Free Printable A2H semester one review game

1.

What is the x-intercept of the line $\frac{1}{2}x\ +\ \frac{3}{5}y=20$ ?

a)

0

b)

12

c)

$\frac{100}{3}$

d)

10

e)

40

2.

Which one of the following functions is even?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

3.

Which one of the following functions is odd?

a)

f(x) = 3x⁴ - 4x³

b)

g(x) = 5x⁴ + 3x²

c)

h(x) = 6x⁵ - x³

d)

k(x) = x⁶ + 8x²

4.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

5.

The function in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

6.

-\frac{2}{3}x\ +\ \frac{1}{2}=\ \frac{1}{3}

a)

-1/4

b)

1/4

c)

1/2

d)

-1/2

7.

Solve for x

a)

x = 10

b)

x = -30/13

c)

x = 6

d)

no solution

8.

a)

All Reals Except 0

b)

All Reals

c)

All Reals Except -3

d)

All Reals Except 0 and -3

9.

Factor: 5x² - 6x - 8

a)

(5x + 1)(x - 8)

b)

(5x + 8)(x - 1)

c)

(5x + 2)(x - 4)

d)

(5x + 4)(x - 2)

10.

Factor
2x² - 13x - 70

a)

(2x-7)(x+10)

b)

(7x+5)(x+2)

c)

(2x+7)(x-10)

d)

2(x+7)(x+10)

11.

Factor

4x²- 25x + 25

a)

4 (x - 5) (x + 5)

b)

(x + 5) (4x + 5)

c)

(x - 5) (4x - 5)

d)

(x + 2) (9x + 1)

12.

8x³ + 27

a)

(3x - 2)(9x² + 6x + 4)

b)

(3x - 1)(9x² + 3x + 1)

c)

(2x + 3)(4x² - 6x + 9)

d)

(2x - 1)(4x² + 2x + 1)

13.

x³ - 64

a)

(x - 4)(x² + 4x + 16)

b)

(x - 3)(x² + 3x + 9)

c)

(x - 5)(x² + 5x + 25)

d)

(x + 4)(x² - 4x + 16)

14.

216x³+125

a)

6(x+5)³

b)

(6x+5)³

c)

(6x+5)(6x²-30x+25)

d)

(6x+5)(36x²-30x+25)

15.

What is the factored form of 5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

16.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

17.

$(x-2)^2=4$

a)

$x=4,\ x=2$

b)

$x=1,\ x=0$

c)

$x=4,\ x=0$

d)

$x=0,\ x=-4$

18.

$2(x+3)^2=18$

a)

$x=0,\ x=6$

b)

$x=0,\ x=-6$

c)

$x=-6,\ x=2$

d)

$x=-1,\ x=6$

19.

Solve By Square Roots:

$5v^2+2=-5$

a)

$\pm\sqrt{\frac{7}{5}}$

b)

$\sqrt{\frac{7}{5}}$

c)

$\pm i\sqrt{\frac{7}{5}}$

d)

$\pm i\sqrt{\frac{3}{5}}$

20.

Solve By Completing the Square:

$p^2-10p-52=0$

a)

$5\pm\sqrt{77}$

b)

$-5\pm\sqrt{77}$

c)

$5\pm77$

d)

$5+i\sqrt{77}$

21.

Solve By Completing the Square:

$x^2+6x+27=0$

a)

$3\pm\sqrt{18}$

b)

$3\pm i\sqrt{18}$

c)

$-3\pm i\sqrt{18}$

d)

$-3\pm\sqrt{18}$

22.

Solve by the Quadratic Formula:

$-12q^2+3q+7=0$

a)

$\frac{-3\pm\sqrt{345}}{24}$

b)

$\frac{3\pm\sqrt{345}}{-24}$

c)

$\frac{3\pm\sqrt{345}}{24}$

d)

$\frac{3\pm i\sqrt{39}}{24}$

23.

Solve for x by taking the Square Root:

(x+6)²= 49

a)

x = 7 and 12

b)

x = ±7

c)

x = 1 and -13

d)

x = 43 and -55

24.

x² + 4x - 16 = 0

a)

b)

c)

d)

25.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t² + 64t + 80.
What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

26.

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4 seconds

b)

-2 seconds

c)

6 seconds

d)

9 seconds

27.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

28.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

29.

(3 + 8i)(-2 - i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

30.

a)

10

b)

-10

c)

10i

d)

-10i

31.

a)

5i

b)

-5i

c)

5+i

d)

-5

32.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

33.

(7-5i)(7+5i)

a)

74

b)

75

c)

74-1

34.

What are the zeros of the function?

a)

4,1

b)

3,1,-2,-5

c)

-3, -1, 2, 5

d)

-2,4

35.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

36.

Is the binomial x - 9 a factor of 4x² -33x -27?

a)

yes

b)

no

37.

x³-3x²-10x+24 ÷ (x+3)

a)

x²-7x+5

b)

x-8

c)

x²-6x+8

d)

x+9

38.

What are the three factors for
(x³ +7x² +7x -15) ÷ (x -1)?

a)

(x-1) (x+5) (x-3)

b)

(x-1) (x+5) (x + 3)

c)

(x+1) (x+5) (x-3)

d)

(x+1) (x-5) (x-3)

39.

Find all the real zeros of the function
f(x) = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

a)

x = 1/2, -6

b)

x = -1/2, 6

c)

x = 4, -1/2, 6

d)

x = -4, 1/2, -6

40.

True or False

When a polynomial equation has the following factors, (x+3)(x+3)(x-2), we say that x = -3 has a multiplicity of 3.

a)

True

b)

False

41.

