Exploring Adding and Subtracting Rational Expressions

What is the inequality expression for 'seven more than three times a number is greater than 34'?

• 3x + 7 > 34

• 7x + 3 > 34

• x + 7 > 3

• 3x - 7 > 34

If 15 less than twice a number is less than or equal to -23, what is the correct inequality?

• 2x - 15 <= -23

• 2x + 15 <= -23

• 15 - 2x <= -23

• 2x - 15 >= -23

What inequality represents a product of a number and -7 increased by 9 being at most 16?

• -7x + 9 >= 16

• -7x - 9 <= 16

• 7x + 9 <= 16

• -7x + 9 <= 16

What is the correct expression for the inequality where the difference between 11 and 1/4 of a number is no less than -8?

• 11 - 1/4x >= -8

• 11 + 1/4x >= -8

• 1/4x - 11 >= -8

• 11 - 1/4x <= -8

How much more snow is needed for a snow day if 1.5 inches have already fallen and at least 10 inches are required?

• At least 8.5 inches

• At least 8 inches

• At least 7.5 inches

• At least 9 inches

If a number decreased by 19 and divided by -6 is no more than 5, what is the inequality?

• (x - 19) / -6 <= 5

• (x - 19) / -6 >= 5

• (x + 19) / -6 <= 5

• (x - 19) / 6 <= 5

How many hours can Jack tutor if he charges $35 per hour and the budget is $420?

• Up to 12 hours

• Up to 10 hours

• Up to 15 hours

• Up to 11 hours

How many more points does Kevin need on part 2 of his test if he already has 54 points and needs at least 86 to pass?

• At least 32 points

• At least 34 points

• At least 30 points

• At least 31 points

What is the minimum number of tickets the coach needs if each of 52 players gets at least 3 tickets?

• At least 155 tickets

• At least 156 tickets

• At least 150 tickets

• At least 160 tickets

How many weeks must Caitlin work to save more than $450 if she earns $55 per week and already has $120?

• More than 6 weeks

• At least 7 weeks

• More than 7 weeks

• At least 6 weeks