Algebra 2 Part A Review

The graph shows the amount of gas two vehicles have remaining in their tanks.

What is the solution to the system? (Give your answer as an ordered pair)

• (14, 23)

• (23, 14)

• (5, 350)

• (350, 5)

The graph shows the amount of gas two vehicles have remaining in their tanks.

What does the solution mean in the context of the problem?

After ​ travelling​ (a)   ​ (b)   , ​ both​ vehicles have ​ (c)   ​ (d)   ​ (e)   .

• 350

• miles

• 5

• gallons

• remaining

• hours

• less

• further

In a bike race, Cyclist A has covered 50 miles and continues to ride at an average speed of 15 mph for the rest of the race. Cyclist B had a flat tire and has only covered 25 miles but rides at an average of 20 mph for the rest of the race. Write an equation for the distance, D, per hour, h, that Cyclist A covers. ​ (a)   =​ (b)   ​ (c)   ​ (d)   ​ ​ (e)  

• D

• 50

• +

• 15

• h

• 25

• 20

• -

In a bike race, Cyclist A has covered 50 miles and continues to ride at an average speed of 15 mph for the rest of the race. Cyclist B had a flat tire and has only covered 25 miles but rides at an average of 20 mph for the rest of the race.

How many hours need to pass before Cyclist B catches Cyclist A?

Mathematical Equivalence

ON

• (8, 4)

• (4, 8)

• (-4, 2)

• Infinitely many solutions

• No solution

• (1, 2)

• (2, -11)

• (-11, 2)

• Infinitely many solutions

• No solution

Solve the system of equations below using the graphing, substitution, or elimination method. Then state the solution.

• (3, 4)

• (3, 2)

• (5, 1)

• Infinitely many solutions

• No solution

• (3, 4)

• (3, 2)

• (5, 1)

• Infinitely many solutions

• No solution

In a bike race, Cyclist A has covered 50 miles and continues to ride at an average speed of 15 mph for the rest of the race. Cyclist B had a flat tire and has only covered 25 miles but rides at an average of 20 mph for the rest of the race.

Write an equation for the distance, D, per hour, h, that Cyclist B covers.

​ (a)   =​ ​ (b)   ​ (c)   ​ (d)   ​ ​ (e)  

• D

• 25

• 20

• -

• +

• 15

• h

• 50

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units