Math Formulas and Problem-Solving Mid-Term Exam Prep, Cheat Sheet of Nursing

A compilation of math problems and formulas, likely intended as a study aid or exam preparation material. It covers a range of topics including combining like terms, solving equations with given values, finding areas and circumferences, identifying prime numbers, and calculating statistical measures such as median, mean, mode, and range. Additionally, it includes various algebraic formulas like the quadratic formula, slope, slope-intercept form, and formulas for factoring and expanding expressions. The document also provides definitions for key mathematical concepts such as sine, cosine, tangent, direct and inverse variation, and geometric terms related to circles and other shapes. It serves as a quick reference for students studying algebra and geometry, offering a concise overview of essential formulas and problem-solving techniques.

Typology: Cheat Sheet

2024/2025

Available from 06/11/2025

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Math Problem Mid-Term Exam
HTCS8/ACT Math Formulas
8w+10y4
- find/combine like terms
4w+5y2+4w+5y2
18y
- find/combine like terms
6y-6y+9y+9y
7u+7y-6w4
- find/combine like terms
7u+7y-3w2+3w2
20
- a=3 b=1 c=5
6(a)(b)+7-c
48
- a=8 b=0 c=2
8(c)-7(b)+a(4)
31.4cm2
- find the area of a circle with the radius of 5cm.
43.96cm
- find the circumference with the radius of 7cm.
56.52cm2
- find the area of a circle with the radius of 9cm.
9.42cm
- find the circumference with the diameter of 3cm.
14in
- find the area of the triangle with the base of 4in and the height (added) of 7in.
3.5in
- find the area of the triangle with the height (added) 1in and the base 5in.
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Math Problem Mid-Term Exam

HTCS8/ACT Math Formulas

8w+10y

  • find/combine like terms 4w+5y2+4w+5y 18y
  • find/combine like terms 6y-6y+9y+9y 7u+7y-6w
  • find/combine like terms 7u+7y-3w2+3w 20
  • a=3 b=1 c= 6(a)(b)+7-c 48
  • a=8 b=0 c= 8(c)-7(b)+a(4) 31.4cm
  • find the area of a circle with the radius of 5cm. 43.96cm
  • find the circumference with the radius of 7cm. 56.52cm
  • find the area of a circle with the radius of 9cm. 9.42cm
  • find the circumference with the diameter of 3cm. 14in
  • find the area of the triangle with the base of 4in and the height (added) of 7in. 3.5in
  • find the area of the triangle with the height (added) 1in and the base 5in.
  • find the surface area with the height of 4cm, the base of 6cm, and the side of 6cm. ...
  • find the surface area with the height of 7cm, the base of 5cm, and the side of 3cm. 2, 3, 5, 7, 11
  • list the first 5 prime numbers 1
  • which number is neither prime nor composite? ...
  • find the median of the following numbers: 10, 12, 3, 12, 5, 9, 8, 4, 3, 3, 5, 7, 6, 4 ...
  • find the mean of the following numbers: 10, 12, 3, 8, 3, 4, 2, 1, 12, 10, 10 ...
  • find the mode of the following numbers: 10, 12, 3, 12, 5, 9, 8, 4, 3, 3, 5, 7, 6, 4 ...
  • find the range of the following numbers: 10, 12, 3, 8, 3, 4, 2, 1, 12, 10, 10 ...
  • find the area of the circle with the radius of 9cm. ...
  • find the area of the circle with the diameter of 4cm. median
  • the number that is in the middle. mode
  • the number that occurs the most. range
  • the difference of the least and most numbers. mean
  • the average of all the numbers.

Inverse Variation

  • y=k/x Slope intercept form
  • y=mx+b Point-Slope form
  • y-y₁=m(x-x₁) Standard form
  • Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative Undefined
  • When there is a vertical line that has different y points, but the same x point Zero
  • When there is a horizontal line that has different x points, but the same y point Dividing by a negative number in an inequality
  • You must flip the sign Graphing < or > on a coordinate plane
  • dotted line Graphing ≥ or ≤ on a coordinate plane
  • solid line Graphing ≥ or > on a coordinate plane
  • shade upwards or to the right Graphing ≤ or < on a coordinate plane
  • shade downwards or to the left Infinitely many solutions
  • when the system of equations have the same slope and y-intercept One solution
  • when the system of equations have different slopes No solution
  • when the system of equations have the same slope but different y-intercepts All direct variations are ____________________
  • linear functions

A linear function is a function that _____________ a line

  • graphs A parent function is the simplest ____________ of a function
  • equation Linear parent function
  • y=x or f(x)=x Elimination method
  • solving systems by adding or subtracting equations to eliminate a variable Solution of the system of linear equations
  • Any ordered pair in a system that makes all the equations true Graphing method
  • Graphing the system of equations and finding the point at which they intersect Substitution method
  • Replacing one variable with an equivalent expression containing the other variable Absolute value equation
  • A V-shaped graph that points upward of downward Translation
  • A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position. Area of a circle
  • Πr² Area of a square
  • s², where s = length of a side Area of a triangle
  • ½(base x height) [or (base x height)÷2] Area of a trapezoid
  • ½(b₁ +b₂) x h [or (b₁ +b₂) x h÷2] Perimeter of a rectangle
  • 2Length + 2width [or (length + width) x 2] Perimeter of a square
  • 4s (where s = length of a side)