Free Printable 7-4 to 7-5 Review

1.

Give an equation for the graph.

a)

(x - 2)(x + 2)(x + 6)

b)

x(x - 2)(x +2) (x - 6)

c)

(x + 2)(x - 2)(x - 6)

d)

x² + 2x + 6

2.

a)

-17 is an x-intercept

b)

f(17) is an x-intercept

c)

f(17) = 0

d)

-17 is a y-intercept

3.

Give an equation with integer coefficient for f(x) with x intercepts at 8, 3.5, and -2.

a)

f(x) = (x - 8)(x - 3.5)(x + 2)

b)

f(x) = (x + 8) (x + 3.5) (x - 2)

c)

f(x) = 8x³ + 3.5x² - 2x

d)

f(x) = (x - 8)(2x - 7)(x + 2)

4.

When is the function positive?

a)

x < m, p < x < r

b)

m < x < p, r < x

c)

x < n, q < x

d)

n < x < q

5.

When is the function decreasing?

a)

x < m, p < x < r

b)

m < x < p, r < x

c)

x < n, q < x

d)

n < x < q

6.

-2 is a solution to g(x) = x⁴-2x³+2x²+3x-2 = 0. What else do you know based on this information?

a)

g(-2) = 0

b)

-2 is an x-intercept

c)

g(x) divided by x-2 has no remainder

d)

A factor of g(x) is x + 2

7.

Simplify:

\sqrt{-100}

a)

-10

b)

-10i

c)

10

d)

10i

e)

$\pm$ 10i

8.

What is the complex conjugate of 7 + 9i?

a)

7 - 9i

b)

7 + 9i

c)

16i

d)

-2

9.

Simplify:

\sqrt{-20}\cdot\sqrt{5}

a)

$\sqrt{-100}$

b)

-10

c)

-10i

d)

10i

10.

What can you say about the graph of a polynomial if the roots are not real?

a)

There are not any x-intercepts.

b)

The domain is all real numbers.

c)

There is at least one x-intercept.

d)

It opens down.

11.

What would you multiply by in order to express an answer in a + bi form?

\frac{3+i}{5-2i}

a)

$\frac{3-i}{5+2i}$

b)

$\frac{5+2i}{5+2i}$

c)

$\frac{3-i}{3-i}$

d)

$\frac{5+2i}{3-i}$

12.

Simplify:

\left(2+3i\right)-4\left(5-i\right)

a)

-3 + 2i

b)

-18 + 2i

c)

-18 + 7i

d)

-15

13.

Simplify:

\left(4-3i\right)^2

a)

$7-24i$

b)

$25$

c)

$9i^2-24i+16$

d)

$16+9i^2$

7-4 to 7-5 Review

Total questions: 13

Worksheet time: 11mins

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