Mixed review (Math 8)

Functions & Linear Functions

100

The following points are on a graph. Is this a function?

(9,0), (8,0), (7,1), (6,6)

Yes. Each x value has exactly one y value.

200

True or false: If you draw a horizontal line anywhere on the graph and meet the points once, it is a function.

False; it is the vertical line test.

300

If these points were on a table that represent a function, what can be an additional point so that it is still a function?

(7,5), (8,12) (5,2) (_?_,_?_)

Any value for x except 7, 8, and 5; any value for y.

Example: (1,2) or (-4,8)

400

Is this linear of nonlinear:

y = -2x² - 3 

Nonlinear. The exponent makes it curve; it is not in y = mx + b form.

500

What is the constant rate of change?

 x  | y

-1    3

-5    1

-9   -1

slope = 1/2

Exponents/Scientific Notation/Roots

100

What is anything to the zero power?

1

200

Simplify:

x¹⁴/x²

x¹²

300

Write 0.089 in scientific notation.

8.9 x 10^-2

400

How many times greater is 6 x 10⁴ than 2 x 10²?

3 x 10² or 300

500

Which two integers is the square root of 65 between?

8 and 9.

Transformations

100

What is it called when points or objects on a coordinate plane move or slide?

Reflection

Dilation

Translation

Rotation

Translation

200

If a shape gets reflected across the x-axis, what turns to its opposite sign?

a) The x values

b) The y values

c) Both the x and y values

d) Nothing

b) The y-values

300

True or false: Dilations stretch or shrink shapes on a coordinate plane.

True.

400

The following statement is FALSE: Triangle A was rotated 90 degrees counterclockwise to make Triangle B. Triangle B is 90% smaller than triangle A.

Correct the mistake.

Rotating does not change the congruency.

500

An isosceles right triangle has been reflected across the y-axis. What are the measurements of each angle of the reflected triangle?

45 degrees, 45 degrees, and 90 degrees.

Pythagorean Theorem

100

Solve for c if:

a = 4

b = 3

c = 5

200

Solve for b if:

a = 12

c = 13

b = 5

300

Is this a right triangle?

a= 5

b=7

c= Square root of 74.

Yes.

400

Find the missing length of the leg of a right triangle that has a side of 6 units and a hypotenuse of 11 units. Leave your answer as a square root.

Square root of 85.

500

Graph the points (5,1) and (-2,-3). Find the distance of the points. Round to the nearest hundredth.

8.06

Systems of equations

100

Consider the equations below:

y = 5x

y = 1/2x

Where will they meet?

At (0,0)

200

if x = 2, what is the value of y in:

y = -5x + 1

-9

300

How many solutions does this system of equations have?

y = 2x +4

-6x + 3y = 12

Infinitely many

400

Solve the system of equations:

y = 1/2x + 5

x + y = -10

(-10,0)

500

Solve the system of equations:

2x + 4y = -5

x = -2y + 1

No solution