SOAR Alg1 | 6-2 Systems of Equations: solve by elimination

Multiple Choice

What are like-terms?

• Terms with the same variable & exponent.

• Terms that are always positive
• Any terms in a mathematical expression
• Terms with different variables & exponents

Categorize

Options (6)

$$-5x$$  

$$\frac{1}{2}x$$  

$$4x$$  

$$7y$$  

$$5x^2$$  

$$4xy$$  

Which terms are like-terms with $$7x$$ ?

Like-terms

Unlike-terms

Multiple Select

Which two terms are like-terms with opposite coefficients?

• $$3x$$

• $$4x$$

• $$-4x$$

• $$6x$$

Multiple Select

Consider the system of linear equations.

$$3x+4y=10$$

$$3x-6y=12$$

Identify a pair of like-terms that have either the SAME or OPPOSITE coefficients.

• $$3x$$

• $$3x$$

• $$4y$$

• $$-6y$$

Multiple Select

Consider the system of linear equations.

$$-5x+3y=8$$

$$-7x-3y=6$$

Identify a pair of like-terms that have either the SAME or OPPOSITE coefficients.

• $$-5x$$

• $$-7x$$

• $$3y$$

• $$-3y$$

Multiple Choice

Consider this system of equations:

$$x+5y=15$$

$$-x-2y=0$$

• There is a pair of like-terms with the SAME coefficients.

• There is a pair of like-terms with the OPPOSITE coefficients.

Multiple Choice

Consider this system of equations:

$$x+5y=15$$

$$-x-2y=0$$

There is a pair of like-terms with the OPPOSITE coefficients.

• Therefore, I should ADD the two equations.

• Therefore, I should SUBTRACT the two equations.

Multiple Choice

Consider this system of equations:

$$x+5y=15$$

$$-x-2y=0$$

When you ADD these two equations, what is the result?

• $$3y=15$$

• $$3x+5y=15$$

• $$-x+2y=15$$

• $$x+5y=10$$

Draw

Solve the equation: $$3y=15$$

Use the blank canvas to show your work & submit your answer on the next slide.

Math Response

Solve the equation:

$$3y=15$$

What does y = ?

Type answer here

Correct Answer: 5

Deg^°

Rad

Draw

Consider this system of equations:

$$x+5y=15$$

$$-x-2y=0$$

Plug y = 5 into the first equation & solve for x.

Use the blank canvas to show your work & submit your answer on the next slide.

Math Response

Consider this system of equations:

$$x+5y=15$$

$$-x-2y=0$$

Plug y = 5 into the first equation.

What is x = ?

Type answer here

Correct Answer: -10

Deg^°

Rad