Free Printable CM: Final exam 2nd Sem.

1.

Simplify

$\sqrt[3]{-54x^5y^2z^5}$

2.

$\sqrt[3]{24\ }+5\sqrt[3]{3}$

Simplify, then add

3.

$\sqrt{48x^7y^3z^4}$

Simplify

4.

Simplify
$-2\sqrt[]{2}-3\sqrt[]{8}-\sqrt[]{5}$

5.

$4\sqrt[3]{16x}+5\sqrt[]{2x}-3\sqrt[3]{54x}$

Simplify, then add/subtract

6.

Simplify, then add
$\sqrt[]{300}+\sqrt[]{75}$

7.

$\sqrt[3]{16}-\sqrt[3]{250}$

8.

$2\sqrt{30x^3}\cdot7\sqrt{6x^5}$

9.

Simplify the following expression:
$\sqrt[]{4}\left(\sqrt[]{5}-3\sqrt[]{4}\right)$

10.

$\frac{2\sqrt{20}}{5\sqrt{36}}$

11.

Divide and simplify. Assume that all variables are positive.

12.

Multiply, if possible. Then simplify.

(a)

13.

Solve for x.

$-3\sqrt[\ ]{x-2}+1=-11$

(a)

14.

$\sqrt{2x+8}+13\ =1$

(a)

15.

$\sqrt{3k-11}=\sqrt{5-k}$

(a)

16.

solve for x, write your final answer as a simplified fraction:

$3\left(4-x\right)=10-2\left(3x+1\right)$

17.

$\frac{5}{12}x-\frac{3}{4}=\frac{7}{6}-\frac{2}{9}x$

(a)

18.

$\frac{3x-1}{2}-\frac{x-2}{3}=6$

(a)

19.

Simplify the expression

20.

Simplify the expression

21.

22.

$\frac{\left(x+9\right)\left(x+8\right)}{8}\cdot\frac{\left(x-1\right)}{\left(x+8\right)\left(x-1\right)}$

23.

Multiply & Simplify:
$\frac{x^3-9x}{x^2+10x+21}\cdot\frac{x^2+7x}{x^2+5x-24}$

24.

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

25.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

(a)

26.

Solve for x

(a)

27.

Solve the equation for x.

(a)

28.

Solve using the quadratic formula :

x² - 7x + 12 = 0

a)

x = -3

b)

x = 4

c)

x = 3

d)

x = -4

29.

Solve using the quadratic formula...

9x² = 4 + 7x

30.

Solve by completing the square.
$x^2-8x-14=0$

a)

$x=\left\{\pm\sqrt{30}+4\right\}$

b)

$x=\left\{\pm\sqrt{4}+30\right\}$

c)

$x=\left\{\sqrt{30}+4\right\}$

d)

$x=\left\{\sqrt{30}-4\right\}$

31.

Solve by completing the square

$-18-23x=-4x^2-9x$

a)

$\left\{3,-4\right\}$

b)

$\left\{\frac{9}{2},-1\right\}$

c)

$\left\{\frac{2+i\sqrt{491}}{11},\frac{2-i\sqrt{491}}{11}\right\}$

d)

$\left\{\frac{19+i\sqrt{103}}{2},\frac{19-i\sqrt{103}}{2}\right\}$

32.

Solve by taking square roots:

k² - 6 = -50

33.

Solve by taking square roots.

2x² - 8 =100

34.

$\sqrt{45x^4y^7}$

35.

Simplify

$\sqrt[]{343k^4}$

36.

Which factorization below is the complete factorization of the trinomial: $5x^2+10x-15?$

37.

Factor completely.
3x² + 10x - 8

(a)

38.

Factor by grouping:

$4z^3+8z^2+3z+6$

39.

Which of the following would be part of the factored form of $x^3-2x^2+5x+10$ ?

Solve by grouping

a)

$\left(x-2\right)$

b)

$\left(x+2\right)$

c)

$\left(x^2+5\right)$

d)

$\left(x^2-5\right)$

40.

What is the value of the coefficient?
−3x+6

(a)

41.

Classify:
2x⁴+14x³−2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

42.

Classify:
6x³+3x²+2x−4

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

43.

Simplify

(2a²b⁴z)(6a³b²z⁵)

44.

Simplify

$\frac{x^{-7}}{x^4}$

45.

$\frac{24x^6}{12x^{-8}}$

46.

Now, let's find the solution to the system.

2x + 3y = 12

4x - 7y = - 54

(a)

47.

What is the Surface Area of the figure?

(a)

48.

If the area of a triangle is 48 cm² and the base of the triangle is 12 cm, what is the height?

(a)

49.

At a restaurant, you pay $20 on dinner.
In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip.
How much change will you get back if you give the waiter $25.00?

(a)

50.

Write the equation of the line that passes through the points
(3, 3) and (4, -1).

51.

Solve.
6 - 2|m -3| > -4

a)

-8 < m < 2

b)

m < -8 or m > 2

c)

m < -2 or m > 8

d)

-2 < m < 8

52.

Solve.
3|2d + 9| + 13 = 10

a)

d = 5 or d = -1

b)

d = -4 or d = 5

c)

d = 4 or d = -5

d)

no solution

53.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

54.

Select the two lines that are parallel.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are parallel.

55.

Select the two lines that are perpendicular.

a)

$2x+6y=-3$

b)

$-1.5y+4.5x=6$

c)

$y=-4x+1$

d)

None are perpendicular.

56.

What is the equation of the line in standard form?

57.

Write an inequality for Graph 2.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

58.

Solve for x.

(a)

59.

What is the value of x?

(a)

60.

Which angles are vertical?

a)

<AXC & <EXD

b)

<AXG & <CXF

c)

<AXB & < CXA

d)

<EXG & <FXD

CM: Final exam 2nd Sem.

Total questions: 60

Worksheet time: 2hrs 57mins

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