Free Printable Quiz 4-1

1.

Find the axis of symmetry for

f(x) = x²- 4x + 5.

a)

x = -2

b)

x = 2

c)

y = 2

d)

y = -2

e)

y= 2x +1

2.

$y=x^2+6x+4$ What are the coordinates of the vertex?

(a)

3.

The parabola y = x² - 4x + 5 will have a vertex, write as a coordinate (x, y)

(a)

4.

What are the coordinates of the vertex? Is it a maximum or a minimum?

a)

(2, 3); minimum

b)

(2, 5); maximum

c)

(2, 3); maximum

d)

(2, -3); minimum

e)

(2, -3); maximum

5.

Find the x-intercepts for the quadratic function: $f\left(x\right)=x^2+5x+6$

a)

(3,0)

b)

(2,0)

c)

(6,0)

d)

(-2,0)

e)

(-3,0)

6.

What are the real roots (solutions) of the quadratic y = 2x²+4x+5

a)

(−1, 3)

b)

(0,5)

c)

(5,0)

d)

(3,-1)

e)

No real roots

7.

Identify the equation for the graph.

Select all correct answers

a)

$y=x^{2\ }-8x+12$

b)

$y=x^{2\ }+6x+2$

c)

$y=\left(x-2\right)\left(x-6\right)$

d)

$y=\left(x+2\right)^{\ }\left(x+6\right)$

e)

$y=x^2+8x+12$

8.

What is the equation for the graph above? Choose all that apply:

a)

$y=x^2+6x+8$

b)

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

c)

$y=\left(x-2\right)\left(x-4\right)$

d)

$y=x^2-6x+8$

e)

$y=\left(x+2\right)\left(x+4\right)$

9.

$x^2-7x-18$

a)

(x+9)(x-2)

b)

(x-9)(x-2)

c)

(x+9)(x+2)

d)

(x-9)(x+2)

10.

$x^2-5x-14$

a)

(x-7)(x+2)

b)

(x+7)(x-2)

c)

(x+7)(x+2)

d)

(x-7)(x-2)

11.

$x^2-9x+8$

a)

(x+2)(x+4)

b)

(x-2)(x-4)

c)

(x-8)(x-1)

d)

(x+1)(x+8)

12.

$x^2-16x+63$

a)

(x-9)(x-7)

b)

(x+9)(x+7)

c)

(x-9)(x+7)

d)

(x+9)(x-7)

13.

$7x^2+9x$

a)

7x(9x)

b)

7x(x+9)

c)

x(7x+9)

d)

7(x+9)

14.

$x^2+x-2$

a)

(x+2)(x+1)

b)

(x-2)(x-1)

c)

(x+2)(x-1)

d)

(x-2)(x+1)

15.

$2x^2+17x+21$

a)

(2x+7)(x+3)

b)

(2x+3)(x+7)

c)

(2x-7)(x-3)

d)

(2x-3)(x-7)

16.

$5x^2-x-18$

a)

(5x-9)(x+2)

b)

(5x+9)(x-2)

c)

(5x-2)(x+9)

d)

(5x+2)(x-9)

17.

$x^2+8x\ -20$

a)

(x+10)(x+2)

b)

(x-10)(x-2)

c)

(x+10)(x-2)

d)

(x-10)(x+2)

18.

$x^2-10x+25$

a)

(x+5)(x+5)

b)

(x-5)(x-5)

c)

(x+5)(x-5)

d)

(x-15)(x+5)

19.

Solve the following quadratic equation by factoring. x²- 9x + 20 = 0

a)

x={-4,5}

b)

x = {-5,-4}

c)

x = {4, 5}

d)

Not factorable

20.

ax²+ bx + c = 0 is the standard form of a quadratic equation.

a)

True

b)

False

21.

Solve the following quadratic equation by factoring.

x²+ 2x - 15 = 0

a)

x = {3, 5}

b)

x = {-3,5}

c)

x = {-5, 3}

d)

x = {-5, -3}

22.

Solve the following quadratic equation by factoring.

x²+ 12x + 35 = 0

a)

x = {-7, -5}

b)

x = {5, 7}

c)

x = {-35 ,-1}

d)

x = {-9 ,-4}

23.

What are the solutions to this equation? (x-3)(x+2) = 0

a)

x = {-2,3}

b)

x = {-3 ,2}

c)

x = {-2, -3}

d)

x = { 2,3}

24.

Solve the following quadratic equation by factoring.

a)

x = {-6 ,-2}

b)

x ={ -2 , 6}

c)

x = {2 , 6}

d)

x = {-6 , 2}

25.

What type of equations always include an x²?

a)

Quadratic

b)

Linear

c)

Exponential

d)

Quartic

26.

