Algebraic Expressions
Evaluate the Expression when a= 7
25 - a
25 - a
25 - 7
=18
10 less than a number p
p -10
Label the coefficient, variable, and constant in the expression below
5p+4
Coefficient: 5
Variable: p
Constant: 4
Simplify the following expression
5(8-3)
40-15
=25
What is the prime factorization for 44?
44= 2 x 2 x 11
=22 x 11
Evaluate the expression when a= 9
13a
13a
13*9
=117
The product of a number, q and 3
3q
3xq
What is the Commutative Property? Give me one reason why you would use the Commutative Property?
The Commutative Property changes the order of addends or factors and does not change the sum or product.
Possible Answer: You use this property to get like terms next to each other so you can easily combine them.
Distribute the following expression
9x(5+ 11)
9x(5+ 11)
45x +99
What is the prime factorization of 450?
450= 2 x 3 x 3 x 5 x 5
= 2 x 32 x 52
Evaluate the expression when a=11
-4+a
-4+a
-4+11
=7
You plant a tree that is 15 inches tall. Every year it grows 12 inches. Write an expression using y for years.
15 +12y
Label the coefficient, variable, and constant in the expression below
x-2
Coefficient: 1
Variable: x
Constant: -2
Simplify the following expression
-8x + 12(3x + 2) +101
-8x + 12(3x + 2) +101
-8x + 36x + 24 +101
36x -8x +24 +101
28x +125
What is the GCF of 72 and 450?
GCF= 2 x 3 x 3 = 18
72= 2 x 2 x 2 x 3 x 3
450= 2 x 3 x 3 x 5 x 5
There were nineteen bales of hay in the barn. Sam stacked seventy - six more bales in the barn today. How many bales does he have in total?
19 + 76
= 76
The length of a hopscotch match depends on the number of timeouts taken by both players. If the total length is represented by 60 - 0.25t (t=# of timeouts), how long would the match be if 20 timeouts were taken?
60 - 0.25t
60- 0.25(20)
60 -5
55 minutes
Why can't you make the following change to the expression using the commutative property?
12 +3x(4 -1) -18x
12 + (4 -1) +3x -18x
12 + 3 +3x -18x
15 -15x
You cannot move the 3x because it is attached to the parentheses and it needs to be distributed first!!!
12 +3x(4 -1) -18x
12 +12x -3x -18x
12 -9x
How many terms will the following expression have when you distribute?
5x(25 +7) + 18x - 22(2x +1)
5x(25 +7) + 18x - 22(2x +1)
125x +35x +18x -44x -22
5 terms!
Factor this expression using the GCF as the distributor:
120y + 280x
40(3y + 7x)
The expression 15a+ 12c is the cost($) for a adults and c kids to buy a movie ticket. If Jimmy is having his birthday party there and invites 8 friends and 4 adults, how much does it all cost?
15a+ 12c
15(4) + 12(9)
60 + 108
$168
Tom Brady works out 3 hours on a weekday and 2 hours on a weekend day. Write an expression for the total hours TB works out on x weekdays and y weekend days. AND find the total hours TB spent working out if he worked out Monday, Wednesday, Thursday, Friday and Saturday.
3x + 2y
3(4) +2(1)
12 +2
14 hours
Explain the difference between the addition property of zero and the multiplication property of zero.
(You can use examples to help you explain)
The addition property of zero says that any number will stay the same when you add zero but the multiplication property says that any number multiplied by zero will be zero.
Simplify the following expression
5(x+ 12) + (9+ 11 -6)4x
5(x+ 12) + (9+ 11 -6)4x
5x +60 +36x +44x -24x
5x +36x +44x -24x +60
85x -24x +60
61x +60
If the GCF of a and b is 6, what numbers have to be in the prime factorization of both a and b?
2 and 3 would have to be in the prime factorization for a and b because those are the prime factors that equal 6.