Intermediate Algebra Topic 9-1 to 9-4 Review

Intermediate Algebra Topic 9-1 to 9-4 Review

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Multiple Select

Solutions to a quadratic are also called ______. CHOOSE ALL THAT APPLY.

• Answers

• x-intercepts

• Zeros

• y-intercepts

Multiple Select

How many solutions could a quadratic equation have? CHOOSE ALL THAT APPLY.

• 0

• 1

• 2

• 3

Multiple Choice

Find the solutions to the quadratic equation:  $$f\left(x\right)=x^2+2x-3$$  by looking at the graph. 

 

• x = -1, 3

• (-1, -4)

• (-3,1)

• x = -3, 1

Multiple Choice

Find the solutions to the quadratic equation by looking at the table of values.

• x = 14

• x = 2, 7

• (2,7)

• (0,14)

Multiple Choice

What is the factored form of the function shown in the graph?

• $$y=\left(x-2\right)\left(x+5\right)$$

• $$y=\left(x+2\right)\left(x+5\right)$$

• $$y=\left(x-2\right)\left(x-5\right)$$

• $$y=\left(x+2\right)\left(x-5\right)$$

Multiple Choice

What is the vertex of the quadratic

$$y=4\left(x-1\right)\left(x-3\right)$$

• (1, 3)

• (-1, -3)

• (2, 4)

• (2, -4)

Multiple Choice

What are the solutions to the factored form of the quadratic equation:

$$\left(x-4\right)\left(7x+2\right)=0$$  

• $$x=4,\ -\frac{2}{7}$$  

• $$x=4,\ -\frac{7}{2}$$  

• $$x=-4,\ -\frac{2}{7}$$  

• $$x=-4,\ \frac{7}{2}$$  

Multiple Choice

What is the first step when solving by factoring?

• Factor using the box method

• Isolate the x²

• Get the equation equal to zero

• Plug the equation into the graphing calculator

Multiple Choice

Solve the equation by factoring:
$$x^2-9x=-8$$  

• x = -1, 8

• x = 1, -8

• x = -1, -8

• x = 1, 8

Multiple Choice

Solve the equation by factoring:
$$5x^2-4=-8x$$  

• $$x=-2,\ \frac{2}{5}$$  

• $$x=2,-\frac{2}{5}$$  

• $$x=\frac{2}{5},\ 4$$  

• $$x=-\frac{2}{5},\ -4$$  

Multiple Choice

Write an equivalent expression for the following radical expression. Make sure your answer is in the simplest radical form. $$4\sqrt{54}$$  

• $$13\sqrt{6}$$  

• $$12\sqrt{3}$$  

• $$12\sqrt{6}$$  

• $$3\sqrt{6}$$  

Multiple Choice

Write an equivalent expression for the following radical expression. Make sure your answer is in the simplest radical form. $$\sqrt{18x^2y^3z}$$  

•   $$9xy\sqrt[]{2xyz}$$

• $$3xy\sqrt[]{2yz}$$  

•   $$9xyz\sqrt[]{2yz}$$

•   $$3xyz\sqrt[]{2xyz}$$

Multiple Choice

Multiply and simplify the radicals.

$$2\sqrt{8}\cdot3\sqrt{12}$$  

• $$6\sqrt{96}$$  

• $$5\sqrt{20}$$  

• $$24\sqrt{6}$$  

• $$18\sqrt{6}$$  

Multiple Choice

What is the first step when solving using square roots?

• Factor using the box method

• Isolate the x²

• Get the equation equal to zero

• Plug the equation into the graphing calculator

Multiple Choice

Solve the equation using square roots. Write your answer as a simplified radical. $$7x^2=175$$  

• $$x=\pm\sqrt{175}$$  

• $$x=\pm\sqrt{25}$$  

• $$x=\pm25$$  

• $$x=\pm5$$  

Multiple Choice

Solve the equation using square roots. Write your answer as a simplified radical. $$4x^2-10=26$$  

• $$x=\pm9$$  

• $$x=\pm3$$  

• $$x=3$$  

• $$x=\sqrt{9}$$  

Multiple Choice

Solve the equation using square roots:

$$-2\left(x-5\right)^2+7=-11$$

• $$x=2,\ 8$$

• $$x=\pm8$$

• $$x=\pm2$$

• $$x=-8,\ -2$$

Poll

How do you feel going into tomorrow's quiz?

• I have spring break brain and can't remember anything.

• I feel nervous, but am starting to remember.

• I will look over my notes tonight, but feel ready!

• I feel really confident!

Poll

What concept do you feel most unsure about?

• Solving a quadratic using a GRAPHING CALCULATOR

• Solving a quadratic by FACTORING

• Simplifying SQUARE ROOTS

• Solving a quadratic using SQUARE ROOTS