Writing Expressions
Simplify the expression 2x - 4 + 3x + 2
5x - 2
What is the GCF of 12 and 18?
GCF = 6
(2x + 4) + (5x + 3)
7x + 7
(4y - 7) - (y - 7)
3y
Are the expressions 3x - 4 and -4 + 3x equivalent?
Yes
Simplify the expression (m + 4) - 2.5m
-1.5m + 4
Factor the expression 20x + 32
4(5x + 8)
(-3x + 4y) + (3y - 7)
-3x + 7y - 7
Subtract the expression 14m - (5 + 8m)
6m - 5
Simplify the expression 2(x - 6) + 2(8)
2x + 4
The water depth of a tidal river is 2.5 feet and is rising at a rate of 1.5 feet each hour. Write an expression to represent the depth of the tidal river after h hours. What will be the depth after 4 hours?
2.5 + 1.5h ; 8.5 feet
Factor the expression -9x + 15 + 18y
3(-3x + 5 + 6y)
Simplify the expression -4(-2.5n + 3n - 4)
-2n + 16
Subtract the expression (3x - n - 1) - (2 - 2x - n)
5x - 3
There are 10x - 8 customers in a store on Monday and 6x + 16 customers on Tuesday. What is the total number of customers for the two days?
16x + 8
Simplify -9 + (-1/3y) + 6 - 4/3y
-5/3y - 3
Factor the expression -12x + 24 - 18y
6(-2x + 4 - 3y)
Add the expression (-5/3 n - 2 - 3t) + (5n + 4 - 1/2t)
10/3n - 7/2t + 2
Each month, a shopkeeper spends 5x + 11 dollars on rent and electricity. If he spends 2x - 3 dollars on rent, how much does he spend on electricity?
3x + 14
Thomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Thomas has been on x rides so far. Select all the expressions that show the number of tickets that Thomas has left.
80 - 5x
80 + 5x
5(16 - x)
-5x + 80
5(16 + x)
80 - 5x
5(16 -x)
-5x + 80
Simplify the expression (-1/3x + 9.5) + x(3/4 + 2.5)
2 11/12x + 9.5
Factor the expression -6x +3y + 30a - 15
3(-2x + y + 10a - 5)
There is a triangle whose bottom side is x. Another side of the triangle is 2 more than three times the bottom. The last side of the triangle is 4 more than the bottom. Write and simplify and expression that represents the perimeter of the triangle
5x + 6
Ryan's family wants to rent a car to go on vacation. Company A charges $50.50 and $0.08 per mile. Company B charges $70.50 and $0.12 per mile. How much more does Company B charge than Company A for driving d miles?
0.04d + 20
Select all the expressions that are equivalent to
-3/4(32 + 24e - 4f)
a) 24 + 18e - 3f
b) -18e + 3f -24
c) -24 - 18e + 3f
d) 8 - 6e - f
e) 3(-8 - 6e + f)
B, C, E