1. Is the following trinomial a perfect square?
x2 + 8x – 16
A) No B) Yes
2. The demand and supply equations for a certain item are given by
D = –5p + 40
S = –p2 + 30p – 8
Find the equilibrium price.
A) $1.57 B) $1.29 C) $1.71 D) $1.43
3. Solve by completing the square.
x2 – 10x + 24 = 0
A) –4, 6 B) 4, 6 C) 4, –6 D) –4, –6
4. A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
A) 5.430 ft B) 3.860 ft C) 2.610 ft D) 7.720 ft
5. Solve. x2 + 8x + 15 = 0
A) 3, –5 B) –3, –5 C) –3, 5 D) 3, 5
6. Is the following trinomial a perfect square?
x2 – 18x + 81
A) No B) Yes
7. Find the constant term that should be added to make the following expression a perfect-square trinomial.
x2 – 2x
8. Find the axis of symmetry.
y = –x2 + 4x – 6
9. Find the x-intercepts.
y = x2 + 4x
10. A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
A) 3.860 ft B) 7.720 ft C) 2.610 ft D) 5.430 ft
11. The demand and supply equations for a certain item are given by
D = –5p + 40
S = –p2 + 30p – 8
Find the equilibrium price.
A) $1.43 B) $1.57 C) $1.71 D) $1.29
12. Is the following trinomial a perfect square?
x2 – 6x + 9
A) No B) Yes
13. Solve by completing the square.
x2 – 16x + 63 = 0
A) –7, 9 B) 7, 9 C) 7, –9 D) –7, –9
14. Solve by using the quadratic formula. 4x2 – 3x + 3 = 0
15. Find the x-intercepts.
y = x2 – 2x + 4
16. Find the constant term that should be added to make the following expression a perfect-square trinomial.
x2 – 8x
17. The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth.
18. Find the x-intercepts.
y = x2 – 4x + 4
19. Solve by using the quadratic formula. x2 + x – 2 = 0