Proportional Reasoning
Fraction Practice: 4 1/3 ÷ 1 2/5
What is 3 2/21?
Property used to solve 15 = 13 + x and the solution.
What is Subtraction Property of Equality,
and x = 2
x, given 5x + 8 = 4x -9
What is x = -17?
An equation that uses letters and numbers to show how quantities are related. eg. P = 2l + 2w
What is a formula?
The admission fee at an amusement park is $3.50 for children and $8.00 for adults. Write an expression to model the cost of adults a and children c.
What is 3.5c + 8a?
Identify percent of change as an increase or a decrease. 80 customers to 120 customers. Find the percent of change.
What is 50% increase?
Property used to solve w/13 = 2 and the solution.
What is Multiplication Property of Equality?
w = 26
x, given 6(x+1) - 6 = 3(x+5).
What is five?
This refers to how close a measured value is to the actual value.
What is accuracy?
Solution and method to solve 5(5x+10) = 25
What is -1?
Distribute: 25x + 50 = 25
Divide first: 5x + 10 = 5
Solve the proportion: 12/36 = 4/x
What is x = 12?
Property to solve x/ (-4) = -5 - (-7) and the solution.
What is Multiplication Property of Equality?
x = -8
First step to solve -4x + 8(5x+1) = -2 -7(-1 - x) and the final solution.
What is Distribute?
-4x + 40x + 8 = -2 + 7 + 7x
36x + 8 = 5 + 7x (CLT)
29x = -3 (SPOE)
x = -3/29 (DPOE)
An equation stating that the values of two ratios are equivalent.
What is a proportion?
x, given -7(x+4) + 250 = 22 + 32
What is 24?
-7(x+4) = 54- 250 = -196
x + 4 = 28
OR -7x - 28 + 250 = 54
-7x +222 = 54
-7x = -168
Solve: (k - 4)/ 3 = 4/6
What is 6?
6(k-4)= 3 *4 = 12
k-4 = 2
k = 6
Property to solve 5x + 5x - 13x = 18 - 18 and the solution.
What is Division Property of Equality?
-3x = 0
x = 0
Suppose you receive an allowance of $40 and your friend receives an allowance of $16 at the beginning of the month. If you spend $4 a day and your friend spends $1 a day, after this many days, you and your friend will have the same amount of money.
What is 8 days?
The level of detail of the measurement. When performing calculations with measurements, the calculated value is no more ___ than the original measurements.
What is precision / precise?
Write an equation. "The current population of a small city is 49000 people. Due to a loss of jobs, the population is decreasing by an average of 425 people per year. How many years (from now) will it take for the population to decrease to 46025 people?"
49000 - 425x = 46025
A tree is this many feet tall and casts a shadow 22 feet long. At the same time you cast a shadow 10 feet long.
What is (11, 13.2) ft?
t/22 = h/10 --> t = 2.2h
h is between 5' and 6', so
11 ft </= t </= 13.2 ft
The number, given the difference of 5 times a number and -12 is -18.
What is six?
5x-(-12) = -18 APOE
5x = 30 DPOE
x = 6
Solution given 5(4x+5) + 6(4x+3) +3 = 44x + 46
What is all real numbers? or
What is infinite solutions?
An equation that is true for all values of the variable. This type of equation has infinitely many solutions.
What is an identity?
If the sum of four consecutive even integers is 292, what is the smallest of the four integers?
What is 70?