Algebraic Terms
Identify the variable, coefficient, and constant.
5x + 12
Variable = x
Coefficient = 5
Constant = 12
Simplify then evaluate the expression when x=3
5x+5-2x+4+7x
39
Write the phrase as an expression.
The sum of 123 and 456.
123 + 456
Use the distributive property to simplify the expression.
7(j + 8)
7j + 56
Identify the variable, coefficient, and constant.
y + 13
Variable = y
Coefficient = 1
Constant = 13
Evaluate the expression when x=100, y=37, and z = 19
x - y + z
82
Write the phrase as an expression.
The quotient of 33 and w.
33 ÷ w
Use the distributive property to simplify the expression.
18(5 - 3w)
90 - 54w
Identify the variables, coefficients, and constants. How many terms?
2x + 5 + 13y + 3
Variables = x and y
Coefficients = 2 and 13
Constants = 5 and 3
Terms = 4
Evaluate the expression when a=5 and b=3
10a - 5b
35
Write the phrase as an expression.
17 subtracted from k.
k - 17
Use the distributive property to simplify the expression.
9(2e + e) - 3e
24e
Identify the variables, coefficients, and constants.
6a + 2t
Variables = a, t Coefficients = 6,2
Constants = None
You earn $15 for mowing x lawns. How much money do you earn after mowing 1 lawn, 5 lawns, and 17 lawns?
1 lawn = $15
5 lawns = $75
17 lawns = $255
Write the phrase as an expression.
6 more than the product of 8 and a number x.
8x + 6
(2w+4)3 - 2
6w + 10
Identify the variables, coefficients, and constants.
x + 4 - 2d
Variables = x, d
Coefficients = 1, 2
Constants = 4
The 6th grade class is going to see a movie. It costs $11 for an adult ticket and $6 for a student. How much will the total price be if there are 39 students and 3 adults going?
$11a + $6s = $11(3) + $6(39) Answer = $267
The sides of a square each have a length of 13x.
Write an expression to determine the perimeter of the square.
4(13x) = 52x or 13x + 13x + 13x + 13x = 52x
5(2x+3y-4) + x - 2y
11x +13y -20