Algebraic Expressions
Identify the terms and like terms in the expression.
3n + 7 - n - 3
Terms: 3n, 7, -n, -3
Like Terms: 3n and -n, 7 and -3
Find the sum.
(c - 4) + (3c + 9)
4c + 5
Simplify the expression.
-3(4x - 10)
-12x + 30
Factor the expression using the GCF.
9 - 15x
3(3 - 5x)
Terms that have the same variables raised to the same exponents are called...
Like Terms
Simplify the expression.
4h - 8h
Find the sum.
(-2.1m - 5) + (3m - 7)
0.9m - 12
Simplify the expression.
-7(1 - 3d - 5)
28 + 21d
Factor the expression using the GCF.
16a + 32
16(a + 2)
An algebraic expression is in this form when it has no like terms and no parentheses.
Simplest Form
Simplify the expression.
6.4r - 7 - 2.9r
3.5r - 7
Find the difference.
(x - 1) - (3x + 2)
-2x - 3
Simplify the expression.
3/4(8g - 1/4 - 2/3g)
5 1/2g - 3/16
Factor out the coefficient of the variable term.
6n - 24
6(n - 4)
Linear Expression
Simplify the expression.
3/5x + 19 - 3/20x - 7
9/20x + 12
Find the difference.
(1/2h + 7) - (3/2h + 9)
-h - 2
Simplify the expression.
1/8(16m - 8) - 17
2m - 18
Factor out the coefficient of the variable term.
1/2q + 5/2
1/2(q + 5)
Writing the expression as a product of factors is called...
Factoring the Expression
Simplify the expression.
2/3y + 14 - 1/6y - 8
1/2y + 6
Find the difference.
(4 - 3.7b) - (-5.4b - 4) - (1.2b + 1)
0.5b + 7
Simplify the expression.
-1.5(4 - n) + 2.8
1.5n - 3.2
Factor out the coefficient of the variable term.
-4x + 36
-4(x - 9)
When is Mrs. Edgar's birthday? (Month, Day, Year)
May 2, 1994