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Expressions, Equations, and Functions
Properties of Real Numbers
Solving Linear Equations
Graphing Linear Equations
Writing Linear Equations
100
The steps used when evaluating more than one operation in an expression.
What is PEMDAS?
100
..., -3, -2, -1, 0, 1, 2, 3,...
What is integers?
100
Two operations that undo each other, such as addition and subtraction.
What is inverse operations?
100
A quadrant where a negative x-coordinate and a negative y-coordinate whould be plotted.
What is Quadrant III
100
y=mx+b
What is slope-intercept form?
200
A pairing of inputs with outputs such that each input is paired with exactly one output. Inputs are also known as the domain or the independent variable. Outputs are also known as the range or the dependent variable.
What is a function?
200
0, 1, 2, 3, 4,....
What is whole numbers?
200
4y-4=16
What is 5? Reason: The inverse operation of subtraction is addition, so you add 4 to both sides. You then have 4y=20 because the -4 and the +4 cancel each other out. To get y by itself, you must divide by 4 because division is the inverse operation to multiplication. Your answer is y=5.
200
Ax+By=C, where A, B, and C are real numbers and neither A or B are zero.
What is standard form?
200
y-y1=m(x-x1)
What is point-slope form?
300
Step 1:Read and understand Step 2: Make a plan Step 3: Solve the problem Step 4: Look back
What is a Problem Solving Plan?
300
a/b where a ad b are integers and b doesn't equal 0
What is a rational number?
300
3/2(3x+5)=-24
What is x=-7 Reason: There are two ways to solve this problem. You could use the distributive property and multiply 3x+5 by 1.5 and solve or you could multiply both sides of the equatio by 2/3 which is the reciprocal of 3/2. By doing this, you get rid of the 3/2 and solve 3x+5= -16, instead because 2/3 of -24 is -16. Make sure to multiply BOTH sides by the reciprocal, not just one!
300
The 2 in y=3x+2.
What is the y-intercept?
300
y=4x+5 ad y=4x-3
What are equations of parallel lines?
400
The sum of 42 and a number (n) is equal to 51
What is 42+n=51?
400
2(x+3)
What is 2x+6 Reason: Using the distributive property, you MUST distribute whatever term is directly outside the parenthesis to EVERYTHING that is inside the parenthesis.
400
(m+3)/8 = 40/64
What is m=2? Reason: When solving proportions, you have to cross-multiply. So, you multiply (m+3) and 64 to get 64m+ 192, and you multiply 8 and 40 to get 320. So, 64m+192=320. Now, you solve like you would if it was a two-step problem because essentially, it is. You subtract 192 from both sides, to get 128. Finally, you divide bot sides by 64 to get 2.
400
The slope of a line that has the points (2, 0) and (5,3).
What is 1? Reason: The formula for finding the slope of two points is (y2-y1)/(x2-x1). 3-0 is 3 and 5-2 is 3, so 3/3 is the slope, but that can be simplified to 1.
400
y=-13x+7 and y=-1/13x -9
What are equations of perpendicular lines?
500
(a+9)/2 when a=4
What is 6.5? Reason:If a equals 4, the a+9 equals 13. Then, you have to divide 13 by 2 ad you get 6.5. Other way to solve: Divide 4 by 2 and 9 by 2, then add them together. The answer remains 6.5, but you must divide BOTH of them because the expression has parenthesis aroud a+9.
500
6(5-z)+2z
What is 30-4z Reason: When using the distributive property, you MUST distribute whatever term is directly outside the parenthesis to EVERYTHING that is inside the parenthesis. After you have doen that, you get 30-6z+2z. Then you add like-terms, which in this case is the -6z ad the 2z.
500
x/144 = 4/x x^2=576 x= 24
What is x=24? Reason: When solving proportions, you have to cross-multiply. So, you multiply x and x to get x^2, and you multiply 144 and 4 to get 576. So, x^2=576. Now, you have to get x by itself by finding the square root of both sides of the equation. The final aswer is x=24.
500
When y varies directly with x, such as y=5x or y=ax (where a does not equal 0)
What is direct variation?
500
A line on a scatter plot which can be drawn near the points to more clearly show the trend between two sets of data.
What is the line of best fit?