Show:
Algebraic Expressions
Simplify
Substitute
Real Numbers
Properties
100
Write an algebraic expression: the product of 15 and a number c.
15c
100
2^4
16
100
(t - s)^2 for s = 4 and t = 8
16
100
Name a subset of the rational numbers.
Integers, whole numbers, or natural numbers.
100
Name the property: (a + b) + c = a + (b + c)
Associative
200
Write an algebraic expression: the sum of 13 and twice a number h.
13 + 2h
200
6 + (4/2) + 3
11
200
s^4 + t^2 + (s / 2) for s = 4 and t = 8
322
200
What subset does sqrt(11) belong to?
Irrational numbers.
200
Name the property: 6x4 = 4x6
Commutative
300
Write an algebraic expression: 9 less than the sum of 37 and t.
(37 + t) - 9
300
(6^2 - 3^3) / 2
4.5 or 9/2
300
Is y = 5 a solution to the equation 4y - 10 = 5? Show your work.
No
300
What type of number is sqrt(9/16)?
Rational
300
Name the property: 89 x 1 = 89
Identity
400
Write a phrase: y/5
The quotient of y and 5.
400
sqrt(25/81)
5/9
400
Is a = 3 a solution to the equation a^2 + 6 = 5a? Show your work.
Yes.
400
Order the following numbers: 2*pi, sqrt(5), -10, 4/3, -1/2
-10, -1/2, 4/3, sqrt(5), 2*pi
400
Name the property: 4,024 x 0 = 0
Zero Property
500
Write a phrase: 2(5 - n)
Twice the difference of 5 and a number n.
500
Think about the expression 52 + 8^2 - 3(4 -2). Can you perform the operations in a different order and still get the same answer? Provide an example.
Answers may vary. Final answers should be 110.
500
20 students go to a play and each ticket to the play costs $15 . How much do the students spend in total?
$300
500
What is the primary difference between rational and irrational numbers?
Rational numbers can be written as a fraction, while irrational numbers cannot.
500
Simplify 8(4 - 2) using two different methods. Identify why each method works.
PEMDAS --> 8(4 - 2) = 8(2) = 16 Distributive --> 8(4 - 2) = 8x4 - 8x2 = 32 - 16 = 16