- 1. What is the greater of the two solutions for the equation above?
Give only the numerical answer. Do NOT enter "t =".
Answer in integer or decimal form.
- 2. What is the lesser of the two solutions for the equation above?
Give only the numerical answer. Do NOT enter "c =".
Answer in integer or decimal form.
- 3. For the equation above, write the ordered pair for the greater of the two solutions.
- 4. What is the GCF for the polynomial shown above?
- 5. For the polynomial above, write the factors.
A) (4y-3)(3y-2)
B) (3y-3)(4y+2)
C) (3y-3)(4y-2)
D) (4y+3)(3y-2)
- 6. You throw a ball up into the air with an initial vertical velocity of 46 feet per second. The ball leaves your hand when it is 6 feet above the ground. After how many seconds will the ball hit the ground?
Give only the numerical answer. Do NOT enter the units.
- 7. A block of clay has dimensions as follows: Length: x + 9 inches; Width: x inches; and Height: x - 4 inches. The block has a volume of 180 cubic inches.
Find the length, width, and height of the block.
A) 12 in; 3 in; 5 in
B) 10 in; 6 in; 3 in
C) 15 in; 6 in; 2 in
D) 16 in; 5 in; 2 in
- 8. Your neighbor has a walkway around his entire pool as shown in the diagram. The width of the walkway is the same on every side.
Find the square footage of the area of the pool if the walkway is 3 feet wide.
Give only the numerical answer. Do NOT enter the units.
- 9. A brick falls off of a building from a height of 144 feet. After how many seconds does the brick land on the ground?
Give only the numerical answer. Do NOT enter the units.
- 10. In the expression shown above, the terms x2 and -12 have no common factor. To rearrange the terms so that you can group terms with a common factor, which property should be used?
A) transitive
B) commutative
C) associative
D) distributive
- 11. Solve the equation above for the greater value of b.
A) -5
B) 1/5
C) -1/5
D) 5
- 12. Factor the above expression.
A) (7xy + 3zw2)(7xy - 3zw2)
B) (7xy + 3zw)(7xy - 3zw)
C) (3zw2 + 7xy)(3zw2 - 7xy)
D) (3zw4 + 7xy)(3zw4 - 7xy)
- 13. The equation above has only one solution.
A) True
B) False
- 14. The radius of the outer edge of a washer is x and the the radius of the inner edge of the washer is y. Find the area (in cm2) of the washer shown above when:
x = 7 cm; y = 3.5 cm; and pi = 22 / 7
Answer in decimal form to the nearest tenth. Do NOT enter the units.
- 15. A spittlebug jumps into the air with an initial vertical velocity of 10 feet per second.
The spittlebug reaches its maximum height after 0.3125 second. How high can it jump?
Give only the numerical answer rounded to the nearest tenth. Do NOT enter the units.
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