2022 Released Algebra 1 STAAR (Questions 46-54)

46. Which function is equivalent to k(x) = x² + 2x − 15?

• F. k(x) = (x + 15)(x − 1)

• G. k(x) = (x + 1)(x − 15)

• H. k(x) = (x + 5)(x − 3)

• J. k(x) = (x + 3)(x − 5)

47. Which graph best represents part of a quadratic function with a

domain of all real numbers less than −4?

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48. The graph of a line passes through the points (−3, 1) and (5, 8).

What is the slope of the line?

A mail carrier delivers mail on one of two different routes: a morning

route or an afternoon route. Each workday the mail carrier is assigned

one of these two routes.

• Last month the mail carrier delivered mail on the morning

route 16 times and on the afternoon route 12 times, for a

total distance traveled of 141 miles.

• This month the mail carrier delivered mail on the morning

route 10 times and on the afternoon route 15 times, for a

total distance traveled of 123.75 miles.

What is the distance of the morning route in miles?

• A. 5.25 mi

• B. 6.00 mi

• C. 4.75 mi

• D. 5.00 mi

50. Quadratic functions p and q are graphed on the grid. The graph of p

was transformed to create the graph of q.

Which function best represents the graph of q?

• F. q(x) = −(x − 2)²

• G. q(x) = −(x + 2)²

• H. q(x) = −x² − 2

• J. q(x) = −x² + 2

• A. 7.5

• B. 15

• C. 5

• D. Not here

52. The initial value of a home is $200,000. The value of the home will

increase at a rate of 6% each year.

Which graph best models this situation?

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53. A coach has 96 golf balls for the school’s golf team. The coach will

give each player on the team 8 golf balls. The graph shows the linear

relationship between y, the number of golf balls remaining for the

team, and x, the number of players on the team.

The coach will use no more than 6 players on the school’s golf team.

Which set best represents the range of the function for this situation?

• A. {96, 84, 72, 60, 48, 36, 24}

• B. {8, 9, 10, 11, 12, 13, 14}

• C. {96, 88, 80, 72, 64, 56, 48}

• D. {0, 1, 2, 3, 4, 5, 6}

54. Linear function k has a zero of −2 and a y-intercept of 6. Which graph

best represents k?

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