Grade 12 · Mathematics · three levels

Grade 12 Algebra worksheet in three levels

The same 20-question worksheet on algebra in Support, Core and Challenge versions. Question by question, each version keeps the topic and changes the difficulty.

All three levels PDF All three answer keys Original worksheet

Compare the three levels

Support

Easier questions on the same topics, for students who need more practice with the basics.

Questions: 20 (20 medium)
Grade range: Grades 8 to 11
Topics: Algebra

Sample questions

Solve: 13x + 19 = 3x + 49.
Solve: 14x + 7 = 4x + 167.
f(x) = 7x + (23). Find f⁻¹(107).

Core

Questions at the expected level for the grade.

Questions: 20 (20 medium)
Grade range: Grades 8 to 11
Topics: Algebra

Sample questions

f(x) = 4x + (16). Find f⁻¹(96).
f(x) = 15x + (-1). Find f⁻¹(-16).
f(x) = 10x + (-2). Find f⁻¹(298).

Challenge

Harder questions on the same topics, for students who are ready to stretch.

Questions: 20 (20 challenge)
Grade range: Grades 9 to 12
Topics: Algebra

Sample questions

f(t) = 4t + (-3); g(t) = 4t + (3). Find f(g(2)).
f(t) = 3t + (3); g(t) = 7t + (5). Find f(g(-1)).
f(t) = 7t + (5); g(t) = 5t + (-4). Find f(g(2)).

Using the three versions

Start everyone with the same short explanation, then hand out Support, Core or Challenge.
Question numbers line up across the versions, so you can go through the answers with the whole class.
The PDF has a cover page and each version on its own pages; the answer keys PDF has all three keys.

See the original worksheet or browse more three-level worksheets.