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Solving Equations
Linear Relationships
Linear Relationships
Parallel and Perpendicular Lines
Random
100
5 - 3x = 17
What is x = -4
100
Samantha owns a pizza shop. The amount charged for a chicken cheesesteak (c) is based on the cost of a sandwich with cheese plus an additional charge for each topping (t) as shown in the equation below. C = 0.30t + 4 What does the number 0.30 represent in the equation?
What is the cost of each topping (the slope)
100
Tamika has $20 and earns $9 an hour babysitting. The equation below represents the amount of money (M) she has after any number of hours of babysitting (h). M = 9h + 20 How much money will Tamika have after 11 hours of babysitting?
What is $119
100
Write the equation of a line that is parallel to y = -2/5x + 7
What is y = -2/5x + b ***Any y-intercept okay as long as the slope is the same***
100
How else can we say y-intercept?
What is 'b'; the starting point; y when x = 0
200
Solve the following equation for x: 4x + 12 = 5x - 3
What is x = 15
200
In quarter 3, Ramirah decides to up her studying by 1 hour each night. Her grade (y) is based on the amount of hours (x) spent studying in the following equation: y = 10x + 40. What does 40 represent in this equation?
What is her grade before she started studying.
200
Write the equation of a line with a slope of 4 and goes through the point (0, 3).
What is y = 4x + 3
200
Write an equation that is perpendicular to the line y = -2/4x + 7
What is y = 2x + b ***Any y-intercept is okay as long as the slope is opposite and reciprocal***
200
Solve the inequality -3x + 8 ≥ -4
What is x ≤ 4
300
x + 5 = 12 2
What is x = 19
300
Write an equation in slope intercept form given the following table. x y 2 5 4 10 6 15 8 20
What is y = 2.5x
300
Pizzas cost $12 for a large cheese and $8 for an order of wings. If I spent $72 to host a Super Bowl Party, write an equation to represent the combination of pizzas, p and wings, w that I may have purchased.
What is 12p + 8w = $72
300
Write an equation for the line that is parallel to y = 2x + 1 that passes through the point (2, 7).
What is y = 2x + 3
300
How else can we say slope?
What is m; constant rate of change; rise over run
400
Convert the following equation into slope intercept form 8x + 4y = 64
What is y = 2x + 16 or y = 16 + 2x
400
Write the equation in slope-intercept form that represents the line that passes between the two points (3, 4) and (2, 2).
What is y = 2x - 2
400
Miss Guck has $102 to spend on a trip to see a Broadway show. Student tickets cost $4 and adult tickets cost $10. If 13 students attended the show, how many adults could attend?
What is 5 adults?
400
Write an equation of a line that passes through the point (1, -5) and is perpendicular to the line y = -1/3x - 1
What is y = 3x - 8
400
The amount of money (m) Chasity makes tutoring per hour (h) is represented by the equation m = 1.75h. How much money will she make after 6 hours?
What is $10.50
500
6x - 3y = 15 -6x -6x - 3y = 15 - 6x 3 3 y = 5 - 2x
What is the 3 is negative, so the final equation should be y = -5 + 2x
500
The growth of a puppy is described by the equation y = 1.5x + 3, where y represents the puppy’s weight in ounces x weeks after it was born. What is the meaning of the fact that the point (6, 12) lies on the graph of the equation?
What is the puppy weighed 12 ounces 6 weeks after it was born.
500
A line that is perpendicular to the line y = 2x + 7 and goes through the point (4, 3)
What is y = -1/2x + 5
500
What is the equivalent equation to 5x - 3y = 15 in slope-intercept form?
What is y = -5 + 5/3x or y = 5/3x - 5