Math 1 · Unit 6 · Lesson 4 · part 5 of 5

Practice Problems

Try them, get help one step at a time, then print how it went.

Practice: try it, then get help one step at a time

Predicting from m and b, reading a strange ending, and building systems with a chosen number of solutions. Hint gives a nudge, Show next step shows one worked step at a time, Reveal answer checks, and Hide help / start over clears the card.

My results

Finished the practice? Print a page that shows each question, what you typed or chose, the correct answer, and how it went. Good for showing a teacher or keeping in a folder.

Exit ticket

On paper or an index card. Use the math word and the plain-English word.

  1. How many solutions does y = 4x + 1 and y = 4x − 3 have, and why?
  2. What does it mean when solving ends in 0 = 0?
  3. Predict for y = −2x + 5 and y = 3x − 5.
  4. Write an equation that makes a system with y = x + 2 have no solution.
Check your exit ticket
  1. None: same slope, different y-intercept, parallel.
  2. Infinitely many solutions: the two equations are the same line.
  3. Different slopes: one solution (it is (2, 1)).
  4. Any y = x + b with b not 2, for example y = x − 4.

Where to go next