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6th Grade Strategies and Vocab Prep

Total questions: 60

Worksheet time: 32mins

Name
Class
Date
1.
When adding integers with different signs, what should you do?
a)

Always add the numbers and keep the positive signr

b)
Add and keep the sign of the larger number
c)

Subtract and keep the sign of the larger number

d)
Always subtract the numbers and keep the negative sign
2.
What is the best strategy for subtracting integers?
a)
Keep the first integer, change subtraction into addition, change the sign of the second integer and go back to adding rules
b)
Always subtract the smaller number from the larger number
c)
Always keep the sign of the first number
d)
Ignore the signs and subtract normally
3.
What is the result of (-6) - (-2)?
a)

8

b)
4
c)
-8
d)

-4

4.
What is the rule for multiplying two integers with different (opposite) signs?
a)

The product is always positive

b)

The product is always negative

c)
The product is always zero
d)
The sign depends on the larger number
5.
Which of the following expressions is equivalent to (-9) - 5?
a)
(-9) + (-5)
b)
(-9) + 5
c)
(-9) - (-5)
d)
(-9) - 5
6.
When dividing two integers with the same sign, what is the result?
a)

Always zero

b)
Always negative
c)

Always positive

d)
Depends on the numbers
7.
Which of the following correctly applies the distributive property?
a)

4 (-3 + 2) = 4 x (-3 - 2)

b)
4 (-3 + 2) = 4 x(-3) - 4 x 2
c)

4 (-3 + 2) = 4 x(-3) + 4 x2

d)
4 (-3 + 2) = 4 x(-3) x2
8.
What is distributive property?
a)
When you multiply the outside to the inside of the parentheses
b)
When you add the outside to the inside of the parentheses
c)
When you subtract the outside to the inside of the parentheses
d)
When you divide the outside to the inside of the parentheses
9.
What is the best strategy for solving (-5) x(-4) x (-2)?
a)

Multiply all numbers at once without considering the signs

b)

Consider the signs, multiply the first two numbers, then multiply by the third number

c)
Ignore the negative signs and find the product normally
d)
Count the negative signs and determine the final sign before multiplying
10.
What is the result of (-18) divided by 3?
a)
-6
b)
6
c)
-15
d)
15
11.
What is the mean of a set of numbers?
a)

The difference between the highest and lowest numbers

b)
The number that appears most often
c)
The number in the middle when the numbers are in order
d)

The average of all the numbers

12.
How do you get the mean of the data set?
a)
Add all of them and divide by how many there are
b)
Subtract the largest and smallest numbers
c)
Put them in order and find the middle
d)
Finding the largest number
13.
What is the median of a set of numbers?
a)

The number that appears most often

b)

The number in the middle when the numbers are in order

c)
The largest number in the list
d)
The total when all numbers are added
14.
What is the mode of a set of numbers?
a)
The number that appears most often
b)
The highest number
c)
The difference between the highest and lowest numbers
d)
The number in the middle
15.
What is the range of a set of numbers?
a)

The smallest number in the data

b)
The number that shows up the most
c)

The difference between the highest and lowest numbers

d)
The average of the numbers
16.
When do you use TIBO (top in bottom out)?
a)
Convert a fraction to a decimal
b)
Multiply and divide integers
c)
Convert a decimal to a fraction
d)
Add and subtract integers
17.
When do you use KCF (Keep change flip)?
a)

Multiplying fractions

b)
Subtracting fractions
c)
Adding fractions
d)

Dividing fractions

18.
When do you use KCC (Keep, change, change)?
a)
Subtracting integers
b)
Adding integers
c)
Multiplying integers
d)
Dividing integers
19.
True or False, the bigger the negative the smaller it is?
a)
True
b)
False
20.
True or Fale, the smaller the negative the smaller it is?
a)

True

b)

False

21.
Opposite of a negative is a
a)
positive
b)
negative
c)
neither
22.
Opposite of a positive is a
a)

positive

b)

negative

c)
neither
23.
What is the absolute value of a number?
a)
The distance of a number from zero on a number line
b)
The number without its decimal part
c)
The number divided by 2
24.
Why is the absolute value of a number always positive?
a)

Because it adds 1 to every number

b)
Because it changes all numbers to zero
c)

Because it measures distance from zero, and distance is always positive

25.
What is the notation of absolute value?
a)
|n|
b)
(n)
c)
{n}
d)
[n]
26.
What is |-9| ?
a)
9
b)
0
c)
-9
d)
1
27.
Which of these statements is true?
a)

|-4| = -4

b)

|-3| < |3|

c)

|-6| > |5|

28.
Which of the following has the greatest absolute value?
a)
-12
b)
5
c)
-3
d)
10
29.
Which of the following is a whole number?
a)

3.5

b)
-5
c)

0

d)
-1.2
30.
What is the definition of a whole number?
a)
Any number that does not have parts, decimal more than zero, and that is not negative
b)
Any number that is not a decimal
c)
Any number greater than zero
31.
Which of the following is an integer?
a)

