Solve for x
Word Problems
Final Jeopardy
100

2x-2=-x+10

x=4

100

Plant A is 10cm tall & growing at a rate of 4cm a month. Plant B is 8cm tall & growing at a rate of 6cm a month.

Write an inequality to determine when Plant B will exceed the height of Plant A.

10+4x < 8+6x

200

2x-4=-2x+4

x=2

200

Flower A is 2 in tall and growing at a rate of 1.5 in a day. Flower B is 4in tall and growing at a rate of 2 in a day. Write an inequality to determine when Flower A will exceed Flower B.

2+1.5x > 4+2x

300

-3x+8=2x+5

x=3/5 OR 0.6

300

An Uber driver charges $0.35 per mile and an initial fee of $3. A Lyft driver charges $0.45 per mile and an initial fee of $1.50. When will the cost of Lyft be greater than taking Uber?

0.35x+3 < 0.45x+1.50

400

-2x+3+7x=-12+10x

x=3

400

You want to hire a DJ for your birthday party. The DJ charges a fee of $500 plus $50 per hour. Write an inequality that could be used to find the possible number of hours that you can hire the DJ if you want to spend no more than $1,000.

500+50x < 1000

400

A farmer is comparing two fields. Field A currently has 1500 kg of wheat stored, and they harvest an additional 20 kg of wheat each day. Field B currently has 2100 kg of wheat stored, but due to a recent sale, they are selling 10 kg of wheat each day. 

Write the equation that represents the number of days it will take for the amount of wheat in both fields to be equal.

Solve for x. What does it represent?

x=20; it would take 20 days for the amount of wheat in both fields to be equal

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