Quiz about Solving System of Linear Equations Elimination and Substitution

Question 1

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

Accepted Answer

(3,1)

Answer

(1,3)

Answer

(-3,1)

Answer

(3,-1)

Question 2

Solve for x and y
3x + 2y = 16
7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 3

Solve for x and solve for y
3x - 3y = 33
6x - 3y = 57

Accepted Answer

(8,-3)

Answer

(-3,8)

Answer

(10,1)

Answer

(10,-1)

Question 4

Solve the system of equations
4x+8y=20
-4x+2y=-30

Accepted Answer

(7,-1)

Answer

(-7,1)

Answer

(2,-5)

Answer

(-2,5)

Question 5

Solve the system of equations: 5x + 2y = 9 and 3x - 4y = -6.

Accepted Answer

x = 3/2 and y = 57/26

Accepted Answer

x = 3/2 and y = 57/26

Answer

x = -1 and y = 4

Answer

x = 2 and y = 3

Question 6

Identify which method for solving systems is being described by this fact:
If one equation is isolated like y = 2x or x = 7 - 4y then this method should be used.

Accepted Answer

Substitution

Answer

Graphing

Answer

Elimination (linear combination)

Question 7

Identify which method for solving systems is being described by this fact: Equations must have like terms "stacked" up vertically, usually written in standard form.

Accepted Answer

Elimination (linear combination)

Answer

Graphing

Answer

Substitution

Question 8

When solving the system, if you get a result of something like 6 = 6 or -2 = -2 and the answer is:

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

Not possible

Question 9

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

Accepted Answer

True; using any method will result in the correct solution.

Answer

False; the solution varies because the solution depends on which method is used.

Question 10

What is the solution to this system?

Accepted Answer

(-2,2)

Answer

(-2, -2)

Answer

(2, -2)

Answer

(2, 2)

Question 11

Solve this system by substitution.

Accepted Answer

(1, 4)

Answer

(1, -4)

Answer

(-4, -7)

Answer

(-7, -4)

Question 12

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable.

Accepted Answer

Systems by Elimination

Answer

Systems by Graphing

Answer

Systems by Substitution

Answer

Systems by Drawing

Question 13

a method of solving a system of equations by taking a variable out and replacing it with an expression.

Accepted Answer

Systems by Substitution

Answer

Systems by Graphing

Answer

Systems by Elimination

Answer

Systems by Drawing

Question 14

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

Accepted Answer

(-3,-9)

Answer

(3,-9)

Answer

(-3,9)

Answer

(0,1)

Solving System of Linear Equations Elimination and Substitution

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