Free Printable Diagnostic Test in Intermediate Algebra

1.

Which of the following statement is false?

a)

25+(-25)=-50

b)

-25+25=0

c)

25+(-25)=0

d)

(-25)+(-25)=-50

2.

What is the simplified form of (11x¹³)(4x⁷)?

a)

15x²⁰

b)

44x⁹¹

c)

44x²⁰

d)

15x⁹¹

3.

What is the simplified form of $\frac{21x^8}{3x^5}\left(2x^5\right)$ ?

a)

14x⁸

b)

14x¹⁵

c)

7x¹⁵

d)

7x⁸

4.

Which of the following statement is correctly illustrated?

a)

(x⁵)(x²)=x⁵

b)

(x⁵)(x²)=x10

c)

(x⁵)²=x¹⁰

d)

(x⁵)²=x⁷

5.

What is the simplified form of (xy⁴)⁸?

a)

x⁸y⁸

b)

x⁸y³²

c)

x⁸y¹²

d)

xy¹²

6.

What is the simplified form of (j³)(j⁴)(j⁵) ?

a)

j¹²

b)

j²⁴

c)

j⁶⁰

d)

j²⁰

7.

What must be added to x – 8 to obtain 0?

a)

-x-8

b)

-x+8

c)

x+8

d)

x-8

8.

What is the sum of 2x + 5 and 3x + 9?

a)

5x+4

b)

x+4

c)

x-4

d)

5x+14

9.

Which of the following is the difference when 2x²-5x-1 is subtracted from 7x²-4x+8 ?

a)

5x²+x+9

b)

5x²-9x+7

c)

5x²+x-7

d)

5x²-x-7

10.

What is the sum of 5x+10y and 7x+2y?

a)

12x+12y

b)

15x+9y

c)

15xy+9y

d)

7xy+12x

11.

What is the difference of 4x+8 and 2x-5?

a)

6x+13

b)

6x+3

c)

2x+3

d)

2x-3

12.

What is the result of adding 12x²y+10xy and -4xy+5x²y

a)

-7x²y+6xy

b)

17x²y+6xy

c)

7x²y+6xy

d)

-17x²y+6xy

13.

15+(-2)=

(a)

14.

(-11)+(-12)=

(a)

15.

-80+12=

(a)

16.

40-(-10)=

(a)

17.

-41-(-31)=

(a)

18.

(14)(-2)=

(a)

19.

(12)(5)=

(a)

20.

(-11)(-2)=

(a)

21.

$72\div\left(-9\right)=$

(a)

22.

$\left(-120\right)\div\left(-2\right)=$

(a)

23.

What is the sum of 2x and 7x?

a)

9x

b)

5x

c)

14x

d)

9x²

24.

What is the sum of x and y?

a)

xy

b)

x+y

c)

x²

d)

y²

25.

What is the product of x and 0?

a)

0

b)

x

c)

1

d)

y

26.

Which expression is equivalent to $\frac{x^2y^2z^2}{4y^4}$ ?

a)

$4y^6$

b)

$y^6$

c)

$\frac{x^2z^2}{4y^2}$

d)

$4x^2y^6z^2$

27.

Simplify: $4x^5\cdot6x^{10}$

a)

$24x^{15}$

b)

$10x^{15}$

c)

$\sqrt{24x^{15}}$

d)

$\sqrt{10x^{15}}$

28.

Which expression represents the product of $\left(2x^2y^2\right)\left(3x^3y^3\right)$ ?

a)

$6x^6y^6$

b)

$5x^5y^5$

c)

$5x^6y^6$

d)

$6x^5y^5$

29.

Which expression represents the product of $\left(abc\right)\left(3c\right)$ ?

a)

$3abc^3$

b)

$3abc^2$

c)

$4abc^3$

d)

$3c^2$

30.

Simplify: $\frac{x^2y^5}{x^9y^5}$

a)

$x^2$

b)

$\frac{1}{x^2}$

c)

$\frac{1}{x^7}$

d)

$x^7$

Diagnostic Test in Intermediate Algebra

Total questions: 30

Worksheet time: 17mins

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