WorksheetsPacket 7th grade Midterm 2023
Total questions: 200
Worksheet time: 5hrs 21mins
0.0088 to 8.8 x 103
1001
in scientific notation?
8.317 x 106
in standard form?
(2.1×102) × (3.0×104)
(6 x 106) / (2 x 103)
(9 x 10-6) divided by (3 x 10-3)
(2.2 x 10 4) x (7.1x 10 5)
1, 2, 3, 4, 5,......
even numbers
odd numbers
prime numbers
natural numbers
0, 1, 2, 3, 4, 5,....
natural numbers
even numbers
whole numbers
prime numbers
....-2, -1, 0, 1 ,2 , 3,.....
even numbers
irrational numbers
rational numbers
integers
1/4, 0.7, 2.5, 4/5
irrational numbers
rational numbers
integers
odd numbers
2 , 5 , 0.35451305... , π
rational numbers
even numbers
irrational numbers
prime numbers
1, 3, 5, 7, 11, 13
composite numbers
prime numbers
even numbers
integers
i, 2+3i , −1
composite numbers
irrational numbers
prime numbers
complex numbers
4, 12, 25, 9, 50
prime numbers
composite numbers
rational numbers
even numbers
0 , 1, 1, 2, 3, 5, 8, 13, 21, ....
Natural Numbers
Fibonacci Numbers
Wilson's Numbers
Counting Numbers
0, 1, ,3 ,6, 10, 15, 21, ...
Fibonacci Numbers
Composite Numbers
Triangular numbers
Prime umbers
1, 8, 27, 64, ....
Fibonacci Numbers
Triangular numbers
Cube Numbers
Square Numbers
- √100
√ 24
7/8
-17.84
-10
TRUE OR FALSE?
0.8 is a rational number.
True
False
√3 is...
rational
irrational
A decimal that stops is which type of number?
Example: 2.75
Rational
Irrational
How would 0.333333333 be classified?
rational only
whole
only integer
integer and rational
√16
Is the following number rational or irrational?
-4.9
Rational
Irrational
Which set do I belong to?
(¼, ⅔, ⅜, 0.5, 0.48, 0.8̅)
Natural Numbers
Rational Numbers
Whole Numbers
Integers
Irrational Numbers
In Amalie's home town, the ratio of cars to people is 420 to 1000. What fraction shows this ratio in simplest form?
10021
5021
2521
1000420
Write the ratio 2 : 12 in two other forms.
212 and 2:12
122 and 12:2
212 and 12:2
122 and 2:12
Write the ratio in simplest form 45 : 20
5:4
9:5
9:4
7:4
Cindy and Sarah were in charge of selling tickets to the class play. Cindy sold 21 tickets and Sarah sold 77 tickets. What is the ratio of the number of tickets Cindy sold to the number of tickets Sarah sold?
12 to 77
21:77
3 to 7
7:11
Use the table to write the ratio of green beans to peas.
29:13
31:29
29:31
31:13
Use the table to write the ratio of peas to carrots
19:5
19:33
19:33
23:5
Find the unit rate 582 km in 6 h
1 hr97 km
1 hr99 km
1 hr95 km
1 hr101 km
Find the unit rate $6.80 for 9 muffins
1 muffin0.76 cents
1 muffin0.96 cents
1 muffin0.56 cents
Find the unit rate 413 km in 7 hours
1 hr63 km
1 hr59 km
1 hr57 km
1 hr61 km
Bars of soap come in packages of 6 and packages of 20. The 6-bar pack costs $7.86, and the 20-bar pack costs $25.00. Which is the better deal? What is the price per bar of the better deal?
6-bar pack at $1.25 per bar
6-bar pack at $0.39 per bar
20-bar pack at $1.25 per bar
6-bar pack at $1.31 per bar
Golf balls come in a variety of packages. A particular brand of golf ball comes in a package of 6 golf balls and a package of 18 golf balls. The package with 6 golf balls costs $3.45, and the package with 18 golf balls costs $6.78. Which is the better deal? What is the unit price of the better deal?
18-ball pack at $0.58 per golf ball
6-ball pack at $0.19 per golf ball
6-ball pack at $0.38 per golf ball
18-ball pack at $0.38 per golf ball
Simplify 27:18
(a)
Simplify 0.6 : 2.4
(a)
Simplify 25cm : 2m
(a)
Simplify 53 : 21
(a)
Share $320 in the ratio 2 : 6
(a)
3 : 7
= ? : 35
(a)
Complete the ratio table.
2
4
0
1
Complete the ratio table.
9 & 12
8 & 10
6 & 8
4 & 6
Trevor's cricket team needs 80 runs to win with 5 overs left. How many runs per over are needed.
(a)
If I am travelling at 50km/h, how far have I travelled after 90 minutes?
(a)
What is the price in $/kg if I purchase 2.5kg of apples for $12?
(a)
15 kg for $32.25
4 kg for $8.72
Consists of numbers or variables and at least one operation.
Inequality
Expression
Equation
An example of an expression is:
2x - 4 = 12
n - 4
x > 7
Consists of two expressions that are not equal (many symbols).
