Parts of an Expression and Exponents
Identify the terms in the expression
5x + 4
5x, 4
Evaluate 5y when = 3 Show all steps!
5y ; y = 3
5(3)
15
Write an expression for the sum of a number and 4
x + 4
What property is shown in the expression:
a + 0 = a
The Addition Property of Zero or the Identity Property of Zero
Simplify using the Distributive Property
2( 4x +3)
8x + 6
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 using the Distributive Property
5(3x + 4) + 2x - 3
15x + 20 + 2x - 3
17x + 17
What is y * y * y * y * y in exponential form?
y5
Evaluate. Show all steps!
8 - z when z =4
8 - z ; z = 4
8 - 4
4
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
Simplify
8(5x + 2y + 2) - 10x + 3
40x +16y + 16 - 10x + 3
30x + 16y + 19
Factor the expression using the GCF
12y - 9
GCF: 3
(3* 4y) - (3 * 3)
3(4y - 3)
What is 3*x*x*x*x in exponential form?
3x4
The total cost of going to the movies is 10t + 5b, 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!
10t +5b ; t = 4, b = 5
10(4) + 5(5)
40+ 25
$65
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
Factor the expression
16b + 20y
GCF: 4
(4 * 4b) + (4 * 5y)
4(4b + 5y)