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Linear Relations and Applications Test MPM1D IB Grade 9
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#linearequations_wordproblems #linearequations_applications #globalmathinstitute #anilkumar
Q1. True or False
a. A line with undefined slope is horizontal.
b. A line with negative slope always tilts up to the left.
c. The y-intercept of a line is the point with x-coordinate equal to zero.
d. For the line, the run is considered the horizontal change.
e. The graph of x = 4 is a line parallel to y – axis.
f. The point (-3, 5) is located below the x – axis.
g. A line with a slope of 2 is perpendicular to a line with slope ½.
h. The line 3x + y = 6 has the slope of -3.
i. The point (-1, -3) lies on the line y = 2x + 5.
j. The line y = 4 has the slope equal to zero.
Q2. Determine equation of each line shown in the graph and find the point of intersection.
Q3. Find equation of line with x-intercept of 4 and y-intercept of -3.
Q4. Determine the equation of a line passing through the points A(2, 5) and B(4, 11).
Q5. Find the intercepts of the line 5x – 3y + 15 = 0.
Q6. The equation of the line is 2x – 5y = k. Find k if line passes through the point P(-7, -2).
Q7. Find equation of the line which passes through (-3, 6) and is parallel to 3x – 4y = 12.
Q8. Use intercepts method to sketch the line 27x – 36y = 108.
Applications
Q1. The annual cost of operating a motorcycle varies partially as the distance driven. The cost is $610 for 2000 km, and $850 for 5000 km.
a. Determine the relation that represents this relation.
b. Find the cost of driving 9000 km.
c. If the annual cost is $550, how many km can be driven.
Q2. A health club charges its members a fixed annual fee, plus a fee each time they visit the club. In the same year, Richard visited the club 50 times and paid total of $450, Nigel visited the club 120 times and paid a total of $800. What are the fixed fee and fee per visit?
Q3. A school team travels from Malton to Ottawa, a distance of approximately 520 km. The first part of the trip is completed by car, which averaged 80 km/h. The last part of the trip is by train which travels 120 km/h. If entire trip takes 5 hours, determine the distance the school team spent travelling by train. #GCSE #SAT #EQAO #IBSLmath
Q1. True or False
a. A line with undefined slope is horizontal.
b. A line with negative slope always tilts up to the left.
c. The y-intercept of a line is the point with x-coordinate equal to zero.
d. For the line, the run is considered the horizontal change.
e. The graph of x = 4 is a line parallel to y – axis.
f. The point (-3, 5) is located below the x – axis.
g. A line with a slope of 2 is perpendicular to a line with slope ½.
h. The line 3x + y = 6 has the slope of -3.
i. The point (-1, -3) lies on the line y = 2x + 5.
j. The line y = 4 has the slope equal to zero.
Q2. Determine equation of each line shown in the graph and find the point of intersection.
Q3. Find equation of line with x-intercept of 4 and y-intercept of -3.
Q4. Determine the equation of a line passing through the points A(2, 5) and B(4, 11).
Q5. Find the intercepts of the line 5x – 3y + 15 = 0.
Q6. The equation of the line is 2x – 5y = k. Find k if line passes through the point P(-7, -2).
Q7. Find equation of the line which passes through (-3, 6) and is parallel to 3x – 4y = 12.
Q8. Use intercepts method to sketch the line 27x – 36y = 108.
Applications
Q1. The annual cost of operating a motorcycle varies partially as the distance driven. The cost is $610 for 2000 km, and $850 for 5000 km.
a. Determine the relation that represents this relation.
b. Find the cost of driving 9000 km.
c. If the annual cost is $550, how many km can be driven.
Q2. A health club charges its members a fixed annual fee, plus a fee each time they visit the club. In the same year, Richard visited the club 50 times and paid total of $450, Nigel visited the club 120 times and paid a total of $800. What are the fixed fee and fee per visit?
Q3. A school team travels from Malton to Ottawa, a distance of approximately 520 km. The first part of the trip is completed by car, which averaged 80 km/h. The last part of the trip is by train which travels 120 km/h. If entire trip takes 5 hours, determine the distance the school team spent travelling by train. #GCSE #SAT #EQAO #IBSLmath
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