M1 Unit 1 Interim Review

The sum of three consecutive integers is 273. What is the SMALLEST of these three integers?

• 89
• 90
• 91
• 92

• Subtracting 5 from both sides of the equation.
• Multiplying both sides of the equation by 10 to eliminate fractions.
• Adding 3 to both sides of the equation.
• Dividing both sides of the equation by 5.

Sarah is renting an apartment by the month. She has noticed that her monthly rent changes with the number of months she stays. The initial rent for the first month is $1,200. Each additional month, her rent increases by $50. If Sarah has a budget of 1650, how many months can she stay in her apartment?

Mathematical Equivalence

ON

• x ≤ 24

• The solution x = 3/5 is correct.
• The first mistake was made in Step 1.

• The first mistake was made in Step 2

• The first mistake was made in Step 3.

• Distributive Property
• Step 1 and Step 2
• Associative Property
• Commutative Property
• Division Property
• Step 2 and Step 3
• Step 3 and Step 4

Lily is renting a small meeting room for a workshop. The room rental includes a base fee of $275 plus an additional $5 per person attending the workshop.

If Lily's total cost for the room is $320, how many people are attending the workshop?

Mathematical Equivalence

ON

Alex has made a bet with his parents. If his average score across five exams is at least 85, his parents will treat him to a special dinner at his favorite restaurant. The scores for his first four exams are 70, 85, 90, and 100. He still needs to take one more exam.

To win the bet and get the dinner, Alex needs to ensure that his average score is at least 85.

Which inequality correctly represents this situation?

• Chin

• Jessica

• Stephanie

• Nobody

Lena sells handmade candles at a craft fair. Each candle is sold for $8.50, and she has a fixed cost of $30 for materials. Lena wants to make at least $90 in profit from selling the candles.

To achieve this, how many candles does Lena need to sell at a minimum?

• 12 candles

• 10 candles

• 18 candles

• 15 candles