Module 1
What are three examples of rigid transformation?
Translation, Rotation, Reflection
In the equation y=3x+7, what is the slope and y-intercept?
slope = 3
y-intercept = 7
Simplify the expression:
3(x + 2) - 4x + 10 - 5x
-6x + 16
What is the √49?
7
Simplify:
x3x2y4
x5y4
If a point A is at (3, 5) and it is translated 2 units to the right and 4 units down, what are the new coordinates for A'?
(5, 1)
If you can buy 3 stamps for $4, how many stamps can you buy for $24?
18 stamps
Solve for x.
3x+ 10 + 2(2x + 4) = 5x + 2(x + 7) +3
No solution
Is 4.44444... a rational number or irrational number?
Rational
Simplify:
(x4y3z2)2
x8y6z4
What is the difference between congruent and similar?
Congruent: Same everything (shape and size)
Similar: Same shape, not the same size
What is the definition of a function?
Every input has exactly one output
Solve the system of equations
y = 3x + 5
y = 2x - 1
(-6, -13)
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
Simplify:
x-3y3
y3 / x3
If Point B starts at (3, 2) and it is rotated 90 degrees counter clockwise, what quadrant does it end up in?
Quadrant 2
Write an equation of a line that has a slope of -2 and passes through the point (-3, 1)
y = -2x - 5
Katherine buys 3 shirts and 2 skirts for $12. Katelyn buys 5 shirts and 6 skirts for $28.
Define your variables.
Set up a system of equations, you do not need to solve.
x = cost of shirt
y = cost of skirt
3x + 2y = 12
5x + 6y = 28
If your hypotenuse has a length of 13 cm and one leg has a length of 5 cm, find the length of the other leg.
12cm
Anything to the power of zero turns into...
1
If Point C' is at (5, 7) after being reflected over the x-axis, what was the coordinate for point C?
(5, -7)
Write an equation of a line that passes through the points (4, 6) and (3, 2)
y = 4x - 10
If company A charges $50 plus $1 per minute of calling and company B only charges $3 per minute of calling, after how many minutes will the companies cost the same?
25 minutes
Approximate √5 to the nearest tenth (no calc). Explain your answer.
~2.2 or 2.3
Simplify:
x4y2z6 / x6y5z3
z3 / x2y3