solve x
word problems
Quadratic Equations
Equations With Radicals
Linear Inequalities
100

4x−7(2−x)=3x+2

x = 1

100

A widget is being sold in a store for $135.40 and has been marked up 7%. How much did the store pay for the widget?

p=126.5421

100

u2−5u−14=0

u=−2 and u=7

100

2x=√x+3

x = 1

100

4(z+2)−1>5−7(4−z)

z<10

200

2(x+3)−10=6(32−3x)

x = 78/5

200

A store is having a 30% off sale and one item is now being sold for $9.95. What was the original price of the item?

p=14.2143

200

x2+15x=−50

x=−5 and x=−1

200

√33−2x=x+1

x = 4

200

−1<4x+2<10

(−34,2)

300

4−2x/3=3/4−5x/6


x = 11/3

300

Two planes start out 2800 km apart and move towards each other meeting after 3.5 hours. One plane flies at 75 km/hour slower than the other plane. What was the speed of each plane?

r=437.5

300

y2=11y−28

y=4 and y=7

300

7=√39+3x−x

x = -1

300

What does come down but never goes up?

Rain

400

How long do elephant pregnancies last?

22 months

400

Mike starts out 35 feet in front of Kim and they both start moving towards the right at the same time. Mike moves at 2 ft/sec while Kim moves at 3.4 ft/sec. How long will it take for Kim to catch up with Mike?

t=25

400

19x=7−6x2

x=1/3 and x=−7/2

400

x=1+√2x−2

x=1 and x=3

400

0≤10w−15≤23

(3/2,19/5)

500

James is X years older than Alex. Alex is X years older than Kim. James is twice as old as Kim. Alex is 24. Which of the following ages is possible for James?

x = 32 

500

What was the first feature-length animated movie ever released?

Snow White and the Seven Dwarfs

500

6w2−w=5

w=−5/6 and w=1

500

What is "cynophobia"?

Fear of dogs

500

If 0≤x<3 determine a and b for the inequality : a≤4x+1<b

a=1 and b=13