Free Printable Math 9 2nd Self Learning Assessment

1.

Evaluate $8x^0$

a)

0

b)

8

c)

1

d)

x

2.

a)

$x^{\frac{3}{7}}$

b)

$x^{\frac{7}{3}}$

c)

$\left(x\right)^{\frac{-3}{7}}$

d)

$x^{\frac{-7}{3}}$

3.

If C varies directly as D, and C =12 when D= 3, what is the constant of variation?

a)

4

b)

3

c)

6

d)

15

4.

If N varies inversely as M and N=10, when M=6, find N when M = 5.

a)

12

b)

3

c)

5

d)

8

5.

If k is the constant of variation, which of the ff. represents inverse variation?

a)

y = kxz

b)

y = kx

c)

$y\ =\frac{k}{x}$

d)

$y\ =\ kx^2$

6.

If A varies directly as b. What happens to the value of A if the value of b is doubled?

a)

doubled

b)

tripled

c)

halve

d)

quartered

7.

What type of variation is illustrated by the quantities in the table on top?

a)

Direct

b)

Inverse

c)

Joint

d)

Combined

8.

P is inversely proportional to x and p=9 when x=4, find p when x=12.

a)

$\frac{1}{3}$

b)

9

c)

27

d)

3

9.

Suppose Z varies as jointly as x and y. If z = 16 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

a)

$\frac{2}{32}$

b)

$32$

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

10.

If m is directly proportional to n, the equation must be written as

a)

mn = k

b)

$k\ =\frac{m}{n}$

c)

$m\ =\frac{k}{n}$

d)

none of the above

11.

If a and b are dependent and independent variables respectively, which equation shows inverse
equation?

a)

ab = k

b)

$\frac{a}{b}=k$

c)

$\frac{b}{a}=k$

d)

none of the above

12.

Which equation shows that m is directly proportional as n?

a)

mn = k

b)

m = kn

c)

$n\ =\frac{k}{m}$

d)

none of the above

13.

Simplify the expression $27^{\frac{2}{3}}$ .

a)

3

b)

9

c)

12

d)

54

14.

What is equal to $\left(49x^6y^2\right)^{\frac{1}{2}}$ ?

a)

$7x^3$

b)

$x^3y$

c)

$7x^3y$

d)

$7xy^3$

15.

Rewrite the expression $16^{\frac{3}{4}}$ in radical form.

a)

b)

c)

d)

16.

The area of a triangle (A)varies jointly with its base(b) and height(h). If b=16cm and h = 13 cm, the area is 104cm². What is the area when b = 9cm and h = 12 cm.

a)

0.5 cm²

b)

54 cm²

c)

104 cm²

d)

108 cm²

17.

Jungkook drives a car 4 hours at 50 kilometers per hour (kph) going to SM Southmall. How long will it take him on the same destination if he drives 60 kph?

a)

$r\ =\frac{k}{t}$

b)

$200\ =\ \frac{60}{t}$

c)

$60=\frac{200}{t}$

d)

$60=\frac{t}{200}$

18.

In the expression $\left(-\frac{1}{2}mn\right)^2$ , what is the base?

a)

$-\frac{1}{2}mn\$

b)

m

c)

n

d)

2

19.

What value of n will make the statement TRUE in $\frac{c^3}{c^2}=c^n$ ?

a)

4

b)

3

c)

2

d)

1

20.

If m and n are natural numbers, where m > n and x $\ne$ 0, then $\frac{x^m}{x^n}=\$

a)

$x^{mn\ }$

b)

$x^{m-n}$

c)

$x^{m+n}$

d)

$x^{\frac{m}{n}}$

21.

To divide exponential expressions with nonzero base, keep the base and subtract the ______.

a)

base

b)

exponent

c)

constant

d)

numerical coefficient

22.

What do you call a number which tells how many times its base is to be used as a factor?

a)

base

b)

constant

c)

exponent

d)

coefficient

23.

What is the simplified form of $\left(4^{\frac{1}{2}}5^{-2}6^1100^{-1}\ \frac{3}{4^{-1}}\right)^0?$

a)

0

b)

1

c)

$\frac{36}{625}$

d)

$\frac{144}{2500}$

24.

A process of simplifying a radical expression by making the denominator free of radical.

a)

Factoring

b)

Multiplying

c)

Rationalization

d)

All of the above

25.

