Math [Placement Test Quick Review] Questions & Answers 100% Accurate!!
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Course
Math [Placement
Institution
Math [Placement
Solving for the Original Price - ANSWER(1 - decimal given)x = new price
subtract by 1 to receive new decimal
divide new price by new decimal
example: Yoko bought a suit on sale for
$637. This price was 35% less than the original price.
What was the original price?
(1 - 0.35)x = 637
0.65x ...
Math [Placement Test Quick Review]
Questions & Answers 100% Accurate!!
Solving for the Original Price - ANSWER(1 - decimal given)x = new price
subtract by 1 to receive new decimal
divide new price by new decimal
example: Yoko bought a suit on sale for
$637. This price was 35% less than the original price.
What was the original price?
(1 - 0.35)x = 637
0.65x = 637
x = 980
original price = $980
Finding the sale price without a calculator given the original price and percent discount -
ANSWERConvert percent given into a fraction
Multiply given price with the fraction
Take the given price and subtract it with the answer you found above
example: An item is regularly priced at
$20. It is now priced at a discount of 75% off the regular price. What is the price now?
75% = 3/4
20 x (3/4) = 15
20 - 15 = 5
new price = $5
, Converting between percentages and decimals - ANSWERgo from a percent to decimal --> move
"decimal point" to the left two times (aka percent/100)
example: 370% --> 3.7
go from a decimal to percent --> move decimal point to the right two times (aka decimal x 100)
example:
0.154 --> 15.4%
Solving a value mixture problem using a linear equation - ANSWERMake two linear equations
Use substitution to solve
example: Rafael's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee
costs Rafael $5.90 per pound, and type B coffee costs $4.85 per pound. This month, Rafael made 151
pounds of the blend, for a total cost of $824.75. How many pounds of type B coffee did he use?
$5.90a + $4.85b = $824.75
a + b = 151
a = 151 - b
5.90(151-b) + 4.85b = 824.75
890.90 - 5.90b + 4.85b = 824.75
-1.05b = -66.15
b = 63
63 gallons of type B coffee
Solving an absolute value inequality: Basic - ANSWERremove the absolute value and solve
also solve for the opposite sign ( > becomes < and the number at the right of the sign becomes
opposite ( negative number becomes positive)
example: |v - 5| < 5
v-5=5
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