Distributive Law
Expand: 2(x+5)
2x+10
Expand: 3(x+6)+1
3x+19
6x+4x
10x
What do we call the number that multiplies a variable?
The coefficient
True or False: 5x and x are like terms.
True
Expand: −3(x+4)
−3x−12
Expand: 2(4x−5)
8x−10
9y−3y+5
6y+5
What do we call numbers or variables separated by + or − signs?
Terms
Write an expression for “three times a number plus 8”
3x+8
Expand: 4(2x−3)
8x−12
Expand: 5(a−3)+2a
7a−15
7a+3−2a+4
5a+7
What do we call terms that have the same variable and exponent?
Like terms
Write an expression for “7 less than twice a number”
2x−7
Expand: 5(x+2y)
5x+10y
Expand fully: 3(x+4)+2(x−1)
5x+10
4x+6−2x−9
2x−3
In the expression −7x+4, identify the coefficient of x.
–7
Are 4x squared and 4x like terms? Why or why not?
No, because the exponents are different
Expand fully: −2(3x−5y+4)
−6x+10y−8
Expand fully: 4(2x−3)−3(x+5)
5x−27
3(2x+4)−5x+1
x+13
In the expression 3a+2b−5, how many terms are there, and which one is the constant term?
3 terms and the constant term is –5
Simplify fully: 2(x+3)+4(x−1)
6x+2