Solving Single-Variable Equations
Solving Linear Systems by Substitution
Problem Solving with Linear Systems
Key Terms
100
Solve the following equation for Y: -4y - 6 = 3y + 15
y = -3
100
Determine any common solutions (X, Y) to the following linear system: y = 10 3y - 2x = 34
x = -2 y = 10
100
T-Mobile are Verizon are both offering new monthly plans for students under the age of 18. Verizon's plan costs $20/month, plus $10 for every gigabyte of data used. T-Mobile's plan costs $40/month, plus $6 for every gigabyte of data used. Write a linear equation for each company relating Y, the total monthly cost, to X, the number of gigabytes of data used.
Y = 20 + 10x (Verizon) Y = 40 + 6x (T-Mobile)
100
A graph of plotted points that shows the relationship between two real-world variables.
What is a scatter plot.
200
Solve the following equation for m: -5(2m - 3) + 4m = -15
m = 5
200
Solve the following linear system: x = 4y 2x + 4y = 48
y = 4 x = 16
200
T-Mobile are Verizon are both offering new monthly plans for students under the age of 18. Verizon's plan costs $20/month, plus $10 for every gigabyte of data used. T-Mobile's plan costs $40/month, plus $6 for every gigabyte of data used. If a student plans on using 4 gigabytes of data each month, which plan is cheaper?
Verizon's plan is cheaper ($60 @ 4 gb of data for Verizon, $64 for 4 gb of data on T-Mobile).
200
A line on a graph showing the general direction that a group of plotted points is heading. Also known as a trend line
What is a line of best fit.
300
-4(3 - 4x) = 16x + 12 Which of the following statements is true? A. The equation has no solutions. B. The equation has one solution. C. The equation has two solutions. D. The equation has infinite solutions.
A. The equation has no solutions.
300
Solve the following linear system: y = 2x - 3 8x - 5y = 1
x = 7 y = 11
300
T-Mobile are Verizon are both offering new monthly plans for students under the age of 18. Verizon's plan costs $20/month, plus $10 for every gigabyte of data used. T-Mobile's plan costs $40/month, plus $6 for every gigabyte of data used. Determine the number of gigabytes of data for which both plans will have the same monthly cost.
Both plans have the same monthly cost if a student uses 5 gb of data.
300
The values for X and Y that make both equations in a linear system true.
What is a common solution.
400
Solve the following equation: -6x + 4 (5x - 4) = 6x - 16 + 8x
The equation has infinite solutions.
400
Let (x, y) be the solution to the following linear system. x = 4y + 5 x = 3y - 2 What is the value of x + y?
x + y = -30
400
The 7th grade student council decides to have a fundraiser for their end of year field trip. They sell two items for the fundraiser: (1) hats and (2) gloves. On the first week they sell 20 hats and 10 pairs of gloves for a total of $220. On the second week, they sell 20 hats and 40 pairs of gloves for a total of $400. Write a linear equation for each week relating h, the cost of a hat, and g, the cost of a pair of gloves, to the total amount of money fundraised that week.
20h + 10g = 220 20h + 40g = 400
400
Another term for proportion. The ratio of a number of times an event occurs to the number of times that event could have occurred.
What is relative frequency.
500
Solve for m: 3(14 - 6m) - 24 = -5(3m + 4) + 8
m = 10
500
Determine any common solutions to the following linear system: 3x + y = -13 39 = 3y + 9x
There are no common solutions.
500
The 7th grade student council decides to have a fundraiser for their end of year field trip. They sell two items for the fundraiser: (1) hats and (2) gloves. On the first week they sell 20 hats and 10 pairs of gloves for a total of $220. On the second week, they sell 20 hats and 40 pairs of gloves for a total of $400. What is the cost of each hat and each pair of gloves?
Hat = $8 Gloves = $6
500
The unit rate of a line when graphed. The "m" in y = mx + b.
What is slope.
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