Algebra 1 EOC Category 3 Spring 2023

Which function represents this relationship?

• y = -3/2x + 4

• y = -3/2x - 14

• y = -2/3x - 9

• y = -2/3x - 1

A rectangle has a length of (5 + 2x) inches and a width of 10 inches. A triangle has a base of 30 inches and a height of (4x - 10) inches. The area in square inches of the rectangle is equal to the area in square inches of the triangle. What is the value of x?

• 2.5

• 3

• 7.5

• 5

A part of a linear function is shown on the grid.

What is the range of the part of the linear function shown?

Choose the correct answer from each drop-down menu to complete the sentence.

The range is the set of all real numbers ​ ​ (a)   ​ and ​ ​ (b)  

• greater than -4
• greater than or equal to -4
• greater than or equal to -2
• greater than -2
• less than or equal to 2
• less than 2
• less than or equal to 3
• less than 3

A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $100.

Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.

Move the correct answer to each box. Not all answers will be used.

​ (a)   x + ​ (b)   y ​ ​ ​ (c)   ​ (d)  

• 7
• 10
• 100
• 17

A line is graphed on a coordinate grid.

Which statement about the line is true?

• The equation of the line is x = -4, and the slope is undefined

• The equation of the line is y = -4, and the slope is equal to -4

• The equation of the line is x = -4, the slope is equal to -4

• The equation of the line is y = -4, and the slope is undefined

What is the solution to this system of equations?

• (2, 27)

• (-2, 3)

• (2, 0)

• (-3, -3)

What is the solution to the equation 5(2w + 4) = 4(2w + 9)?

• w = 5/2

• w = 8

• w = 28/9

• w = 5

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order.

Which linear function models the total cost, t, for a single order of c cartridges?

• c = 26.94t

• c = 18.99t + 7.95

• t = 26.94c

• t = 18.99c + 7.95

The tables of ordered pairs represent some points on the graphs of two different lines.

Which system of equations represents the graph of these two lines?

• x - 6y = -90

  x - 3y = 27

• x + 6y = 90

  x + 3y = -27

• 6x - y = -15

  3x - y = 9

• 6x + y = 15

  3x + y = -9

A company advertises on two websites. Each website charges a different amount based on the number of clicks on the advertisement. The table shows the number of clicks on each website and the total cost for each of two days.

What is the cost per click on Website 1?

• $1.85

• $5.38

• $2.20

• $2.70