Geometry and Inequalities Quiz

Which is the answer to: x – 9 > –6?

• x > -3

• x ≥ -3

• x > 3

• x ≤ 3

Which situation below can be represented by the equation x + 14 = 25?

• Michelle needs to earn more than 25 points to get an A in math. She has 14 points already. How many more points does she need to earn more than 25 points?

• There are 25 students in band. There are 14 students in choir. How many students are in band and choir in all?

• Randy bought new gloves and a hat for $25. The gloves cost $14. What is the cost of the hat?

• Howard is reading a book. For 14 days, Howard reads 25 pages per day. How many pages does Howard read in all?

Which inequality represents the solution set for z + 17 < -8?

• z < -25

• z ≤ -25

• z > 25

• z ≥ 25

The diagram shows a pan balance. How many squares are equivalent to one rectangle?

• 7 squares

• 6 squares

• 5 squares

• 4 squares

Which number line represents the solution to (4x ≥ 52)?

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Madeline bought a hybrid car that averages 46 miles per gallon. Which equation can be used to determine, g, the amount of gas she would need for a 350-mile trip?

• 350g = 46

• 46g = 350

• \frac{g}{46} = 350

• 350 - g = 46

Frank has a goal of saving $50 for a concert ticket. He saves $5 per week. Which inequality can Frank use to find w, the number of weeks Frank should save in order to meet or exceed his goal?

• 5w ≥ 50

• 5w ≤ 50

• w + 5 ≥ 50

• w + 5 ≤ 50

Which number line represents the solution to

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Kara has $30 to spend at the baseball game. The ticket to the game is $15. She can spend r dollars to buy a t-shirt at the game. Which inequality can be used to determine the possible values for r?

• r + 15 ≥ 30

• r + 15 ≤ 30

• r - 15 ≥ 30

• r - 15 ≤ 30

Which situation below can be represented by 12.5X ≥ 774.80?

• A company is shipping boxes. One box is 12.5 pounds. A large pile of boxes is 774.80 pounds. How many pounds are the boxes in all?

• The donations for a school field trip totaled $774.80. A student ticket for the museum costs $12.50. After one student ticket is purchased, how much donation money is left?

• Bob earns $12.50 per hour at his job. How much money does he earn if he works 774.80 hours?

• To buy a new bicycle, Georgie needs at least $774.80. He saves $12.50 per week. How many weeks does Georgie need to save money in order to have at least $774.80?