COLLEGE MATH PLACEMENT TEST EXAM WITH COMPLETE
QUESTIONS AND ANSWERS COMPILATION, VERIFIED
SOLUTIONS WITH DETAILED EXPLANATIONS | 2026/2027 UPDATE
|GRADED A+
how to find domain with a given equation -
CORRECT|ANSWER
-if a fraction, set denom. to zero, then solve
-in equation, plug in 0 for x
*usually can be a + or - solution*
(-) + (-)= ...
(-) x (-)= ...
(-) divided by a (-)= ... -
CORRECT|ANSWER
(-)
(+)
(+)
quotient -
CORRECT|ANSWER
division
adding and subtracting fractions -
CORRECT|ANSWER
-make denoms the same
-add/subtract numerators
multiplying fractions -
CORRECT|ANSWER
just multiply numerators across and denoms across and simplify
, dividing fraction -
CORRECT|ANSWER
multiply by reciprocal (change second fraction to reciprocal)
multiplying/dividing/adding mixed fractions -
CORRECT|ANSWER
turn them into regular fractions (multiplying # by denom, adding it to num, keeping denom the
same) and continue
subtracting mixed fractions -
CORRECT|ANSWER
*first: make denoms the same*
set up as if you're subtracting two large numbers (on top and on bottom)
how to solve problems like 5-2 (1/3) -
CORRECT|ANSWER
1) make problem 5- (2 (1/3))
2) separate : 5- 2- (1/3) to get: 3- (1/3)
3) rewrite whole #: 2+1- (1/3)
4) rewrite as: 2 + (3/3) - (1/3) to ed up with:
2 (2/3)
inequality problem rule (<, >, etc like problems) -
CORRECT|ANSWER
When *multiplying/dividing* each side by a *positive* number, the inequality sign *stays the same*
When *multiplying/dividing* each side by a *negative* number, we *flip* the inequality sign.
area and circumference of circle -
CORRECT|ANSWER
A= pi x r^2
C= 2 x pi x r
QUESTIONS AND ANSWERS COMPILATION, VERIFIED
SOLUTIONS WITH DETAILED EXPLANATIONS | 2026/2027 UPDATE
|GRADED A+
how to find domain with a given equation -
CORRECT|ANSWER
-if a fraction, set denom. to zero, then solve
-in equation, plug in 0 for x
*usually can be a + or - solution*
(-) + (-)= ...
(-) x (-)= ...
(-) divided by a (-)= ... -
CORRECT|ANSWER
(-)
(+)
(+)
quotient -
CORRECT|ANSWER
division
adding and subtracting fractions -
CORRECT|ANSWER
-make denoms the same
-add/subtract numerators
multiplying fractions -
CORRECT|ANSWER
just multiply numerators across and denoms across and simplify
, dividing fraction -
CORRECT|ANSWER
multiply by reciprocal (change second fraction to reciprocal)
multiplying/dividing/adding mixed fractions -
CORRECT|ANSWER
turn them into regular fractions (multiplying # by denom, adding it to num, keeping denom the
same) and continue
subtracting mixed fractions -
CORRECT|ANSWER
*first: make denoms the same*
set up as if you're subtracting two large numbers (on top and on bottom)
how to solve problems like 5-2 (1/3) -
CORRECT|ANSWER
1) make problem 5- (2 (1/3))
2) separate : 5- 2- (1/3) to get: 3- (1/3)
3) rewrite whole #: 2+1- (1/3)
4) rewrite as: 2 + (3/3) - (1/3) to ed up with:
2 (2/3)
inequality problem rule (<, >, etc like problems) -
CORRECT|ANSWER
When *multiplying/dividing* each side by a *positive* number, the inequality sign *stays the same*
When *multiplying/dividing* each side by a *negative* number, we *flip* the inequality sign.
area and circumference of circle -
CORRECT|ANSWER
A= pi x r^2
C= 2 x pi x r