Operations with Expressions

Operations with Expressions

Coeffiecient-number attached to the variable
Variable-letter standing for an unknown
Constant-number with no variable
Term-parts of the expression seperated by a + or -

Multiple Select

Which of these can be found in an expression?

• Numbers

• Operations

• Equal Sign

• Variables

Multiple Choice

The following expression contains how many terms?

$$-3x+y-2-5x$$  

• 2

• 3

• 4

• 5

Multiple Choice

Identify the coefficient in the expression
4m + n + 2

• 2
• 4
• m
• n

Multiple Choice

Identify the variables in the expression
3x +  9

• x
• y
• 9
• 3x

Multiple Choice

The number before a variable is the _____.

• term
• constant
• coefficient
• variable

Adding Expressions

• When you are adding two expressions, ignore the parenthesis and combine like terms

  • They have to have the same variable or no variable to be like terms

​2x + 9 + 4x + 1
6x + 10

Multiple Choice

Add these expressions
(3x+15) + (4x+13)

• 7x+ 28
• 35x
• x+2
• 7x - 2

Multiple Choice

(8b + 12) + (3n + 6) + (9b - 4)

• 17b + 3n + 22

• 17b + 3n + 14

• 8b + 12n + 14

• 11b + 3n + 22

• ​Reminder: You find perimeter by adding all the sides

• Example

  • (a)+(a+5)+(a+5)

  • a+a+5+a+5

  • 3a+10
    

​Perimeter

Multiple Choice

Find the perimeter of the triangle below: 

• (4x + 3) ft
• (6x + 5) ft
• (5x - 3) ft
• (6x + 3) ft

For the problem 9(4x+3)...

• The 9 is outside the parenthesis so this is the number that needs to be multiplied by EVERYTHING inside the parenethesis

Multiple Choice

2(4k + 7)

• 4k-9

• 4K+9

• 8k-14

• 8k+14

Multiple Choice

Which is equivalent to 5(a + 6)?

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n

Subtracting Expressions

Multiple Choice

Find the difference:
(8 - u) - (5u + 1)

• 6u + 7 
• -4u + 7
• -6u + 7
• 4u - 7

Multiple Choice

(5x - 6) - (x + 2)

• 4x - 8
• 4x - 4
• 4x + 4

Multiple Choice

Find the difference:
(2x + 7) - 3(5x - 4)

• -13x - 5
• 17x + 5
• 17x + 5
• -13x + 19