A number or symbol that multiplies a variable in an expression.
Example: the 3 in 3x
Coefficient
Simplify:
(104)(102)
106
Simplify:
3(x + 2)
3x + 6
Simplify:
5 + (-3) - (-12)
14
Simplify:
2/5+1/5
3/5
Terms that have the same variable raised to the same exponent.
Like Terms
What is the value of x?
7x*712 = 741
29
Simplify:
5(2a + 3b - 1)
10a + 15b - 5
Simplify:
(-8) * 4 / (-2)
16
Simplify:
2/3+1/2
7/6
An expression with only one term.
Ex.
3x2, -6x, 8, xy4
Monomial
Which number is the largest?
23*52, 32*25, 53*22
53*22
Simplify:
x2(3x5 + 5x2)
3x7 + 5x4
A stock price decreased by $25 on Monday, increased by $10 on Tuesday, and then decreased by $30 on Wednesday. What is the net change in the stock price over the three days?
To find the net change, we add the changes together:
-25 + 10 - 30 = -45
Simplify 25/150 to its lowest terms
1/6
An expression including more than one term. It involves only the operations of addition,subtraction,and multiplication.
Ex:
3x + 6, 6x2 – 2x, x2+ 7xy + 5
Polynomial
What is the value of x?
82 * 25 = 2x
11
Simplify:
-4x(3x - 7y - 1)
-12x2+28xy+4x
The temperature in Calumet Township, IL was -5°C at midnight. The temperature rose one degree per hour from 12am to 6am and three degrees per hour from 6am to 8am. What was the temperature at 8 am?
-5°C + 1°C*6 + 3°C*2 = 7°C.
Simplify:
3/15 * 7/2
21/30 or 7/10
A polynomial with two terms.
Ex. x2+3
Binomial
Simplify:
(3a3b2)⋅(2a4b7)
6a7b9
Simplify:
2m4n3(7m6n8 - 8m12n)
14m10n11 - 16m16n4
Solve for x: -3(x + 12) = 14x + 15
x=-3
Simplify:
(3/4) / (4/3)
Keep Change Flip
9/16 or 32/42