Algebra 1
1.
Find (6x2 – 4x + 2) – (3x2 + 4x – 4)
Extra Review Questions
2. Find (2x – 5)2
3. Multiply (-3x + 4)(2x2 – 4x + 5)
4. Factor 169x2 – 64
5. Factor 5x2 + 13x +6
6. Each side of a square x units long is increased by 4 units. Determine an expression that represents the
area of the new square in square units? (Write it out as two binomials and use FOIL or box-method).
7. Solve (3x + 4)(2x – 5) = 0
8. Solve x2 + 7x = 8.
9. The length of a rectangle is 3 times the width. The area is 27 square centimeters. What is the length?
10. Determine the maximum or minimum, domain, and range of the equation y = -x2 + 5x – 7
11. Determine the axis of symmetry and vertex of the equation y = x2 – 10x + 5
12. Describe how the parent function f(x ) = 𝑥 2 translated to create the graph of g (x ) = (𝑥 − 4) 2 + 8.
13. Describe how the graph of the function g (x) = –3𝑥 2 +4 is related to the graph of the function f(x) = 3𝑥 2
+ 2.
14. Solve x2 – 6x + 8 = 0 by completing the square.
15. Find the value of c that will make 16x2 + 24x + c a perfect square trinomial.
16. Convert y = x2 – 4x +7 to vertex form.
17. Simplify 6√5 ∙ 4√10
18. Simplify (√14 + √6)(√12 − √3)
12
19. Simplify �
𝑥
20. Simplify �56𝑥 5 𝑦 4
21. Simplify 4√27 + 3√9 − 2√12
22. Determine the number of real solutions of 𝑥 2 + 4 x – 6 = 0.
23. Solve 3x2 – 4x – 8 = 0 using the quadratic formula.
24. How does the translated graph of y = √𝑥 + 6 compare to the parent graph of y = √𝑥?
25. Identify the domain and range of the function 𝑦 = √𝑥 + 5 − 9
26. Determine the horizontal and vertical asymptote of y =
27. Solve √𝑥 + 1 − 4 = 6
28. Solve
29. Solve
𝑥+2
3
=
𝑥+8
1
-
7
𝑛−8
5
𝑛−8
=1
2
𝑥−4
+5