• Answers:
A. Translate each word phrase into a number phrase.
1.) Twelve minus the reciprocal of two.
[tex] \: \: \: \: \: \: \: \boxed{\bullet \: \: \: \tt12 - \frac{1}{2}} \\ [/tex]
✓Multiplicative inverse or what we call the reciprocal can be written as 1/x in which 2 is the x in the given.
2.) Thrice fourteen minus two
[tex] \: \: \: \: \: \: \: \boxed{\bullet \: \: \:\tt3(14) - 2} \\ [/tex]
3.) The product of thrice a number and four
[tex] \: \: \: \: \: \: \: \: \boxed{\bullet \: \: \: \tt(3x)(4 )} \\ [/tex]
✓Product is the result when you multiply numbers. If you don't see any operational sign between a number and variable, or between variables or even between grouping symbols, then you'll proceed to multiplication.
B. Write two word phrases for each algebraic expression.
1.) 2a + 8
[tex] •\tt twice \: a \: number,a, \: plus \: eight \\ • \tt \: the \: product \: of \: two \: and \: a \: number,a,\: \\\tt\:added \: by \: eight[/tex]
2.) 9 - 4x
[tex]• \tt nine \: is \: less \: than \: four \: times \: a \: number,x \\ • \tt the \: product \: of \: four \: and \: a \: number,x, \\\tt \: is\: subtracted \: from \: nine[/tex]
3.) x² + 5
[tex]• \tt the \: square \: of \: a \: number ,x,\: plus \: five \\• \tt five \: is \: added \: from \:a \: number ,x,\\\tt\:that \: is \: being \: raised \: to \: the \: second \: power[/tex]
4.) LWH
[tex]•\tt \: the \: product \: of \: l,w \: and \: h \\•\tt h \: is \: multiplied \: from \: the \: product \: of \: l \: and \: w[/tex]
5.) 2xy + 2yz + 2xz
[tex] •\tt twice \: x \: and \: y \: is \: added \: to \: the \: sum \\ \tt of \: twice \: y \: and \: z \: and, twice \: x \: and \: z[/tex]
When simplified,
[tex] \tt \frac{2xy + 2yz + 2xz}{2} \\ \tt \: xy + yz + xz[/tex]
Therefore, can be written as 2(xy+yz+xz).
[tex]•\tt twice \: the \: sum \: of \: x \: times \: y, \\ \tt y \: times \: z \: and \: x \: times \: z[/tex]
6.) 4(a²+ b)
[tex]•\tt four \: is \: multiplied \: by\: the \: quantity \: of \: a \: number,a, \\\tt\: being \: squared \:times \: a \: number, b \\ • \tt the \: product \: of \: a \: number,a, \: raised\\\tt \: to \: two \: and \: a \: number, b, is \: multiplied \: from \: four[/tex]
