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Expressions
Equations
Inequalities
Proportional Relationships
Linear Equations
100
Simplify: 2a + 3b - 5a + 4b - 9
-3a + 7b - 9
100
What is the difference between an expression, an equation and an inequality?
Equation: Has equal sign, solve. Expression: No equal sign, simplify. Inequality: Inequality sign, solve.
100
less/greater than or equal to gets a ____ circle on a number line, while less/greater than gets a ____ circle.
1. Closed 2. Open
100
If a relationship is proportional, what kind of line will appear if we graph the points?
A straight line
100
Write two methods that you can use to remember constant of proportionality.
Rise/Run , Change in y/Change in x, Unit rate, y2-y1/x2-x1
200
Simplify the expression: 2(3z + 4) - 5z + 3(1 + 2z)
7z + 11
200
Solve for the variable: 3x + 5 = 29
x = 8
200
List all the possible inequality signs, and provide an example of a literary direction that identifies it in a word problem.
< , > , ≤ , ≥ and =
200
What point do all proportional relationships pass through?
The origin (0 , 0)
200
The y-intercept is the value of our equation when x = ?
0
300
Simplify the expression: 3/4x + 5/6x - 1/8x
What is 35/24 ?
300
Solve for the variable: -1/4x + 13 = 16
x = -12
300
-4d + 5 ≥ 15
d ≤ 2.5
300
Create a table with four values for the following function: y = 3x
*Tables will vary*
300
Determine the equation of a line with a unit rate of 3 and a y-intercept of -4.
y = 3x - 4
400
3(x + 2d) - 4(y - 2x) + 6(y - d)
-5x + 2y
400
The sum of three consecutive even numbers is 156. What is the lowest of the three numbers?
50
400
Solve the inequality: 10 is no more than 4 less than a number.
x ≥ 14
400
Create a table with four values for the following function: y = -1/5x
*Tables will vary*
400
Using the table, create a linear equation:
y = 2x + 5
500
Simplify the expression: 0.8 - 3/4 + 2 + 6.2 - 3/8
What is 7.875?
500
A bike shop charges 16 dollars base fee along with 8 dollars per hour of rental. If Cedric ended up paying 48 dollars, how many hours did he rent the bike for?
4 hours
500
Dale has $25 to spend at the carnival. If the admission is $10, and each ride costs $1.25, determine how many rides he would be able to go on
x ≤ 12
500
Explain why the following tables is or is not a proportional relationship:
Yes, because all growths on the table are proportional to one another, even though they are not exactly the same.
500
Using the table, create a linear equation:
y = -6x - 1