Digital SAT (MATH) Questions and
correct answers
MADSPM ✔️✔️Correct Ans-used for solving exponents
multiply--> add / divide-->subtract / power-->multiply
behavior of roots ✔️✔️Correct Ans-the square root of a number between 0 and 1 is larger than the
original number (√1/4=1/2 --> 1/2>1/4)
bowtie method ✔️✔️Correct Ans-used for multiplying fractions
1/3+1/2= (1x2)+(3x1)/(3x2)= 2+3/6= 5/6
PEMDAS ✔️✔️Correct Ans-Parentheses, Exponents, Multiplication, Division, Addition, Subtraction --
> from left to right
ballpark ✔️✔️Correct Ans-eliminate answers that are not in the range of a possible solution
word problem basic approach ✔️✔️Correct Ans-1. read the final question (RTFQ) - "what is" "how
many," understand the actual question being asked. write down key words.
2. let the answers point the way - use the answer type to help determine how to start working on the
question
3. work in bite-size pieces - find one piece to start with, then work piece-by-piece until the final
question has been answered
4. use POE - check to see whether any answers can be eliminated after each bite sized piece
figure facts ✔️✔️Correct Ans-1. what are the variables for each axis or the headings for the table?
2. what units are used for each variable?
3. are there any key pieces of information in the legend of the chart that you should note?
4. what type of relationship is shown by the data in the chart? For instance, if the chart includes curves
that show an upward slope, then the graph shows a POSITIVE ASSOCIATION, while curves that
show a downward slop show a NEGATIVE ASSOCIATION.
term ✔️✔️Correct Ans-the equivalent of a word, it can be just a number, just a variable, or a number
multiplied by a variable. (18, -2x, 5y)
, expression ✔️✔️Correct Ans-like a phrase or clause, it is a combination of terms and mathematical
operations with no equals or inequality sign. (9x2+3x)
polynomial ✔️✔️Correct Ans-any expression containing two or more terms
inequality ✔️✔️Correct Ans-when you multiply or divide an inequality by a negative number, you must
reverse the inequality sign.
word problems ✔️✔️Correct Ans-look for the most straightforward piece of information
quadratic formula ✔️✔️Correct Ans-FOIL to get the plus/minus out of the answer
the roots of the problems ✔️✔️Correct Ans-sum of the roots: -b/a
product of the roots: c/a
Discriminant ✔️✔️Correct Ans-the discriminant, D, of a quadradic in the standard form is
(bxb)-4ac
1. if the discriminant is positive, the quadradic has 2 real roots
2. if the discriminant equals 0, the quadradic has 1 real solution
3. if the discriminant is negative, the quadratic formula had no real solution
solve using PITA ✔️✔️Correct Ans-1. rewrite the answer choices on your scratch paper and label them.
2. starting with one of the middle answer choices, work the steps of the problem
3. look for something in the question that tells you what must happen for the answer to be correct
4. when you find the correct answer, STOP
when to use PITA ✔️✔️Correct Ans-1. there are numbers in the answer choices
2. the question asks for a specific amount. Look for phrases like "the number of," "what was," or
"how many."
3. you have the urge to write an algebraic equation to solve the problem
plugging in your own numbers ✔️✔️Correct Ans-1. pick numbers for the variables in the equation
correct answers
MADSPM ✔️✔️Correct Ans-used for solving exponents
multiply--> add / divide-->subtract / power-->multiply
behavior of roots ✔️✔️Correct Ans-the square root of a number between 0 and 1 is larger than the
original number (√1/4=1/2 --> 1/2>1/4)
bowtie method ✔️✔️Correct Ans-used for multiplying fractions
1/3+1/2= (1x2)+(3x1)/(3x2)= 2+3/6= 5/6
PEMDAS ✔️✔️Correct Ans-Parentheses, Exponents, Multiplication, Division, Addition, Subtraction --
> from left to right
ballpark ✔️✔️Correct Ans-eliminate answers that are not in the range of a possible solution
word problem basic approach ✔️✔️Correct Ans-1. read the final question (RTFQ) - "what is" "how
many," understand the actual question being asked. write down key words.
2. let the answers point the way - use the answer type to help determine how to start working on the
question
3. work in bite-size pieces - find one piece to start with, then work piece-by-piece until the final
question has been answered
4. use POE - check to see whether any answers can be eliminated after each bite sized piece
figure facts ✔️✔️Correct Ans-1. what are the variables for each axis or the headings for the table?
2. what units are used for each variable?
3. are there any key pieces of information in the legend of the chart that you should note?
4. what type of relationship is shown by the data in the chart? For instance, if the chart includes curves
that show an upward slope, then the graph shows a POSITIVE ASSOCIATION, while curves that
show a downward slop show a NEGATIVE ASSOCIATION.
term ✔️✔️Correct Ans-the equivalent of a word, it can be just a number, just a variable, or a number
multiplied by a variable. (18, -2x, 5y)
, expression ✔️✔️Correct Ans-like a phrase or clause, it is a combination of terms and mathematical
operations with no equals or inequality sign. (9x2+3x)
polynomial ✔️✔️Correct Ans-any expression containing two or more terms
inequality ✔️✔️Correct Ans-when you multiply or divide an inequality by a negative number, you must
reverse the inequality sign.
word problems ✔️✔️Correct Ans-look for the most straightforward piece of information
quadratic formula ✔️✔️Correct Ans-FOIL to get the plus/minus out of the answer
the roots of the problems ✔️✔️Correct Ans-sum of the roots: -b/a
product of the roots: c/a
Discriminant ✔️✔️Correct Ans-the discriminant, D, of a quadradic in the standard form is
(bxb)-4ac
1. if the discriminant is positive, the quadradic has 2 real roots
2. if the discriminant equals 0, the quadradic has 1 real solution
3. if the discriminant is negative, the quadratic formula had no real solution
solve using PITA ✔️✔️Correct Ans-1. rewrite the answer choices on your scratch paper and label them.
2. starting with one of the middle answer choices, work the steps of the problem
3. look for something in the question that tells you what must happen for the answer to be correct
4. when you find the correct answer, STOP
when to use PITA ✔️✔️Correct Ans-1. there are numbers in the answer choices
2. the question asks for a specific amount. Look for phrases like "the number of," "what was," or
"how many."
3. you have the urge to write an algebraic equation to solve the problem
plugging in your own numbers ✔️✔️Correct Ans-1. pick numbers for the variables in the equation
