 3

x2 - 3x + 5 = x - 3
x2 + 3x - 5 = x + 3
x2 + 3x - 5 + x + 3 = 0
x2 + 3x - 5 = 0

Tags

CCSS.HSA.REI.C.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

one solution

no solutions

infinitely many solutions

two solutions

Tags

CCSS.HSA.REI.C.7

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Find the solution.

x = 56, 29

x = 35, -12

x = 15, 2

No Solution

Tags

CCSS.HSA.REI.C.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the solution(s) to the system.

(0,-3)(-1,-2)

(0,-3)

(-2,0)(2,0)

No solution

Tags

CCSS.HSA.REI.C.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is/are the y-coordinates of the following system?:

 2x23xy=52x^2-3x-y=-5  
 x+y=5-x+y=5  

 y=0, 2y=0,\ 2  

 y=5, 7y=5,\ 7  

No Solutions

Tags

CCSS.HSA.REI.C.7

7.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which of the following are TRUE about systems of linear equations? Select all that apply.

There must be at least 3 equations in a system.

All equations must be linear (straight lines).

All equations must have the same variables.

All equations must have "x" and "y" specifically.

Tags

CCSS.HSA.REI.C.7

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