Unit 7 Review Independent

• (x - 4)(x + 4)

• 2x(x - 32)

• 2(x - 4)(x + 4)

• 2(x - 4)(x - 4)

• 8x (4x + 6)

• -8x (4x + 6)

• 8x (4x - 6)

• -8x (4x - 6)

• x + 6

• x + 3

• x - 3

Which expression is equivalent to (-2x + 6) (3x - 4) ?​

• (x + 6)

• (x + 5)

• (x - 5)

• (x - 6)

Answer explanation

To solve this problem we will need to find what two numbers multiply to give us -30 and add to give us 1. To do this we will need to know the factors for -30. Remember, to get a negative for multiplication one number will have to be positive, and the other number will be negative. After you list the factors, you will notice the factor pair -5 and 6 will multiply and give you -30, and add to give you 1. That means the factors will be (x + 6) and (x - 5). You can also check your answer by putting the original expression and answers into the calculator. If they give you the same graph then you know you have the correct answer.

Another calculator trick you could use for this problem would be entering the original expression into the calculator. You will see the x-intercepts are -6 and 5. That means x=-6 and x=5. To find the factors we need to make the right side equal to zero. For x=-6 we would add 6 to both sides to get x+6=0, and for x=5 we would subtract 5 from both sides to get x-5=0. That means our factors would be (x+6)(x-5). Once again, if you are not positive always double check your answer to make sure if gives you the same graph as the original expression.

You can also enter the original expression, into your calculator and then enter each factor separately. If they intersect at the same x-intercept as the original expression then that will be one of your factors.

• 6 (n + 3) (n - 3)

• 6 (n - 3) (n -3)

• (6n + 4) (n - 18)

• (6n - 4) (n + 18)

• (x + 3)

• (x - 3)

• (x + 4)

• (x - 4)

Match each quadratic expression in standard form with its equivalent expression in factored form.

• (x + 9) (x + 3)

• (x - 6) (x - 2)

• (x + 9) (x - 5)

• (x - 16) (x + 2)

• (x - 6) (x + 4)

Answer explanation

There are multiply ways to solve this problem.

You could type in the quadratic function and see where the x-intercepts are. Remember whatever the x-intercept is you have to equal it to zero to find the function. For example, if x=3 you would subtract 3 from both sides to get x-3=0. So, your function would be (x-3).

You could also type in each factor pair after typing the quadratic function, and whichever one gives you the same graph is the answer.

You could use the factor pairs to solve for the quadratic function using either the Box Method or FOIL.

You could use the X Method to solve for the quadratic function with the given factor pairs.