DOK 1 Practice

Build fluency with system solutions, basic solving, and inequality graph features.

These questions keep the moves direct so students can recognize solutions, test points, and graph simple inequalities.

How to use this set

Check whether the question asks for one ordered pair, a solution type, or a shaded region.

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Set Focus

Foundational systems and inequalities skills

DOK 1 questions reward accurate checking, graph interpretation, and basic algebra moves.

Solutions

Identify ordered pairs that work in equations and inequalities.

Solving

Use graphing, substitution, and elimination for simple systems.

Boundaries

Choose solid or dashed lines from the inequality symbol.

Solution types

Recognize one solution, no solution, and infinitely many solutions.

Practice Questions

Systems and Inequalities Foundations

Check your answer first, then reveal the explanation when you want the model.

Question 1

Intersection solution

What is the solution to the system y=2x+1 and y=-x+7?

Question 2

Check an ordered pair

Is (3,4) a solution to x+y=7 and y=x+1?

Question 3

Graph meaning

On a graph of two linear cost models, what does the intersection point represent?

Question 4

Substitution

Use substitution to solve y=x+2 and 2x+y=11.

Question 5

Elimination

Solve the system x+y=10 and x-y=2.

Question 6

Boundary line

What type of boundary line should be used for y<2x+3?

Question 7

Test an inequality

Does (4,5) satisfy x+y\le10?

Question 8

Nonnegative constraints

Which region is described by x\ge0 and y\ge0?

Question 9

Number of solutions

How many solutions does the system y=2x+1 and y=2x-4 have?

Question 10

Equivalent equations

How many solutions does the system 2x+2y=8 and x+y=4 have?

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