University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2020
Views:

133

Pages:

13
Author:

Armeli1rq

Key Algebra 1 Common Semester 2 Final Review Name: Period: Date: Exponential Growth/Decay Functions y = a(1 ± r)^t Compound Interest y = P(1 + r/n)^nt Arithmetic Explicit: aₙ = a₁ + d(n-1) Geometric Explicit: aₙ = a₁ * r^(n-1) Solve each inequality and graph the solution. 1) |x| + 12 ≤ 16 -12 ≤ x ≤ 4 [Image of number line with solution graphed] 2) |x + 5| + 3 ≤ 9 -5 ≤ x ≤ 1 [Image of number line with solution graphed] 3) |4 + x| ≥ 5 x ≤ -9 or x ≥ 1 [Image of number line with solution graphed] 4) |2x| > 6 x < -3 or x > 3 [Image of number line with solution graphed] 5) |3y - 2| ≤ 3 -1/3 ≤ y ≤ 5/3 [Image of number line with solution graphed] 6) |2(3y + 2)| > 9 -5/3 < y < 1/3 [Image of number line with solution graphed] 7) |5y - 7| ≤ 13 -6/5 ≤ y ≤ 4 [Image of number line with solution graphed] 8) |y + 2| > 15 y < -17 or y > 13 [Image of number line with solution graphed] Graph the absolute value functions. 9) f(x) = 3|x| [Image of the graph of f(x) = 3|x|] 10) f(x) = |x - 2| + 1 [Image of the graph of f(x) = |x - 2| + 1] 11. f(x) = |x - 2| - 1 [Image of the graph of f(x) = |x - 2| - 1] 12. f(x) = |x - 3| [Image of the graph of f(x) = |x - 3|] 13. Write the equation g(x) that is the translation of f(x) = |x| right 2, down 3. g(x) = |x - 2| - 3 14. Write the equation g(x) that is the translation of f(x) = |x| left 1, up 4. g(x) = |x + 1| + 4 15. Write the equation g(x) that is the translation of f(x) = |x| down 5. g(x) = |x| - 5 16. Write the equation g(x) that is the translation of f(x) = |x| left 3. g(x) = |x + 3| 17. Graph the system of inequalities: y ≥ 2x - 2 2y - 3x ≤ 6 [Image of the graph of the system of inequalities] 18. Graph the system of inequalities: 4x - 3y ≤ 9 -4x + 2y ≤ -2 [Image of the graph of the system of inequalities] 19. Graph the system of inequalities: y ≥ -1/2x y ≤ 1 - x [Image of the graph of the system of inequalities] 20. Graph the system of inequalities: y ≤ x + 1 y > -2x + 1 [Image of the graph of the system of inequalities] 21. Graph the system of inequalities: y ≤ 4 y > -2x + 1 [Image of the graph of the system of inequalities]