Linear Equations
Linear Inequalities
Proportions
Word Problems
100

5 (n + 3) = -5

Solve for n.

n = -4

100

1 + 2 + 3 + 4 + h > 2 + 3 + 4 + 5

Solve for h.

h > 4

100

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.

100

Derek is building a patio using large square tiles with an area of 42.25 fteach. He uses 9 tiles to make a square patio. What is the perimeter of his patio?

78 ft

200

12 - 3 (w + 7) = 15

Solve for w.

w = -8

200

1 - y/3 < 2

Solve for y.

y > -3

200

Cameron says that 2/3 is equal to 84/125. Is he correct or incorrect? 

Cameron is incorrect.

200

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

300

18 - 4y = -2 (6 + 2y)

Solve.

"Null set," "empty set," "void set," or "no solution"

300

-18d + 5 (8 + 3d) < 7 (3d - 8)

Solve for d.

d >4

300

5/2  = 40/x+4

x = 12

300

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

400

40 - 8x = -8 (x - 5)

Solve.

All real numbers

400

4 - (-7 - k) > 2 (k + 3)

k < 5

400

10/5x-9 = 8/2x-8

x = -2/5

400

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

500

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.

500

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

500

30/105 = d+18/35

Solve for d.

d = -8

500

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.