D771 WGU Quantitative Literacy Practice Exam Questions With Correct Answers.

What is an equation? - Correct Answers A math statement showing two expressions are equal, connected by an equal sign (=). What is an expression? - Correct Answers A math phrase without an equal sign. Example of an equation? - Correct Answers8 + 3 = 11. Example of an expression? - Correct Answers8 + 3. How do you solve for an unknown in an equation? - Correct Answers Apply the same operation to both sides until the unknown is isolated. What is a variable? - Correct Answers A symbol (like x) that represents an unknown value. What is a constant? - Correct Answers A fixed value that does not change. What is a coefficient? - Correct Answers A number multiplied by a variable (in 5x, 5 is the coefficient). How do you multiply fractions? - Correct Answers Multiply numerators together and denominators together. How do you divide fractions? - Correct Answers Multiply by the reciprocal of the divisor. How do you add/subtract fractions? - Correct Answers Rewrite with a common denominator, then add/subtract numerators. What is a reciprocal? - Correct Answers The flipped version of a fraction (e.g., 3/4 → 4/3). What does percent mean? - Correct Answers Per hundred. How do you convert a decimal to a percent? - Correct AnswersMultiply by 100. (0.25 → 25%). How do you convert a percent to a decimal? - Correct AnswersDivide by 100. (75% → 0.75). How do you find 10% of a number quickly? - Correct AnswersMove the decimal one place to the left. Example: What is 25% of 200? - Correct Answers200 × 0.25 = 50. What is a ratio? - Correct AnswersA comparison of two numbers (e.g., 2:3). What is a rate? - Correct AnswersA ratio with different units (e.g., miles/hour). What is a unit rate? - Correct AnswersA rate with denominator of 1 (e.g., $2 per slice). What is a proportion? - Correct AnswersAn equation showing two ratios are equal. How do you solve a proportion? - Correct AnswersCross multiply and divide. Example: 3/4 = x/12. Solve for x. - Correct Answersx = 9. How do you find the perimeter of a rectangle? - Correct Answers2 × length + 2 × width. Example: Rectangle 10 ft by 14 ft perimeter? - Correct Answers48 ft. What is the circumference of a circle? - Correct AnswersDistance around a circle. Formula for circumference using diameter? - Correct AnswersC = π × diameter. Formula for circumference using radius? - Correct AnswersC = 2πr. Approximate value of π? - Correct Answers3.14. What does ≈ mean? - Correct AnswersAbout equal to. What is a conversion factor? - Correct AnswersA ratio that compares two equivalent values in different units. How do you convert 150 minutes into hours? - Correct Answers150 × (1 hr / 60 min) = 2.5 hours. How do you convert inches to feet? - Correct AnswersDivide by 12. What is a function? - Correct AnswersA relation where each input has exactly one output. What is function notation? - Correct Answersy = f(x). What is a linear function? - Correct AnswersA function that forms a straight line, written as y = mx + b. In y = mx + b, what does m represent? - Correct AnswersThe slope (rate of change). In y = mx + b, what does b represent? - Correct AnswersThe y-intercept (starting value). Example: $2000 setup fee + $30 per person. Function? - Correct Answersy = 30x + 2000. What is linear growth? - Correct AnswersIncrease by the same fixed amount each step. What is exponential growth? - Correct AnswersIncrease by the same fixed percentage each step. Linear growth recursive formula? - Correct AnswersPn = Pn−1 + d. Linear growth explicit formula? - Correct AnswersPn = P0 + dn. Exponential growth explicit formula? - Correct AnswersPn = P0(1 + r)^n. Example of linear growth: 437 bottles + 32/year. Formula? - Correct AnswersPn = 437 + 32n. Example of exponential growth: $10,000 at 5% interest. Formula? - Correct Answersy = 10,000(1.05)^n. What are net earnings? - Correct AnswersIncome after taxes are deducted. What are expenses? - Correct AnswersMoney spent on housing, food, transportation, etc. What is the 80/20 budgeting rule? - Correct AnswersSpend 80%, save 20%. What is good debt? - Correct AnswersStudent loans or mortgages that build value. What is bad debt? - Correct AnswersHigh-interest credit card debt. Formula for retail price with markup? - Correct AnswersRetail = Cost × (1 + markup). Example: Item costs $50, 20% markup. Price? - Correct Answers$60.00. Formula for sales tax? - Correct AnswersTotal = Price × (1 + tax rate). Example: $500 laptop with 8% tax. Price? - Correct Answers$540.00. How do you calculate discount price? - Correct AnswersPrice × (1 − discount rate). Example: $80 item, 25% off. Price? - Correct Answers$60.00. What is mean? - Correct AnswersThe average of numbers. What is median? - Correct AnswersThe middle value in ordered data. What is mode? - Correct AnswersThe most frequent value. What is range? - Correct AnswersLargest value − smallest value. What is probability? - Correct AnswersChance of an event happening, between 0 and 1. Example: Coin flip probability of heads? - Correct Answers0.5. Variable in math - Correct AnswersA symbol (often a letter) that represents an unknown value. Equation - Correct AnswersA mathematical statement showing two expressions are equal (e.g., 2x + 3 = 7). Solve for x in 2x + 3 = 7 - Correct AnswersSubtract 3 from both sides → 2x = 4 → Divide by 2 → x = 2. Rearrange y = mx + b to solve for x - Correct Answersx = (y - b) / m. Ratio - Correct AnswersA comparison of two quantities by division (a:b or a/b). Rate - Correct AnswersA ratio comparing two different units (e.g., miles per hour). Formula for unit rate - Correct AnswersRate = Quantity ÷ Time (or other unit). Conversion method for units - Correct AnswersMultiply by conversion factor (e.g., inches × (1 ft / 12 in) = feet). Function - Correct AnswersA rule that assigns exactly one output (y) to each input (x). Function notation meaning: f(x) - Correct Answersf(x) = "the output when input is x." Slope-intercept form of a line - Correct Answersy = mx + b, where m = slope and b = y-intercept. Exponential function formula - Correct Answersy = a·b^x (a = initial value, b = growth/decay factor). Formula for percent - Correct AnswersPercent = (Part ÷ Whole) × 100. Formula for finding the part - Correct AnswersPart = Percent × Whole. Sales tax formula - Correct AnswersTotal Price = Original Price × (1 + Tax Rate). Markup formula - Correct AnswersSelling Price = Cost × (1 + Markup Rate). Budget - Correct AnswersA plan for income and expenses over a set time. Common fixed expenses - Correct AnswersRent, utilities, insurance. Common variable expenses - Correct AnswersFood, entertainment, gas. Formula for comparing unit costs - Correct AnswersUnit Price = Total Price ÷ Quantity. Simple Interest Formula - Correct AnswersI = P · r · t (P = principal, r = rate, t = time). Total with Simple Interest - Correct AnswersA = P + I = P(1 + rt). Compound Interest Formula - Correct AnswersA = P(1 + r/n)^(n·t).