Inequality
Variable
Evaluate
An example of an inequality is:
b - 4 = 2
2n + 4
4r - 6 > 24
Define variable.
a value that does not change
to work out an answer
an unknown value
Examples of a variables:
146, 2, -46
=, +, -
t, r, x, y
A value that does not change is called a
constant
variable
equation
Define value:
Consists of two expressions that are equal.
A number such as the result of a previous calculation or the number assigned to a variable or constant.
The rules that say which calculation comes first in an expression.
Define equation.
Consists of two expressions that are equal (one symbol).
a value that does not change
calculate the value of an expression
An example of an equation is:
4x2+6x+12
3r+2=35
2÷4
Define Order of Operations.
Consists of numbers or variables and at least one operation.
To work out an answer.
The rules that say which calculation comes firs in an expression.
What is the correct Order of Operations?
Multiply, Parentheses, Divide, Add, Exponents, Subtract
Add, Subtract, Multiply, Divide, Exponents, Parentheses
Parentheses, Exponents, Multiply, Divide, Add, Sutract
An example of an expression is:
2x - 4 = 12
n - 4
x > 7
Define variable.
a value that does not change
to work out an answer
an unknown value
Examples of a variables:
146, 2, -46
=, +, -
t, r, x, y
A value that does not change is called a
constant
variable
equation
What is the "h" called?
Coefficient
Variable
Algebraic Expression
Constant
What is the problem above called?
Coefficient
Variable
Algebraic Expression
Constant
What is the "8" called?
Coefficient
Variable
Algebraic Expression
Constant
What is the "3" called?
Coefficient
Variable
Algebraic Expression
Constant
What is the "+" symbol called?
Exponent
Term
Operator
Variable
What is the coefficient of "x2"?
2
9
1
6
Consists of numbers or variables and at least one operation.
Inequality
Expression
Equation
An example of an expression is:
2x - 4 = 12
n - 4
x > 7
9g + 3 = 60
9 + 3w
5y - 3rx + 7
61 - 4 + 8t = 6
18 - 8 ÷ 2
30 - 7 x 4
5 x 6 - 4
7 x (7 - 4) ÷ 3 =
8
6
7
5
4 x 5 ÷ 2 - 1 =
8
9
15
6
(32 ÷ 8) + 27 - 11
(13 - 1) + 4
(3+2)2
10
20
13
25
*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)
Evaluate the expression:
32÷(7−4)+8
(a)
*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)
Evaluate the expression:
15+23−4⋅5
(a)
Select the first step in simplifying the expression:
15 ÷ 5 + 3 x 6 - 2
3 + 3 x 6 - 2
15 ÷ 5 + 18 - 2
15 ÷ 5 + 3 x 4
Evaluate. 18 − 91 × 9
18
17
19
29
8 + 5 - 4v
-x + 5
3x - 9x + 2x2
5a + 2b - 3a
4x2 - 3x - 2x
2x + 1 + 7x
5x + 8 - 2x
4x and x are like terms.
4 and 14 are like terms.
y and 14 are like terms.
u3and u2 are like terms.
1 and -1 are like terms.
14s and 14 are like terms.
100x and 100y are like terms.
3x + 7 - 9x + 24y + 2x2
5a + 2b - 3a + 4
-7y+63
5a + 2b - 3a + 4
4r+2-6+2r
2 and 6
2 and -6
u3and u2 are like terms.
3w + 2w - (-7w)
5x - 9
What is the simplified version of this expression? −4(8r+3)
−32r−12
32r−12
−32r+12
32r+12
What is the simplified version of this expression? 7(5x−1)
35x+7
35x−1
35x−7
−35x−7
What is the simplified version of this expression? −3(8x−12)
−24x+36
24x+36
−24x+32
24x−32
What is the simplified version of this expression? 5(−10x−5)
50x+25
−50x−25
−50x+25
50x−5
What is the simplified version of this expression? −3(−10x−5)
−30x+15
30x−15
30x+15
−30x+15
What is the simplified version of this expression? 9(−5x+8)
45x−72
45x+72
−45x−72
−45x+72
What is the simplified version of this expression? −3(2c−5)
−6c−15
−6c+15
6c+15
6c−15
What is the simplified version of this expression? −9(x−3)
−9x+27
9x+3
−9x−27
9x−27
What is the simplified version of this expression? 5(a+6)
5a+6
a+30
5a+30
5a−30
What is the simplified version of this expression? 4(−p−6)
4p−24
4p+24
−4p+24
−4p−24
5(a + 6)
5a + 6
a + 30
5a + 30
5a - 30
What is the simplified version of this expression? 7(5x−1)
35x+7
35x−1
35x−7
−35x−7
What is the simplified version of this expression? −9(x−3)
−9x+27
9x+3
−9x−27
9x−27
-(3v - 8) is the same as:
-1(3v + 8)
-1(-3v - 8)
-1(3v - 8)
1(3v - 8)
8(5 + w)
What is the simplified version of this expression? −3(8x−12)
−24x+36
24x+36
−24x+32
24x−32
What is the simplified version of this expression? −4(8r+3)
−32r−12
32r−12
−32r+12
32r+12
