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# Algebra

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1. A basketball player made 3 out of 4 free throws she attempted. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall percent of successful free throws to 90%.
• Write an equation to represent this situation.
• Solve the equation. How many consecutive free throws would she have to make to raise her percent to 90%?

1 pt for correct answer to part (b),4 pts for showing steps you took to get the correct answer and showing the formula with variable x that you used in part (a).

Note:correct answer to part (a) has only one variable, the variable x.

X represents how many more consecutive tries she needs to make in a row

to raise her overall average up to 90%.

1. Simplify the expression (x^(2)+3x-10) / (x^(2)-6x+8)  Show your work.

NOTE:Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method.Must show how you get factors. Not just give me factors.

1. Write the expression as a simplified rational expression. Show your work. (2x+1)/((1)/(x)+(1)/(x+1))

Jan 16, 2020

#1
+109739
+1

A basketball player made 3 out of 4 free throws she attempted. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall percent of successful free throws to 90%.

Call  x  the number  of additional successful free-throws

So  we have

3 + x

____  =    .90                     cross-multiply

4 + x

3 + x =  .90 ( 4 + x)        simplify

3 + x  = .3.6 + .90x        subtract  3, .90x  from both sides

.1x = .6          divide both sides by .1

x  = 6   =   number of additional  successful free-throws

Jan 16, 2020
#2
+11729
+1

1. Simplify the expression (x^(2)+3x-10) / (x^(2)-6x+8)  Show your work.

2. Write the expression as a simplified rational expression. Show your work. (2x+1)/((1)/(x)+(1)/(x+1))

Jan 16, 2020
edited by Omi67  Jan 16, 2020