Algebra Questions

8 Which value for t below is a a solution to the given inequality 2x 4 3x 5 a 10 b 6 c 2 d 10 e 15

7 Which value for q below is a solution to the inequality 3 q 4 2q 10 a 30 b 20 c 10 d 0

6 Give 5 possible solutions to the inequality 3x 10 21

4 Choose all possible values for x below that satisfy the inequality 4x 10 20 a 20 b 8 C 7 d 2 e 10

5 Which value below is a solution to the inequality 3x 2 2x 4 Select all that apply a x 2 b x 0 c x 5 d x 7

2 Which values for x below are solutions to the inequality 5 x 2 a 10 b 20 c 2 2 d 6 e 9

3 Choose the value for x below that is not a solution to the inequality 3x 10 a 4 b 3 CO c 2 d 1 e 0

Independent Practice 1 Which values for x below are solutions to the inequality 3x 12 Select all possible solutions showing your work clearly a 10 b 5 c 0 d 5 e 10

3 Which solutions below are a solution to the inequality shown 2x 4x 4x 8 a x 2 b x 4 C X 0 d x 2

Partner Practice 1 Identify all values for x below that are a solution to the inequality 2x 4 10 a 2 b 1 c 3 d 5 e 10

4 Find the point on the line x 3y 2 0 that is closest to the point 2 1 A Enter your answer symbolically enter your answe

Find the exact value of the logarithm without using a calculator in Ve

Find the exact value of the logarithm without using a calculator log 381

y 2 x 1 x y 1 Ty 4 3 2 3 2 1 0 2 3 1 2 3 4 X 1

Find the exact value of the logarithm without using a calculator log 12144

The owners of a circus are planning a new act They want to have a trapeze artist catch another acrobat in mid air as the second performer comes into the main tent on a zip line If the path of the trapeze can be modeled by the parabola y x 16 and the path of the zip line can be modeled by y 2x 12 at what point can the trapeze artist grab the second acrobat Above are two trapeze artists catching each other in midair In this new act a person on a zipline will glide right through which for timing essential

x y 6x 8y 21 0 6 9 4 6 5 4 3 2 1 1 0 1 2 3 1 1 2 3 5 6 X

Graph the circle by rewriting the equation in standard form x y 4x 4y 1 0 1 Ty 6 65 5 4 3 2 1 N 3 4 5 1 2 3 4 10 8

x y 7 x y 7 2

linear quadratic system algebraically Solve the given y x 2x 4 y 2x 4

Ty 5 6 5 4 3 2 1 000 3 2 1 1 2 3 4 2 3 4 5 7 Which of the following points is on the circle centered at 8 9 with a radius of 10 unit A 0 3 B 3 5 C 9 1

6 5 N W 3 2 6 5 4 3 2 1 1 1 2 3 4 5 1 2 3 4 5 6 X 1 What are the coordinates of the circle s center 2 What is the radius of the circle T 3 Given the circle the equation of the circle in standard form D

Determine if the point P 3 6 is on a circle centered at 1 3 with a radius of 5 units

T 31 K L J O INJ 4 10 1 IND J 14 6 1 What are the coordinates of the circle s center 2 What is the radius of the circle 3 Given the circle write the equation of the circle in standard form

Not 0 6 Which of the following points is on a circle centered at 5 1 with a radius of 6 4 2 3 0 1 1 1 5

Determine if the point P 1 4 is on a circle centered at 2 3 with a radius of 2 units

The circle with center C 2 5 and containing the point P 2 1

Write the equation of the circle The circle with center C 1 4 and radius r 2

Here is a graph of the function f 3 2 1 W 24 5 Use the graph to find the following If there is more than one answer separate them with comma a All values at which fhas a local maximum b All local maximum values of f

Determine which quadratic equation has tw non real solutions A 2x 12x 18 0 B x 5x 3 0 C 3x 3x 2 0 D 2x 16x 2 0

What is the value of n in the equation 2n 4n 6 0

Problem 7 Which of the following statements are always true for vectors in R i If u vxw 4 then w vx u 4 ii 5u v u 6v 31 u xv iii If u is orthogonal to v and w then u is also orthogonal to w v v u A all of them B iii only C i and iii only D i only E none of them F ii only G ii and iii only H i and ii only

Determine which quadratic equations have 2 real solutions Select two that apply 6x 6x 3 0 9x 3x 9 0 4x 8x 4 0 2x 10x 5 0

Determine which quadratic equations hav 1 real solution Select two that apply 9x 8x 8 0 x 4x 4 0 10x x 9 0 3x 6x 3 0

Which of the following values of x are solutions to the equation x 2x 3 Select all that apply A 1 4i B 1 4i D 3 DE 5

Which is the value of n in the equation n 6n 25

What is the value of x in the equation x 6x 12 0

Solve the equation State whether the solutions are real or non real x 6x 16

Find the type of and the number of solutions for each equation Hint Use the discriminant 4x 12x 9 0

Solve the equation by completing the square State whether the solutions are real or non real x 8x 17 0

Solve the equation using the quadratic formula x 7x 12 0

Solve the equation by completing the square State whether the solutions are real or non re x2 10x 7 0

Find the type of and the number of solutions for each equation Hint Use the discriminant 2x 3x 2 0

Find the type of and the number of solutions for each equation Hint Use the discriminant 3x 2x 6 0

Identify the number of x intercepts and the number of real number solutions for the following quadratic equations

Identify the number of x intercepts and the number of real number solutions for the following quadratic equations 6 N ty x 4

Identify the number of x intercepts and the number of real number solutions for the following quadratic equation N 4 0 2 Het X 6

Multiply 3 i 1 4i

A00 41 2 8i

In Exercises 5 18 solve the equation using the Quadratic Formula Use a graphing calculator to check your solution s See Examples 1 2 and 3 5 2 4x 3 0 6 3x 6x 3 0 7 6x 15 0 8 6 2x 1 0 In Exercises 19 26 find the discriminant of the quadratic equation and describe the number and type of solutions of the equation See Example 4 19 x 12x 36 0 20 2 x 6 0 21 4n 4n 24 0 22 2x 12 0