Solve

(n +7)(n + 9) = 0

a)

n = {-7 , 4}

b)

n = {-9, 7}

c)

n = {-3 , 10}

d)

n = {-9 , -7}

27.

Solve the following quadratic equation: $x^2-6x-7=0$

a)

$x=\left\{-1,7\right\}\$

b)

$x=\left\{1,7\right\}$

c)

$x=0$

d)

$x=\frac{-7}{5}$

28.

Solve the following quadratic equation by factoring. $2x^2-5x+2=0$

a)

$x=\left\{-2,\ \frac{1}{2}\right\}$

b)

$x=\left\{-4,-1\right\}$

c)

$x=\left\{1,4\right\}$

d)

$x=\left\{\frac{1}{2},2\right\}$

29.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

30.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

31.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

32.

Simplify: $\sqrt[]{50}$

a)

$5\sqrt[]{2}$

b)

$5\sqrt[]{10}$

c)

$10\sqrt[]{5}$

d)

$2\sqrt[]{25}$

33.

Simplify: $\sqrt[]{28}$

a)

$4\sqrt[]{7}$

b)

$2\sqrt[]{7}$

c)

$2\sqrt[]{14}$

d)

$7\sqrt[]{4}$

34.

Simplify: $\sqrt[]{200}$

a)

$10\sqrt[]{2}$

b)

$100\sqrt[]{2}$

c)

$5\sqrt[]{40}$

d)

$10\sqrt[]{20}$

35.

Simplify: $\sqrt[]{144}$

(a)

36.

Simplify: $\sqrt[]{49}$

(a)

37.

Simplify: $\sqrt[]{81}$

(a)

38.

Simplify: $\sqrt[]{64}$

(a)

39.

Simplify:

$-3\sqrt[]{12}$

a)

$-6\sqrt[]{3}$

b)

$-3\sqrt[]{6}$

c)

$-12\sqrt[]{3}$

d)

$6\sqrt[]{3}$

40.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

41.

Simplify: $3\sqrt[]{16}$

a)

12

b)

48

c)

$\sqrt[]{12}$

d)

$3\sqrt[]{4}$

42.

Simplify the following radical: $\sqrt[]{32}$

a)

3√2

b)

4√8

c)

16√2

d)

4√2

43.

Simplify: $2\sqrt[]{16}$

(a)

44.

Solve: $k^2=16$

a)

$k=-4$

b)

$k=4$ and $k=-4$

c)

$k=4$

d)

No solution

45.

Solve: $a^2=4$

a)

$a=2$ and $a=-2$

b)

$a=2$

c)

No solution

d)

$a=-2$

46.

Solve: $x^2+8=28$

a)

No solution

b)

$x=\pm4\sqrt{5}$

c)

$x=\pm6$

d)

$x=\pm2\sqrt{5}$

47.

Solve: $m^2+7=88$

a)

$m=\pm\sqrt{95}$

b)

No solution

c)

$m=\pm9$

d)

$m=\pm2\sqrt{22}$

48.

Solve: $7x^2=-21$

a)

$x=\pm\sqrt{3}$

b)

No solution

c)

$x=\pm2\sqrt{7}$

d)

$x=\pm\sqrt{14}$

49.

Solve: $n^2-5=-4$

a)

$n=1$ and $n=-1$

b)

$n=\pm3$

c)

$n=1$

d)

No solution

50.

Solve: $x^2-1=24$

a)

$x=\pm\sqrt{23}$

b)

No solution

c)

$x=\pm5$

d)

$x=\pm2\sqrt{6}$

51.

Solve: $g^2+1=19$

a)

$g=\pm2\sqrt{5}$

b)

$g=\pm2\sqrt{3}$

c)

No solution

d)

$g=3\sqrt{2}$ and $g=-3\sqrt{2}$

52.

Solve: $4x^2=112$

a)

No solution

b)

$x=\pm2\sqrt{7}$

c)

$x=\pm7\sqrt{2}$

d)

$x=\pm6\sqrt{3}$

53.

Solve: $-7x^2=-63$

a)

$x=\pm3$

b)

$x=\pm2\sqrt{15}$

c)

$x=\pm\sqrt{66}$

d)

No solution

54.

Solve: $p^2-49=0$

a)

No solution

b)

$p=7$

c)

$p=\pm49$

d)

$p=-7$ and $p=7$

55.

Solve: $-3x^2+27=0$

a)

$x=\pm2\sqrt{6}$

b)

$x=\pm\sqrt{30}$

c)

$x=\pm3$

d)

No solution

Quiz 4-1

Total questions: 55

Worksheet time: 5hrs 39mins

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