Practice Set 5 - Mixed Review B

Strengthen connected linear reasoning.

This set uses more layered choices across graphs, equations, tables, contexts, and lines of fit.

How to use this set

When two ideas appear at once, handle them in order: slope first, intercept second, context last.

Deeper mixed linear review

These items are designed for stamina and representation switching.

Representation switching

Compare equations, tables, and graphs.

Line relationships

Use parallel and perpendicular slope rules.

Model interpretation

Solve and explain linear models in context.

Statistics connection

Use linear models and residual thinking.

Mixed Review B

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

Question 1

Equation from graph

Which equation matches the graphed line?

Line through (-2,5) and (2,-3)
(-2,5)(0,1)(2,-3)

Question 2

Perpendicular line

Which equation is perpendicular to y = -3x + 4?

Question 3

Compare representations

Function A has equation y = 4x - 1. Function B is shown in the table. Which statement is true?

Function B

xy
0-1
27
415

Question 4

Linear or not

Which table does not show a linear function?

Question 5

Solve a model

The equation d = 150 - 12t gives distance remaining. When will the distance be 54?

Question 6

Standard form intercepts

What are the intercepts of 3x + 2y = 12?

Question 7

Write a model

A phone repair shop charges \$35 plus \$22 per hour. Which equation gives cost C for h hours?

Question 8

Residual thinking

A linear model predicts 42, but the actual value is 39. What is the residual using actual minus predicted?

Question 9

Convert form

Which slope-intercept equation is equivalent to y - 2 = 5(x + 1)?

Question 10

Best estimate

A line of fit for study time and score is s = 62 + 4h. What score does the model predict for 5 hours of study?

Desmos tip: after entering a regression or line of fit, use the equation to predict by substituting the input.