Quiz about Solving Systems by SUBSTITUTION

Question 1

What is the 1st step of the SUBSTITUTION method?

Accepted Answer

Solve one of the equations for one of its variables (Get one variable by itself x = or y =)

Answer

Rewrite both equations so that they are in slope-intercept form

Answer

Write final answer as an ordered pair (x, y)

Answer

Look for/create a set of opposites with x or y

Question 2

Is there an equation solved for one of the variables?

$x\ =4y\ +\ 7$

6x\ +\ 2y\ =\ 68

Accepted Answer

YES, there is one equation that is written as: x = or y =

Answer

NO, we would need to solve for x or y in one of the equations

Question 3

Which is the correct substitution of the following system:

$x\ =4y\ +\ 7$

6x\ +\ 2y\ =\ 68

(2nd step of the substitution method)

Accepted Answer

$6\left(4y\ +\ 7\right)\ +\ 2y\ =\ 68$

Answer

$6\left(4y\ +\ 7\right)\ +\ 2y\ =\ 68$

Answer

$6\left(4y\ +\ 7\right)\ +\ 2y\ =\ 68$

Answer

$6\left(4y\ +\ 7\right)\ +\ 2y\ =\ 68$

Question 4

Solve the system using the SUBSTITUTION method

$x\ =4y\ +\ 7$

6x\ +\ 2y\ =\ 68

Accepted Answer

$\left(11,\ 1\right)$

Answer

$\left(11,\ 1\right)$

Answer

$\left(11,\ 1\right)$

Answer

$\left(11,\ 1\right)$

Question 5

Is there an equation solved for one of the variables?

$x\ +\ 2y\ =\ 10$

x\ +\ y\ =\ 6

Accepted Answer

NO, we would need to solve for x or y in one of the equations

Answer

YES, there is one equation that is written as: x = or y =

Question 6

What is the CORRECT substitution of $$y=-x+6$$ into the 1st equation below?

$$x\ +\ 2y\ =\ 10$$

$$x\ +\ y\ =\ 6$$ (2nd step of solving by substitution)

Accepted Answer

$$x\ +\ 2\left(-x\ +\ 6\right)\ =\ 10$$

Answer

$$x\ +\ \left(-x\ +\ 6\right)\ =\ 10$$

Answer

$$x\ +\ 2y\ =\ \left(-x\ +\ 6\right)$$

Answer

$$\left(-x\ +\ 6\right)\ +\ 2y\ =\ 10$$

Question 7

Using the answer to the previous question, solve the equation for x. $$x\ +\ 2\left(-x\ +\ 6\right)\ =\ 10$$

You will solve the system for y in the next question..

Accepted Answer

$$x\ =\ 2$$

Answer

$$x\ =\ -2$$

Answer

$$x\ =\ -\frac{2}{3}$$

Answer

$$x\ =\ -4$$

Solving Systems by SUBSTITUTION