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Sample Practice Test Questions
Solve for c:
c2 + 6c - 13 = -c + 5
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
c2 + 6c - 13 = -c + 5
c2 + 6c - 13 - 5 = -c
c2 + 6c + c - 18 = 0
c2 + 7c - 18 = 0
Next, factor the quadratic equation:
c2 + 7c - 18 = 0
(c - 2)(c + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 2) or (c + 9) must equal zero:
If (c - 2) = 0, c must equal 2
If (c + 9) = 0, c must equal -9
So the solution is that c = 2 or -9
A quadrilateral is a shape with __________ sides.
4
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which of the following is not an advantage of using a ratchet with a larger point-sized socket?
larger point sizes allow easier alignment
A ratchet (or socket wrench) is a wrench that applies torque in only one direction with a handle that can be moved back and forth without losing contact with the fastener. A ratchet uses variable attachments called sockets which come in a variety of drive sizes based on the size of the opening that attaches to the ratchet. Sockets with the same drive size will vary in the shape (six-point, twelve-point) and size of the nut opening that attaches to the fastener being tightened or loosened. Smaller point sized sockets are stronger and can apply greater torque while larger point sizes allow easier alignment.
Two or more pulleys used together are called:
block and tackle
Two or more pulleys used together constitute a block and tackle which, unlike a fixed pulley, does impart mechanical advantage as a function of the number of pulleys that make up the arrangement. So, for example, a block and tackle with three pulleys would have a mechanical advantage of three.
Leafy vegetables, beans, potatoes, fruits, and whole grains are good sources of:
fiber
Fiber provides bulk to help the large intestine carry away waste. Good sources of fiber are leafy vegetables, beans, potatoes, fruits, and whole grains.
In the foood chain, producers serve as a food source for other organisms. Typical producers are plants that can make their own food through photosynthesis and certain bacteria that are capable of converting inorganic substances into food through:
chemosynthesis
Producers (autotrophs) serve as a food source for other organisms. Typical producers are plants that can make their own food through photosynthesis and certain bacteria that are capable of converting inorganic substances into food through chemosynthesis