Solve the following equation. x⁴+4x³ + 3x²= 0

a)

x = 0, x = 3, x = 1

b)

x = -3, x = -1

c)

x = 3, x = 1

d)

x = 0, x = -3, x = -1

42.

Solve the polynomial equation and determine which graph choice is correct.

a)

b)

c)

d)

43.

Solve the equation

a)

20

b)

11

c)

4

d)

-2

44.

Solve the equation

a)

-6

b)

-3

c)

6

d)

15

45.

Solve the equation.

a)

n = 27

b)

n = 18

c)

n = -18

d)

n = 36

46.

Solve

a)

x= -9

b)

x= -2 and 3

c)

x= 5

d)

x= 0

47.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

48.

Solve. (2x-8)^2/3= 4

a)

x = 8, x= 0

b)

x = 8

c)

x = 7, x = -2

d)

no solution

49.

Solve. (6x-3)^2/3 + 6 = 15

a)

x = -5, x = 4

b)

x = 5

c)

x = 5, x = -4

d)

no solution

50.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

51.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

52.

a)

no solution

b)

-6 ≤ r ≥ 8

c)

6 > r > -8

d)

-6 < r < 8

53.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

54.

Based on the end behavior which option best describes the leading term?

a)

negative coefficient, even degree

b)

negative coefficient, odd degree

c)

negative degree, odd coefficient

d)

negative degree, even coefficient

55.

What are the solutions for the polynomial inequality?
$-2x^3+2x^2+4x<0$

a)

$\left(-1,\ 0\right)\cup\left(2,\ \infty\right)$

b)

$\left(-\infty,\ -1\right)\cup\left(0,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(-1,\ 2\right)\cup\left(2,\ \infty\right)$

56.

What are the solutions for the polynomial inequality? $-2\left(x+5\right)\left(x-2\right)\left(x-3\right)\ge0$

a)

$\left(-\infty,-5\right)\cup\left(2,\ 3\right)$

b)

$\left[-5,2\right]\cup\left[3,\infty\right)$

c)

$\left(-\infty,\ -5\right)\cup\left(2,3\right)$

d)

$\left(-\infty,-5\right]\cup\left[2,3\right]$

57.

$\left(3-x\right)\left(x+6\right)\ge0$

a)

$\left(-\infty,-5\right)$

b)

$\left(-\infty,-6\right]\cup\left[3,\infty\right)$

c)

$\left[-6,3\right]$

d)

$\left(-6,3\right)$

58.

a)

Function

b)

Not a Function

59.

f(4) =

a)

1

b)

16

c)

7

d)

undefined

60.

f(3) =

a)

1

b)

9

c)

5

d)

undefined

61.

What is the domain of this function?

a)

(-∞,2]

b)

(-∞,+∞)

c)

[2,-∞)

d)

(-4,2)

62.

What is the range of this function?

a)

(-∞,+∞)

b)

[-3,+∞)

c)

(-∞,3]

d)

(-∞,3)

63.

$\frac{5}{\sqrt{x-2}}$ Choose the domain for which the function is defined.

a)

$x\ne2$

b)

$x<2$

c)

$x>2$

d)

$x\ge2$

64.

$\frac{\sqrt{x-3}}{x+8}$ Choose the domain for which the function is defined.

a)

$x\ne3\ and\ x\le8$

b)

$x\ne3\ and\ x\ge8$

c)

$x\ne8\ and\ x\ge3$

d)

$x\ne-8\ and\ x\ge3$

65.

$\frac{\sqrt{x+4}}{x-3}$ Choose the domain for which the function is defined.

a)

$x\ne4\ and\ x\ \le3$

b)

$x\ne3\ and\ x\ge4$

c)

$x\ne3\ and\ x\ge-4$

d)

$x\ne-4\ and\ x\ge3$

66.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

67.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

68.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

69.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

70.

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

a)

y = x² + 2

b)

y = -x² + 2

c)

y = x² - 2

d)

y = -(x + 2)²

71.

Tell how the function transformed from y =|x|
y = -2|x|

a)

Translated left 2 units

b)

Reflected over x-axis

c)

Stretched vertically and reflected over x-axis

d)

Compressed vertically and reflected over the x-axis

72.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

73.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

74.

What is the equation of the PARENT function?

a)

f(x) = 2^x

b)

f(x) = x³

c)

f(x) = |x|

d)

f(x) = x

75.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

76.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

77.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

a)

6x² + 4

b)

18x²+ 48x + 32

c)

18x² + 32

d)

None of these.

78.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

79.

The inverse has been reflected over which line?

a)

y = x

b)

x = 0

c)

y = 0

d)

x = -y

80.

Which graph represents f^-1(x) over the same domain?

a)

b)

c)

d)

81.

f(x) = -4x - 12

What is f^-1(x)?

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

82.

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

a)

x ≤ 0

b)

x ≥ 0

c)

x ≤ 3

d)

x ≥ 3

83.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

84.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

85.

Find the vertex of

f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

86.

What are the zeros of the function?
f(x) = (x - 3)(x +7)

a)

x = 3 and x = -7

b)

x =-3 and x = 7

c)

x = -21 and x = 10

d)

x = 21 and x = -10

87.

What is the axis of symmetry for this function? f(x) = (x - 10)(x + 6)

a)

x = 10

b)

x = -6

c)

x = 2

d)

x = -2

88.

What is the vertex? f(x) = (2x + 6)(x - 3)

a)

(3, 0)

b)

(-3, 0)

c)

(0, 18)

d)

(0. -18)

A2H semester one review game

Total questions: 88

Worksheet time: 4hrs 11mins

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