8th Grade Math Placement Test
Common Mistakes
Mistakes to check for on a test - ANSWER-1. make sure negative numbers are
multiplied correctly
2. Make sure the instructions are read correctly
3. check for arithmetic errors
4. Simplify NEGATIVE EXPONENTS
5. check for bad handwriting
6. when writing an intercept coordinate, include both x and y
7. if a number is multiplying a fraction, only distribute it to the top.
8. simplify fractions
9. make sure problem is copied correctly
10. READ THE ENTIRE PROBLEM
Complimentary Angles - ANSWER-two angles that add up to 90 degrees
dependant equations - ANSWER-One equation that is a multiple of another
independant equations - ANSWER-neither equations is a mutiple of another
Same graph equations solution - ANSWER-infinite solutions
parallel lines - ANSWER-no solutions
intersecting lines - ANSWER-1 solution
sqrt(1) - ANSWER-1
cbrt 27 - ANSWER-3
cbrt 64 - ANSWER-4
cbrt 125 - ANSWER-5
cbrt 216 - ANSWER-6
fourth root of 81 - ANSWER-3
fourth root of 256 - ANSWER-4
fourth root of 625 - ANSWER-5
, fifth root of 2 - ANSWER-32
fifth root of 243 - ANSWER-3
for ax^2+bx+c = 0
Types of numbers - ANSWER-natural: greater than 0 and has no decimal or fraction
Whole: natural numbers and 0
Integer: positive/negative numbers and 0
Rational: can be represented as fraction or decimal , must terminate or resolve into
repeating pattern
Irrational: cannot be represented as a fraction, decimal never ends or resolves into
pattern (ex. pi)
Real: number that can be represented by a point on a number line. Includes all
rational/irrational
Imaginary: includes the imaginary unit i = square root of -1.
complex: in the form of a + bi where a and b are real numbers
How to convert repeating decimals - ANSWER-0.9 repeating = 1
0.1 repeating = 1/9
0.2 repeating = 2/9
0.13 repeating = 13/99
0.95 repeating = 45/99
0/11 = - ANSWER-0
12/0 = - ANSWER-undefined
0/0 = - ANSWER-indeterminate
GEMDAS (Order of Operations) - ANSWER-Grouping symbols
Exponents
Multiplication/Division
Addition/Subtraction
Common Mistakes
Mistakes to check for on a test - ANSWER-1. make sure negative numbers are
multiplied correctly
2. Make sure the instructions are read correctly
3. check for arithmetic errors
4. Simplify NEGATIVE EXPONENTS
5. check for bad handwriting
6. when writing an intercept coordinate, include both x and y
7. if a number is multiplying a fraction, only distribute it to the top.
8. simplify fractions
9. make sure problem is copied correctly
10. READ THE ENTIRE PROBLEM
Complimentary Angles - ANSWER-two angles that add up to 90 degrees
dependant equations - ANSWER-One equation that is a multiple of another
independant equations - ANSWER-neither equations is a mutiple of another
Same graph equations solution - ANSWER-infinite solutions
parallel lines - ANSWER-no solutions
intersecting lines - ANSWER-1 solution
sqrt(1) - ANSWER-1
cbrt 27 - ANSWER-3
cbrt 64 - ANSWER-4
cbrt 125 - ANSWER-5
cbrt 216 - ANSWER-6
fourth root of 81 - ANSWER-3
fourth root of 256 - ANSWER-4
fourth root of 625 - ANSWER-5
, fifth root of 2 - ANSWER-32
fifth root of 243 - ANSWER-3
for ax^2+bx+c = 0
Types of numbers - ANSWER-natural: greater than 0 and has no decimal or fraction
Whole: natural numbers and 0
Integer: positive/negative numbers and 0
Rational: can be represented as fraction or decimal , must terminate or resolve into
repeating pattern
Irrational: cannot be represented as a fraction, decimal never ends or resolves into
pattern (ex. pi)
Real: number that can be represented by a point on a number line. Includes all
rational/irrational
Imaginary: includes the imaginary unit i = square root of -1.
complex: in the form of a + bi where a and b are real numbers
How to convert repeating decimals - ANSWER-0.9 repeating = 1
0.1 repeating = 1/9
0.2 repeating = 2/9
0.13 repeating = 13/99
0.95 repeating = 45/99
0/11 = - ANSWER-0
12/0 = - ANSWER-undefined
0/0 = - ANSWER-indeterminate
GEMDAS (Order of Operations) - ANSWER-Grouping symbols
Exponents
Multiplication/Division
Addition/Subtraction