Grade 8: AZM2 Review

Chapter 1: Real Numbers

100

The square roots of 144

What is 12 & -12

200

The simplified version of 2⁶ × 2^-4 written as an exponent. 

What is 2²

300

456,000 written in scientific notation

What is 4.56 x 10⁵

400

The sum of 1.8x10² + 2.65x10³

What is 2.83 x 10³

500

The difference between a rational and irrational number

What is any number written in fraction form is considered rational (whole numbers, repeating/terminating decimals, perfect squares/cubes...)

Chapter 2: Solving Equations

100

The value of n in 3n-4=10

What is 4 2/3

200

The slope of the line that passes through (9,6) & (-2,3)

What is 3/11

300

Solve & identify the number of solutions for: 2(3x + 8) = 2x + 16 + 4x

What is infinite solutions

400

Write an equation in y=mx+b format for the line in the graph on the following slide.

What is y= 1/4x + 5

500

The value of x in 1.5x - 11 + x = 4x - 2

What is -6

Chapter 3&4:Functions & Bivariate Data

100

The line that is the BEST model for the data in the scatterplot provided. 

line p

200

Look at the table provided. If the company wants to decrease the number of programs offered, which type of program should it choose to cut? Explain.

What is comedy. It has the lowest number of viewers. 

300

Decide whether each function is linear or nonlinear

I: nonlinear.  II: linear.   III: nonlinear

400

Is the following relation a function- explain.

Yes, each input has its own output. (no repeat x-values)

500

Draw a graph, with speed on the y-axis and time on x-axis, that shows: a car stopped at a stop sign, increasing to the speed limit, and then traveling at the speed limit.

What is an increase and then plateau on the graph (see visual)

Chapter 7:Pythagorean Theorem

100

The equation for Pythagorean theorem.

What is a²+b²=c²

200

In a right triangle, if the base is 15 inches and the height is 36 inches, find the hypotenuse.

What is 39 inches

300

If the sides of a triangle are 10cm, 11cm, and 12cm, will it be a right triangle. 

No, 10²+11²=12² -> 100+121=144 -> 221=144 is not true.

400

Find the distance between the points indicated on the graph. Round to the nearest whole number. 

What is about 9 units

500

Find the missing lengths (m & n) using the prism provided in the photo.

What is m=10 & n =26

Chapter 8: Geometry

100

Find the surface area of the cylinder by using 3.14 as pi. Round the answer to the nearest tenth. 

What is 376.8 cm²

200

Find the surface area of the ball shown. Use 22/7 for pi, and round to the nearest whole number.

What is 1,018 cm²

300

Find the volume of the cylinder using 3.14 as pi and rounding to the nearest tenth. 

What is 91.4 in³

400

Find the volume of the cone using 22/7 for pi. Round to the nearest whole number. 

What is 528 in³

500

Find the volume of the figure. Use 3.14 for pi, and round to the nearest whole number

What is 1,204m³