Equations and Inequalities

Writing Equations

100

2 more than 3 times a number is 50

What is the following equation written in words: 2 + 3n = 50

200

3 less than 4 times a number is 67

What is the following equation written in words: 4n - 3 = 67

300

5 more than 8 times the difference between 6 and a number is 85

What is the following equation written in words: 5 + 8(6 - n) = 85

400

100 is 2 times a number more than the sum of 6 and a number

What is the following equation written in words: 100 = 2n + (6 + n)

500

14 subtracted from 3 times a number is 45.

What is the following equation written in words: 3n - 14 = 45

Writing Inequalities

100

a number is greater or equal to 15

What is the following inequality written in words: x > 15

200

4 more than 4 times a number is less than 45

What is the following inequality written in words: 4 + 4n < 45

300

40 decreased by the product of 3 and the sum of a number and 8 is greater than 56

What is the following inequality written in words: 40 - 3(n + 8) > 56

400

a number is less than the difference between 40 and 35

What is the following inequality written in words: x < (40 - 35)

500

the quotient of 10 and a number is less than 16

What is the following inequality written in words: 10/n < 16

Solving Equations

100

5a = -11 - 6a

a = -1

200

8x-2=-9+7x

What is x = -7?

300

8=8v-4(v+8)

What is v=10?

400

5(2x+6)=-4(-5-2x)+3x

What is x=10?

500

4+7(r+1)=3-2(r-13)

What is r=2?

Solving Inequalities

100

3n < 48

What is n < 16?

200

2x-5 >7

what is x > 6?

300

9n-6<5n+18

What is n<6?

400

-2(x+3)<10

What is x>-8?

500

-3(2-3n)<3+5(n+3)

What is n<6?

Application Problems

100

Jake needs to save at least $1500 to buy a dirt bike. He already has $500. Write an inequality that could be used to solve this problem.

What is a possible word problem for the inequality 500+x>1500?

200

Casey has a classic car collection and each car is worth $18. If sells 5 of his cars how much will he make? (write an equation and solve)

What is a possible word problem whose answer is 5c=$18;  $90?

300

A bunch of 7th graders rent a limo to take to the school dance. The limo costs $200 plus $0.50 per mile. The 7th graders don't want to spend over $225. What is the greatest number of miles they could go in the limo?

What is a possible word problem whose answer is m < 50?

400

Isaac is keeping track of his pins in wrestling. Isaac gets 2 more pins per meet. Write an inequality to determine how many meets it will take Isaac to get more than 26 pins.

What is a possible word problem whose answer is p > 13?

500

You are waiting in line for a roller coaster and there are 28 people ahead of you in line. Each car hold 4 people. Write and solve an inequality that could be used to determine the number of empty cars needed for you to get on the ride.

What is a possible word problem whose answer is c > 7?