Solving Algebraically
The solution for this equation:
5x + 2 = 2(x - 5)
What is x=-4
Ms. Hunter will project a graph. Using the graph, determine WHEN Plant A and Plant B will have the same height and HOW TALL they will be.
What is 9 feet after 12 days.
The number of solutions to the following system of equations:
2x + 3y = 6
x - 3y = 9
What is one solution
Which of the following would NOT be a possible first step to solve the following equation:
A. Multiply (b + 5) by -3
B. Multiply (b + 5) + 4b by -3
C. Add 9 and 6 together
D. Subtract 6 from both sides
What is B. Multiply (b + 5) + 4b by -3
The solution to this equation:
15 - 2x = x - 15
What is x=10
What does a solution to a system of linear equations look like on a graph?
What is the point where the lines intersect
The number of solutions that the following equation has:
2(12x+18)+6 = 18x+6(x+7)
What is: Infinitely Many Solutions
Karishma and Joshua collect shells on the beach. The given equations model the number of shells, k, that Karishma has and the number of shells, j, that Joshua has.
k + j = 54
j = k – 30
How many shells does Joshua have?
The solution to this system of equations:
x = 2y - 15
y = -2x
What is (-3, 6)
Where do the graphs of the linear equation y = -3x + 10 and y = -2x + 6 intersect?
What is (4,-2)
The number of solutions to the following system of equations:
x = -5y
3x + 5y = 20
What is one solution
1 orange and 3 apples weigh the same as 4 oranges and 1 apple. If one orange weighs 6 ounces, how much does one apple weigh?
Hint: draw a picture or set-up an equation to start!
What is 9 ounces
Jen transformed the equation 2x + 2(x + 4) = 2(x+2)+4 into a simpler form as shown below:
2x+2(x+4) = 2(x+2)+4
2x+2x+4 = 4x+4+4
4x+4 = 4x+8
What was Jen's mistake?
What is...
She forgot to distribute the 2 so that 2*4 on the left side
Match the graph of the two lines with the correct system of equations. (Ms. Hunter will project the problem)
What is C. y = 2x + 5 and y = -x + 8
How many solutions would this system of equations have?
y = 5x + 7 and y = 5x - 3
What is no solutions
Alex and Eli are each saving money. Alex starts with $110 in his savings account and adds $10 per week. Eli starts with $15 in his savings account and adds $20 each week.
After four weeks, who has more money in their savings account? EXPLAIN how you know.
Who is Alex. Alex has $150, because 150 = 110 + 4(10). Eli only has $95, because 95 = 15 + 4(20).
The solution to this system of equations:
y = 4.5x + 15
y = 5x + 12.5
What is (5, 37.5)
(Ms. Hunter will project the image)
What is (1,7)
The number of solutions to the following system of equations:
y = 0.25x + 7
y = 0.25x + 8
What is infinitely many solutions
Alex and Eli are each saving money. Alex starts with $110 in his savings account and adds $10 per week. Eli starts with $15 in his savings account and adds $20 each week.
After how many weeks will Alex and Eli have the same amount of money in their savings accounts?
What is 9.5 weeks