Free Printable College Prep Math REVIEW for Final Exam

1.

Simplify the following by reducing to lowest terms. 56/98

a)

4/7

b)

7/8

c)

8/7

d)

5/7

2.

Reduce the rational expression to lowest terms. $\frac{7\left(x+2\right)}{8\left(x+2\right)}$

a)

x+2

b)

1

c)

$\frac{7}{8}$

3.

When multiplying fractions, do you need to find a common denominator first?

a)

No

b)

Yes

4.

Find the sum. 8/5 - 3/5 + 2/5

a)

13/5

b)

7/5

c)

3/5

5.

Add. 4/(x-2) + 5/(x-2)

a)

9/(x-2)

b)

8/(x-2)

c)

1/(x-2)

6.

Rational expressions (fractions) need to have common denominators in order to be added or subtracted.

a)

False

b)

True

7.

At a university, 600 professors are responsible for teaching 60,000 students. What is the ratio of professors to students?

a)

1:100

b)

1:10

c)

Cannot be determined

8.

Solve the following proportion: 8/12 = x/9

a)

x=6

b)

x=10

c)

x=18

9.

3/5 written as a percent is 60%.

a)

True

b)

False

10.

If a system of linear equations has no solution, what does this indicate about the two lines?

a)

Coincident lines

b)

Intersecting lines

c)

Parallel lines

11.

How many solutions does this system of linear equations have?

a)

One solution

b)

No solution

c)

Many solutions

12.

How many solutions does this system of linear equations have?

a)

None

b)

One solution

c)

Many solutions

13.

Simplify √49

a)

√7

b)

7

c)

3√7

d)

can't simplify

14.

Simplify 4√2 + 7√2

a)

√4

b)

11√2

c)

8√2

d)

√2

15.

Solve the equation √x + 4 = 10

a)

x = 36

b)

x = 196

c)

x = 84

d)

x = 100

16.

Solve by finding square roots and simplify completely: 3x² = 27

a)

x = ±9

b)

No real solutions

c)

x = ±3

d)

x = 3

17.

Solve by finding square roots and simplify completely: $x^2 - 25 = 0$

a)

x = 5

b)

No real solutions

c)

x = ±25

d)

x = ±5

18.

Solve by factoring: $x^2 - 7x + 12 = 0$

a)

No real solutions

b)

x = 3 or x = 4

c)

x = -3 or x = -4

d)

x = ±√12

19.

Solve using the Quadratic Formula: $x^2 - 3x - 10 = 0$

a)

x = 5 or x = -2

b)

x = 2 or x = 5

c)

No real solutions

d)

x = -5 or x = 2

20.

Find the missing value "c" to complete the square:

$x^2$ -8x + ?

a)

16

b)

-16

c)

64

d)

8

21.

What is the first step to solve this quadratic equation by completing the square? $x^2 + 8x - 20 = 0$

a)

Set the equation equal to zero

b)

Add 20 to both sides

c)

Divide 8 by 2 and add the result to both side

22.

According to exponent rules, when we divide the same base we ______ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

23.

Simplify: $3y^4 \cdot 5y^7$

a)

$8y^{11}$

b)

$15y^{11}$

c)

$15y^{28}$

d)

$8y^{28}$

24.

Which expression represents the product of $(4x^2y)(5x^4y^3)$ ?

a)

$20x^6y^4$

b)

$9x^6y^4$

c)

$20x^8y^3$

d)

$9x^8y^4$

25.

Simplify: $(x^5)^{-3}$

a)

$x^{15}$

b)

$\frac{1}{x^{15}}$

c)

$x^{-8}$

College Prep Math REVIEW for Final Exam

Total questions: 25

Worksheet time: 13mins

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