Algebra 2 Semester 1 Final Review

Solve for x:

2 (-2x + 2) - 6 = 4

Write your answer as a fraction in simplest form.

Solve the inequality.

74 − 6x < 68

Solve the equation for all values of x.

∣ x − 9 ∣ = 2x

Solve the system of equations:

-7x + 5y = -27

y = 2x

Find the solution of the system of equations.

-7x - 3y = -20

3x + 6y = -15

Determine the domain of the following graph:

• [-9,11)

• (-9,11]

• [-5,10)

• (-5,10]

The graph of y = f(x) is graphed below. What is the end behavior of f(x)?

• as x→−∞,y→∞ and as x→∞,y→∞

• as x→−∞,y→−∞ and as x→∞,y→∞

• as x→−∞,y→∞ and as x→∞,y→−∞

• as x→−∞,y→−∞ and as x→∞,y→−∞

Answer explanation

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1 ≤ x ≤ 5.

Determine the domain on which the following function is decreasing.

• (-∞,4]

• [4,∞)

• (-∞,1]

• [1,∞)

Describe the transformation from the parent function y = |x|:

y = ∣ x−3 ∣ + 2

• 3 units right; 2 units up

• 3 units left; 2 units up

• 3 units right; 2 units down

• 3 units left; 2 units down