Combining Expressions
5x + 7 + 2x - 3
7x + 4
Factor the expression:
4x - 24
4(x - 6)
Simplify the following expression by distributing:
4(3x + 3)
12x+12
The coefficient of the expression: 3x + 7
3
What is a variable?
Simplify the expression:
13x - 7 -10x +1
3x - 6
Factor the expression:
30x + 12
6(5x + 2)
Simplify the following expression by distributing:
-5(3x - 8)
-15x +40
The constant in the expression: 5y+3x - 3
-3
What is a coefficient?
A number that is being multiplied by the variable
Simplify the expression:
10x+ 5 + 32y -8 -2x
8x + 32y - 3
Factor the expression:
16x - 25
Prime, can not be factored
Distribute then simplify:
3(2x + 4) - 5
Distributed: 6x + 12 - 5
Simplified: 6x + 7
How many terms in this expression: 7x - 5 - 3x + 8 - 3y
5
What is an operator?
A symbol that indicates a mathematical operation, such as +, -, x, or / .
Simplify the expression:
3x + 8 + 7x + x - 8
11x
Simplify the expression then factor:
6x - 4x + 10
Simplified : 2x + 10
Factored: 2(x + 5)
Distribute then simplify:
5(3x+4) + 8x + 7
Distributed: 15x + 20 + 8x + 7
Simplified: 23x + 27
Simplify the following expressions: 3x + 9 + 4y + 8 + 3y
7y + 3x + 17
What is a constant?
A number that is never changing, or a number with no variable
Simplify the expression:
7x + 6y + 8 + 4x + 7y + 2
11x + 13y + 10
Simplify the expression then factor:
15x + 4 - 3x - 10
Simplified: 12x - 6
Factored: 6(2x - 1)
Catch the mistake:
5(x + 10) = 5x + 10
SHOULD BE: 5x + 50
Explanation: The student only distributed to the x and not the 10
Simplify the following expressions: 0.75g + 2g + 0.5g
3.25g
What does it mean to distribute?
to multiply a term outside parentheses by each term inside