Expressions Unit Review Inequalities

Which situation can be represented by 17.35x > 624.60?

• A waitress has received a $17.35 tip. This brought her total in tips to more than $624.60. How much money in tips did she have before the $17.35 tip?

• Brianda made a deposit of $17.35 into a saving account. This brought the total in her savings account to $624.60. How much money did she have in this savings account before she made the deposit?

• A dozen tamales cost $17.35 including tax. How many dozen tamales can a customer buy with $624.60?

• Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?

Jamal wrote the inequality x/16 ≤ 6. Which situation is best represented by this inequality?

• Jamal divided x pieces of paper among 16 students, and each student received fewer than 6 pieces of paper.

• Jamal placed x cards in 16 stacks, and there were no more than 6 cards in each stack.

• Jamal separated x shirts into 6 stacks, and each stack had at least 16 shirts.

• Jamal shared 16 markers with x classmates, and each classmate had fewer than 6 markers.

Which situation cannot be represented by the equation x+10=45?

• Marissa spent $45 on a hat and a shirt. The hat cost $10. What is x, the cost of the shirt in dollars?

• Nicholas rode his bike 45 miles last week. He rode 10 miles on Tuesday and the rest of the miles on Wednesday. What is x, the number of miles Nicholas rode his bike on Wednesday?

• Two players scored a total of 45 points in a game. One player scored 10 points. What is x, the number of points scored by the other player?

• There are 45 students in a group. There are also 10 adults in the group. What is x, the total number of students and adults in the group?

Alejandra has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have at least $250 left in her checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Alejandra can spend on the computer.

t + 250 ≤ 600

Which inequality represents all possible values of t?

• t ≥ 350

• t ≤ 850

• t ≤ 350

• t ≥ 850

The area of the rectangle shown is 374 square centimeters.

What is h, the height of the rectangle in centimeters?

• 350 cm

• 7.5 cm

• 15 cm

• 162.5 cm

What value of x makes this equation true?

-90 = -100 + x

• -10

• 10

• -190

• 190

Saritha will construct a rectangle that has a height of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Saritha can use to construct this rectangle?

• b ≤ 44

• b ≥ 52

• b ≤ 12

• b ≥ 192

Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price.

What was the price of the subscription each month?

• $39.00

• $2.25

• $324.00

• $22.50

A student needs to collect at least 10 flowers for a science project. The student has already collected 3 flowers. The inequality shown can be used to find n, the number of flowers the student still needs.

n + 3 ≥ 10

Which inequality represents the solution set for this situation?

• n ≤ 13

• n ≥ 13

• n ≤ 7

• n ≥ 7

The sum of the measures of two angles is 183.6°. One angle has a measure of 54°. What is m, the measure in degrees of the second angle?

• m = 129.6°

• m = 3.4°

• m = 9,914.4°

• m = 237.6°