3.14

b)
2.5
c)

1/2

d)

-3

32.
What is the definition of an integer?
a)
a whole number or its opposite (postive or negative whole numbers)
b)
A number that is positive
c)
A number greater than 1
33.
What is the definition of a rational number?
a)

A number with no decimal

b)

A number that can be written as a fraction or a ratio

c)
A number that cannot be written as a fraction
34.
What is the first step when solving the equation x + 5 = 17?
a)
Subtract 5 from both sides
b)
Multiply both sides by 5
c)
Add 5 to both sides
d)
Divide by 5 from both sides
35.
What is the main difference between solving an equation and solving an inequality?
a)

You never use variables in inequalities

b)

You must flip the inequality sign if you multiply or divide by a negative number

c)
Inequalities have more steps
36.
What is the best strategy to isolate the variable in the inequality -4x > 20?
a)
Divide both sides by -4 and flip the inequality
b)
Add 4 to both sides
c)
Multiply both sides by -4
d)
Subtract 20 from both sides
37.
When solving the equation 5x = 15, what strategy should you use?
a)

Subtract 5 from both sides

b)

Divide both sides by 5

c)
Add 5 to both sides
38.
What is the best strategy to check if your solution to an equation is correct? (For example, after solving x = 5 in the equation 2x + 3 = 13)
a)
Plug the solution to the the original equation to see if both sides are equal
b)
Plug the solution into a different equation
c)
Multiply the variable by itself to see if it matches the answer
39.
Is x = 7 a solution to the equation x - 5 = 3?
a)

Yes, because 5 + 2 = 7

b)
Yes, because 7 - 5 = 3
c)

No, because 7 - 5 = 2

40.
Is x = 5 a solution to the equation x + 14 = 19?
a)
Yes, because 5 + 14 = 19
b)
No, because 5 + 4 = 9
c)
Yes, because 12 - 4 = 8
d)
No, because 5 - 4 = 1
41.
What is the total sum of the interior angles in any triangle?
a)

270°

b)
90°
c)

180°

d)
360°
42.
If two angles of a triangle are 45° and 65°, what is the measure of the missing angle?
a)
70°
b)
80°
c)
60°
d)
90°
43.
How do you figure out if the side lengths form a triangle?
a)

Multiply the shortest side by the longest side and compare it to the middle side

b)
Add all three sides and divide by 2
c)

Add each of the two sides and check if their sum is greater than the other

44.
Which of the following sets of side lengths can form a triangle?
a)
3,4,5
b)
2,2,5
c)
1,3,1
d)
5,7,1
45.
Which of the following sets of side lengths can form a triangle?
a)

2, 8, 11

b)

9, 3, 6

c)

6, 2, 4

d)

7, 10, 5

46.
Do these side lengths form a triangle: 6 cm, 8 cm, 14 cm?
a)
No
b)
Yes
47.
In a triangle, the side opposite the largest angle is:
a)

The shortest side

b)

The largest side

c)
The same length as all others
48.
A triangle has angles of 40°, 60°, and 80°. Which side is the longest?
a)
Side opposite the 80° angle
b)
Side opposite the 40° angle
c)
Side opposite the 60° angle
49.
What is the order of operations?
a)

ASAP

b)
NASA
c)

PEMDAS

50.
What does the acronym PEMDAS stand for?
a)

Parentheses, Exponents, Multiply, Divide, Average, Subtract

b)
Parentheses, Equations, Multiply, Divide, Add, Subtract
c)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

d)
Parentheses, Exponents, Multiply, Deduct, Add, Sum
51.
What is the value of this expression? 8 + 2 x 3
a)
14
b)
30
c)
24
d)
18
52.

Which operation should be done first in this expression? (5 + 3) x 2 - 4

a)
Add 5 and 3
b)
Multiply 3 and 2
c)
Subtract 4 from 2
d)

Multiply 5 and 2

53.
What is an exponent?
a)
A number that shows how many times to multiply a base by itself
b)
A number that tells how many times to subtract
c)
A symbol that means to divide numbers
54.
What does 2^3 mean?
a)

2 + 3 = 5

b)
2 x 3 = 6
c)

2 x 2 x 2 = 8

d)
3 x 3 = 9
55.
In the expression 5^2, which part is the exponent?
a)

5

b)

2

c)
both
d)
neither
56.

Penny and her cousins each have a different bank balance. What is the sum of all the accounts?

a)

-3

b)

7

c)

-2

d)

4

57.

Joseph played a card game and was dealt the cards shown above. His score will be the sum of the cards. What is Joseph's score?

a)

5

b)

-5

c)

8

d)

-8

58.
a)
A
b)
B
c)
C
d)
D
59.

Which quadrant is (-5, 2) located?

a)

QI

b)

QII

c)

QIII

d)

QIV

60.

Which quadrant is (7, -4) located?

a)

QI

b)

QII

c)

QIII

d)

QIV

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