Algebra Questions

7 5 2x 6 8 175 23 6 8 9 2x 3 17 2 3x

19 1 5x 3 4 8 4 20 1 2 1 4 1 4 x

15 5 3x 10 17 10 12 x 16 12 2x 8 18 2x

11 2x6 10 13 2 4x 10 Practice No Calcul 12 12 5x 2 11 1

Use the Quotient and Reciprocal Identities to match equivalent expressions sin 0 1 1 1 1 1 1 cos 0 a cos 0 csc sin 0 sec 0 cot e cos e tan e sin 0 sin e b cos 0 c tan e d csc 0 e sec 0 f cot 0 1

5 2 4x 2 8 8 4 16 7 1 2 X x 1500 9 3 2x A 5 6 10 2x 12 8 4x 2 24 10 1 2 x 8 x

5 2 4x 2 8 8 4 7 26 1 x 16 6 10 2x 12 8 4x 12 24 2

4 5 3x 10

3 2x 3 5

2 4 2x 10

Solve for the unknown 1

10 Graph each of the following equations using the method indicated a Use the slope and y intercept b Use a point and the slope 2x 3y 9 0 y 5 2 3 x 4 10 8 642 10 8 4 1 21 2 14 6 6 48 10 2 6 8 10 10 8 6 4 2 10 8 6 4 2 2 8 10 3 6 8 10 c Use the x and y intercepts x 5y 10 22 10 8 6 4 2 10 8 6 4 2 2 4 6 8 10 2 6 8 10

2 2 2 0 2 Ex 10 Find the x and y intercepts of this line and use them to graph it 3 7 3 Y X X int x 3y 3 9 y int IX 3 6

Ex 9 Find the x and y intercepts of this line and use them to graph it 3x 2y 6 0 To find u int 8

Ex 8 Rewrite this equation in slope intercept form 3x 5y 10 0 10 10 mx b 24 V

Directions A map uses a scale of 1 inch 30 miles The distance between various cities on the map are given below Find the actual distance between the cities 1 4 inches 5 miles My hand writing is shit 2 7 inches 11 miles 3 1 foot 189 miles 1 Directions A map uses a scale of centimeter 75 kilometers The actual distances between 2 various cities are given below Find the distance between the cities on the map 4 50 kilometers 5 280 kilometers 6 142 kilometers

8 Write an equation in standard form for the line that passes through B 1 3 and C 5 6 9 Write an equation in general form for the line that has a slope of 1 3 and passes through the point 4 6 A1334 x y 43

4 Determine the slope and y intercept of this graph a b 2 0 3 slope y intercept 1 5 slope 1 5 y intercept 3 4 C d 3 slope y intercept 1 5 3 slope y intercept 1 5

7 a Write an equation in general form for this line 4 2 4 2 0 X b Rewrite the equation in part a into slope intercept form What is the y intercept of this line

13 Rewrite these equations in slope intercept form and then graph the lines using the slope and y intercept a 2x y 8 Y ym X X b x 3y 6 y 2X 8 M Y2 Y X2 X1 z 6 29 y x 4 y 2x 3y 2X b olm

Problems Be sure to show all work for each of the following questions You must include all formulas 6 Graph the line with y intercept 5 and slope 4 Write the equation of this line in slope intercept form MATUR 10 8 6 4 2 L B 6 4 Lo 2 2 4 6 00 201 6 8 10

5 Write this equation in slope intercept form y 8 x 2 1 C y X a b 38 5 8 38 y 5x 5 38 5 1 38 y x 5 5 y 1 d y x 3 7 y mx b

Identify the choice that best completes the statement or answers the question 1 Determine the slope of this line segment a b A N V A C d 7 2 B

a b an equation to describe this graph 2 0 2 2 y x 3 2 y 3x 3 X C d 2 5 2 5 y x 3 y x 3

3 To join a tennis club Josephine pays a start up fee of 125 plus a monthly fee of 16 Write an equation to represent the total cost C dollars for t months of membership a t 16C 125 c b C 16t 125 d 4 Determine the slope and y intercept of this graph C 16t 125 C 125t 16

11 Determine the slope of this line segment Determine the y intercept Write an equation for the line 23 12 2 62 68 3 2 1 10 1 2 3 4 5 6 1 2 3 5 5 6 2 m b Equation y 3x 6 y 1 2 x x 2

1 Write an equation for the graph of a linear function that has slope and y intercept 7 b y x y x 7 C d y x 7 y 7x

12 a Graph the line with y intercept I and slope 2 3 Include a minimum of three points m 213 b 1 b Write an equation for this line in slope intercept form y 2 22 1

