Solving Equations
Solve for x:
4x + 2 = 18
x = 4
What are the 4 types of transformations?
Translation, Rotation, Reflection, Dilation
Write 2 x 2 x 2 x 2 x 2 x 2 in exponential form.
2^6
What is the definition of a function?
A relationship where each input has 1 output.
What is the equation for a line?
y = mx + b
Solve for a.
3a + 2a = 35
a = 7
What is a translation?
slide
Write the number 60,000 in scientific notation.
6 x 10^4
What is a linear function?
A function that has a constant rate of change (slope), so it is straight.
What is the slope in the equation y = 4x + 5?
4
Solve for b.
2(b+3) = 16
b = 5
180
Write the number 0.0003 in scientific notation.
3 x 10^-4
slope
What is the y-intercept in the equation y=1/3x - 7
Will the equation 3x + 5 = 5 + 3x have one solution, no solution, or infinite solutions?
infinite solutions
If point A = (3,-4) is dilated by scale factor r = 2, what are the coordinates of the new point?
A' = (6, -8)
What does a number with an exponent of 0 equal?
Write the number as the positive reciprocal (at the bottom of a fraction).
Kevin has $50 in the bank and wants to donate $5 each week to a charity. Write an equation to represent this linear function.
y = -5x + 50
In a system of equations, how do you find the solution?
OR Use substitution or elimination.
Will the equation 5x - 6 = 2x + 3x + 8 have one solution, no solution, or infinite solutions?
no solution
If point B = (-3, 9) is dilated by scale factor r = 1/3, what are the coordinates of the new point?
B' = (-1, 3)
When you have a negative exponent, how can you write it with a positive exponent?
Write the number as the positive reciprocal (at the bottom of a fraction).
Jackie is selling candy bars for $2 each and has already earned $8. Write an equation that has DOUBLE the slope.
y = 4x + 8
If a graph has a negative constant rate, what will it look like?
a straight line going down