college placement test-math Exam with verified solutions 2024
terms - answer 12, -3, x(variable), 15y, 11xy, -4x^2, -a, either a single number or variable, or numbers and variables multiplied together.
Terms are separated by + or − signs
Coefficients - answer # associated with each of those terms is called coefficient(12, -3, 1,15, 11, -4, -1, 3
expression - answer adding 1 or more terms together
linear equation - answer equation has =sign. ex of linear eq: 4x+3=11
a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, y=6x+2y=6x+2 is linear because it has no squares, cubes, square roots, sines, etc. Linear equations can always be manipulated to take this form:
ax+b=0
rule - answer if you do something to one side of the equation, you must do it to the other
how to solve a linear equation-4 steps - answer 1.) get rid of parentheses&combine like terms
2.) get all terms w/ the variable on one side& all other terms to other side - answer 3.) isolate variable by
dividing
4.) check answer - answer percents - answer per=dividing, cents=100, like in a dollar
41% over 100 =.41 - answer take decimal place, move it two places to the right
solving percent equations - answer "of"=multiply
"is"= equals - answer "out of"=division
96% of what #is 72? - answer "what" or "what #" = x(the unknown) .96 times x =72 .96x over .96 =72 over .96, x= 72 divided by .96
x=75
7 is 4% of what #? - answer 7 = .04 times x
ratios - answer A comparison of two quantities by division
proportions - answer An equation stating that two ratios are equal.
unit ratio - answer A unit rate where the denominator is one unit
cross products - answer The product of the numerator of one ratio and the denominator of the other ratio, can equal to each other and if they do, then it is proportional
unit conversions - answer distance=yards, feet, meters, centimeters, millimeters, miles, kilometers
terms - answer 12, -3, x(variable), 15y, 11xy, -4x^2, -a, either a single number or variable, or numbers and variables multiplied together.
Terms are separated by + or − signs
Coefficients - answer # associated with each of those terms is called coefficient(12, -3, 1,15, 11, -4, -1, 3
expression - answer adding 1 or more terms together
linear equation - answer equation has =sign. ex of linear eq: 4x+3=11
a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, y=6x+2y=6x+2 is linear because it has no squares, cubes, square roots, sines, etc. Linear equations can always be manipulated to take this form:
ax+b=0
rule - answer if you do something to one side of the equation, you must do it to the other
how to solve a linear equation-4 steps - answer 1.) get rid of parentheses&combine like terms
2.) get all terms w/ the variable on one side& all other terms to other side - answer 3.) isolate variable by
dividing
4.) check answer - answer percents - answer per=dividing, cents=100, like in a dollar
41% over 100 =.41 - answer take decimal place, move it two places to the right
solving percent equations - answer "of"=multiply
"is"= equals - answer "out of"=division
96% of what #is 72? - answer "what" or "what #" = x(the unknown) .96 times x =72 .96x over .96 =72 over .96, x= 72 divided by .96
x=75
7 is 4% of what #? - answer 7 = .04 times x
ratios - answer A comparison of two quantities by division
proportions - answer An equation stating that two ratios are equal.
unit ratio - answer A unit rate where the denominator is one unit
cross products - answer The product of the numerator of one ratio and the denominator of the other ratio, can equal to each other and if they do, then it is proportional
unit conversions - answer distance=yards, feet, meters, centimeters, millimeters, miles, kilometers
