System of Equations

Solving Linear Equations

May 17, 2021

Multiple Choice

A number on its own that does not change and is without a variable is known as a _______________.

• Term

• Variable

• Coefficient

• Constant

Multiple Choice

Like terms have the same variables and the same exponents.

• true

• false

Multiple Choice

What are the like terms in the following expression?

5a + 2b + 3a

• 5a, -3a

• 5a, 3a

• 5a, 2b

• 5a, 4

Multiple Choice

Which of these are like terms in the following expression:

3x + 9x + 2x²

• 7, 24y

• 3x, 9x

• 3x, -9x

• 3x, -9x, 2x²

Multiple Choice

True or False:

4 and 14 are like terms.

• True

• False

Multiple Choice

How many solutions does this system have?

y = 8x + 8

y = 8x + 8

• One Solution

• No Solution

• Infinitely Many Solutions

Multiple Choice

How many solutions does this system have?

y = 7x - 3

y = 7x +6

• One Solution

• No Solution

• Infinitely Many Solutions

Multiple Choice

 $-2\left(x+1\right)=x-3x-2$                                                                             1st- remove any parenthesis in the problem by doing the distributive property                                                                                                        2nd- once the parenthesis are removed, combine all like terms (variables terms then constant terms) by doing the operation in front of them.                                                                                                        3rd- compare variable terms on both sides then compare constant terms on both sides

• one solution

• no solution

• infinite solutions

Multiple Choice

 $3\left(x+4\right)=3\left(x-8\right)$  

1st- remove any parenthesis in the problem by doing the distributive property                                                                                                        2nd- once the parenthesis are removed, combine all like terms (variables terms then constant terms) by doing the operation in front of them.                                                                                                        3rd- compare variable terms on both sides then compare constant terms on both sides

• one solution

• no solution

• infinite solutions

Multiple Choice

 $3x\ +\ 15\ =\ 3\ \left(x\ +\ 5\right)\$  

Solve:

1st- remove any parenthesis in the problem by doing the distributive property                                                                                                      2nd- once the parenthesis are removed, combine all like terms (variables terms then constant terms) by doing the operation in front of them.                                                                                                        3rd- compare variable terms on both sides then compare constant terms on both sides

• No Solution

• x = 15

• Infinitely Many Solutions