Free Printable Math 9

1.

Which of the following statements is TRUE about systems of linear equations?

a)

The equations are consistent and independent if the lines intersect at one point and with different slopes.

b)

The equations are consistent and dependent if the lines are parallel and have the same slope but different y-intercepts.

c)

The equations are inconsistent if the lines are perpendicular and have different slopes.

d)

The equations are inconsistent if the lines are coinciding and have the same slope and y-intercept.

2.

What is the solution of the system ?

a)

(1, 2)

b)

(-2, 9)

c)

(1, -2)

d)

(2, -9)

3.

Which of the following statement does NOT describe the system?

a)

The solution of the system is (5, 5)

b)

The system is a consistent indepedent system.

c)

The equations are perpendicular to each other with one solution.

d)

The equations are parallel to each other with no solution.

4.

Which of the following ordered pair is the solution of the given graph?

a)

(4,5)

b)

(-5,-5)

c)

(1,3)

d)

(3,1)

5.

1. The boundary line of an inequality is a broken line and has a slope of 5 and y-intercept 9. The area below the boundary line is shaded. What is the inequality described?

a)

$y\le5x+9$

b)

$y\ge5x+9$

c)

$y<5x+9$

d)

$y>5x+9$

6.

What is the value of y in 3x-2y=5 if x=-1?

a)

-4

b)

4

c)

2

d)

-2

7.

Which equation shows 6x-2y=-4

a)

y = 6x + 2

b)

y = 3x - 2

c)

y = 3x + 2

d)

y = 6x - 2

8.

Mohammad sold a total of 25 loot bags during the school fair. He sold regular loot bags at 5 SAR each and special loot bags at 12 SAR each and earned a total of 209 SAR. Which of the following system represents the situation?

a)

b)

c)

d)

9.

Which ordered pair is NOT a solution of the inequality $x-3y\le5$ ?

a)

(2, 2)

b)

(2, -1)

c)

(3, 1)

d)

(3, -1)

10.

Which of is common to both dependent and inconsistent system?

a)

same y-intercept and slope

b)

same y-intercept

c)

same slop

d)

no solution

11.

Which is the simplified form of 9^-2x^-3y² ?

a)

$\frac{81x^3}{y^2}$

b)

$\frac{x^3}{81y^2}$

c)

$\frac{y^2}{81x^3}$

d)

81x³y2

12.

Which is the simplified form of $\frac{\left(100x^2\right)\left(x^8\right)}{10x^5}$ ?

a)

$\frac{x^2}{10x}$

b)

$10x^5$

c)

$10x^{15}$

d)

$10x$

13.

Which is the simplified form of $\left(27a^6\right)^{-\frac{2}{3}}$ ?

a)

$\frac{1}{9a^4}$

b)

$\frac{1}{27a^4}$

c)

$9a^4$

d)

$27a^{-4}$

14.

Which is the simplified form of $\left(27a^6\right)^{-\frac{4}{3}}$ ?

a)

$81a^8$

b)

$27a^8$

c)

$\frac{1}{81a^8}$

d)

$\frac{1}{27a^8}$

15.

Which is the simplified form of $\left(\sqrt[]{x}\right)^3\left(\sqrt[5]{x}\right)^2$ ?

a)

$x^{\frac{19}{10}}$

b)

$x^{\frac{9}{10}}$

c)

$x^{\frac{10}{19}}$

d)

$x^{19}$

16.

Which is the simplified form of $2a^0b^0\ \cdot\ 5a^3b^2$ ?

a)

$10a^3b^2$

b)

$5a^3b^2$

c)

$2a^0b^0$

d)

$1$

17.

If x = -2, y = 3, and z = 30, what is $x^3y^3z^0$ ?

a)

-6480

b)

6480

c)

216

d)

-216

18.

Which expression is equivalent to $\frac{\left(3a\right)^5}{a^3}$ ?

a)

243a²

b)

243

c)

a²

d)

243a

19.

Which expression is equivalent to $\left(\frac{2a^2}{3b^3}\right)^5$ ?

a)

$\frac{243a^7}{32b^8}$

b)

$\frac{2a^2}{3b^3}$

c)

$\frac{32a^{10}}{243b^{15}}$

d)

$\frac{243a^2}{32b^3}$

20.

Which expression is equivalent to $\left(-3a^2b^{-3}\right)^{-2}$ ?

a)

$\frac{b^6}{9a^4}$

b)

$\frac{b^4}{9a^6}$

c)

$\frac{9a^4}{b^6}$

d)

$9a^4b^6$

21.

There are infinitely many solutions in the system.

a)

FALSE

b)

TRUE

22.

If the system provided is solved using elimination, the variable x eliminated.

a)

TRUE

b)

FALSE

23.

The ordered pair (13, 21) is NOT a solution of an inequality $2x-y\ge20$ ?

a)

TRUE

b)

FALSE

24.

The elimination method in solving systems of linear inequations is appropriately used when he coeffecients of one variable are opposites.

a)

TRUE

b)

FALSE

25.

The graph of is $y\le0$ is a horizontal solid line with a shaded region below the boundary line.

a)

TRUE

b)

FALSE

26.

When we raise a power with another exponent, we subtract the exponents.

a)

TRUE

b)

FALSE

27.

Any nonzero number, variable, or expression raised to zero is equal to zero.

a)

TRUE

b)

FALSE

28.

$\left(-4x^3\right)^2$ is equal to $-16x^6$ .

a)

TRUE

b)

FALSE

29.

$6xy^3\ \cdot\ 3x^2y$ is equivalent to $-18x^3y^4$

a)

TRUE

b)

FALSE

30.

To divide powers with the same base, add the exponents.

a)

TRUE

b)

FALSE

31.

There are two numbers whose sum is 54. One number is twice the other number. What are the two numbers?

a)

18 and 36

b)

2 and 4

c)

9 and 18

d)

12 and 24

32.

There are two numbers whose sum is 36. One number is thrice the other number. What are the two numbers?

a)

6 and 30

b)

6 and 18

c)

9 and 27

d)

3 and 6

33.

The sum of the ages of a mother and a daughter is 50 years. The difference of their ages is 22 years. What is the age of the mother and the age of the daughter?

a)

The mother is 38 years old, and the daughter is 12.

b)

The mother is 36 years old, and the daughter is 14.

c)

The mother is 34 years old, and the daughter is 16.

d)

The mother is 40 years old, and the daughter is 10.

34.

The ticket fee at a cinema is 10 SAR for children and 15 SAR for adults. On a certain day, 125 people entered the cinema, and the tickets collected totaled 1500 SAR. How many children and how many adults were entered?

a)

50 children and 75 adults.

b)

100 children and 25 adults.

c)

75 children and 50 adults.

d)

63 children and 62 adults.

35.

What is the simplified form of $\frac{\left(16a^7\right)\left(3a^{11}\right)}{40^{-20}}$ ?

a)

$\frac{5}{6x^{38}}$

b)

$\frac{6}{5x^{38}}$

c)

$\frac{6x^{38}}{5}$

d)

$30x^{38}$

36.

What is the simplified form of $\frac{4m^{-5}n^{-3}\cdot3m^3n^{-2}}{6m^{-5}n^3}$ ?

a)

$1$

b)

$\frac{2m^3}{n^8}$

c)

$\frac{n^8}{2m^3}$

d)

$2m^3n^8$

Math 9_Exam Reviewer

Total questions: 36

Worksheet time: 35mins

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