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Linear equations (slope and y=mx+b)
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8.AR.3.5 Determine and interpret the slope of a two-variable linear equation in a real-world context involving integer values, given (L3) β’ an equation in slope-intercept form, π=πx+π β’ a graph β’ a table of values β’ a written descriptionLinear Equations and SlopeSlope and Linear Equations Slope and Graphing Linear EquationsJnic Writing Linear Equations given a point and the slopeQ1. A teacher designs a lesson where students compute real-life percentages such as discounts and savings. π A student calculates 15% of 200 to determine savings in a purchase. What is the correct result? A. 20 B. 25 C. 30 D. 35 Q2. In a classroom activity, learners compare numbers to find the highest common factor for grouping materials evenly. π What is the GCF of 24 and 36? A. 6 B. 8 C. 12 D. 18 π FRACTIONS, DECIMALS, AND POWERS Q3. A learner converts fractions into percentages for data interpretation. π What is 3/4 expressed as a percentage? A. 50% B. 60% C. 75% D. 80% Q4. A student models exponential growth using repeated multiplication. π What is the value of 252^525? A. 25 B. 30 C. 32 D. 64 π ALGEBRA (EQUATIONS AND EXPRESSIONS) Q5. A teacher guides students to solve equations that represent real-life situations. π Solve: 2x+8=202x + 8 = 202x+8=20 A. x = 4 B. x = 6 C. x = 8 D. x = 10 Q6. Students simplify expressions to understand relationships between quantities. π Simplify: 3(x+4)β2x3(x + 4) - 2x3(x+4)β2x A. x + 12 B. x + 4 C. 5x + 4 D. 5x + 12 π FUNCTIONS AND GRAPHING Q7. A student analyzes a linear equation to determine its rate of change. π What is the slope of y=3xβ5y = 3x - 5y=3xβ5? A. -5 B. -3 C. 3 D. 5 Q8. A learner evaluates functions to predict outcomes. π If f(x)=2x+3f(x) = 2x + 3f(x)=2x+3, what is f(4)f(4)f(4)? A. 7 B. 9 C. 11 D. 14 π GEOMETRY Q9. Students explore geometric shapes and their properties through visual models. π What is the sum of interior angles of a triangle? A. 90Β° B. 180Β° C. 270Β° D. 360Β° Q10. A student calculates the area of a classroom table with dimensions 8 cm by 5 cm. π What is the area? A. 26 sq cm B. 30 sq cm C. 40 sq cm D. 48 sq cm π MEASUREMENT AND FIGURES Q11. A learner determines the volume of a cube used in a science experiment. π What is the volume of a cube with side 4 cm? A. 16 cubic cm B. 32 cubic cm C. 48 cubic cm D. 64 cubic cm Q12. Students identify shapes used in design projects. π How many sides does a hexagon have? A. 5 B. 6 C. 7 D. 8 π STATISTICS AND PROBABILITY Q13. A teacher helps students interpret data sets using measures of central tendency. π What is the mean of 4, 6, 8, 10, 12? A. 6 B. 8 C. 10 D. 12 Q14. A class experiment involves flipping a fair coin. π What is the probability of getting heads? A. 1/4 B. 1/3 C. 1/2 D. 2/3 π WORD PROBLEMS (APPLICATION) Q15. A car travels 180 km in 3 hours during a learning task on speed. π What is its average speed? A. 45 km/h B. 60 km/h C. 75 km/h D. 90 km/h Q16. Students analyze work efficiency in a project. π If 5 workers complete a task in 12 days, how long will 10 workers take? A. 3 days B. 6 days C. 8 days D. 12 days Q17. A student solves a problem involving ratios in a classroom population. π If the ratio of boys to girls is 3:2 and there are 30 students, how many boys are there? A. 12 B. 15 C. 18 D. 20 Q18. A learner determines the duration of a scheduled trip. π A journey starts at 8:30 AM and ends at 11:15 AM. How long is the trip? A. 2 hrs 15 mins B. 2 hrs 30 mins C. 2 hrs 45 mins D. 3 hrs 15 mins Q19. A student computes simple interest for financial literacy. π What is the simple interest on β±1000 at 5% for 2 years? A. β±50 B. β±75 C. β±100 D. β±150 Q20. A learner solves a perimeter problem involving a rectangle. π A rectangle has a length of 12 cm and perimeter of 34 cm. What is the width? A. 5 cm B. 7 cm C. 10 cm D. 11 cm β
ANSWER KEY (BASED ON YOUR REVIEWER) (All verified from your uploaded file) [ilide.info...002acd4e5a | PDF] QAnswer1C2C3C4C5B6A7C8C9B10C11D12B13B14C15B16B17C18C19C20AFinding the slope and the point from a linear equation in slope and point form Short Quiz in Math 8 graphs a linear equation given (a) any two points; (b) the x β and y β intercepts; (c) the slope and a point on the line