Algebra Questions

Rewrite the function in the form g x a k Also state the domain and range using inequalities x h g x 2x 7 x 4

3 Find the prodl 3 2x 5x 1 4x2 x 3 6x 5

Find the missing variable for each direct variation k 1 x 5

Identify the transformations of the graph of f x that produce the graph of the given function g x Then graph g x on the same coordinate plane as the graph of f x by applying the transformations on the asymptotes x 0 and y 0 to the reference points 1 1 and 1 1 Also state the domain and range of g x using inequalities g x 0 5 3

ind the missing variable for each inverse variation k 6 x 1

Find the missing variable for each direct variation 1 r

Find the missing variable for each inverse variation k 2 5 y

Find the missing variable for each inverse variatio k 8 x 10

Write an inverse variation equation for the graph that passes through the point 5 10

Find the missing variable for each direct variation k 3 9 y

Write an inverse variation equation for the graph that passes through the point

Write a direct variation equation for the graph that passes through the point

Write a direct variation equation for the graph that passes through the point

Write an inverse variation equation for the graph that passes through the point 8 1

Write a direct variation equation for the graph that passes through the point 2 5

Tell whether the given ordered pairs satisfy a function If so is it a linear function 26 2 5 2 4 2 3 2 2 2 1 27 8 2 6 0 4 2 2 4 0 6 28 29 X y 10 6 0 0 25 2 2 0 50 0 75 4 1 X y 5 1 1 1 3 7 11 1 1 1

Tell whether each equation is linear If so write the equation in standard form and give the values of A B and C 30 2x 8y 16 34 X14 4 4 2 38 y x 2 3 31 y 4x 2 35 x 7 39 5x 2y 3 y 32 2x 36 xy 6 40 2y 6 4 33 y 37 3x 5 y 2y 4 41 y x

ell whether each function is linear If so graph the function

b 4x x 3 6x 5

4 The zeros of g x are 3 1 and 4 Write g x in factored form and standard form Factored form g x

b 3x 2x 7x 5 3x 5x 2x 6 nding coefficient of part b

a b x4 3x 1 2x 4x 6

8 Multiply 27 x 7 x 5 3 x 7

2 Sara has 85 so far in math She wants to increase her grade So far there have been 1 000 points possible in her class The expression below represents the percent she ll have if she earns 100 on her final exam which is worth x points 100 x 850 x 1000 Match each portion of the expression to its meaning A Final total number of Sara s points B Current Percent C Final ratio of points earned to points possible 850 I 100 1000 II x 850 III x 850 x 1000

4 Add Write your answer in simplest form 2x 15 x 3x x 6 x 3x

29 264 6 8 6x M 2 1 0 1 2 3 4 5 6 7 8 30 22 6ks 4 x 2 A 10 6 0

6 Simplify 2x 2 x 3 5x2 X 4

5 Add 2x 1 3 x 3x

7 Simplify 6x 9x 3x2 8x 5 12x 18x 2x 3x 1

Subtract 2x 7 x 3x 10 x 5 x 3x 10

10 Solve for x Find all correct answers X x 5 3 x 2 7x x 3x 10

1 Which domain restrictions apply to the rational expression 14 2x x 7x

12 Solve for x x 15 3 x

3 Solve for x 3 x 2 1 X 1 5x

11 Solve for x Find all correct answers 3x 4 x 2

solutions 13 1 4 26 24 22 20 18 16 14 52 2 6 v 17 18 19 20 21 22 23 24 25 26 27

23 1 x 10 25 16 18 14 12 10 8 24 2 2p 4p 7 6 5 4 3 2 1 0 2

3 n 2 A 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 5 b 5 7 6 5 4 3 2 1 0 1 7 6 sn 4 2 3 4 5 6 7 4 0 v 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 6 n 0 H 7 6 5 4 3 2 1 8 5 v 4 0 1 2 3 4 5 6 7

33 21 3 r 4 2 5x 1 11 3 2 101 3 5 6 7 34 67 7 5x 3 66 5x 10 8 6 4 2 0

17 6 2 7n 3 2n 2 42 33 4 3 2 1 0 1 2 5 18 156 6 10k 9 10 11 12 13 14 15 16 17 18 19

25 8 4x 3x 16 14 12 10 8 27 4 6n 4 n 6 26 14 5m 4m 6 3 4 5 6 7 8 9 10 11 12 13 28 16 8x 7x 2 8x

19 6 8 16 14 21 13 1 2x 12 10 8 X 20 10 9 14 6 7 8 9 10 11 12 13 14 15 16 22 9 8 x 153

Learning Target I can solve inequalities and graph the solution set on a number line 2018 Kuta So ft ware LLC All rights reserved Examples How to graph a solution set to an inequality 1 nz 2 7 6 5 4 3 2 1 0 1 3 4 5 6 7 2 a 5 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7

Try It Write an inequality for the given graph 9 11 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 10 7 6 5 4 3 2 1 0123 12 7 6 5 4 3 2 1 0 1 567 2 3 4567

5 Write 1 in factored form using the root given and the ones you found Challenge Find the roots of f x x 4x 7x 16x 12 find 2 roots on the graph do synthetic division with one then do synthetic division with the other zero on the answer of the first synthetic division

22 x y 7 x y 13 23 x y 4 x y 6 x y x y Yan t The Answer is

of x3 5x 2x 8 0 algebraically

4 y 2x x 1

3 g x x 3x x 3

13 1 82 32 12 14 15 15 5 164 V103