Solving Equations
Solve the following:
x + 7 = 15
x = 8
What type of slope does a vertical line have?
Undefined
How do you know the solution to a systems of equations by looking at a graph?
It is where the lines intersect.
Given the linear model y = 2x + 3, what is the predicted value of y when x = 4?
11
The videography team entered a contest and won a prize of $1,320.
Write an equation that represents how much each person would get, y, if there were, x, people on the team and the prize was $1,350.
y = 1350/x
Solving the following:
3x + 9 = -6
x = -5
What is the equation of the line that has a slope of -2/5 and y-intercept of 8?
y = -2/5x + 8
Solve the System using Substitution:
y = 2x - 1
3x + 2y = 26
(4, 7)
If r = 0, what does this indicate about the correlation between two variables?
No Correlation
The Screaming Eagle Band is ordering pizza after their last day of band camp. They plan to order cheese pizzas that cost $6 each and two-topping pizzas that cost $10 each. They order x, cheese pizzas and y, two-topping pizzas for a total of $425. Write an equation to represent the total cost of the pizzas they ordered.
6x + 10y = 425
Solve the following:
7x - 8 = 20
x = 4
What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?
-2
Is (-1, -9) a solution to the inequality?
2x - 3y < 9
No
The line of best fit for a data set is y = 1.1x + 3.4
Find the residual for the ordered pair.
(5 , 8.8)
-0.1
An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.
If the artist sold $12.00 worth of merchandise, could they have sold 5 necklaces and 1 bracelet?
NO
Solve the following:
5x + 2 = 3x - 10
x = -6
What are the x and y-intercepts of the following equation?
3x - y = 6
x-intercept: 2
y-intercept: -6
Solve the following using Elimination:
2x + 5y = -16
-3x - 5y = 19
(-3, -2)
47 6th graders were asked if they prefer chocolate or vanilla ice cream. 32 students said they preferred vanilla. What percentage of 6th graders prefer vanilla ice cream? Round to the nearest whole number.
68%
Sara bought 4 necklaces, n, and 6 bracelets, b, for her sister for Christmas. Write an equation to show the relationship if she spent $30 total.
4n + 6b = 30
Solve the following:
3(2x + 4) - 5 = 19
x = 2
Convert the equation from Standard Form to Slope-Intercept Form.
6x + 2y = 16
y = -3x + 8
How do you know if an ordered pair is a solution to a system of inequalities?
If the ordered pair is in the double shaded region.
If r = -1, what does this indicate about the correlation between two variables.
Perfect Negative Correlation
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
54