High School Algebra Questions

7 25c 8146

8 163

9 54 5

5 x sy x

6 w y y3 3 4

x

Solve the following system of equations 7x 2y 13 x 2y 11

Solve the following system of equations y 2 4x 3y 18

Solve the following system of equations y 3x 5 5x 4y 3

Solve the following system of equations y 5x 7 3x 2y 12

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year Three years ago her collection was worth 600 000 Two years ago the value of the collection was 690 000 and last year the collection wa valued at 793 500 Assume that the rate at which Madame Pickney s art collection s value increase remains the same as it has been for the last three years The value of the art collection can be represented by a geometric sequence The value of the collection three years ago is considered the first term in the sequence What explicit rule can be used to determine the value of her art collection n years after that O a 600 000 1 15 1 a 600 000 1 9 1 O an 600 000 1 1 1 600 000 0 1

What is a recursive rule for the geometric sequence 6 18 54 162 Enter your answers in the boxes a1 an Basic 7 8 9 X D

Where is the hole for the following function located x 3 f x x 4 x 3 x 3 y 3 x 3 y 3

3 m m 9 What is the solution to the equation m 3 3 m m 9 m 3 m 6 O all real numbers no solution

What is the horizontal asymptote of f x 2x X 1 O O O O y 2 y 1 y 0 y 1

Which graph represents the function f x x 2 10 8 6 4 10 10 8 8 6 4 1999 91 7 9 9 9 4 6 8 10 x 468 10 2 4 6 8 10

Simplify the expression 4x 4x 822 22 2 4x 2 1 2x 222 2 4x 2 1 H

01 M E

e e T

7 a a a

9 b12

5 3x y 2x y

11 mn mn

10 12a5b2

4 3y

2 6b3 3b

6 x 5 3x 17

7 3x 2 2x 7 0

8 x 5 2x 7

5 3x x 6

4 3x 4 4

2 5 2 x 3

1 5 x 7 8

3 6 3x 2 0

A supermarket finds that the number of boxes of a new cereal sold increases each week In the first week only 16 boxes of the cereal were sold In the next week 33 boxes of the cereal were sold and in the third week 50 boxes of the cereal were sold The number of boxes of cereal sold each week represents an arithmetic sequence What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n O a 17n 1 O a 17n 33 an 17n 1 O a 17n 33

Which answer is the explicit rule for the sequence 11 8 5 6 3 5 1 O an 13 1 5n O an 13 2 5n An 13 5 2 5n O a 13 5 2 5n

What is the recursive rule for the sequence 2 7 8 3 13 9 19 5 25 1 O an a 1 5 6 where a 2 7 Oana 1 5 6 where a 2 7 O an an 1 5 6 where a 2 7 anan 1 5 6 where a 2 7

Which answer is the explicit rule for the sequence 2 9 16 23 30 an 2 7n O an 5 7n O an 5 7n O a 2 7n

8 Compare the function g x modeled by the graph and the function f x 2x 21 3 True or false Explain a f x has a greater y intercept b g 1 f 1 c f x increases at a faster rate than g x over interval 0 3

1 Graph both functions to find the solution s to the system 2x 2 f x g x x 2x 3 4 tonify the relative minim 22 3 6543 21 2 66 4 3 2 1 2 44443 2345

11 What is f g x f x x 3 g x 2x x 1

4 Identify the relative minimum and relative maximum values over the interval 2 2 5 4 3 2 3 feat

2 Graph the functions on the same coordinate pian f x x 2 g x x 4 What are the solutions to the equation f x g x 6 5 4 3 654 5 32 3 2 1 2 1 1234 4 5 72374 1 2

10 What is f g x f x x 2x 3 g x 2x3 4x 4

5 Is the function even odd or neither How do f x 2x you know

3 Is the function is even odd or neither How do you know 6 The d The and 2

interval 10 201 7 The function f x equals the number of feet above sea level a rock climber is at x minutes After 45 minutes the climber reaches his maximum height of 800ft above sea level He stays on the mountain for 2 hours What is the practical domain of f x

Calculate the lengths of the 2 unlabeled sides 60 L 2 5 M

You are the senior class president and are selling items for a school fundraiser You have cell phone cases and t shirts that have the school logo on them for sale Each case costs 12 and each t shirt costs 7 After selling a total of 60 items you have made a total of 450 How many cases and t shirts were sold 5 cases 55 t shirts 6 cases 54 t shirts 54 cases 6 t shirts 55 cases 5 t shirts

The table of values represents a polynomial function f x 4 105 How much greater is the average rate of change over the interval 7 9 than the interval 4 6 5 384 Enter your answer in the box 6 945 7 1920