Parts of an Expression and Exponents
Identify the terms in the expression
5x + 4
5x, 4
Evaluate -5y when = 3 Show all steps!
-15
Write an expression for the sum of a number and 4
x + 4
What property is shown in the expression:
2+ (x + 4) = (2 + x) + 4
The Associative Property of Addition
Factor out 3 from the given expression:
12x-6
3(4x-2)
Identify the coefficients in the expression
6x + 4
6
Evaluate. Show all steps!
3x + 5 when x = 7
3x + 5 ; x = 7
3(7) + 5
21 + 5
26
Write an expression for the product of a number and 10
10n
What property is shown in the expression:
x + 5 = 5 + x
The Commutative Property of Addition
Simplify the given expression
5(3x2 + 4x - 2) - 3
15x2 + 20x - 10 - 3
15x + 20x - 13
Identify the variables in the expression
5x2 + 4xy - 2z
x, y, and z
Evaluate.
8x2 - 4y when x = 4 and y= -2
136
Write an expression for the quotient of a number and 2.
n/2
What property is used to simplify the expression:
(x + 5) + 4
x + (5 + 4)
x + 9
The Associative Property of Addition
6(k +3) - k
6k + 18 - k
5k + 18
What is the constant in the expression
5w + 2
2
The expression 50y gives the number of dollars Shane earns for raking y number of yards. How many dollars does he earn for raking 8 yards? Show all steps!
What is 400 dollars.
50y ; y = 8
50(8)
$400
The length of a swimming pool is 5 feet shorter than twice the width. Let w represent the width. Write an expression that gives the length of the swimming pool.
2w - 5
Distribute and simplify
3x(6y + 9) - 4y - 2(4x + 3)
18xy+19x-4y-6
Factor the following expression in 3 different ways:
12x3-8x2y+16x
Some Expected Solutions:
2(6x3-4x2y+8x) 4(3x3-2x2y+4x)
2x(6x2-4xy+8) 4x(3x2-8xy+4)
x(12x2-8xy+16)
What is 3*x*x*x*x + x + x in exponential form?
3x4+2x
The total cost of going to the movies is 12.50t + 8b, where t is the number of tickets bought and p is the number of boxes of popcorn bought. What is the total cost for 4 tickets and 5 boxes of popcorn. Show all steps!
$90 in all
Write an expression for the perimeter of a rectangle if the width is 6 and the length is n + 3
2(n + 3) + 2(6)
2n+ 6 + 12
2n + 18
Simplify the expression
2(3x + 4) - 2x +7
6x + 8 - 2x + 7
4x + 15
Completely factor the expression
-18x3y−24x2y2+12xy3−36x2y
-6xy(3x2+4xy-2y2+6x)