Free Printable A2 Mixed Review Quadratics

1.

What is the axis of symmetry of y=2x²-4x+9?

a)

x=1

b)

x=-2

c)

x=-1

d)

x=4

2.

The axis of symmetry passes through which point?

a)

y intercept

b)

any random point

c)

vertex

d)

none of these

3.

What are the x intercepts of the following graph?

a)

x= 0 and x = -4

b)

y= 0

c)

x = 2

d)

x = 0 and x= 4

4.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

5.

Solve
x² + 9x + 20 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

6.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

7.

Identify the domain and range of the function.

a)

Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5

b)

Domain: All real number
Range: -3 ≤ y ≤ 5

c)

Domain: All real numbers
Range: y ≥ -3

d)

Domain: All real number
Range: y ≤ -3

8.

What is the range for the function below?

a)

y ≤ 4

b)

y ≥ 4

c)

All real numbers

d)

-3 ≤ y ≤ 1

9.

Factor Completely:
3x⁵ - 27x³

a)

3(x³ - 3)(x²+ 3)

b)

prime

c)

3x³(x² - 9)

d)

3x³(x - 3)(x + 3)

10.

Factor Completely:
2x² - 2x - 6

a)

2(x + 3)(x - 1)

b)

2(x + 2)(x - 3)

c)

2(x² - x - 3)

d)

2(x² - 2x - 6)

11.

Factor completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

12.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

13.

What is the factored form of 4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

14.

Factoring completely. $12x^3-32x^2+6x-16$

a)

$2\left(2x^2+1\right)\left(3x-8\right)$

b)

$2\left(2x^2-1\right)\left(3x+8\right)$

c)

$\left(2x^2+1\right)\left(3x-8\right)$

d)

$\left(2x^2-1\right)\left(3x+8\right)$

15.

Factor completely. $6x^4+4x^3-6x^2-4x$

a)

$2x\left(x+1\right)\left(x-1\right)\left(3x-2\right)$

b)

$2x\left(x^2-1\right)\left(3x+2\right)$

c)

$2x\left(x+1\right)\left(x-1\right)\left(3x+2\right)$

d)

$2x\left(x^2-1\right)\left(3x-2\right)$

16.

Solve:

2x² + 5x ≥ 12

a)

[-4, 1.5]

b)

(−∞, -4) U (1.5, ∞)

c)

(−∞, -4] U [1.5, ∞)

d)

no solution

17.

6x² - 54 ≤ 0

a)

-3 ≤ x ≤ 3

b)

x ≤ -3 or x ≥ 3

c)

-3 < x < 3

d)

x < -3 or x > 3

18.

How do I find…

The time it takes to get to the highest point?

a)

Find the x-value using the axis of symmetry

b)

Find the axis of symmetry and substitute it into the equation

c)

Find the y-intercept

d)

Find the x-intercepts and choose positive value

19.

How do I find…

When an object hits the ground?

a)

Find the x-value using the axis of symmetry

b)

Find the axis of symmetry and substitute it into the equation

c)

Find the y-intercept

d)

Find the x-intercepts and choose positive value

20.

How do I find…

The starting point of an object that is dropped?

a)

Find the x-value using the axis of symmetry

b)

Find the axis of symmetry and substitute it into the equation

c)

Find the y-intercept

d)

Find the x-intercepts and choose positive value

A2 Mixed Review Quadratics

Total questions: 20

Worksheet time: 3600secs

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