New Year, Same Math.....
Find a difference equivalent to the product shown. Write your final answer as a subtraction expression.
9(x - y)
9x - 9y
Rewrite the expression without parentheses.
14m−(−9m−4)
14m + 9m + 4
Which of the expressions have like terms? Select all that apply.
−3m+3m
5y+2x
t+6.75t
13m+mn
6xy−4xy
6−5p
−3m+3m, t+6.75t, and 6xy−4xy
Use the Distributive Property to expand the expression. Write your final answer as a subtraction expression.
2(4x−9)
8x - 18
Factor the linear expression.
15x + 12y
3(5x + 4y)
5n + 2x + 5
3 terms
Find a sum equivalent to the product shown.
8(y + x)
8y + 8x
Rewrite the expression without parentheses.
(1.3w+2)−5(−0.4+5w)
1.3w + 2 + 2 - 25w
Subtract.
14x−(3+7x)
7x + -3
Combine like terms.
(4+7y)+(3y+8n)+(−3n−2)
10y + 5n + 2
List all the coefficients and constants of the following expression.
−b + 5 + 8 + a/6
Coefficients: 1/6 and -1
Constants: 5 and 8
Combine like terms in the expression below.
6x + 4.43xy + 15y + 40y − 19x + 9.37
-13x + 4.43xy + 55y + 9.37
Add.
(9+2n)+(8+5d)
2n + 5d + 17
Factor the algebraic expression.
12a+32
4(3a + 8)
At a college, the cost of tuition increased by 12%. Let b be the former cost of tuition. Use the expression b+0.12b for the new cost of tuition. Write an equivalent expression by combining like terms.
1.12b
A company has two manufacturing plants with daily production levels of 6x+17 items and 3x−5 items, respectively. The first plant produces how many more items daily than the second plant?
The first plant produces 3x + 22 items
A rectangular garden has a walkway around it. The area of the garden is 4(4.5x+3.5). The combined area of the garden and the walkway is 4.5(6x+6). Find the area of the walkway around the garden as the sum of two terms.
The area of the walkway is 9x + 13
Two friends from a band want to record a demo. Studio A rents for a fee of $120 plus $45 an hour. Studio B rents for a $160 fee plus $35 an hour. What is the difference in renting Studio A for n hours rather than Studio B?
The difference is 10n - 40 dollars
A family is going on a road trip. On the first day the family traveled x miles. The following day the family went 56 miles more than four times the number of miles traveled on the first day. On the third day the family went 93 fewer miles than the first day. Write and simplify an expression for the total number of miles traveled.
6x - 37
A large group of friends needs to call a taxi service to get home. The taxi cab company charges $2 per mile plus an additional fee of $3 for each taxi cab. The group will need 8 taxi cabs. Let x represent the number of miles. The expression 8(2x+3) represents the total cost for everyone to get home. What do the factors 8 and (2x+3) represent?
8 represents the number of taxis needed and (2x+3) represents the cost of each taxi.