Grade 9 Review

Linear Relations

100

4x - 5 = 31

x = 9

200

-3x - 5 = -26

x = 7

300

x/9 - 5 = 3

x = 72

400

4(3x + 5) = -16

x = -3

500

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

x = 3.5

Polynomials

100

(−3𝑥²+2𝑥+3)+(−3𝑥²−2𝑥+4)

-6x²+7

200

(11+3𝑥³)+(4𝑥²−2)+3𝑥

3x³+4x²+3x+9

300

(2𝑎²+3𝑎+1)−(4𝑎²−6𝑎+4)

-2a²+9a-3

400

(15𝑥²+𝑥³+7)−(6𝑥²−2𝑥³)−7𝑥

-x³+9x²-7x+7

500

A triangle has side lengths 8x+6, 5x-5, and -6x+12. What is the perimeter of the triangle?

7x+13

Surface Area

100

The surface area of a rectangular prism with a length of 4cm, a width of 2cm, and a height of 3cm.

52cm²

200

The surface area of a cube with a side length of 2in. 

24cm²

300

The surface area of a triangular prism with an equilateral triangle with side lengths of 5m, a height of 4m, and a length of 10m.

170m²

400

The area of overlap of a composite shape composed of a rectangular prism of dimensions 3m, 6m, and 2m with a cube on top with a side length of 2m. 

8m²

500

The total surface area of a composite shape with a rectangular prism of dimensions 3m, 4m and 5m with a cube on top with a side length of 1m.

98m²

Statistics

100

What do Calgarians think of the Green Line?

Population: Calgarians

200

A school principal wants to know what students think about the bell schedule. He creates a group of students from each grade based on who requested to be part of it in a survey. Sample or Population?

Sample

300

A school principal wants to know what students think about the bell schedule. He creates a group of students from each grade based on who requested to be part of it in a survey. What type of survey technique did he employ?

Self-selected

400

What is the difference between cluster sample and random stratified sample. Use grade 9 market survey as an example to explain.

Cluster: choosing a couple homerooms from each grade

Stratified random: choosing random students from each grade or homeroom

500

Name 5 of the 8 issues with data collection that we learned about in class, and that you had to avoid in your survey development.

Bias, language, cultural sensitivity, ethics, time and timing, cost, privacy

Symmetry

100

How many lines of symmetry are there on a heart?

1

200

What is the order of rotation of a square?

4

300

What is the angle of rotation of an equilateral triangle?

120^º

400

Describe the complete symmetry of the digit 0 on a digital clock (3 points)

1. Vertical line

2. Horizontal line

3. Order of rotation:2, Angle: 180º

500

When a trapezoid is reflected across its base, a regular polygon is formed. What is the order and angle of rotation of the newly formed polygon?

Order: 6

Angle: 60º