Algebra 1 Secure 2. 5-12- 2025

Q1. Roger bought some vegetables at the grocery store. The weight of the vegetables, which consist of cucumbers and broccoli, can be expressed by the polynomial 3x² – x + 5. The weight of just the broccoli can be expressed by the polynomial 2x² – 1. How much do the cucumbers weigh?

• 5x² – x + 4

• x² + 6

• 5x² – 2x + 4

• –x² + x – 6

Q2. Yuriel wants to build a fence around his entire property. The property has a length of 4x – 5 meters and a width of 5x + 7 meters. What is the amount of fencing Yuriel will need?

• 18x + 4

• 18x + 24

• 20x – 35

• 20x² – 60x – 35

Q3. Axel owns a company that builds custom-ordered sheds that follow one of a list of templates. The roof of one type of shed has a profile with the shape shown to the right: three sides of an isosceles trapezoid. The size of the roof depends on the size of the shed, so Axel records its size, in inches, as an algebraic expression. What is the total distance over the roof?

• 4x² + 15x – 5

• 4x² + 12x – 5

• 2x² + 6x – 2

• 2x² + 15x – 5

Q4. Josiah’s shoe company is going to close one of its two stores and combine all the inventory from both stores. Inventory in the store varies based on the time of year, so the inventory in each store is represented by a polynomial expression: • Store A: x² + 65 • Store B: 3x² – 2x + 5 Which expression represents the combined inventory of Josiah’s two stores?

• 4x² – 2x + 70

• 4x² + 2x + 70

• 4x² + 2x + 60

• 4x² – 2x + 60

Tags

CCSS.HSA.APR.A.1

Q5. Mrs. Barry asked her students to determine the difference of subtracting 9x² – 8x – 17 from 3x² – 6x + 9. What is the expression equivalent to the difference?

• 6x² + 2x + 26

• –6x² + 2x – 26

• –6x² + 2x + 26

• 6x² – 2x + 26

Tags

CCSS.HSA.APR.A.1

Q6. Suzanne wrote a polynomial expression on her whiteboard. (6a² – 3a + 2) + (4a² + 5a – 1) – (2a² – a + 3) What is the simplified expression?

• 8a² + 3a – 2

• 10a² + 2a + 4

• 8a² – 3a + 2

• 6a² + 7a – 2

Tags

CCSS.HSA.APR.A.1

Q7. Kenneth sold books online, the number of books he sold can be given by the expression 4x² – 7x – 6. His twin brother, Kendrick sold playing cards online and the number of cards he sold is represented by the expression 8x² + 2x – 3. Which expression shows the difference in the brothers’ sales?

• –4x² – 5x – 9

• 12x² + 9x + 3

• –4x² – 9x – 3

• 12x² – 5x – 9

Tags

CCSS.HSA.APR.A.1

Q8. Crystal is labeling the lengths of her triangular backyard. She knows the perimeter of her yard is 17x + 5y – 16. She labeled two of the sides, what is the length of the third side?

• 7x² + 7y – 13

• 7x + 7y – 13

• 7x + 2y + 9

• 3x – 4y – 12

Tags

CCSS.8.EE.C.7B

Q9. Landon simplified the polynomial expression shown. (4y + 5y² – 6) – (5y + 27 – y²) Select the TWO coefficients in the simplified form.

• –1

• 4

• 5

• 6

• 33

Tags

CCSS.HSA.APR.A.1

Q10. Ms. Gomez provided her students with an expression to simplify. 6x – 3(4x + 5x²) – 11x² + (7 + 2x) Which expression is equivalent to the expression?

• –6x² + 4x + 4

• 4x² – 14x + 7

• –26x² – 4x + 7

• –26x² – 14x + 10

Tags

CCSS.6.EE.A.3