5 Determine the slope of the line that is parallel to this line a 73 b 7 7 C 3 7 d NIM segment X

A 3 Is the slope of this line segment positive negative zero or not defined a zero b positive B8 C not defined d negative 4 Is the slope of this line segment positive negative zero or not defined 8 44 Ty 0 94 y mx b X

Ex 7 Write an equation of the line in general form that is parallel to the line y 3x 5 and passes through the point 6 5 m 3

Ex 6 Write an equation for the line with a slope of 3 4 and an y intercept of 6 Give your answer in general form y 4 9 4 3 X 46 14 m 44 4 y 47 3x 24

M Ex 4 Write an equation for the line with slope of 2 3 and passing through the point 1 4 Answer in general form

Ex 3 Rewrite this equation in general form y 3 4 x 2 8 4X 747 4 3 sts

Ex 2 Rewrite this equation in general form y 1 2x 7

x 1 Rewrite this equation in general form 3x 5 3x y 3x 5

3 49 70 8 tayos sat gala a b c The ta y s sat galata y s sat af 2 answer B 1 9 C 6 Jata sat gate D 9 E

Solve the system below by using Gauss Jordan Elimination This means convert the system to an augmented matrix put that matrix in reduced row echelon RRE form using row operations and determine the solution a Enter the RRE form of the augmented matrix RRE form of augmented matrix 1 2 4 2 0 0 0 0 0 0 0 0 4x 8y 16z 8 2x 4y 8z 4 3x 6y 12z 6 Correct Good Job 1 2 4 000 00 0 Preview 2 0 0 b Give the solution to the system If there is a unique solution enter it as an ordered triplet in the form x y z If there is no solution enter Inconsistent If there are free variables enter your answer as an ordered triplet in terms of the free variables Preview

1 f x 4x 2 Find f 0

10 2 0 2 1 5 3 1 5 4 1 1 Not equivalent a Multiply R row 1 by 2 Enter the new matrix 10 2 0 2 1 5 3 1 8 11 10 2 5 1 3 Not equivalent 1 5 4 3 1 1 1 1 5 3 1 10 202 b Now replace R3 by adding 3R2 to R3 Enter the new matrix c Now switch R and R Enter the new matrix 1150 254 10 2 0 5 10 2 1 5 8 11 1 5 10 2 Preview 3 1 277 1 1 30 Preview 2 0 3 1 10 2 Preview 1 2

Divide 4 x 6x 15x 28 x 4 3 x 4 A x 2x 8 B x 2x 7 C x 2x 6 D x 2x 8 5 x 4 5 x 4

Simplify Your answer should contai 2x y 4 4 3 x y x 3 A C 10 2y 2 2x21 2 B 4x 1 y 16x14 D 15 y

Find each product 5 3a 7a 1 a a 1 A 3a 10a 9a 6a 1 B 3a 7a 1 4 C 3a 4a 5a 8a 1 D 8a 36a 12a 24a 32

Enter the augmented matrix for the following system of equations Note the following You do not need to solve the system You do not need to insert a vertical line in the position of the equal signs Do not reorder the equations Do not multiply any equation by some non zero constant other than one The variables should be left of each equal sign and the constant to the right Order the first three columns of the augmented matrix as the coefficients of x y and respectively augmented matrix 5z x 3 y 1 y z 2y x 1 3z

Find a polynomial function of least degree having only real coefficients a leading coefficient of 1 and roots of 1 3 1 3 and 7 1 The polynomial function is P x Simplify your answer

Enter the system of equations that is represented by the augmented matrix below Use x y and z for the first second and third variables respectively You do not need to solve the system Equation 1 Equation 2 Equation 3 3 5 7 2 6 2 0 4 1 4 4 2

For each matrix choose one option Either indicate that the matrix is in reduced row echelon RRE form or indicate the ONE condition that the matrix DOES NOT satisfy Matrix 1 O The matrix is in RRE form O 5 0 4 01 5 0000 1 0 There is a leading entry of a row that is NOT one Leading ones DO NOT appear further to the right from row to row O There is a row of zeros that is NOT at the bottom of the matrix O NOT all other entries in a column with a leading one are zero

To enter a matrix type each row as a comma separated list pressing Enter when you need to create a new row You don t need to enter parentheses or brackets Enter the matrix below 8 6 4 6 02

Part 1 of 2 Find the zeros of the function and then describe the behavior of the graph at each zero f x x 10x 25x The zero s is are Use a comma to separate answers as needed

Use the leading coefficient test to determine whether y o or y o as x for the function y 2x x 16 As x y