Algebra Final Review

Ms. Law is on leave from work and she has a savings account. She is not getting any extra income and her bills are $899 a week. Her account can be represented by the following equations y = 11,000 - 899x where x is the number of weeks and y is the amount left in the account. What is a reasonable domain for this situation?

• {0, 1, 2, 3, 4, 5}

• {11000, 10911, 10822, 10733, 10644, 10555}

• 0 ≤ x ≤ 5

• 10555 ≤ f(x) ≤ 11000

Write the equation of the line of the best fit for the data.

• y = 3x + 1

• y = x + 3

• y = x + 1

• y = 3x

Alondra sells toy trucks and toy cars. The trucks are $3.50 and cars are $6. She earned $319. Alondra represented this situation with the following equation: 3.50x + 6y = 319 Where x is the number of trucks and y is the number of cars. What would be a reasonable domain for this equation?

• {0,1,2,3,…89,90,91}

• 0 < x < 91

• 1 < y < 53

• {0,1,2,3,…51,52,53}

Alondra sells toy trucks and toy cars. The trucks are $3.50 and cars are $6. She earned $319. Alondra represented this situation with the following equation: 3.50x + 6y = 319 Where x is the number of trucks and y is the number of cars. What would be a reasonable range for this equation?

• {0,1,2,3,…89,90,91}

• 0 < x < 91

• 1 < y < 53

• {0,1,2,3,…51,52,53}

What is the rate of change for the following function:

y = 2.16 + 13.1(x - 3)?

• 2.16

• 13.1

• -3

• -39.3

Which of the following linear inequalities matches the solution set represented by the table?

• y < 3/2x + 3

• y < 1/5x + 3

• y < 2/3x + 1.5

• y < 1.5x + 1

Determine the rate of change shown in the graph.

• 40

• -20/3

• -3/20

• 20/3

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