Solving a System of Equations with Simple Substitution

Solving a System of Equations with Simple Substitution

9th Grade

19 Qs

quiz-placeholder

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Solving a System of Equations with Simple Substitution

Solving a System of Equations with Simple Substitution

Assessment

Quiz

Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following system of equations using the substitution method: x + 2y - z = 4 2x - y + 3z = 7 3x + y + 2z = 1

The system of equations has infinitely many solutions.

The system of equations has exactly one solution.

The system of equations is dependent and has no unique solution.

The system of equations is inconsistent and has no solution.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the substitution method used for in solving 3-variable systems?

To solve for one variable and substitute it into the other equations.

To graph the system of equations.

To solve for all variables simultaneously.

To find the determinant of the coefficient matrix.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When using the substitution method, what is the first step to substitute one variable?

Multiply both sides of the equation by a constant.

Solve one of the equations for one variable in terms of the other variable.

Simplify the equation.

Rearrange the equation to isolate one variable.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which method is most suitable for solving 3-variable systems when the coefficients are simple and easy to work with?

matrix method

graphing method

substitution method

elimination method

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(3,-9)

(-3,-9)

(-3,9)

(0,1)

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

solve by substitution: y=3x+14
y=-4x

y=3

y=1

y= - 2

y=4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following systems of equations using substitution:


x = 5

2x + y = 10

No solution

(0, 5)

(5, 10)

(5, 0)

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