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Word Problems
Algebraic Expressions in Words
Solving Equations by Addition and Subtration
Solving Equations by Multiplying and Dividing
Complex Equations
100
Lisa earned $5 per hour at her after-school job. Each week she earned $50. Write an equation to show how many hours she worked each week.
5h = 50 h = 50/5
100
z+8
z plus eight
100
x + 9 = 7
x = -2
100
x/3 = 5
x = 15
100
7 + 4d - 3 + 7d = 4d - 3
d = -1
200
Jennifer is saving money to buy a bike. The bike costs $200. She has $100 saved, and each week she adds $25 to her savings. How long will it take her to save enough money to buy the bike?
4 weeks
200
Write the given algebraic expressions in words. 8/x
8 divided by x The quotient of k and 5
200
a - (-4) = -3
a = -7
200
4x/5 = -8
x = -10
200
5(x + 2) = 5x + 2
No Solution 10 = 2
300
If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?
The longest side is 19 cm.
300
Write in the following expressions as an equation. Four less than three times a number equals 6
3n - 4 = 6
300
y + (-3) = -5 + (-4)
y = 6
300
4m - 3 = 2
m = 5/4
300
(10 - f)/7 = T - 2 for f
f = -7T + 12
400
Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?
He will pay $410.
400
Write the following expressions as an equation and solve. The quotient of k and 5 equals 4
k/5 = 4 k = 20
400
Come up with a funny answer to the following. What is the proper response to the question, "Find x"
DEAR ALGEBRA PLEASE STOP ASKING ME TO FIND YOUR X SHE'S NEVER COMING BACK AND DON'T ASK Y.
400
4g + 6 = 7g - 4
g = 10/3
400
2*a*l*g*e*b*r*a - 4 = i*s + f*u*n solve for g
(is + fun - 4)/2alebra
500
The formula S = h*w*f*t/35,000 gives the approximate size in kilobytes (Kb) of a compressed video. The variables h and w represent the height and width of the frame measured in pixels, f is the number of frames per second (fps) the video plays, and t is the time the video plays in seconds. Estimate the time a movie trailer will play if it has a frame height of 320 pixels, has a frame width of 144 pixels, plays at 15 fps, and has a size of 2370 kb
120 s.
500
Write the expression as an equation and solve for y The difference of five and the product of 2 and y equals the quotient of negative eight and four
2y - 5 = -8/4 y = 3/2
500
Write the answer as a fraction a + 2/3 = 5/2
a = 11/6
500
2a/5 - 3 = 5
a = 20
500
How do you expand (a + b)^2 (hint: It's not what you think)
( a + B ) ^ 2