MPM1D Summative Part 2 Review

Numeracy

100

-9-2+(-5)-(-2)+(+5)

-9

200

-5(-9)+3(-4)-(-13+6)

40

300

-2(-9-7)+(-3)²

41

400

4/5 + 9 2/3

(four fifths + nine and two thirds)

157/15

500

(-15/16)(-30/25) - (-2/3)²

49/72

Exponents and Polynomials

100

3(2x-9)+5(6x+7)

36x+8

200

-7am(-4x)

28amx

300

5x(2x+3)-8x(3-2x)

26x²-9x

400

8x⁶(3x²)

24x⁸

500

 (-12x⁵) / (-4x³)

3x²

Solving Equations

100

9x + 16 = 7x – 4

x = -10

200

32m - 7 = 5m + 10

m = 31

300

4(2x - 3) - 3x = 5 + 3(1 - 4x)

x = 20/17

400

(m-3)/4 = (m+1)/3

m = -13

500

(x-3)/4 - (2x+3)/3 = 5x/2

x = -3/5

Equation of a Line

100

What is the slope of the line 2x – 3y = 11?

2/3

200

What is the y-intercept of the line 2x-5y-5=0?

-1

300

What is the x-intercept of the line 3x+y=7?

7/3

400

Find the equation of the line that passes through (-3,7) and (2,22)

y=3x+16

500

Find the equation of the line parallel to 3x-6y+12=0 and with the same y-intercept as 2x+8y=-24

y= x/2 -3

Measurement and Geometry

100

What is each interior angle of a regular octagon?

135˚

200

How many sides does a regular polygon have if each of its exterior angles is 15˚?

12 sides

300

A rectangular-based pyramid has base length 8 cm, base width 9 cm, and volume 288 cm³ . What is the height of the prism?

12 cm

400

A cone has a volume of 263.9 cm³ and a base radius of 6 cm. What is the height of the cone?

7 cm

500

Ice cream is sold to stores in cylindrical containers with a radius of 10 cm and a height of 21 cm. Each scoop of ice cream is a sphere with a radius of 2.1 cm. About how many scoops of ice cream can each container hold?

About 170 scoops