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HESI A2- MATHEMATICS EXAM QUESTIONS
Actual Qs and Ans Expert-Verified Explanation
This Exam contains:
-Guarantee passing score -97 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation
Question 1: - An expressions is simply a set of terms (3x + 2xy)
Answer:
An Equation Question 2: - To solve an equation, you need to manipulate the terms on each side to isolate the variable,
Answer:
Inequalities
Question 3: Probability equation
Answer:
Probability = desired outcomes/ total number of outcomes
Question 4: - Divide the numerator by the denominator.
-The resulting whole number is placed to the left of the fraction, and the remainder becomes the new numerator; the denominator does not change. the result is called a mixed number
Answer:
Turning a mixed number into an improper fraction
Question 5: -16oz
-0.454kg
Answer:
- cal=
Question 6: 1
Answer:
V
Question 7: Distance word problems
Answer:
- Distance = speed x time
- Time = distance/speed
- Speed = distance/ time
Question 8: Finding percent change from amount of change and original amt.
Answer:
-percent change = amt. of change/ original amt.-Percents should always be expressed as a decimal in this equation.-To convert a decimal into a percentage value, simply multiply it by 100
Question 9: a fraction whose numerator is larger than the denominator
Answer:
proper fraction
Question 10: -4 quarts
-8 pints -16 cups -3.785 Liters
Answer:
- mile=
Question 11: -5280 ft
-1.61km
Answer:
- hour
Question 12: Equals key words
Answer:
- Is, was, are, amounts to, and were
Question 13: > means greater than: the expression left of the symbol is larger than the expression on the right
Answer:
Less than
Question 14: Finding original amt. from amt of change and percent change
Answer:
- Original amt. = amt. of change/ percent change
-Percents should always be expressed as a decimal in this equation.-To convert a decimal into a percentage value, simply multiply it by 100
Question 15: 500
Answer:
M Question 16: - Collect like terms on each side as you would for a regular equation: -7x + 2 < 6- 5x --> -2x < 4 The direction of the sign switches when you divide by a negative number -2x < 4 --> x > -2
Answer:
Absolute Value
Question 17: A whole number and a fraction together.
Answer:
Turning a improper fraction to a proper fraction
Question 18: a fraction with a numerator smaller than the denominator
Answer:
Mixed numbers
Question 19: Finding the 4th value in a proportion
Answer:
- Often you will be given 3 of the values in a proportion and asked to find the 4th.
- you can solve for the missing variable by cross-multiplying
- You can then solve the equation using basic algebra.
-Multiply the numerator of each fraction by the denominator of the other to get an equation with no fractions
Question 20: Proportions
Answer:
- An equation which states that 2 ratios are equal.
- Usually written as 2 fractions joined by an equal sign, but can also be written using colons (a:b::c:d)
- In a proportion, the units must be the same in both numerators and in both denominators.
- A fraction with variables in its simplest form will not have the same variable on the top and
Question 21: - When variables occur in both the numerator and denominator of a fraction, they cancel each other out.
bottom
Answer:
Solving Equations
Question 22: Finding percent from part and whole
Answer:
Percent = part/whole -Percents should always be expressed as a decimal in this equation.-To convert a decimal into a percentage value, simply multiply it by 100
Question 23: Percent Change Problems
Answer:
- Percent change problems will ask you to calculate how much a given quantity changed.
-the problems are solved in a similar way to regular percent problems, except that instead of using the part, you'll use the amount of change -The sign of the amount of change is important -If the original amount has increased, the change will be positive -If the original amount has decreased, the change will be negative.
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