From Patterns To Algebra
Operations in Algebra
Equations
Proportional Reasoning and Statistics
Linear Functions
100
Find the pattern- 5,3,6,4,8,6,12
The pattern is to subtract two then multiply by two.
100
Determine if 5/100 is a terminating decimal.
Yes, 5/100 is equal to 0.05 which is a terminating decimal.
100
Solve the following equations: 35 - x = 45 5 + y = 12
x = -10, y = 7
100
Cross products property states that if a/b = c/d, then a x d = what?
a x d = b x c
100
Choose any ordered pair that make the following equation true. 6x + y = 20
Answer may vary. Possible answers- (1,14) (2,8) (3,2) (4,-4) (0,20)...
200
Suppose a golf-cart cost $5 to rent for the first hour and $10 for each additional hour. Write an algebraic equation showing how to find the total cost of renting a golf-cart. Use the variable h to represent the number of additional hours.
The equation used to find the total cost of renting a golf-cart is $5+$10h.
200
Simplify the equation 20 + -34.
20 + -34 = -14
200
Solve for x in the following equation: 8x = 72
x = 9
200
Write 89% as a fraction and decimal.
89% = 89/100 and 0.89
200
Find the slope of a line containing the following points. (4,-6) (8,10)
16/4 or 4/1
300
Insert grouping symbols to make the following equation true: 8 x 2 - 10 + 24 x 2 = -16
8 x (2 - 10) + (24 x 2) = -16
300
The definition of subtraction says that a + (-b) = what?
The definition of subtraction says that a + (-b) = a - b.
300
Solve for x. 50 + 8x = 130
x = 10
300
If there are 45 red marbles and 10 purple marbles in a bag. If you put your hand in the bag what is the probability you will draw out a purple marble? Round your answer to the nearest onehundreth.
The probability of pulling out a purple marble is 10/55 or 18%.
300
A line has a slope of (2/3) and a y-intercept of 10. Write this information in slope-intercept form.
y = 2/3x + 10
400
If a point on a graph is 10 to the right and 5 units down what is its coordinate?
If a point on a graph is 10 to the right and 5 down its coordinate is (10,-5).
400
Fill in the blanks. If you have an even number of negative numbers in a multiplication problem your answer is _________, if there is an odd number of negative numbers the answer is _________.
positive; negative
400
Solve. x - 25 = (-4x) + 10
x = 7
400
Find the mode and range of the set of data. 2,5,4,6,7,4,3,6,8,4,7,4,7,3,7,2,7,4,7,5,7,4,7,4,6,4,4,4,4,4,9,8,6
The mode of the data is 4, the range is 7.
400
Write in point slope form a line with the point (6,2).
y - 2 = m(x - 6)
500
What is a scatter plot used to determine?
A scatter plot is used to easily tell if a relationship exists between two variables.
500
What property comes in to play in the equation 3 x 90 = 90 x 3?
The commutative property of multiplication.
500
There are 8 ounces in 1 cup. How many ounces are in 9 cups?
There are 72 ounces in 9 cups.
500
What type of graph would you use to display data you collected of a period of time?
A line graph would be used to display data collected over time.
500
Tell if the following lines are parallel,perpendicular or neither. y = 1/2x + 6 y = 1/2x - 3
The lines are parallel because they have the same slope.
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