OSU MATH PLACEMENT REVIEW WITH
COMPLETE SOLUTIONS 100% 2023/2024
Integer
All whole numbers (both positive and negative) and zero.
rational number
All numbers including fractions and decimals. Ex: 1, -1, -.3
Negative multiplication
A negative number multiplied by an even number equals a positive result.
A negative number multiplied by an odd number equals a negative result. Applies to Powers as well.
square roots
All positive numbers of two square roots. One is positive, the other is negative.
If a square root is a whole number it is a perfect square.
If not it will be an irrational number. See examples in the photo
inequality's
If multiplying or dividing an inequality by a negative number, switch the sign around. Ex: a<c *-b =
-ab>-bc.
Functions and linear equations
A function is an equation that has only one answer for y for every x.
It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the
value of our function when x equals 2.
f(x)=x+7
ifx=2then
f(2)=2+7=9
A function is linear if it can be defined by
f(x)=mx+b
f(x) is the value of the function.
m is the slope of the line.
b is the value of the function when x equals zero or the y-coordinate of the point where the line
crosses the y-axis in the coordinate plane.
x is the value of the x-coordinate.
Graphing a linear equation
First solve the equation for y,
Then create a table with x, y functions, using the equation to determine y.
Then graph the results.
Graphing Inequalities
Graph the boundaries. Then test a point in each region. If it's less than or greater than it's a dotted
line. If it's less/ greater than or EQUAL to it's a solid line!!
If the function or inequality is absolute, then you need to make a line for positive X and negative X.
Solving systems of linear equations in two variables.
COMPLETE SOLUTIONS 100% 2023/2024
Integer
All whole numbers (both positive and negative) and zero.
rational number
All numbers including fractions and decimals. Ex: 1, -1, -.3
Negative multiplication
A negative number multiplied by an even number equals a positive result.
A negative number multiplied by an odd number equals a negative result. Applies to Powers as well.
square roots
All positive numbers of two square roots. One is positive, the other is negative.
If a square root is a whole number it is a perfect square.
If not it will be an irrational number. See examples in the photo
inequality's
If multiplying or dividing an inequality by a negative number, switch the sign around. Ex: a<c *-b =
-ab>-bc.
Functions and linear equations
A function is an equation that has only one answer for y for every x.
It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the
value of our function when x equals 2.
f(x)=x+7
ifx=2then
f(2)=2+7=9
A function is linear if it can be defined by
f(x)=mx+b
f(x) is the value of the function.
m is the slope of the line.
b is the value of the function when x equals zero or the y-coordinate of the point where the line
crosses the y-axis in the coordinate plane.
x is the value of the x-coordinate.
Graphing a linear equation
First solve the equation for y,
Then create a table with x, y functions, using the equation to determine y.
Then graph the results.
Graphing Inequalities
Graph the boundaries. Then test a point in each region. If it's less than or greater than it's a dotted
line. If it's less/ greater than or EQUAL to it's a solid line!!
If the function or inequality is absolute, then you need to make a line for positive X and negative X.
Solving systems of linear equations in two variables.
