Equations
Inequalities
Systems of equations and inequalities
Things to do with Graphing and Lines
Surprise!
100
Solve for x: x + 3 = 7
x = 4.
100
x + 3 > 2
x > -1
100
What is the value of y in this system of equations: x+ 2y = 3 -x + y = 9
y = 4
100
Given this equation in slope intercept form, what is the slope and the intercept? y = 3x + 6
x intercept = -2 or (-2,0) y intercept = 6 or (0,6)
100
If x varies directly with y, and if x = 5 when y = 25, find x when y = 30
x = 6
200
-x + 5 = 10
x = -5
200
Solve and Graph your answer: 3x - 6 < 9
x < 5
200
How many solution(s) does the system y = 5x – 2 and 3y = 15x – 6 have?
Infinite solutions
200
Find the equation of the line of that goes through points (1,3) and (2,5)
m = 2 y - 3 = 2(x-1)
200
Solve for B: BD - X = M
B = (M+X)/D
300
2x - 7 = 11
x = 9
300
-5x + 8 > -12
x < 4
300
Solve this system of equations for x and y: -2x + 3y = 4 x - 6y = 1
x = -3; y = -2/3
300
Given these values for x and y, come up with an equation for the line. Write the final answer in standard form. X 2 4 6 8; Y 3 5 7 9
-x + y = 1
300
1. Let x and y be numbers such that 1 < x < y < 2. Let D = x - y. Draw the number line which represents point D and write out your reason as to why you got to your answer.
The number line should have 0, 1 and 2 labeled on it and have have point D drawn to the left of 0. The reason is because x is smaller than y, so x - y will always be negative.
400
x/2 + 20 = 8
x = -24
400
Solve: 2x/3 - 5 > -1x/3 + 2
x > 7
400
What is the solution point to the system: 4x – 3y = 25; –3x + 8y = 10
x = 10; y = 5 or (10,5)
400
If point (–1, 0) is on the line whose equation is y = 3x + b, what is the value of b?
b = 3
400
Which ordered pair is not in the solution set of y > 2x + 1 ? A. (1,4) B. (1,6) C. (3,8) D. (2,5)
D (2,5)
500
3x + 7 = 5x - 5
x = 6
500
Solve and graph: -4x - 7 > -x/2 + 7
x< -4
500
Three large suitcases minus 2 small suitcase fit 100 pounds of weight. Two large suitcase minus three small suitcases fits 20 pounds of weight. How much weight can the small suitcase hold?
Small suitcase holds 16 pounds
500
What is the slope of a line that is parallel to 3y + 4x = 9
The slope should be -4/3
500
Plot the points (-7,4) and (-3,8) on a coordinate plane and draw a line. Then, determine the slope of the line. Be sure to show your method for finding the value of the slope.
slope = 1
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