Algebra I STAAR 2022/2023 Sample Problems

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

Which graph represents y as a function of x?

• F

• H

• G

• J

What is the solution to this system of equations? 2x + y = 40 x - 2y = -20

• (12, 16)

• (15, 17.5)

• There is no solution.

• There are an infinite number of solutions.

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

Which situation shows causation?

• When the number of people in a bus increases, the number of animals in a zoo also increases.

• When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.

• When the amount of a discount for a sale increases, the number of items sold during the sale decreases.

• When the number of bike trails in a city decreases, the amount of rainfall in the city increases.

A system of linear equations is represented by line h and line j. A table representing some points on line h and the graph of line j are shown.

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of n(x) = x² - 1?

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

Which expression is equivalent to (5rt - 3rw - 8tw) + (6rt - 4rw + 2tw)?

• 11rt + rw - 10tw

• 11rt - 7rw - 6tw

• 11rt + rw - 6tw

• 11rt - 7rw - 10tw