Linear Equations
5 (n + 3) = -5
Solve for n.
n = -4
1 + 2 + 3 + 4 + h > 2 + 3 + 4 + 5
Solve for h.
h > 4
The morning absentee report shows that 15% of the students are absent. There are 1360 students enrolled in the school. How many students are absent?
204 students are absent.
Derek is building a patio using large square tiles with an area of 42.25 ft2 each. He uses 9 tiles to make a square patio. What is the perimeter of his patio?
78 ft
12 - 3 (w + 7) = 15
Solve for w.
w = -8
1 - y/3 < 2
Solve for y.
y > -3
Cameron says that 2/3 is equal to 84/125. Is he correct or incorrect?
Cameron is incorrect.
Nevaeh uses the function g(x)=0.5+0.2(x-1) to calculate the cost in dollars of using a pay-per-use phone to make a call lasting x minutes. Determine the cost of a 10-minute call.
$2.30
18 - 4y = -2 (6 + 2y)
Solve.
"Null set," "empty set," "void set," or "no solution"
-18d + 5 (8 + 3d) < 7 (3d - 8)
Solve for d.
d >4
5/2 = 40/x+4
x = 12
Briana's cell phone plan gives her a maximum of 200 minutes each month. She used 61 minutes during the first week of this month. If she limits her calls to 15 per week for the remaining 3 weeks this month, what is the maximum length of time rounded to the nearest minute that she can use for each call?
3 minutes
40 - 8x = -8 (x - 5)
Solve.
All real numbers
4 - (-7 - k) > 2 (k + 3)
k < 5
10/5x-9 = 8/2x-8
x = -2/5
Maverick works as a house painter. He knows that it is safe to place the base of his 10-foot ladder 3 feet from the base of a house. Today he has to use a 25-foot ladder. Maverick wants to keep the same ratios in order to be safe. How far should he place the base of his 25-foot ladder from the base of the house?
7.5 feet
Natalie is 5 years older than Noah, but
3 years younger than Caleb. The total of
their ages is 49. How old is Natalie?
Natalie is 17 years old.
Fatima wants to spend less than $50 at the grocery store. She already has $37 worth of groceries in her cart and is going to buy some candy for $.75 each. What number of candies (c) can she buy and stay under her spending limit?
c is less than or equal to 17
30/105 = d+18/35
Solve for d.
d = -8
Each day the exchange rate between U.S. dollars and foreign currency changes. One day, 4 dollars were equivalent to approximately 3 euro. On the same day 3 euro were equivalent to approximately 168.37 Indian rupees. To the nearest rupee, how many Indian rupees are equivalent to 1 dollar?
42 rupees.