Simplifying Expressions
Simplifying Expressions 2
Number Puzzles & Determining Equivalence
Fact Triangles
Random
100
Is -(-21)^5 a positive or negative number?
Positve
100
Simplify -(-x) ^2
-x^2
100
Use a graphing calculator to determine whether w + (2w - 1) + 3(w + 6) and 6w -5 seem to be equivalent.
No
100
Write the related facts for d = C/n where C is the circumference of a circle, n is pi, and d is its diameter.
C = d * n C = n * d n = C/d
100
Find the reciprocal of 1/5
5 because 1/5 * 5 = 1
200
-2 + 2 = 0. -2 and 2 are called what?
They are opposites.
200
Simplify 12(3x - 4)
36x - 48
200
Use properties of operations to determine whether x + (3x - 4) + 2(x + 5) and 6x - 6 are equivalent.
No, they are not equivalent.
200
Use the related facts from Question 100 to determine the Circumference of a circle if its diameter is 4.
4 * n = 12.566 n = pi
200
What is the opposite of -2/3?
2/3
300
What is the opposite of 3/4?
-3/4
300
Carlos bought seven shirts at $19.98 each. Show how Carlos could use the Distributive Property to calculate the total cost of the shirts in his head.
7 (20 - .02) = 140 - .14 = $139.86
300
Create a table using the values -2, -1, 0, 1, 2, 3 to determine if 2x + 1 and the abs(-2x -1) are equivalent. Are they equivalent?
x = -2: -3, 3 x = -1: -1, 1 x = 0: 1, 1 x = 1: 3, 3 x = 2: 5, 5 No, they aren't equivalent.
300
Make a fact triangle for -12 = -4 + x. Use the facts to determine the value of x.
-12 = x + -4 -12 - (-4) = x (x = -8) -12 - x = -4
300
Use a graphing calculator to determine if x^2 - 4x + 2 and (x-2) (x-2) are equivalent.
They are not equivalent.
400
Simplify -7h + 2(h-4)
-5h - 8
400
Write 2 expressions to describe the total area of the figure in question 9 (Page 124).
x(2 + x + 3) 2x + x^2 + 3x x^2 + 5x
400
Show how the distributive property can be used to calculate 8 * 5.98.
8 (6 - .02) = 48 - .16 = 47. 84
400
Create a fact triangle for S = R / T where S = your score on a test, R = the number of questions you answered correctly and T = the total number of questions.
See the answer on the board.
400
Simplify 5(3x + 7) - 11(x + 6)
4x - 31
500
Simplify 3(k + 10) - (11 - 4k)
7k + 19
500
Simplify (5x + 7) / 6 + (2x) /6
(7x + 7) / 6
500
Let n be any real number. Use algebra to show how the number puzzle works. 1: Pick a number 2: Multiply by 10 3: Add 30 4: Divide by 5 5: Subtract your original number 6: Add 1 7: Subtract 7 You have your original number.
What is 1: n 2: 10n 3: 10n + 30 4: 2n + 6 5: n + 6 6: n + 7 7: n
500
Find the value of x from the given fact triangle. 11 -5 x
What is x = 16
500
Simplify 6(x/2 - 3) + 2(x - 1)
5x - 20