Algebra 2 Readiness Checkup

Question 1
\( 6x^2 = 5x + 4 \)




Question 2
\( 9x^2 = 25 \)




Question 3
\( f(x) = -x^2 +8x - 12 \). Find the x-intercepts, y-intercept, vertex, range and domain.




Question 4
Simplify fully. \( 3\sqrt{45} – 4\sqrt{80} = \)




Question 5
A cell phone company charges a monthly rate of $12.95 and $0.25 a minute per call. The bill for this month is $21.20.
How many minutes were charged on this bill?




Question 6
\( y = 2x^3 - 4 \). Solve for x.




Question 7
Find the domain of the function \( f(x) = \frac{5}{x-2} \).




Question 8
Graph the function and find its range and domain. \( f(x) = \sqrt{2x+10} + 3 \)




Question 9
Factorize completely. \( 24x^7 + 8x^6 – 80x^5 = \)




Question 10
Natalie and her friend made money selling lemonade. Today, they combined their earnings and counted the total of $190. How much did each of them make if Natalie made $40 more than her friend?




Question 11
Simplify.
A) \( 4 - \sqrt{6^2 + 8^2} = \)
B) \( \frac{3}{10}(9 - \sqrt{4}) = \)




Question 12
Expand. \( (2x-4)(2x+4) = \)




Question 13
\( \frac{7}{2x - 10} - \frac{3}{x-5} = \)