Quiz about Question Bank for Grade 9 Mathematics

Question 1

Select the irrational numbers

Accepted Answer

$$\sqrt{50}$$

Accepted Answer

$$\pi$$

Answer

2

Answer

2.3454128904

Question 2

A rational number can be written as a fraction.

Accepted Answer

true

Answer

false

Question 3

includes integers, fractions, terminating and repeating decimals.

Accepted Answer

Rational Numbers

Answer

Irrational Numbers

Question 4

.141414141414...

Accepted Answer

Rational

Answer

Irrational

Question 5

What is a rational number ?

Accepted Answer

A rational number is a number that can be written as a ratio.

Answer

A rational number  is a number that cannot be written as a fraction.

Answer

A rational number cannot be a repeating  decimal.

Question 6

Which number is an irrational number?

Accepted Answer

5.72314.....

Answer

2.5

Answer

-17

Answer

1/2

Question 7

$$\sqrt[]{\frac{4}{25}}$$

Accepted Answer

rational

Answer

irrational

Question 8

When you add two rational numbers, the sum is...

Accepted Answer

always rational

Answer

sometimes rational, sometimes irrational

Answer

always irrational

Answer

never rational

Question 9

When you multiply two rational numbers, the product is...

Accepted Answer

always rational

Answer

sometimes rational, sometimes irrational

Answer

always irrational

Answer

never rational

Question 10

When you add a rational number and irrational number, the sum is...

Accepted Answer

always irrational

Answer

always rational

Answer

sometimes rational, sometimes irrational

Question 11

When you multiply a rational (non-zero) number and irrational number, the product is...

Accepted Answer

always irrational

Answer

always rational

Answer

sometimes rational, sometimes irrational

Question 12

What is the following a model of?

Accepted Answer

a rational number plus an irrational number

Answer

the sum of two irrational numbers

Answer

the sum of two rational numbers

Answer

the product of two irrational numbers

Question 13

Which of the following statements is always true?

Accepted Answer

all whole numbers are integers

Answer

All integers are whole numbers

Answer

all rational numbers are integers

Answer

some whole numbers are not rational numbers

Question 14

Which of the following could be a rational number?

Accepted Answer

the product of two irrational numbers

Answer

the sum of two irrational numbers

Answer

the sum of a rational number and an irrational number

Answer

the product of a rational number and an irrational number

Question 15

What is the slope of the equation?
y=-2x-1

Accepted Answer

-2

Answer

2

Answer

-1

Answer

1

Question 16

y = 1/2x - 1

Accepted Answer

slope: 1/2   y-intercept:  -1

Answer

slope: 2/1   y-intercept:  -1

Answer

slope: 3   y-intercept:  -3

Answer

slope: 2  y-intercept:  5

Question 17

Find the slope of the line.

Accepted Answer

1/2

Answer

-1/2

Answer

2

Answer

-2

Question 18

Y-intercept is where the line ______________.

Accepted Answer

crosses the y-axis

Answer

begins

Answer

crosses the x-axis

Answer

ends

Question 19

When you graph a line using slope-intercept form, you plot the  ___________ first and then the ___________.

Accepted Answer

y-intercept; slope

Answer

origin; slope

Answer

slope; y-intercept

Answer

y-intercept; x-intercept

Question 20

Which equation matches the graph?

Accepted Answer

y = 1/4 x + 2

Answer

y = 2x

Answer

y = 1x + 4

Answer

y = -2x

Question 21

Which of these represents slope-intercept form?

Accepted Answer

y = mx + b

Answer

y - y₁ = m(x-x₁)

Answer

Ax + By = C

Question 22

Write the equation of the line.

Accepted Answer

y= -3x-3

Answer

y= -1x-3

Answer

y= -3x-1

Answer

y=(-1/3)x-1

Question 23

Which is the graph of y= -x + 2?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 24

Solve for y:
y + 2 = 3x

Accepted Answer

y= 3x -2

Answer

y = 2x + 3

Answer

y= 3x +2

Answer

y= 6x

Question 25

What does "product" mean?

Accepted Answer

Multiply

Answer

Divide

Answer

Add

Answer

Subract

Question 26

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

Accepted Answer

4m - 8

Answer

8 - 4m

Answer

8m - 4

Answer

8m + 4

Question 27

Write an algebraic expression for:
three times a number plus 16

Accepted Answer

3n+16

Answer

3(16)+n

Answer

16n+3

Question 28

What does "difference" mean?

Accepted Answer

subtract

Answer

add

Answer

multiply

Answer

divide

Question 29

Translate the sentence into an equation.
Seven subtracted from n is 18

Accepted Answer

n - 7 = 18

Answer

n + 7 = 18

Answer

7 - n = 18

Answer

n + 7 = 18n

Question 30

Translate the sentence into an equation:
Four more than six times a number is 18.

Accepted Answer

6x + 4 = 18

Answer

4 + 6x = 18

Answer

4x + 6 = 18

Answer

not enough info

Question 31

Translate: two times the sum of a number and five

Accepted Answer

2(y + 5)

Answer

2 + y + 5

Answer

2y + 5

Answer

2 - y + 5

Question 32

m plus the product of 6 and n

Accepted Answer

m + 6n

Answer

m - 6 + n

Answer

6m + n

Answer

m + 6 + n

Question 33

4 less than x

Accepted Answer

x - 4

Answer

4 - x

Answer

4x

Answer

-4x

Question 34

Translate: Six fewer than twice a number is four.

