Algebra Part A
9 + 3x + 2y - 7
How many terms does the expression have?
4
y - 4 = 10
Solve. Show your work.
y = 14
Write an equivalent fraction for the following fraction:
2/3 Show your work.
Any fraction that results in multiplying the numerator and denominator by the same number.
Examples: 4/6, 6/9, 8/12, 10/15
What are the four transformations?
Translation, Reflection, Rotation, Dilation
Write an equation in slope-intercept form using the following information:
slope = -5, y-intercept = 1
y = -5x + 1
5 + x - 2y
Identify the coefficient.
2
A coefficient is a number that is attached to a variable.
3x + 7 + 5x
Simplify (combine like terms)
8x + 7
4/6 - 1/4 =
Show your work.
5/12
What transformation would the following rule describe:
(x,y) changes to (x + 5, y)
Transformation
Positive
Negative
Positive
8x - 3y -2
Identify the constant.
2
Constants are always by themselves (not attached to a variable).
2x + 3 = 43
Solve
Show your work.
x = 20
3/5 x 5/7 =
Simplify (reduce to lowest term)
3/7
What transformation does the following rule describe:
(x,y) changes to (-x,y)
Reflection (over the y-axis)
When adding or subtracting fractions, why does the denominator need to be the same number?
So that the pieces are the same size or equal units (like 1/4 and 3/4).
You can't add fractions that have different sized units (like 1/4 and 3/6).
2x - 5 + 4y
Expression or Equation?
Expression
Expressions do not have equal signs.
1/3x + 6 = -8
Solve
Show your work.
x = -42
2 divided by 1/2
4
What transformation does the following rule describe:
(x,y) changes to (y,-x)
Rotation (90 degrees clockwise, or 270 degrees counterclockwise)
Solve. Show your work.
23
8
2 x 2 x 2 = 8
2x -1 = 5x + 2
Expression or Equation?
Equation
Equations have equal signs. There is an expression on either side of an equals sign.
7x - 8 - 3x = 24
Solve
Show your work.
x = 8
2/5 divided by 3/6
Simplify (reduce to lowest terms)
4/5
If a pre-image of a triangle was dilated by a scale factor of 2, would it make the image larger or smaller?
Larger (a dilation scale greater than 1 will make the image larger, a dilation scale less than 1 will make it smaller)
WHY does Keep, Change, Flip work when dividing 1/2 and 3/4?
Whatever you multiply or divide on one part of the fraction, you must do the same to the other part of the fraction. So, once you set up the division problem, if you divide the numerator and denominator by 4/3 it will make the new denominator 1, leaving you with 1/2 times 4/3. Then just multiply those and you get 4/6 or 2/3.