Ontario Canada Curriculum MathWiz Practice Exam 1
Instructions: Provide solutions where needed with a final statement Pay attention to degree of accuracy required Check your work when finished
Part A
1. 2. 3.
Place your answers only in the space provided. Answers
Determine the slope of the line 3 x 2 y 8 0 . Determine the equation of the vertical line passing through A (5, 11). Determine the distance between the points X (-1, 5) and Y (4, 17). Determine the midpoint between P(-2, 7) and Q (8, 21). Determine if (1, –1) is on the line 3x – 4y – 7 = 0? State the vertex of y 2 x 3 5 . Determine the y-intercept for the parabola y x 2 3 . Determine the first 3 steps for the quadratic function 2 y 3 x 2 1 . Factor 4 x 2 25 . Determine the roots of x 3 x 2 0 .
2 2
4. 5. 6. 7. 8. 9. 10
Yes No Circle one
11. Determine the value of x if the triangles below are similar.
4 10
2 x
MPM 2D page 1
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Part B.
1.
Show full solutions.
Solve the system of equations below algebraically and verify your answer . (show a check).
3x 2 y 9 2 x 3 y 19
2.
A retailer is blending together peanuts and cashews to create a mixture. If the peanuts sell for 1.25/kg and cashews for $2.79/kg, how many kg of each should he use to make a 100 kg of a mixture that sells for $1.89/kg ? Set up the equations required to solve this problem but do not solve. Let p = number of kg of peanuts c = number of kg of cashews
3.
Two parabolas are shown in the graph. Write the equation of each in vertex form.
a) ___________________
b)
____________________
c)
Graph the quadratic function y 3( x 4) 2 5 on the grid. Use at least 3 points.
MPM 2D page 2
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4.
Solve the following quadratic equations algebraically. Leave as exact answers. a)
x2 x 2 0
b)
6x2 7 x 3 0
c)
2 x 2 3x 7 0