Slope
y=mx+b
Solving Linear Equations
Number of Solutions
Roots
100
What is the slope of the line passing through (-4, 7) and (2, 5)?
-1/3
100
What is the slope of the line
y=10x+5
m=10
100
What is the solution to the equation:
3x+7=7x+3
x=1
100
Determine the number of solutions.
8-3x=-3x-8
No Solution
100
Solve:
x^3=125
x=5
200
What is the slope of the line:
y=-1/2x+3
-1/2
200
What does the y-intercept represent?
She started with 3 finished bracelets
200
What is the solution to the equation
(3x)/-6=-12
24
200
Determine the number of solutions:
5x-2=-2+5x
Infinitely Many Solutions
200
Simplify:
sqrt(81
9
300
Line PR passes through the origin and (-20, 8). Coordinate point Q is also on the line. What is the slope of the line PQ?
-2/5
300
Write the equation of the line.
y=2x+5
300
Solve for x:
2/3(3/4x-1/6)=1/3
x=8/9
300
Determine the number of Solutions:
x-3=3-x
One Solution
300
Solve:
x^2=64
x=8
x=-8
400
Aponi is a member of the Shoshone Native American Indian tribe. Her name means "butterfly". Aponi uses beads to make hair barrettes with a butterfly design. The number of beads she uses is proportional to the number of hair barrettes she makes. Aponi graphs a line that shows the number of hair barrettes she makes and the total number of beads she uses. Two points on the line are (2, 150) and (5, 375)
What does the slope of the line mean in this situation?
Aponi uses 75 beads to make each hair barrette.
400
Write an equation that correctly models the relationship shown in the graph.
y=1/2x+2
400
Solve for x:
1/2(8x-6)=-1/3(9x-12)
x=1
400
Determine the number of Solutions:
10x-5(x+4)=5x+4
No Solution
400
The area of a square is 100 square units. What is the measurement in units of one side of the square?
10 units
500
Linda works at the market and earns $12.50 an hour. Tony works at the library. The graph shows the relationship between hours worked and the money that Tony earns.
Who makes more money an hour, Linda or Tony. How much more money do they make?
Linda makes $2.50 an hour more than Tony.
500
Write the equation of the line.
y=x-5
500
What is the solution to the equation:
1/4(8y-4.8)=2(0.9y+5.4)+3/5
y=63
500
Determine the number of solutions:
2(x-3)=-2x+4(x-3)+6
Infinitely Many Solutions
500
What is the solution:
x^2=16/25
x=4/5