Writing Expressions
Write an expression: 18 more than a number.
x + 18 (MUST be this order!)
Evaluate: x - 16 given x = 30
14
Are these two expressions equivalent? If so, what property tell us that? If not, why not?
8(7-2) = 8(7) - 8(2)
Yes - distributive property
Evaluate: 8 + 9 X 2
26
The sum of y and 85 is 123
y + 85 = 123
Write an expression: Twice the sum of a number and three.
2(x+3)
Evaluate: 2y - 18 given y = 9
0
Are these two expressions equivalent? If so, what property tells us that? If not, why not?
9 - 4 = 4 - 9
No - because subtraction is not included in the commutative property (and 5 is not equal to -5)
Evaluate: 20 ÷ 4 X 5
25
43 less than h is 25
h - 43 = 25
Write an expression for the number of gold team students. There are 58 fewer gold team students than double the number of blue team students. (use b = number of blue team students)
2b - 58
Evaluate: x2 + y2 + z2 given x = 2, y = 3 and z = 4
29
Are these two expressions equivalent? If so, what property tells us that? If not, why not?
k X 1 = k
Yes - identity property of multiplication
Evaluate: 9 + 23 ÷ 2 - 5
8
The product of c and 23 is 322
23c = 322
Peter is fifteen years younger than three times the Joseph's age (use j = Joseph's age)
3j - 15
Evaluate: ab - b2 given a = 6 and b = 4
8
Are these two expressions equivalent? If so, what property tells us? If not, why not?
8 + (y + z) = (8 + y) + z
Yes - associative property of addition.
Evaluate: (16 - 5)2 - 7 + 10
124
The quotient of x and 15 is 210
x/15 = 210
Create a real-life scenario for this expression: 9x + 5
Evaluate: 2(gh - h2) given g = 4 and h = 3
6
Create an example to show the distributive property.
Examples will vary: a(b+c) = ab + ac
Which operation needs to go in the 2 blanks to make this equation true (following order of operations)?
8 __ (24 - 4) __ 5 X 3 = 20
8 + (24 - 4) ÷ 5 X 3 = 20
(addition and then division)
5 less than the quantity of 13 and 7
(13 + 7) -5