CSET MULTIPLE SUBJECT 1
COMPREHENSIVE EXAM 2026 STUDY
MATERIALS WITH FULL VERIFIED
SOLUTIONS
⩥ Percent to a fraction. Answer: 12% = 12/100
⩥ Fractions with Common Denominator. Answer: 2/3 x 3/4 x 1/2 =
16/24, 18/24/, 12/24
⩥ Fraction on a Number Line. Answer: 11/16 (Please excuse my dear
aunt sally)
⩥ Distributive Property. Answer: A( B + C)
⩥ Commutitive Property. Answer: A + B = B + A
⩥ Associative Property. Answer: A + (B + C) = (A + B) + C
⩥ A Perfect square. Answer: Square Root of 144 is 12
⩥ Additive Inverse Property. Answer: 4 + -4 = 0
,⩥ Multiplicitive Inverse Property. Answer: 4 x 1/4 = 1
⩥ Function. Answer: Function w/out exponent generally produces a
straight line (Stem Line).
Function with exponent generally produces a curved line
⩥ Slope Formula. Answer: y=mx+b
rise/run or change in y over change in x
⩥ Factoring Equations. Answer: (3x + 3y + z) + 2 ( x+y+z) = 5 (x + y +
z)
⩥ Slope Formula 2. Answer: y2-y1/x2-x1
⩥ Y Intercept. Answer: the point where the line crosses the y axis the
value for y when x=0.
⩥ Ratio. Answer: A comparison of two quantities.
2 choc. chips/every 4 oatmeal cookies
, ⩥ Ratios Cont.. Answer: When we know two rations are proportionate,
and we have 3 of 4 quantities, we can solve for the 4th using cross
multiplication.
Ex. Alicia is using a garden hose to fill a pool. For every 2 min = 3 in of
water. How long if she wants 2 ft depth? 2/3 = x/21 = 3x = 42. X = 14
min.
⩥ Parabola Formula. Answer: The U-shaped graph of a quadratic
function
Parabula Formula
⩥ Inequalities. Answer: a mathematical sentence involving <, >, or =
plus < or >.
Solve: 5. -3x -1
When graphing inequalities, begin by graphing the line then determine
the shading (+ up, - down).
⩥ Solve for systems of equations and quadratic equations. Answer:
Eliminate one of the variables and solve for x and y. 2x + y = 3
3x + 2y = 9
x = -3 & plug in to find Y. Y= 9.
COMPREHENSIVE EXAM 2026 STUDY
MATERIALS WITH FULL VERIFIED
SOLUTIONS
⩥ Percent to a fraction. Answer: 12% = 12/100
⩥ Fractions with Common Denominator. Answer: 2/3 x 3/4 x 1/2 =
16/24, 18/24/, 12/24
⩥ Fraction on a Number Line. Answer: 11/16 (Please excuse my dear
aunt sally)
⩥ Distributive Property. Answer: A( B + C)
⩥ Commutitive Property. Answer: A + B = B + A
⩥ Associative Property. Answer: A + (B + C) = (A + B) + C
⩥ A Perfect square. Answer: Square Root of 144 is 12
⩥ Additive Inverse Property. Answer: 4 + -4 = 0
,⩥ Multiplicitive Inverse Property. Answer: 4 x 1/4 = 1
⩥ Function. Answer: Function w/out exponent generally produces a
straight line (Stem Line).
Function with exponent generally produces a curved line
⩥ Slope Formula. Answer: y=mx+b
rise/run or change in y over change in x
⩥ Factoring Equations. Answer: (3x + 3y + z) + 2 ( x+y+z) = 5 (x + y +
z)
⩥ Slope Formula 2. Answer: y2-y1/x2-x1
⩥ Y Intercept. Answer: the point where the line crosses the y axis the
value for y when x=0.
⩥ Ratio. Answer: A comparison of two quantities.
2 choc. chips/every 4 oatmeal cookies
, ⩥ Ratios Cont.. Answer: When we know two rations are proportionate,
and we have 3 of 4 quantities, we can solve for the 4th using cross
multiplication.
Ex. Alicia is using a garden hose to fill a pool. For every 2 min = 3 in of
water. How long if she wants 2 ft depth? 2/3 = x/21 = 3x = 42. X = 14
min.
⩥ Parabola Formula. Answer: The U-shaped graph of a quadratic
function
Parabula Formula
⩥ Inequalities. Answer: a mathematical sentence involving <, >, or =
plus < or >.
Solve: 5. -3x -1
When graphing inequalities, begin by graphing the line then determine
the shading (+ up, - down).
⩥ Solve for systems of equations and quadratic equations. Answer:
Eliminate one of the variables and solve for x and y. 2x + y = 3
3x + 2y = 9
x = -3 & plug in to find Y. Y= 9.