Which of the following is TRUE?

a)

$8^{\frac{1}{2}}+\ 8^{\frac{1}{3}}=\ 8^5\$

b)

$\frac{3^{\frac{1}{4}}}{3^{\frac{1}{5}}}=3^{\frac{2}{9}}$

c)

$\left(3^{\frac{1}{3}}\right)^2=3^{\frac{2}{3}}$

d)

$4^{-2}=\frac{-1}{16}$

26.

a)

$6^8$

b)

$6^{\frac{1}{8}}$

c)

$2^{\frac{1}{5}}+4^{\frac{1}{3}}$

d)

$5^{\frac{1}{2}}+3^{\frac{1}{4}}$

27.

Which of the following radical equations will have x = 3 as a solution?

a)

$\sqrt{x}-\ 2\ +\ 3\ =\ 0\$

b)

$\sqrt{4x\ -\ 3}=\ 6-x\$

c)

$\sqrt{x}\ =\ 9\$

d)

$3\sqrt{x}=\ 3\$

28.

a)

0

b)

$12\sqrt{3}$

c)

$\sqrt{3}$

d)

$18$

29.

a)

radicand

b)

index

c)

exponent

d)

radical sign

30.

Which among the given expression has a non perfect radicand ?

a)

$\sqrt{x^2}$

b)

c)

$\sqrt{121}$

d)

31.

Find the root of $\sqrt{\frac{64}{100}}$ in simplest form.

a)

$\frac{32}{50}$

b)

$\frac{8}{100}$

c)

$\frac{8}{10}$

d)

$\frac{4}{5}$

32.

All given expressions are equal except one.

a)

$m^4$

b)

$m^{\frac{1}{4}}$

c)

$\left(m\right)^{\frac{1}{4}}$

d)

33.

a)

radicand

b)

index

c)

exponent of n

d)

exponent of x

34.

Simplify $\frac{\sqrt{2}+\ 5}{\sqrt{2}-1}$ .

a)

$2+6\sqrt{2}$

b)

$7+6\sqrt{2}$

c)

$6+7\sqrt{2}$

d)

$2+6\sqrt{7}$

35.

Solve for the value of x in the equation $\sqrt{x-3}=\ \sqrt{x}\ -\ 3$

a)

4

b)

8

c)

3

d)

$\frac{x}{4}$

36.

A 25 m ladder leans against a building, reaching a point 15 m above the ground. How far is the foot of the ladder from the bottom of the building?

a)

15

b)

25

c)

20

d)

400

37.

One-third of the square root of a number is 3. Find the number.

a)

\frac{1}{3}

b)

1

c)

9

d)

81

38.

a)

1

b)

3

c)

9

d)

27

39.

a)

1

b)

2

c)

5

d)

8

40.

In a radical expression, what is the index if it is not written?

a)

0

b)

1

c)

2

d)

unable to determine

41.

Which of the following expressions is equivalent to $\sqrt{6t}$ ?

a)

$\left(6t\right)^{\frac{1}{2}}$

b)

$6t^{\frac{1}{2}}$

c)

$6^{\frac{1}{2}}t$

d)

$\left(6t\right)^2$

42.

If an expression with rational exponent is rewritten in radical form, what does the base of the given expression become?

a)

radicand

b)

index of the radical

c)

power of the radicand

d)

none of the above

43.

Which of the following statements is NOT true about radical expressions.

a)

The index of the radical determines the root of the radicand.

b)

The index and the exponent of radicand can be interchanged.

c)

Expression with negative rational exponents can be rewritten in radical form.

d)

When changing into radical form, the denominator of rational exponent is also the index of the radical.

44.

Change the expression into radical form: $\left(64a^3b\right)^{\frac{1}{4}}$

a)

b)

c)

d)

45.

a)

$5^{\frac{2}{3}}x$

b)

$5x^{\frac{2}{3}}$

c)

$\left(5x\right)^{\frac{2}{3}}$

d)

$5^{\frac{2}{3}}x^{\frac{2}{3}}$

46.

a)

$-w^4$

b)

$w^{\frac{1}{4}}$

c)

$w^{-\frac{1}{4}}$

d)

$w^{-4}$

47.

Express into radical form: $x^{\frac{2}{3}}y^{-\frac{1}{3}}$

a)

b)

c)

d)

48.

This describes two binomial radical expressions that have the same numbers but only differ in the sign that connects the binomials.

a)

Linear Pair

b)

Conjugate Pair

c)

Similar

d)

Dissimilar

49.

It is describe as a solution that does not satisfy the given equation.

a)

equal

b)

extraneous

c)

good

d)

similar

50.

The simplified form of a radical expression would require all the following conditions except one.

a)

The radicand does not contain a perfect nth root.

b)

The radicand does not contain a fraction.

c)

The denominator of a given fraction does not contain any radical expression.

d)

The order of the radical is the highest possible.

Math 9 2nd Self Learning Assessment

Total questions: 50

Worksheet time: 38mins

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