Math project

Unit : Transformations (Rotations, Reflections, Translations, Dilations, Alternate Interior Angles)

100

A point (x,y) is reflected over the x-axis, then over the y-axis. What is the final point?

(-x,-y)

200

A point is rotated 360 degrees about the origin. If the original point is (7, -3), what is the new point?

(7,-3)

300

A line segment has endpoints (1,3) and (5,1). After a dilation with a scale factor of 3 centered at the origin, what are the new endpoints?

(3,9) and (15,3)

400

A line segment has endpoints (2,2) and (5,1). After a translation of (-1,3), what are the new endpoints?

(1,5) and (4,4)

500

 Angle A and Angle B are alternate interior angles. If m∠A = 3x + 10 and m∠B = 5x - 20, and the lines are parallel, find the value of x.

 x = 15

Unit = (Slope-Intercept Form, Graphing, Finding Slope) and Systems of Linear Equations(Solving by Graphing or Substitution)

100

What is the slope of a vertical line?

Undefined

200

The sum of two numbers is 20. Their difference is 4. What are the two numbers?

12 and 8

300

Solve the system of equations using substitution: x = 3y and 2x - 5y = 2. What is the solution?

(6, 2)

400

Solve the system of equations by graphing: y = 2x - 1 and y = 2x + 2. What is the solution?

No solution (parallel lines)

500

Write the equation of a line that is perpendicular to y = (1/3)x + 5 and passes through the point (0, -1)

 y = -3x - 1

Unit 5: Functions and Volume

100

1. Which of the following is a function? 

y = 2x +3

y^2 = x +1

y= 2x +3

200

Which of these is NOT a function?

y = 3x

X = y^2

x = y^2

300

1. Find the output of the function f(x) = 2x − 5 when x = 4

f(4) = 2(4) − 5 = 8 − 5 = 3

400

For the function f(x) = x2 + 1, what is f(2)?

 f(2) = 2^2 + 1 = 4 + 1 = 5

500

1. If f(x) = 3x + 2, what is f(0)?

f(0) = 3(0) + 2 = 2 

Unit 6: Scatter Plots and Two Way Tables

100

 In a scatter plot showing hours studied vs. test scores, which is the independent variable?

Hours studied.

200

Given the data: (1,3), (2,6), (3,9), (4,12), and (5,15), what is the rate of change (slope) between the points?

Slope = 3

300

For the scatter plot of car speed versus time taken to reach a destination, what type of correlation would be expected?

Negative correlation

400

If a scatter plot of shoe size and height shows no discernible trend, what correlation would this suggest?

No correlation

500

A survey shows that 100 people prefer dogs, 50 prefer cats, and 20 prefer both. How many people prefer only dogs?

 80 people.

Units 7 and 8: Exponents, Scientific Notation, The Pythagorean Theorem, and Repeating Decimals into Fractions

100

(3.2 x 10⁴) + (1.8 x 10⁴) in scientific notation

50000

200

(12.2 x 10³) - (10.1 x 10³) in scientific notation

2100

300

(6.7 x 10⁵) x (5.4 x 10⁵) in scientific notation

361800000000

400

(7.5 x 10³) + (5.2 x 10⁵) in scientific notation

527500

500

 (4.2 x 10²) - ( 3.5 x 10⁶) in scientific notation

-3499580