Integers/Algebraic Expressions
Calculate the Sum:
(-18) + 35 =
17
____________ is the symbol or letter used to represent a value.
Variable
Calculate: (x + 7) ÷ 3y
When: x= 2, and y= 3
9
Use the distributive property to simply the expression:
2(4 + 9w)
18w + 8
Is the following relation linear? How do you know?
Term # Term Values
1 4
2 5.5
3 7
4 8.5
Yes, this relationship is linear because the pattern rule does not change, it increases by the same value/amount each time.
Find the Algebraic Expression:
Sixty- six subtracted from a number.
n-66
Find the algebraic expression for the following sequence:
10, 14, 18, 22, ......
4n + 6 =10
Calculate: x2 - 5
When: x = 6
31
Use the distributive property to simply the expression:
4(-6z + 4)
-24z + 16
Solve for X:
2x + 6 = 14
x= 4
Find the Algebraic Expression:
Four times a number decreased by 12
4n -12
Find the Algebraic Expression:
Eight divided by twice a number
2n ÷ 8
Simplify and Collect the Like Terms:
–4 + 8p – 6p – 5 + 20p
22p – 9
Use the distributive property to simply the expression:
-(4m-4)
-4m + 4
Solve for y:
y2= 121
y= 11
Solve:
102-(-81)=
183
Find the algebraic expression for the following sequence:
9, 4, -1, -6, ......
-5n + 14=9
Calculate: √j
When: j= 49
7
Use the distributive property to simply the expression:
x(x + 4x + 11)
5x2 + 11x
Solve for n:
5n + 15= 30
n= 3
Find the product:
5 x (-8)=
-40
Find the Algebraic Expression:
Forty- three added to a number squared
n2 + 43
Simplify and Collect the Like Terms:
2(5a + 10) – 3(2a + 1) + 4(a + 5)
8a + 37
Use the distributive property to simply the expression:
-2 (3p +2) -3 (5p- 7)
-21p + 17
Solve. Remember your let and therefore statements!!
Oceanside Bike Rental Shop charges 15 dollars plus 7 dollars an hour for renting a bike. Tom paid 43 dollars to rent a bike. How many hours did he pay to have the bike checked out ?
Tom paid to have the bike checked out for 4 hours.