Algebra 1
Part 1
Spring Semester
MPJH
Exam Review
2015
1. Factor the GCF out of the binomial
6x2 + 30x
3c2d – 6c 2d2 + 9c3d4
2. Multiply: (2x – 4) 2
3. Solve:
7. What is the GCF of the following
expression?
8. If the cost of lemons, c, is directly
proportional to their weight, w, and
the cost is $3.78 for 3 lbs., find the
cost for 4.5 lbs.
x2 – 7x + 10
9. Factor: x2 + 12x + 36
4. Multiply: -2x(3x2 + 5x – 8)
10. Write an equation and solve:
5. Factor: x2 – 25
6. Use the quadratic formula to find the
solutions to the following quadratic
equation:
2x2 + 3x – 1 = 0
“Fifteen less than three times a
number is equal to 18”
11. Use the quadratic formula to find the
roots to the following quadratic
equation
3x2 - 8x + 2 = 0
12. Factor: x2 – 121
17. What are the x-intercepts of the
quadratic equation?
x2 – 8x + 15 = 0
13. What are the roots of
x2 + 8x – 20 = 0
18. Factor completely:
x2 - 14x + 49
14. What is the area, in square units, of a
rectangle that has a width of 3x2y5
and a length of 18x6y?
19. Solve for n:
5
n = -16
4
20. Find the solutions to the following
equation:
15. What is the GCF of the following
expression?
20a4 + 25a2
16. Multiply:
(x – 5)(3x + 4)
x(7x + 8) = 0
21. The area of a rectangular field is
given by the expression
2x2 + 5x – 12. If the length of the field
is x + 4, what is the width?
22. Ryan saves nickels and dimes for
tolls. If he has 28 coins worth $2.60,
how many of each coin does he
have?
26. Four video game rentals and 5
movie rentals cost $28.50. Two video
game rentals and three movie
rentals cost $16.00. Find the cost of a
video game rental and a movie
rental.
27. Solve the inequality: -6x + 2 < 20
23. Which of the following best describes
the function: y = -x2 + 5
A.
B.
C.
D.
Stretch; translation
Reflection; stretch
Compression
Reflection; translation
24. Solve the inequality:
-5x – 2 < 3
28. Solve the following system of
equations:
2x + y = 7
x – 2y = 6
29. Write the equation for the quadratic
parent function.
25. Solve the following system of
equations:
2x – 3y = 12
x = 4y + 1
30. The length of a rectangle is 4x2 units.
The width of the rectangle is 3x4
units. What is the area of the
rectangle?