Math 144 Quiz 1 - claymation artwork

Math 144 Quiz 1

16 Questions 10 min
Math 144 Quiz 1 checks early college math fluency: order of operations, fraction and decimal arithmetic, percent applications, proportions, and one-variable linear equations. Use it to confirm calculator entry habits, unit handling in word problems, and clean algebra steps. It fits students in health sciences, business, and general education sequences.
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1You’re splitting a bill evenly, and your share is 3/4 of the total. What is 3/4 as a decimal?
2A calculator will only match your work if you follow order of operations. Evaluate: 6 + 2 × 3
30.25 is equivalent to 25%.

True / False

4You reduce a recipe and need a fraction in simplest form. Simplify 18/24.
5A restaurant bill is $35 and you leave a 10% tip. What is the tip amount?
6Solve the equation: x + 7 = 12
7To convert 0.32 to a percent, multiply by 100.

True / False

8Evaluate using left-to-right rules: 24 ÷ 6 × 2
9A lab container holds 0.5 L of solution. How many milliliters is that?
10You track four daily step counts (in thousands): 5, 7, 8, 10. What is the mean?
11Evaluate: 18 − 6 ÷ 3 × 2 + 4
12Add the fractions: 2/3 + 1/6
13A patient’s meal plan limits sugar to 15% of 60 grams. How many grams is that?
14In order of operations, you always do all multiplication before any division.

True / False

15Solve: 3x − 5 = 16
16A map uses a scale where 1 inch represents 5 miles. If two towns are 3.4 inches apart on the map, about how far apart are they?
17A jacket costs $80. It is discounted 25%, then 8% sales tax is applied to the discounted price. What is the final cost?
18Solve: x/3 + 2 = 7
19A monthly fee rises from $50 to $65. What is the percent change (rounded to the nearest whole percent)?
20Percent change can be computed as (new − original) ÷ original.

True / False

Math 144 Quiz 1 score killers: order, signs, and setup errors

Order of operations executed out of order

A common loss of points comes from doing all multiplication before division, or all addition before subtraction. On Math 144 Quiz 1, multiplication and division are the same priority, so you must work left to right. Same rule for addition and subtraction.

Negative signs dropped during distribution and combining

Errors often happen in steps like -(3x - 5) turning into -3x - 5 instead of -3x + 5. Write one step per line and keep negatives attached to the term, for example (-5).

Fraction arithmetic shortcuts that change the problem

Students add fractions by adding denominators, or cancel across addition. Only reduce by canceling factors in multiplication, for example (2·3)/(2·5) simplifies, but (2+3)/(2+5) does not.

Percent problems without a clear “whole”

Percent setups fail when the “whole” is not identified. Use Part = Percent × Whole and label each number with units, for example dollars, patients, or miles.

Proportions written with mismatched units

Ratios must match positionally, such as miles/hour = miles/hour. If one side is minutes, convert first or rewrite both as the same unit before cross-multiplying.

Calculator entry without parentheses

Many wrong answers are correct math entered incorrectly. Type complex numerators and denominators with parentheses, and do a quick estimate to see if the result size is reasonable.

Math 144 Quiz 1 printable quick sheet: conversions, percents, proportions, equations

Print or save as PDF: Use your browser print option to keep this Math 144 Quiz 1 quick sheet for last-minute review.

Order of operations (PEMDAS with left-to-right rules)

  • Parentheses
  • Exponents
  • Multiplication and Division left to right
  • Addition and Subtraction left to right

Tip: rewrite a long expression so each line performs one operation.

Fractions

  • Add/Subtract: get a common denominator, combine numerators, then reduce.
  • Multiply: multiply numerators and denominators, then reduce. Cross-cancel only across multiplication.
  • Divide: multiply by the reciprocal. a/b ÷ c/d = a/b × d/c.
  • Sign rule: a negative can be in the numerator, denominator, or in front of the fraction, but not all three.

Decimals and percents

  • Decimal → Percent: multiply by 100. Example: 0.32 = 32%.
  • Percent → Decimal: divide by 100. Example: 14% = 0.14.
  • Fraction → Decimal: numerator ÷ denominator.
  • Percent of a number: convert percent to decimal, then multiply.

Core percent formulas

  • Part = Percent × Whole
  • Percent = Part ÷ Whole
  • Percent change = (New − Original) ÷ Original, then convert to percent

Ratios and proportions

  • Write units in the ratio, for example miles/hour.
  • Cross-multiply: if a/b = c/d, then ad = bc.
  • Check: does the result match the unit you need, for example hours, dollars, or inches.

One-variable linear equations

  • Distribute first if needed.
  • Combine like terms on each side.
  • Use inverse operations to isolate the variable.
  • Plug the solution back in to verify.

Step-by-step Math 144 Quiz 1 examples: order of operations, percent change, and proportions

Example 1: Order of operations with fractions

Simplify: 3/4 + 2 × (5/8) − 1/2

  1. Parentheses: (5/8) stays as is.
  2. Multiply: 2 × (5/8) = 10/8 = 5/4.
  3. Rewrite the expression: 3/4 + 5/4 − 1/2.
  4. Common denominator: use 4. Convert 1/2 to 2/4.
  5. Combine: 3/4 + 5/4 − 2/4 = (3 + 5 − 2)/4 = 6/4.
  6. Reduce: 6/4 = 3/2 = 1.5.

Example 2: Percent change in a word problem

A clinic’s daily patient count increased from 120 to 150. Find the percent increase.

  1. Identify original and new: Original = 120, New = 150.
  2. Compute change: New − Original = 150 − 120 = 30.
  3. Divide by original: 30 ÷ 120 = 0.25.
  4. Convert to percent: 0.25 = 25%.
  5. Reason check: 150 is one quarter more than 120, so 25% fits.

Example 3: Proportion with unit consistency

If 4 notebooks cost $6, how much do 10 notebooks cost at the same rate?

  1. Set up matching ratios: dollars/notebook = dollars/notebook.
  2. 6/4 = x/10.
  3. Cross-multiply: 6 × 10 = 4x, so 60 = 4x.
  4. Solve: x = 15. Cost is $15.

Math 144 Quiz 1 FAQ: answers, study focus, and setup checks

Where can I find MAT 144 Quiz 1 answers?

Use your course resources first. Many Math 144 quizzes are instructor-written or LMS-randomized, so “answer keys” posted online often do not match your version and can violate academic integrity rules. Ask your instructor or tutoring center for a solution walkthrough, and use practice problems to confirm the method.

Why does left-to-right matter for multiplication and division?

Multiplication and division share the same priority level. In an expression like 24 ÷ 3 × 2, you evaluate left to right: (24 ÷ 3) × 2 = 16. If you multiply first, you change the grouping and get a different value.

What is the fastest reliable way to move between fractions, decimals, and percents?

Use one consistent pipeline. Fraction → Decimal uses numerator ÷ denominator. Decimal → Percent multiplies by 100. Percent → Decimal divides by 100. For example, 3/5 = 0.6 = 60%. Write the intermediate form so you can catch decimal placement mistakes.

How do I check that my proportion is set up correctly before cross-multiplying?

Write units in each ratio position before adding numbers. If you want miles per hour, both sides must be miles/hour, not miles/minute on one side. After solving, verify the unit and do a quick reason check by comparing to a unit rate.

I keep missing early algebra questions. What should I practice outside this quiz?

Focus on distribution, combining like terms, and isolating a variable with inverse operations. Extra timed practice helps with sign control and clean steps. If you want more linear-equation reps, try the Fraction Skills Practice for 5th Grade.

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