Unit 2a
Which expression is equivalent to -7(y-2)
A. -7y-2
B. -7y+2
C. -7y-14
D. -7y+14
D. -7y+14
All 12 members of the dance team received a new pair of shoes and a uniform. Maria knows that the shoes cost $45 but she does not know the cost of the uniform.
t=12(45+u)
t=12(45)+12u
A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. He writes the equation shown to represent this situation:
6(x + 18) = 192
What does the variable x represent in Jarred’s equation?
The number of screws in 1 kit
The number of screws in all 6 kits
The number of boards in 1 kit
The number of boards in all 6 kits
3
When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a $10.50 charge for each help session a person uses. If John can only spend $170 for the computer help this year, what is the maximum number of help sessions he can use this year?
13
Simplify:
2x+x+2
3x+2
ohn is donating items to a local animal shelter for the 6 dogs that were rescued yesterday. He donates a blanket and a toy for each dog. The blankets cost $12.50 each and the toys cost x dollars each.
t=75+6x
A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. He writes the equation shown to represent this situation:
6(x + 18) = 192
What is the value of x in Jarred’s equation?
11
14
29
35
14
Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal?
4m + 15 > 35
4m + 15 > 35
4m - 15 > 36
4m + 15 < 35
1. 4m + 15 > 35
Simplify:
4(x + 3) - 10 + 6x
10x+2
A triangle has two sides of length a and b. Its third side is twice the length of a.
p = a + b +2a
p = 3a + b
Jenna is purchasing teacher appreciation gifts for her four teachers. She purchases 4 gift cards for $15 each and 4 water bottles for x dollars each. If Jenna paid a total of $107 for the gifts, what is the cost per water bottle?
11.75
Which values for x makes the inequality shown below true?
-1/5+4 ≤ 39
x < 175
x > 175
x < -175
x > -175
D
Simplify:
14x + 10 - 3(x + 2)
11x+4
A triangle has a base length of x units. Its height is 8 units.
a=4x
Ms. Huynh spent $640 to stay in a hotel for four nights. Each night she spent x dollars on the hotel room as well as a $15 parking fee per day. How much money did the hotel cost for one night, excluding the parking fee?
145
Simplify:
-6(2a + 5b) - (a + 4b)
-13a+4b-30