2.1
Identify the variable in the expression 11 - 5x.
x
Name the property: a + b = b + a.
Commutative Property of Addition
Translate into an algebraic expression: ten less than twice y
2y - 10
Is x = 8 a solution of 3x + 4 = 28?
yes
The numerical factor of a term.
(The number in front of the variable)
Coefficient
Identify the variable in the expression 11 - 5x.
10
Name the property: (xy)w = x(yw).
Associative Property of Multiplication
Translate: the ratio of c and 10.
c/10
Is x = 3 a solution of 17 - 3x = 8?
yes
Terms that have the same variable part raised to the same powers.
Like terms
Identify the terms and coefficients in 5a + 3b - c.
Terms: 5a, 3b, -c; coefficients: 5, 3, -1
Combine like terms: 5x - 8x - 3x^3.
3x - 3x^3
Translate: the sum of c and 6, all divided by 3.
(c + 6)/3
Solve: -5x + 9 = -1.
x = 2
A letter or symbol used to represent a number
Variable
Rewrite (-3x)(-3x)(-3x)(-3x) in exponential form.
(-3x)^4
DAILY DOUBLE: Simplify 3[2(4x - 5) + 4] - 3
24x - 21
A salesperson earns 5% commission on weekly sales s. Write an expression for the commission.
0.05s
Solve: 3(x - 2) = x + 2.
x = 4
A number, variable, or product of numbers and variables separated from other parts by + or -.
term
Simplify: 6x + 5[4 - 2(x - 12)].
-4x + 140
Simplify 2t[4 - (3 - t)] + 5t.
2t^2 + 7t
A worker earns $8.25 per hour plus $0.60 for each unit produced. If h is hours and u is units, write the total-pay expression.
8.25h + 0.60u
DAILY DOUBLE: Solve x/4 = x - 2.
x = 8/3
A mathematical phrase containing numbers, variables, and operation symbols but no equality sign.
Algebraic expression