Algebra 1 Fall Final 2022-23

What is the solution to the linear equation?

6k + 10.5 = 3k + 12

• k = 2

• k = 0.5

• k = 7.3

• k = 9

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.

4(x – 1) – x = 3(x + 5) – 11

4x – 4 – x = 3x + 15 – 11

3x – 4 = 3x + 4

How can her partial solution be interpreted?

• The equation has one solution: x = 0.

• The equation has one solution: x = 8.

• The equation has no solution

• The equation has infinite solutions.

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other?

• 60t – 55t = 0

• 60t + 55t = 1

• 60t + 55t = 150

• 60t – 55t = 150

What is the slope of a line that is perpendicular to the line y = - 1/6x + 4?

• 1/6

• -1/6

• 6

• 4

The inequality graphed below represents the ages, a, of players on a baseball team.

• 12 < a ≤ 18

• 12 ≤ a < 18

• 12 > a ≤ 18

• 12 ≥ a < 18

Which term completes the product so that it is the difference of squares?

(−5x−3)(−5x+________)

• −9

• -3

• 3

• 9

What is the product of (2p + 7)(3p2 + 4p – 3)?

• 6p3 + 29p2 – 34p + 21

• 6p3 + 29p2 – 22p + 21

• 6p3 + 29p2 + 22p – 21

• 6p3 + 29p2 + 34p – 21

What is the value of s in the equation 3r = 10 + 5s , when

r = 10?

• 4

• 8

• 100

• 200

Which set of ordered pairs represents a function?

• {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}

• {(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

• {(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}

• {(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

Which best describes the relationship between the successive terms in the sequence shown?

2.4, –4.8, 9.6, –19.2

• The common difference is –7.2.

• The common difference is –2.4.

• The common ratio is –2.0.

• The common ratio is –0.5.