Free Printable Quiz #7

1.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

2.

(3x²+xy-5y²) +
(2x²-xy+3y²)

a)

5x²-2xy+8y²

b)

5x²-2y²

c)

5x²+2y²

d)

5x²+2xy-8y²

3.

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

4.

How did we transform from y=x²toy = -3x²

a)

reflection in x-axis and vertical shift down

b)

reflection x-axis and vertical stretch

c)

horizontal stretch

d)

reflection x-axis and vertical compression

5.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

6.

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

a)

Reflect, horizontal compress by 1/2, left 9, down 1

b)

Vertical compress by 1/2, left 9, down 1

c)

Horizontal Compress by 1/2, right 9, down 1

d)

Vertical Stretch by 1/2, left 9, down 1

7.

If the blue graph is
f(x) = x²
then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

8.

Match the equation to its description.

a)

Reflected over x and up 4

b)

Reflected over x and down 4

c)

Reflected over x and right 4

d)

Reflected over x and left 4

9.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

10.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

11.

Simplify:
(3x-5) (4x²-2x-3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

12.

Which expression is equivalent to:
(2x²+5x-7)(x-2)?

a)

2x³ - x² + 17x -14

b)

2x³ + 9x² + 3x +14

c)

2x³ + x² + 3x +14

d)

2x³ + x² - 17x +14

13.

1.) Simplify
(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

14.

Simplify (-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

15.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

16.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

17.

Simplify the expression

a)

b)

c)

d)

18.

Simplify the following expression: $\frac{1}{x^{-7}}$

a)

$x^7$

b)

$7x$

c)

$\frac{1}{x^7}$

d)

$-\frac{1}{x^7}$

19.

Rewrite the following expression using a positive exponent: $3a^{-2}$

a)

$-6a$

b)

$\frac{3}{a^2}$

c)

$\frac{1}{-3a^2}$

d)

$\frac{1}{\left(3a\right)^2}$

20.

(xy)⁰

a)

xy

b)

x

c)

1

d)

0

21.

8x + 140 > 4x^{2
hint: put squared term on the LEFT!}

a)

-5 < x < 7

b)

-3 ≤ x ≤ 12

c)

4 < x < 15

d)

-2 < x < 10

22.

Solve the quadratic inequality:

$x^2+11x+10\ge0$

a)

$x\le-10\ ,\ \ x\ge-1$

b)

$x\ge-10\ ,\ \ x\le-1$

c)

$-10\le x\le-1$

d)

$x\le1,\ x\ge10$

23.

Solve the quadratic inequality:

$x^2+10x+16<0$

a)

$2<x<8$

b)

$-8<x<-2$

c)

$-8<x<2$

d)

$-2<x<8$

24.

Which correctly shows the inequality $y\ge-x^2+2x+1$ ?

a)

b)

c)

d)

25.

Which correctly shows the inequality $y<x^2-6x+13$ ?

a)

b)

c)

d)

Quiz #7 - Algebra 2

Total questions: 25

Worksheet time: 6hrs 15mins

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