Algebra 1 Q3 Quarterly Exam Review
Systems of Equations:
Solve by substitution
1.
2x - 2y = -6
y = -2x
2.
x - 2y = -4
3x = 5y -11
Solve by Elimination
3.
5x + 2y = -3
2x - 4y = -6
4.
3x + 2y = 14
x + 4y = 8
Solve by either method
5.
8x - 7y = 21
2x = 3y + 4
6.
2x + 4y = 7
x + 2y = 3
Operations with polynomials and monomials
REVIEW TAKE HOME QUIZ. MAKE CORRECTIONS TO TEST 2 PT. 2
Additional Problems
Perform the indicated operations. Simplify.
7.
(3x +2) (2x2 - 4x + 7)
8.
(a3)4(2a)2
9.
52(2)-5
Factoring (GCF, DOTS, Case I, Case II, Some problems use more than one of these):
Factor each completely :
10.
3x6y9 + 2x8y5 - 6x6y5
11.
9x2 - 196
12.
4x2y3 - 5xy3 + y3
13.
15x2 + 11x - 14
14.
2x2 - 50
15.
x2 - 15x + 56
Solving Quadratic Equations + word problems
16.
x2 + 5x = 84
17.
2x2 = 3x – 20
18.
25y2 = 441
19.
15x = x2
20.
Find three positive consecutive integers such that the product of the first and second is
fourteen less that 5 times the third.
21.
In a rectangular garden, the length exceeds the width by 6 feet. The area of the garden is
280 sq. feet. Find the length and the width of the garden.
22.
A soccer field is 100 yards long by 50 yards wide. To accommodate a football field, the
groundskeeper has to enlarge the field. If the length and width are increased by the same
amount, the area increases by 2,296 sq. yds. What is the new length and width of the
field?