Simplifying Expressions
Simplify
-5.1m + 2.3m
−2.8m
Use the GCF to generate an expression equivalent to
24v – 84?
12(2v – 7)
Add (8.2x + 16) + (7.6x - 9)
5.8x + 7
Subtract (4.5x – 5) – (3.5x – 10)
x + 5
Josie deposited $450.60 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals, how much money is in Josie’s account at the end of four months?
309.80
Simplify
3.1n + 1.5 - 1.1n - 2.9
2n − 1.4
Select all of the expressions that are equivalent to -3x - 9.
A. –3(x – 3)
B. 3(x + 3)
C. 3(x - 3)
D. -3(x + 3)
E. 3(–x – 3)
D and E
What is the sum? (9c - 8) + (2c - 6)
11c - 14
Subtract
14.33z - 3 - (6 - 5.23z)
19.56z-9
Sarah used 2.5 cups of cheese in a dish that serves 10 people. What constant of proportionality relates the number of servings to cups of cheese?
.25
Simplify
-2.6c - 0.8 - 2.8c + 3.4
−5.4c + 2.6
Which uses the GCF to generate an expression equivalent
to 0.8a + 1.6?
0.8(a + 2)
8.5 + 6.25m) + (12 + 3.75m)
20.5 + 10 m
12y - (-4 - 8y)
20y + 4
On the first visit to the veterinarian’s office, Elijah’s puppy weighed 19 ounces. On the second visit, the puppy had gained 9 ounces. On the third visit, the puppy had gained another 7 ounces. What is the percent increase since the first visit in the puppy’s weight, rounded to the nearest percent?
84
Simplify
-2.3v + (-4.2) + 8.8 + (-3.2v)
-5.5v + 4.6
What are possible dimensions of the rectangular where Area=27x−9?
A. width of x−9 and a length of 27
B. A width of 27 and a length of x−9
C.A width of 9 and a length of 27x−1
D.A width of 3x−1 and a length of 9
E.A width of 9 and a length of 3x−1
F.A width of 27xminus−1 and a length of 9
D.A width of 3x−1 and a length of 9
E.A width of 9 and a length of 3x−1
The width of a rectangle is 7.25x−9.5feet and its length is 9.5x+10feet. Find the perimeter of the rectangle.
33.5x + 1
Select all pairs of equivalent expressions.
A. 3x - 7 - 6x + 13 and -3(x + 2).
B. 6x + 13 - (3x - 7) and 6x + 13 + (-3x + 7)
C. 3x - 7 - (6x + 13) and -2x - 7 + (5x - 13)
D. -(6x + 13) - (-3x - 7) and -3(x + 2)
E. 6x + 13 - 3x - 7 and 5x + 10 - 2x - 4
B, D, E
Connor took out a 4-year loan to buy a car at a 4% simple interest rate. If he has to pay $240 in interest, how much principal did he borrow?
1,500
8 - 4y + (-2y) + 5.3
−6y + 13.3
Laine correctly factors the expression
16.5a - 7.2b + 36. Give two possible
answers Laine could have written.
3(5.5a −2.4b + 12)
and −3(−5.5a + 2.4b − 12)
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 22 more than three three times the length of the bottom of the triangle. The last side is 4 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
5x+6
(-4.25b + 15 - 7k) - (6 + 3.75b - 2k)
−8b −5k+9