Solutions

Solutions

• Equation = 0

• Ex: x² - 5x - 6 = 0

• The solution of an equation set equal to zero is the x-intercept(s).

X-intercepts

• ​Equation with variables on both sides

  Ex: 12 - 4x = 2(x - 18)

• Graph the left/right sides separately and find the point of intersection (x,y). The solution is the x-value ONLY.

• nspire cx

  • calculator

  • Algebra

  • Numerical Solve

Point of Intersection

• System of Equations

  Ex:

• If solved for y= or f(x) = , graph and find pt of intersection.

• If any other format:

• nspire cx

  • Calculator

  • Algebra

  • Solve system (option 2)

Open Ended

What is the solution to 10 - 3(m - 5) = 2(5 - m) ?​

Dropdown

A system of linear equations is shown.

x - 3y = 7

x - 2y = 2



The value of x in the solution to this system of equations is ​

Select answer

Multiple Choice

What are the solutions to the equation $$\left(x+13\right)\left(x-6\right)=0$$ ?

• x=6 and x=13

• x=-13 and x=6

• x=-6 and x=13

• x=-13 and x=-6

Multiple Choice

What are the solutions to the equation x² - 2 = -3x ?

• $$\frac{3\pm\sqrt[]{17}}{2}$$

• -1 and 2

• $$\frac{-3\pm\sqrt[]{17}}{2}$$

• -2 and 1

​One variable ​Inequality

• Ex: 12 - 4x > 2(x - 18)

• Use the same steps as point of intersection (eliminate ans choices). OR

• Use TI- 84

• Instruction VIDEO

​​Solution set of 1-variable inequality

​Eliminate answers

• Solid ≤ ≥ OR Dashed < >

• Shaded above > ≥ OR Below < ≤

• Identify lines by y-int if possible

Plot points and select the answer on the double shaded area.

​​Solution set of 2-variable inequality

Multiple Choice

What is the solution set for 12 - 4w > 2(w - 18) ?

• w>8

• w<5

• w<8

• w>5

Hotspot

The graph of 3x − y = 1 is shown on the grid. 

Which points are in the solution set of

3x − y ≥ 1? 

Select THREE correct answers.

Multiple Choice

Which graph best represents the solution set of 3x < 2y + 6 ?

Multiple Choice

The graph shows two lines representing the equation y = 2x + 5 and x + y =1

Which ordered pair is in the solution set for the system of inequalities $$y\ge2x+5$$ and $$x+y\le1$$ ?

• (-5,0)

• (0,7)

• (5,0)

• (0, -7)