Accepted Answer

2x - 6 = 4

Answer

6 - 2x = 4

Answer

x² - 6 = 4

Answer

6 - x² = 4

Question 35

Which graph matches the inequality
k < 3?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 36

Which graph matches the inequality
2 > p?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 37

Which inequality matches the graph?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 38

Factor
d² - 10d + 25

Accepted Answer

(d - 5) (d - 5)

Answer

(d + 5) (d - 5)

Answer

(d - 15) (d + 10)

Answer

(d + 5) (d - 20)

Question 39

Factor:x²- 25

Accepted Answer

( x + 5 ) ( x - 5 )

Answer

( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x + 5 )

Answer

Prime

Question 40

Factor completely: 2x²+22x+60

Accepted Answer

2(x+5)(x+6)

Answer

(2x+10)(x+6)

Answer

(x+5)(x+6)

Answer

2(x+1)(x+30)

Question 41

What are the factors of
25x² - 81?

Accepted Answer

(5x - 9)(5x + 9)

Answer

(5x - 9)(5x - 9)

Answer

(5x + 9)(5x + 9)

Answer

Cannot be factored

Question 42

What is the first step when factoring polynomials?

Accepted Answer

Find the GCF

Answer

List all the terms

Answer

Make the X and fill in the top and bottom

Answer

Multiply a and c

Question 43

What is the GCF of 18xy and 12x

Accepted Answer

6x

Answer

3

Answer

3x

Answer

2x

Question 44

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

Accepted Answer

2 ( 3x + 5 ) ( 3x - 5 )

Answer

2 ( 9x² - 25 )

Answer

( 3x + 5 ) ( 3x - 5 )

Answer

2 ( 3x - 5 ) ( 3x - 5 )

Question 45

We can't factor using difference of two square this

49x² + 4y². Why?

Accepted Answer

Because we can't factor using difference of two squares if it is addition sign.

Answer

Because 4 is not a perfect cubed number.

Answer

Because 4 is not a perfect squared number.

Answer

Because 49 is not a perfect squared number.

Question 46

Which of these can factor using difference of two squares?

Accepted Answer

144x² - 49y²

Answer

x² + 4x - 12

Answer

100x² + 20x + 1

Answer

14x - 16

Question 47

Factor
d² - 10d + 25

Accepted Answer

(d - 5) (d - 5)

Answer

(d + 5) (d - 5)

Answer

(d - 15) (d + 10)

Answer

(d + 5) (d - 20)

Question 48

What do you do to the b value to correctly complete the square?

Accepted Answer

divide it by 2 and square the result

Answer

square it

Answer

divide it by 2 and take the square root of the result

Answer

divide it by 2 only

Question 49

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

Accepted Answer

the -4x

Answer

the 9

Answer

the x2

Question 50

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

Accepted Answer

2

Answer

4

Answer

8

Answer

20

Question 51

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

Accepted Answer

16

Answer

4

Answer

64

Answer

-16

Question 52

What value of c would make this a perfect square trinomial?
x² + 2x + c

Accepted Answer

1

Answer

2

Answer

4

Answer

-2

Question 53

Complete the Square
x² + 6x = 5

Accepted Answer

(x + 3)² = 14

Answer

(x + 3)² = 5

Answer

(x + 6)² = 9

Answer

(x + 6)² = 14

Question 54

Complete the square.
x² + 6x + ____

Accepted Answer

x² + 6x + 9

Answer

x² + 6x - 36

Answer

x² + 6x + 36

Answer

x² + 6x - 9

Question 55

Complete the square for
x² + 12x + ____

Accepted Answer

x² + 12x + 36

Answer

x² + 12x + 144

Answer

x² + 12x - 36

Answer

x² + +12x - 144

Question 56

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

Accepted Answer

(x-9)2

Answer

(x-18)2

Answer

(x+81)2

Answer

(x+9)2

Question 57

Complete the square.
x² + 14x + ____

Accepted Answer

x² + 14x + 49

Answer

x² + 14x - 196

Answer

x² + 14x - 49

Answer

x² + 14x + 196

Question 58

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 59

Give the solution to the system.

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

(1, -3)

Question 60

What is the solution to the system of equations?

Accepted Answer

(-3, 1)

Answer

(1, -3)

Answer

(3, -1)

Answer

(-1, 3)

Question 61

What is the solution to the system?

Accepted Answer

(3, -1)

Answer

(-1, 3)

Answer

(-3, 1)

Answer

(-3, -1)

Question 62

What is the solution to the system of equations?

Accepted Answer

(-2, -2)

Answer

(2, -2)

Answer

(2, 2)

Answer

No Solution

Question 63

How many solutions does this system of equations have?

Accepted Answer

Infinite Solutions

Answer

One Solution

Answer

No solution

Question 64

Determine how many solutions this system has.

Accepted Answer

No solution

Answer

One Solution

Answer

Infinitely Many Solutions

Answer

What is a solution?

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