P7: Equations

​P7: Equations

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Multiple Choice

Solve for the variable x.

-9(x + 5) + 6 = -12

• 10

• 3

• 4

• -3

Multiple Choice

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6
• x = 6
• x = 3

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Multiple Choice

What are the 2 characteristics we look for when trying to solve a quadratic equation?

• A positive coefficient for $$x^2$$ & the equation set equal to 0.

• Factor and cancel

• Distribute and combine like terms

• There is no such thing as a quadratic equation

Multiple Choice

What is the first step in solving this quadratic equation? $$x^2+5x=6$$  

• Factor

• Subtract 6 from both sides to set the equation equal to 0

• Set each factor equal to 0

• Combine like terms

Multiple Choice

Solve the following quadratic equation: $$x^2+25=10x$$  

• $$x=-5$$  

• $$x=5$$  

• $$x=0$$  

Multiple Choice

Solve the following quadratic equation: $$x^2-13x-30=0$$  

• $$x=3\ \ \ \&\ \ \ x=10$$  

• $$x=-3\ \ \ \&\ \ \ x=-10$$  

• $$x=-2\ \ \ \&\ \ \ x=15$$

• $$x=2\ \ \ \&\ \ \ x=-15$$  

Multiple Choice

Solve using square roots.
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Multiple Choice

Solve using square roots.
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Multiple Choice

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

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Multiple Choice

What is this formula?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Multiple Choice

Use the quadratic formula to solve 2x² + 2x - 12?

• x = -2, 3

• x = 2, 3

• x = 2, -3

• x = -2, -3

Multiple Choice

Solve using the quadratic formula. $$2x^2-9x-35=0$$  

• $$x=\frac{7}{2},\ x=-6$$  

• $$x=-\frac{5}{2},\ x=5$$  

• $$x=-\frac{3}{7},\ x=6$$  

• $$x=-\frac{5}{2},\ x=7$$  

Multiple Choice

Solve using the Quadratic Formula: #10 $$2x^2+7x-15=0$$  

• $$x=-1.5,\ 5$$  

• No Solution

• $$x=-5,\ 1.5$$  

• $$x=0.7,\ 5$$  

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Multiple Choice

What is the correct order for solving quadratic equations by completing the square.

• 1. Move the constant to the right side.

  2. Factor the perfect square trinomial

  3. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

  4. Write two equations and solve

• 1. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

  2. Move the constant to the right side

  3. Factor the perfect square trinomial

  4. Write two equations and solve

• 1. Move the constant to the right side

  2. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

  3. Factor the perfect square trinomial

  4. Write two equations and solve

• 1. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

  2. Move the constant to the right side

  3. Write two equations and solve

  4. Factor the perfect square trinomial.

Multiple Choice

Step 1 is to move the constant to the right.

Which of the following correctly completes step 1 for the equation

$$x^2-10x-11=0$$  

• $$x^2-10=11$$  

• $$x^2-10x+11=-11$$  

• $$x^2+10x-11=11$$  

• $$x^2-10x=-11$$  

Multiple Select

Step 4 is to write two equations and solve.

Which of the following correctly completes step 4: solve

  $$\left(x-5\right)^2=36$$  

  $$x-5=6\ \ \ \ \ \ \ \ \ \ x-5=-6$$  

Pick two.

•    1

•  

    11

•   -11

• -1 

    

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Multiple Choice

The formula to determine how many solutions a quadratic equation is called the discriminant which is...

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Multiple Choice

How many solutions will this quadratic equation x²+8x+16 have?

• 2 real solutions

• 2 imaginary solution

• 1 solution

• 3 solutions

Multiple Choice

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these