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D771 WGU Quantitative Literacy, Exams of Advanced Education

University of LimpopoAdvanced Education

D771 WGU Quantitative Literacy

Typology: Exams

2024/2025

Available from 11/06/2025

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D771 WGU Quantitative Literacy
What is an equation? - A math statement showing two expressions are equal,
connected by an equal sign (=).
What is an expression? - A math phrase without an equal sign.
Example of an equation? - 8 + 3 = 11.
Example of an expression? - 8 + 3.
How do you solve for an unknown in an equation? - Apply the same operation to both
sides until the unknown is isolated.
What is a variable? - A symbol (like x) that represents an unknown value.
What is a constant? - A fixed value that does not change.
What is a coefficient? - A number multiplied by a variable (in 5x, 5 is the coefficient).
How do you multiply fractions? - Multiply numerators together and denominators
together.
How do you divide fractions? - Multiply by the reciprocal of the divisor.
How do you add/subtract fractions? - Rewrite with a common denominator, then
add/subtract numerators.
What is a reciprocal? - The flipped version of a fraction (e.g., 3/4 → 4/3).
What does percent mean? - Per hundred.
How do you convert a decimal to a percent? - Multiply by 100. (0.25 → 25%).
How do you convert a percent to a decimal? - Divide by 100. (75% → 0.75).
How do you find 10% of a number quickly? - Move the decimal one place to the left.
Example: What is 25% of 200? - 200 × 0.25 = 50.
What is a ratio? - A comparison of two numbers (e.g., 2:3).
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D771 WGU Quantitative Literacy

What is an equation? - A math statement showing two expressions are equal, connected by an equal sign (=). What is an expression? - A math phrase without an equal sign. Example of an equation? - 8 + 3 = 11. Example of an expression? - 8 + 3. How do you solve for an unknown in an equation? - Apply the same operation to both sides until the unknown is isolated. What is a variable? - A symbol (like x) that represents an unknown value. What is a constant? - A fixed value that does not change. What is a coefficient? - A number multiplied by a variable (in 5x, 5 is the coefficient). How do you multiply fractions? - Multiply numerators together and denominators together. How do you divide fractions? - Multiply by the reciprocal of the divisor. How do you add/subtract fractions? - Rewrite with a common denominator, then add/subtract numerators. What is a reciprocal? - The flipped version of a fraction (e.g., 3/4 → 4/3). What does percent mean? - Per hundred. How do you convert a decimal to a percent? - Multiply by 100. (0.25 → 25%). How do you convert a percent to a decimal? - Divide by 100. (75% → 0.75). How do you find 10% of a number quickly? - Move the decimal one place to the left. Example: What is 25% of 200? - 200 × 0.25 = 50. What is a ratio? - A comparison of two numbers (e.g., 2:3).

What is a rate? - A ratio with different units (e.g., miles/hour). What is a unit rate? - A rate with denominator of 1 (e.g., $2 per slice). What is a proportion? - An equation showing two ratios are equal. How do you solve a proportion? - Cross multiply and divide. Example: 3/4 = x/12. Solve for x. - x = 9. How do you find the perimeter of a rectangle? - 2 × length + 2 × width. Example: Rectangle 10 ft by 14 ft perimeter? - 48 ft. What is the circumference of a circle? - Distance around a circle. Formula for circumference using diameter? - C = π × diameter. Formula for circumference using radius? - C = 2πr. Approximate value of π? - 3.14. What does ≈ mean? - About equal to. What is a conversion factor? - A ratio that compares two equivalent values in different units. How do you convert 150 minutes into hours? - 150 × (1 hr / 60 min) = 2.5 hours. How do you convert inches to feet? - Divide by 12. What is a function? - A relation where each input has exactly one output. What is function notation? - y = f(x). What is a linear function? - A function that forms a straight line, written as y = mx + b. In y = mx + b, what does m represent? - The slope (rate of change). In y = mx + b, what does b represent? - The y-intercept (starting value). Example: $2000 setup fee + $30 per person. Function? - y = 30x + 2000. What is linear growth? - Increase by the same fixed amount each step.

Example: Coin flip probability of heads? - 0.5. Variable in math - A symbol (often a letter) that represents an unknown value. Equation - A mathematical statement showing two expressions are equal (e.g., 2x + 3 = 7). Solve for x in 2x + 3 = 7 - Subtract 3 from both sides → 2x = 4 → Divide by 2 → x = 2. Rearrange y = mx + b to solve for x - x = (y - b) / m. Ratio - A comparison of two quantities by division (a:b or a/b). Rate - A ratio comparing two different units (e.g., miles per hour). Formula for unit rate - Rate = Quantity ÷ Time (or other unit). Conversion method for units - Multiply by conversion factor (e.g., inches × (1 ft / 12 in) = feet). Function - A rule that assigns exactly one output (y) to each input (x). Function notation meaning: f(x) - f(x) = "the output when input is x." Slope-intercept form of a line - y = mx + b, where m = slope and b = y-intercept. Exponential function formula - y = a·b^x (a = initial value, b = growth/decay factor). Formula for percent - Percent = (Part ÷ Whole) × 100. Formula for finding the part - Part = Percent × Whole. Sales tax formula - Total Price = Original Price × (1 + Tax Rate). Markup formula - Selling Price = Cost × (1 + Markup Rate). Budget - A plan for income and expenses over a set time. Common fixed expenses - Rent, utilities, insurance. Common variable expenses - Food, entertainment, gas. Formula for comparing unit costs - Unit Price = Total Price ÷ Quantity. Simple Interest Formula - I = P · r · t (P = principal, r = rate, t = time).

Total with Simple Interest - A = P + I = P(1 + rt). Compound Interest Formula - A = P(1 + r/n)^(n·t). What does "n" represent in compound interest? - Number of compounding periods per year. Perimeter of a rectangle - P = 2l + 2w. Area of a rectangle - A = l × w. Area of a triangle - A = ½ · b · h. Volume of a rectangular prism - V = l × w × h. Volume of a cylinder - V = πr²h. Estimation purpose in math - To quickly approximate values for practical use. Rounding rule for estimation - Round to nearest significant digit before multiplying/dividing. When estimating area/volume, what should you round? - Dimensions (length, width, height, radius) before calculating. Number of degrees in a triangle - 180°. Complementary angles add up to? - 90°. Supplementary angles add up to? - 180°. Formula for the sum of interior angles of a polygon - (n - 2) × 180°, where n = number of sides. Strategy if quiz/test score is below 80% - Review notes and meet with an instructor for help. What should you NOT use on the pre-assessment? - Notes—complete from memory. After passing the pre-assessment, what's next? - Schedule the Objective Assessment.