Inequalities
Solving Equations
Literal Equations
Word Problems
Variables on Both Sides
100
Solve: 2/3 - 5n/3 ≤ -8/3
What is n ≥ 2?
100
Solve for x:

9m - 4 = -3m + 5 + 12m
What is NO SOLUTION
-4 = 5

WORK
9m - 4 = -3m + 5 + 12m
9m - 4 = -3m + 12m + 5
9m -9m - 4 = 9m -9m + 5
-4 = 5 <~~~NO! So, No Solution!
100
Solve for y: qx = (h + y)/2
What is 2qx - h = y?
100
Two buildings have the same total height. One building has 8 floors with height, h. The other building has a ground floor of 16ft and 6 other floors with height, h. Write and solve an equation to find the height, h, of these floors.
What is 8h = 16 + 6h h = 8
100
Solve for p:

1.5p = 1.25p + 8
What is p = 32

WORK
1.5p = 1.25p + 8
1.5p - 1.25p = 1.25p - 1/25p + 8
0.25p/0.25 = 8/0.25
p = 32
200
Solve: 3(2 + r) ≥ 15 - 2r
What is What is r ≥ 9/5?
200
7k - 8 + 2(k + 12) = 52
What is k = 4
200
Solve for n. p = b + kn
What is n = (p-b)/k ?
200
Online concert tickets cost $37 each, plus a service charge of $8.50 per ticket. The Web site also charges a transaction fee of $14.99 for the purchase. You paid $242.49. How many tickets did you buy?
What is You bought 5 tickets. WORK 37t + 8.50t + 14.99 = 242.49 45.5t + 14.99 = 242.49 45.5t + 14.99 - 14.99 = 242.49 - 14.99 45.5t = 227.5 45.5t/45.5 = 227.5/45.5 t = 5 ~~~> 5 tickets
200
Solve for x:

2(5x - 1) = 3(x + 11)
What is x = 5

WORK
2(5x - 1) = 3(x + 11)
10x - 2 = 3x + 33 [Distribute]
10x - 3x - 2 = 3x - 3x + 33
7x - 2 + 2 = 33 + 2
7x/7 = 35/7
x = 5
300
Solve: n/2 - 1/8 ≥ 3/4 + 5n/6
What is n ≤ -21/8?
300
c/5+2/3=6/5+ c/15
What is x = 4
300
Solve for r: C = P + Prt
What is (C - P)/Pt ?
300
When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
What is n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.
300
2(x+3) = 5x + 15
What is x = -3?
400
The leading scorer in your basketball division finished the season with an average of 20 points per game for 25 games. As the division's second leading scorer, you have a 19.5 point per game average for 24 games. You have yet to play your last game. How many points must you score in the last game of the season to overtake the division's leading scorer?
What is 32 points or more (p > 32)?
400
Find 4x + 2y - 3z(a - 1) if x=5, y=7, z=3, and a=1
What is 34
400
What equation do you get when you solve ky – ng = r for y?
What is y = (r - ng)/k?
400
Solve. If there is too much information, identify that information. Emilio made 65 potholders. Each potholder cost him $1.65 to make. If he sells each potholder for $2.12, how much profit will he make?
What is (65 x 2.12) - (65 x 1.65) = $30.55 You need all the information in the word problem to solve.
400
3(2x - 5) = 2(3x - 2)
What is no solution?
500
The base of a triangle is 10 inches. Its height is (x + 4) inches. Its area must be at least 60 in2. What are the possible values of x? (Area of a triangle = 1/2 base * height)
What is x ≥ 8?
500
c/5+2/3=6/5+ c/15
What is x = 4?
500
Solve m/n = p - 6 for n.
What is n = m/(p-6)?
500
Solve

Pristine Printing will print business cards for $0.10 each plus a setup charge of $15. The Printing Place offers business cards for $0.15 each with a setup charge of $10. What number of business cards costs the same from either printer? BONUS: What would the cost be?
What is Printing 100 cards would cost the same from either business.

WORK
0.10n + 15 = 0.15n + 10
0.10n - 0.10n + 15 = 0.15n - 0.10n +10
15 = 0.05n + 10
15 - 10 = 0.05n + 10 - 10
5 = 0.05n
5/0.05 = 0.05n/0.05
100 = n ~~~>100 cards

BONUS answer: It would cost $25.00 to make 100 cards from either place.

WORK
0.10n + 15 = ??
0.10(100) + 15 = 25 ~~~>$25.00

0.15n + 10 = ??
0.15(100) + 10 = 25 ~~~>$25.00
500
On the first day of the year, Diego had $700 in his savings account and started spending $35 a week. His brother Juan had $450 and started saving $15 a week. After how many weeks will the brothers have the same amount?
What is 5 weeks?