Mixed Practice B

Strengthen connected systems and inequality reasoning.

This set uses more layered decisions about solving strategy, graph interpretation, and feasibility.

How to use this set

When choices feel close, test them. A point either makes the statement true or it does not.

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Set Focus

Deeper mixed systems review

These items build stamina with algebra and constraints.

Solving

Use structure to solve efficiently.

Contexts

Interpret equal values in real situations.

Inequalities

Use strict and inclusive boundaries correctly.

Solution types

Classify inconsistent and equivalent systems.

Practice Questions

Mixed Review B

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

Question 1

Solve a system

Solve 2x+y=9 and x-y=3.

Question 2

Graph solution

What is the intersection of y=2x+4 and y=-x+4?

Question 3

Equal value model

Gym A charges 20 dollars plus 5 dollars per visit. Gym B charges 10 dollars plus 7 dollars per visit. Which equation finds when the costs are equal?

Question 4

Context interpretation

For 20+5v=10+7v, what is the cost when the two gym plans are equal?

Question 5

Strict inequality check

Which point satisfies y>2x-1?

Question 6

Boundary equation

What is the boundary line for x+y<6?

Question 7

Multiple constraints

Which point satisfies x\le8, y\le6, and x+y\ge5?

Question 8

Elimination strategy

Which first step solves 4x+y=17 and 4x-y=7 most efficiently?

Question 9

Inconsistent equations

What is the solution type for x+y=6 and 2x+2y=10?

Question 10

System of inequalities

Which point satisfies both y\le x+2 and y\ge -x+4?

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