Evaluate Expressions
Add a set of parentheses to this expression so the expression has a value of 84.
15 + 6 x 4
( 15 + 6) x 4
What is the numerical expression that represents the sum of 15 and the product of 7 and 11?
15 + ( 7 x 11 )
Which expression has a value that is 3 times the value of 99−15?
a) 99 - 15 - 3
b) 99 - 15 + 3
c) (99 - 15) x 3
d) (99 - 15) ÷ 3
c) (99 - 15) x 3
Patterns G and H are made using these rules.
Pattern G:
4,10,16,...
Pattern H:
10,8,6,...
What is the fourth term for each pattern?
Pattern G: 22
Pattern H: 4
What ordered pairs can you make from this table?
Pattern x:
4,10,16,...
Pattern y:
10,8,6,...
(4, 10) (10,8) (16, 6)
What is the value of the expression?
27
What is the numerical expression for the difference between 57 and the sum of 18 and 24?
57 - (18 + 24)
Which expression has a value that is greater than 72 × 12 + 4 ?
a) 72 x 12 x 4
b) 72 x 12 ÷ 6
c) 72 + 72 + 4
a) 72 x 12 x 4
The relationship between x and y is shown in the table.
x: 1, 3, 5, 7, ...
y: 2, 6, 10, 14 ...
Based on the pattern, what are the numbers in the next term?
9 and 18
What relationship do you notice between patterns?
Pattern S: 3, 6, 9, 12
Pattern T: 6, 12, 18, 24
Each term in Pattern T is __________ the value of the corresponding term in Pattern S.
2 times
Consider this expression.
4+6×8÷4
Raymond is exploring how the value of the expression changes when parentheses are placed in different locations.
Which expression has a value of
20?
a) 4 + (6 x 8) ÷ 4
b) (4 + 6 x 8) ÷ 4
c) 4 + 6 x (8 ÷ 4)
d) (4 + 6) x (8 ÷ 4)
d) (4 + 6) x (8 ÷ 4)
Which expression shows twice the difference between 274 and 187?
a) (2 x 187) - 274
b) 2 x 274 - 187
c) 274 - 187 x 2
d) (274 - 187) x 2
d) (274 - 187) x 2
Which TWO expression have a value more than 42×17?
Select the TWO correct expressions.
a) 42 x 17 ÷ 1
b) 42 x 17 x 5
c) 42 x 17 x 1
d) 42 x 17 - 9
e) 42 x 17 + 9
f) 42 x 17 ÷ 5
b) 42 x 17 x 5
e) 42 x 17 + 9
Bella and Joy each created a number pattern.
Write the pattern that shows the first
5 numbers generated by Bella's rule and Joy's rule.
Bella: 2, 4, 8, 16, 32
Joy: 4, 8, 12, 16, 20
The table shows 2 numerical patterns.
Pattern A: 0, 3, 6
Pattern B: 0, 6, 12
Which statement describes the relationship between corresponding terms of the 2 patterns?
a) Each term in Pattern B is 6 more than the corresponding term in Pattern A.
b) Each term in Pattern B is 3 more than the corresponding term in Pattern A.
c) Each term in Pattern B is half as much as the corresponding term in Pattern A.
d) Each term in Pattern B is twice as much as the corresponding term in Pattern A.
d) Each term in Pattern B is twice as much as the corresponding term in Pattern A.
Consider this expression.
20+36÷4+8
Where should grouping symbols be placed in the expression to give it a value of
23?
20+36÷(4+8)
a) (7 + 3) x (12 - 5)
b) (7 + 3) x (5 - 12)
c) (7 + 3) x 12 - 5
d) 7 + 3 x (12 - 5)
a) (7 + 3) x (12 - 5)
Choose the answer that shows a fifth of the difference.
14,891 - 755
a) (14,891 - 755) ÷ 5
b) 5 + (14,891 - 755)
c) (14,891 - 755) - 5
d) 5 x (14,891 - 755)
a) (14,891 - 755) ÷ 5
The table shows 2 number patterns. The first 3 terms of each pattern are shown.
Add 5
x: 5, 10, 15, ? , ?
Add 2
y: 2, 4, 6, ?, ?
Both patterns continue. What table shows the 2 missing numbers from each pattern?
x: 20, 25
y: 8, 10
The owner of a music store has noticed there is a relationship between the number of hours the store is open each week and the total sales in dollars. The relationship is always the same, no matter how many hours the store is open.
The table shows the relationship. It is missing
1 value.
Time Open (Hours)
10, 20, 30, 40, 50,
Sales (Dollars)
700, ?, 2,100, 2,800, 3,500
$1400
In solving expressions involving addition and multiplication, when is it appropriate to complete the addition before the multiplication?
a) The addition is never done before multiplication.
b) Complete the addition first when it is the first operation in the expression.
c) The addition is always done before the multiplication.
d) Complete the addition first when it is inside the parentheses.
d) Complete the addition first when it is inside the parentheses.
Write the following as a numerical expression:
"The sum of 42 and 26, subtracted from 105."
105 - (42 + 26)
Write the sentence that describes the expression (156+79)÷3?
a) The value of the expression is 3 times the sum of 156 and 79.
b) The value of the expression is a third more than the sum of 156 and 79.
c) The value of the expression is 3 more than the sum of 156 and 79.
d) The value of the expression is a third of the sum of 156 and 79.
d) The value of the expression is a third of the sum of 156 and 79.
Vincent and Natalia are making a pattern of numbers using different rules.
What is the first number in Vincent's pattern that also appears in Natalia's pattern?
16
Look at the descriptions of
2 patterns:
Which statement describes the relationship between the corresponding terms of Pattern P and Pattern Q?
a) Each term in Pattern Q can be calculated by multiplying the value of the corresponding term in Pattern P by 2.
b) Each term in Pattern P can be calculated by subtracting 4 from the corresponding term in Pattern Q.
c) Each term in Pattern P can be calculated by adding 12 to the corresponding term in Pattern Q.
d) Each term in Pattern Q can be calculated by dividing the value of the corresponding term in Pattern P by 2.
d) Each term in Pattern Q can be calculated by dividing the value of the corresponding term in Pattern P by 2.