math midterm

Zero equals zero

Infinite many solution solutions

Number equals a different number

No solution

When you see two fractions that equal each each other, what do you do?

Cross multiply and then solve

Word problems with two variables, a.k.a. systems what do you do?

Define your variables x= first thing y= second thing. Next write the two equations x+y= then other one plug in. Next solve.

What do you do when you see two equations and it’s asking how many solutions?

If the lines intersect, it means one solution, if the line is the same, it means infinitely many, and if the line is parallel, it means no solution

How do you write slope intercept form and what do the variables mean?

Slope intercept form is Y equals MX plus b and M equals slope B equals Y intercept

Parallel versus perpendicular lines

Parallel has the same slope and perpendicular has opposite reciprocal

If you multiply or divide by negative number what do you do?

FLIP THE SIGN

Writing interval notation from inequalities

< and > equals parentheses

line under equals brackets

Infinity equals parentheses only

Graphing inequalities what do you do with 1 variable

Solve the inequality, open circle equals no line close circle equals line, then shaded the correct direction

Graphing linear equations this time with two variables

When you see Y equals MX plus B the steps are graph the line and then shade

Function rules and if the equation is C equals 60+17 H

60 equals starting fee 17 equals rate per hour H equals hours worked

Rate of change and what is the formula?

Change in Y divided by change in X