Mixed Practice A

Practice a balanced mix of systems and inequalities skills.

This set blends graphing, substitution, elimination, writing systems, and feasible-region reasoning.

How to use this set

Move one question at a time. First decide whether it is an equation system or an inequality constraint.

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Set Focus

Mixed systems review

A steady checkpoint before the deeper mixed set.

Graphing

Read and verify intersections.

Algebra

Use substitution and elimination.

Inequalities

Graph boundaries and test regions.

Contexts

Write systems from item and cost totals.

Practice Questions

Mixed Review A

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

Question 1

Graphing systems

The lines y=x+3 and y=-2x intersect at what point?

System by graphing

Question 2

Ordered pair

Which ordered pair is a solution to y=-x+5?

Question 3

Write equations

A student buys pencils for 1 dollar each and folders for 3 dollars each. The student buys 8 items for 18 dollars. Which system fits?

Question 4

Elimination

Solve x+y=14 and 2x-y=4.

Question 5

Vertical boundary

How should the inequality x\ge3 be graphed?

Question 6

Feasible choice

Which point satisfies x+y\le20, x\ge5, and y\ge0?

Question 7

Same line

What is the solution type for y=4x-1 and 8x-2y=2?

Question 8

Substitution

Solve 3x+y=17 and y=2x+2.

Question 9

At least

Which inequality represents at least 12 total items?

Question 10

Solution region

What does the overlapping shaded region of two linear inequalities represent?

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