STAAR Algebra 2022 #1-18

The graph of quadratic function r is shown on the grid.

Which answer choice best represents the intercepts of the graph of r?

• x-intercept: (5, 0) y-intercepts: (0, 10) and (0, –2)

• x-intercepts: (0, –10) and (0, 2) y-intercept: (–5, 0)

• x-intercept: (0, 5) y-intercepts: (10, 0) and (–2, 0)

• x-intercepts: (–10, 0) and (2, 0) y-intercept: (0, –5)

A worker is packing items in boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time.

Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?

• The worker packed 8 items in boxes per minute.

• The worker packed 37 items in boxes per minute.

• The worker packed 4 items in boxes per minute.

• The worker packed 15 items in boxes per minute.

A system of equations is graphed on the grid. Which system of equations is best represented by the graph?

• y = 2/5x - 8

  y = -3/5x - 3

• y = -2/5x - 3

  y = -3/5x - 8

• y = 5/2x - 8

  y = -5/3x - 3

• y =5/2x - 3

  y = -5/3x - 8

Decide if each graph is a function or not a function. ​

Groups:

(a) Function

,

(b) Not a Function

• H

• G

• J

• F

What is the solution to this system of equations?

• There is no solution.

• There is an infinite number of solutions.

• (12,16)

• (15,17.5)

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?

• Graph F

• Graph G

• Graph H

• Graph J

The value of y is directly proportional to the value of x. When x = 512, y = 128.

What is the value of y when x = 64?

• 256

• 32

• 16

• 8

A customer is buying bath towels and hand towels and can spend no more than $100. Each bath towel costs $8, and each hand towel costs $5. The inequality 8x + 5y ≤ 100 represents all possible combinations of x, the number of bath towels, and y, the number of hand towels the customer can buy.

Which graph best represents the solution set for this inequality?

• Graph F

• Graph G

• Graph H

• Graph J

An exponential function is graphed on the grid.

Which function is best represented by the graph?

• p(x) = (0.25)^x

• p(x) = 2(0.5)^x

• p(x) = (1.25)^x

• p(x) = (25)^x

Which expression is equivalent to (n - 4)(2n + 7)?

• 3n + 3

• n - 28

• 2n^2 - 15n - 28

• 2n^2 - n - 28