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Problem 4

Let \(n\) represent the number and translate each phrase or sentence algebraically. A number increased by four

Problem 5

Let \(n\) represent the number and translate each phrase or sentence algebraically. A number decreased by four

Problem 6

Simplify each expression as completely as possible. $$-4(2 r-3 s)+6(s-r)$$

Problem 8

Let \(n\) represent the number and translate each phrase or sentence algebraically. Six less than five times a number

Problem 13

Let \(n\) represent the number and translate each phrase or sentence algebraically. The product of two more than a number and six less than the number

Problem 14

The volume \(V\) of a cube of edge \(e\) is \(V=e^{3} .\) Find the volume of a cube whose edge is \(3.1 \mathrm{cm} .\) Round off the answer to the nearest tenth.

Problem 15

The volume of a rectangular box of length \(L\), width \(W\), and height \(H\) is \(V=L W H\). Find the volume \(V\) of a rectangular box of length \(1.8 \mathrm{ft}\), width \(2.3 \mathrm{ft}\), and height 1.1 ft. Round off the answer to the nearest tenth.

Problem 16

The surface area \(S\) of a closed rectangular box of length \(L\), width \(W\), and height \(H\) is \(S=2 L W+2 W H+2 L H .\) Find the surface area of a rectangular box of length 0.85 meter, width \(1.60 \mathrm{m},\) and height \(2.25 \mathrm{m} .\) Round off the answer to the nearest hundredth.

Problem 19

Separate each list into groups of like terms, and name the coefficient and literal part of each term. $$4, \quad 4 u, \quad 4 u^{2}, \quad 5, \quad 5 u$$

Problem 20

Separate each list into groups of like terms, and name the coefficient and literal part of each term. $$-3, \quad-3 x, \quad-3 x^{2}, \quad-3 x^{3}, \quad x$$

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