Download Practice - Fort Bend ISD

Name
Class
Date
Practice
Factor Trinomial Equations (Coefficient greater than 1)
Factoring Trinomial
ax 2 + bx + c
Zero Product Property
x 2 + bx + c = (x + m)(x + n), where m + n = b and mn = ac.
For any real numbers a and b, if ab = 0, then a = 0 or b = 0 or both = 0.
Factor and solve each equation. Check your solutions.
1. 8x2 + 2x - 3 = 0
2. 3n2 - 2n - 5 = 0
3. 2d2 - 13d - 7 = 0
4. 4x2 = x + 3
5. 3x2 - 13x = 10
6. 6x2 - 11x - 10 = 0
7. 2k2 - 40 = -11k
8. 2p2 = -21p - 40
9. -7 - 18x + 9x2 = 0
10. 12x2 - 15 = -8x
11. 7a2 = -65a - 18
12. 16y2 - 2y - 3 = 0
13. 8x2 + 5x = 3 + 7x
14. 4a2 - 18a + 5 = 15
15. 3b2 - 18b = 10b - 49
16.
GEOMETRY A rectangle with an area of 24 square inches
is formed by cutting strips of equal width from a rectangular
piece of paper. Find the dimensions of the new rectangle if
the original rectangle measures 8 inches by 6 inches.
Maintain Your Skills
1.
2.
When a contractor paints a square surface that has a side length of x feet, he needs to know the
area of the surface in order to buy the correct amount of paint. Since the contractor always adds
25 square feet to the area, he buys extra paint. Which function can be used to find the total area
in square feet, A(x), that the contractor will use to determine how much paint he needs to buy?
A
A(x) = 25x2
B
A(x) = (25 + x)2
C
A(x) = (25x)2
D
A(x) = x2 + 25
What is the equation in standard form of the line that passes through the point (4, −8) and has a
slope of ¼ ?
A
x − 4y = 36
B
x − 4y = 28
C
x − 4y = −36
D
x − 4y = −28
ANSWERS
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{1/2, ¾}
{-1, 5/3}
{-1/2, 7}
{1, -3/4}
{-2/3, 5}
{-2/3, 5/2}
{-8, 5/2}
{-5/2, -8}
{7/3 -1/3}
{-3/2, 5/6}
(-2/7, -9}
{1/2, 3/8}
{3/4, -1/2}
{-1/2, 5}
{7/3, 7}
6 in x 4 in
Maintain Your Skills
1.
2.
D
A