Free Printable A2CP: Semester 1 Final Exam Review

1.

Solve.

7 + 4x + 4x = 8x + 3 + 4

a)

no solution

b)

all real numbers

c)

7

d)

3

2.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

3.

Solve for x:

-20=\frac{x-3}{6}

a)

$x=-123$

b)

$x=-117$

c)

$x=-\frac{1}{3}$

d)

$x=-29$

4.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

5.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

6.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

7.

What is the equation of this line?

a)

x = 5

b)

y = 5

c)

y = 5x

d)

x = -5

8.

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

a)

y = 6x + 53

b)

y = −6x - 53

c)

y = (−4/5)x + 53

d)

y = −6x + 53

9.

Solve the following system:

y=6x-11

-2x-3y=-7

a)

$\left(2,\ 1\right)$

b)

$\left(1,\ 3\right)$

c)

$\left(2,\ 5\right)$

d)

$\left(3,\ 2\right)$

10.

Solve by elimination
-12x-10y= 0
6x+5y= -1

a)

infinite solutions

b)

(0,0)

c)

no solution

d)

(2,1)

11.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

12.

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

13.

What is the vertex?

a)

(1, -3)

b)

(-1, 3)

c)

(3, -1)

d)

(-3, 1)

14.

What is the axis of symmetry?

a)

x = -1

b)

x = -2

c)

y = -1

d)

y = -2

15.

What is the vertex of this quadratic equation?

y = 2(x - 2)² + 5

a)

(-2,5)

b)

(2,5)

c)

(5,-2)

d)

(-5,-2)

16.

Determine the interval in which this function is INCREASING.

a)

(-4, ∞)

b)

(-3, ∞)

c)

(∞, -3)

d)

(-∞, -4)

17.

Determine the interval in which this function is DECREASING.

a)

(-3, ∞)

b)

(-3, ∞)

c)

(-∞, -4)

d)

(-∞, -3)

18.

What is the range of the function graphed above?

a)

$\left[-2,\infty\right)$

b)

$\left(-\infty,4\right]$

c)

$\left[4,\infty\right)$

d)

$\left(-\infty,-2\right]$

e)

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

19.

What is the correct quadratic function for this parabola?

a)

f(x) = (x - 2) (x - 3)

b)

f(x) = (x + 2) (x - 3)

c)

f(x) = (x - 2) (x + 3)

d)

f(x) (x + 2) (x + 3)

20.

Write the equation of the quadratic function that has a x-intercepts (p and q) at 2 and 4 and passes through the point (3, 4).

a)

y = -4(x - 2)(x - 4)

b)

y = -4(x + 2)(x + 4)

c)

y = 4(x - 2)(x - 4)

d)

y = -0.25(x - 2)(x - 4)

21.

Simplify: √24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

22.

Simplify 3√27

a)

9

b)

9√3

c)

3√9

d)

3

23.

5√-80

a)

20i√5

b)

4i√5

c)

5i√20

d)

4i√5

24.

$Simplify:\ \ \ \ 2i\left(4\ +\ 3i\right)$

a)

$-6\ +\ 8i$

b)

$6\ +\ 8i$

c)

$-6i\ +\ 8i$

d)

$-1\ +\ 8i$

25.

Simplify

(12 - 4i) + (-2 + 8i)

a)

8 + 104i

b)

10 + 4i

c)

14 - 4i

d)

10 - 12i

26.

Solve 2(x + 1)² = 32

a)

x = 4 or x = -4

b)

x = 29 or x = -31

c)

x = 15 or x = -17

d)

x = 3 or x = -5

27.

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

a)

-1, ⅓, ±3i

b)

½, -1, ±3i

c)

1, -1, ±i√11

d)

1, -1, ±3i

28.

Factor and solve.

2x^3+x^2-50x-25=0

a)

$5,\ -5,\ -\frac{1}{2}$

b)

$25,\ -\frac{1}{2}$

c)

$5,\ -5,\ \ \frac{1}{2}$

d)

$5,\ -5,\ -1$

29.

Solve by Factoring:

4x²+16x+15=0

a)

-5/2,-3/2

b)

(2x+5)(2x+3)

c)

-10,-6

d)

5/2, 3/2

30.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

31.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

32.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

33.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

34.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

35.

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

a)

yes

b)

no

36.

Factor completely

x^{4\ }-\ 4x^{2\ }+3

a)

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

b)

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

c)

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

37.

Factor: x⁴ - 144

a)

(x² + 12)(x² - 12)

b)

(x² + 12)(x² + 12)

c)

(x² + 12)(x + 6)(x - 6)

d)

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

38.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

39.

a)

y = x(x - 3)(x - 2)

b)

y = x(x - 3)²(x+2)

c)

y = x(x + 3)²(x - 2)

d)

y = -x(x + 3)²(x - 2)

40.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

41.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

42.

Is the function represented by this graph of an Even or Odd degree? Is the leading coefficient (LC) positive or negative?

a)

Even degree, Positive LC

b)

Odd Degree, Positive LC

c)

Even degree, Negative LC

d)

Odd degree, Negative LC

43.

Pick all statements that apply to this polynomial.

a)

It is an odd degree function.

b)

It is an even degree function.

c)

It has a positive leading coefficient.

d)

It has a negative leading coefficient.

e)

It has 3 real roots.

44.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

45.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

46.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

47.

Solve using the Quadratic Formula:

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

48.

What is the degree of the graphed polynomial?

a)

2

b)

3

c)

4

d)

5

49.

What degree is the graphed polynomial?

a)

Even positive a value

b)

Odd positive a value

c)

Even negative a value

d)

Odd negative a value

50.

How would you describe the point at (0,6)?

a)

Relative Minimum

b)

Absolute Minimum

c)

Relative Maximum

d)

Absolute Maximum

51.

^{Which point is a solution to the system of inequalities?}

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

52.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

53.

Which inequality is shown in the graph?

a)

y < 2x + 1

b)

y < -2x + 1

c)

y ≤ 2x + 1

d)

y ≤ -2x + 1

54.

The graph shows which inequality?

a)

y ≤ 3

b)

y ≥ 3

c)

y > 3

d)

x > 3

55.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

56.

Find the inverse of f(x) = -4x - 12

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

57.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

58.

Are the following inverses of each other?

a)

True

b)

False

59.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

60.

Find f(2)

a)

3

b)

-2

c)

2

d)

infinite outputs

A2CP: Semester 1 Final Exam Review

Total questions: 60

Worksheet time: 4hrs 52mins

Similar Resources on Wayground