Grade 10 Math Exam Prep

Grade 10 Academic Mathematics
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