Linear Expressions, Equations, Inequalities
What is the term for a mathematical sentence that shows two expressions are equal?
What is the formula for a slope-intercept form?
What is y=mx+b?
What is the y-intercept of the equation y=−5x+6?
In a scatter plot, if the data points appear to form a downward-sloping line, what type of correlation is represented?
What is negative correlation?
If the cost of apples is 2x dollars and you buy 3 apples, write the expression for the cost an solve
What is 2(3) =6?
Solve for x:
5x+3=18
What is X=3?
Define m in the equation y=mx+b.
What is slope or rate of change?
Describe the shape of the graph of a linear function.
What is A straight line?
If the line of best fit for a scatter plot is represented by the equation y=−4x+12, this value represents the slope of the line.
What is -4?
A taxi charges a flat fee of $4 plus $2 per mile. Write the equation for the total cost.
What is y=2x+4?
Solve the inequality
3x−7≤14
What is x≤7?
Write the equation of a line passing through (0, 3) with a slope of 2.
What is y=2x+3?
If y=3x+1, what is the value of y when x=2?
What is y=7?
If the line of best fit for a data set showing the relationship between hours worked and earnings has a slope of 15, this represents the rate at which earnings increase.
What is the amount of money earned per hour worked?
A gym membership costs $20 per month plus a $50 initial fee. How much will it cost after 6 months?
Must Show Work!
What is $170?
Create and solve a real-world equation:
The sum of three times a number and 7 is 22.
What is 3x+7=22 and X=5
A line passes through the points (–4,–4) and (1,6). Write its equation in slope-intercept form.
What is y=2x+4?
If the equation of a line is y=−3x+8, what is the y-intercept and what does it represent?
The y-intercept is 8, which represents the point where the line crosses the y-axis.
Given a line of best fit with the equation y=2x−7, if x=3, this is the value of y.
What is -1?
Solve: A student’s test grade improves by 5 points each week starting at 65. When will they reach 85?
What is in 4 weeks?
x= 4
Explain why the equation 2x+3=2x+5 has no solution.
What is Subtracting 2x results in 3=5, which is false?
Convert 3x+4y=12 to slope-intercept form.
Without graphing, determine if the equation 2x−y=6 represents a linear function. Explain your reasoning.
Yes, it is a linear function because it can be rewritten as y=2x−6, which shows it’s a straight line.
If the line of best fit for a scatter plot is described by the equation y=0.5x+8 and the correlation is strong, this indicates a strong relationship between the variables.
What is a strong positive relationship?
Playtime Toy Shop is having its annual holiday sale, when every toy in the store gets marked down. During the sale, Max purchases 6 Wild Wheels diecast cars to add to his collection, each at $2 less than its full price. Max pays a total of $57. How much does each Wild Wheels diecast car cost at full price?
What is each Wild Wheels diecast car costs $11.50 at full price?