Solving Equations Review

Solving Equations Review

Unit 1 Test Tuesday. Let's Study

Poll

Best Way To Study Math

• Look Over Notes

• Look over Old Problems

• Do math problems

• Can't study for math

Function Notation

f(x)= is same as y-

f(#): put the number in for x

Multiple Choice

 $f\left(x\right)=6x^2-8$  

Evaluate f(-3)

• -62

• 316

• 28x

• 46

Fill in the Blanks

Given h(x) = 5 - 9(x + 7), find h(8).

Linear Equations

Work to get x alone.

Has only 1 answer.

Multiple Choice

2x + 3(5x - 7) = 47

• 1
• 2
• 3
• 4

Fill in the Blanks

Solve for x. Just write the number. 

 $3x-1+5x\ =\ 9-6\left(2x-12\right)$  

Solving Quadratics

• When there is a squared term

• Typically two answers

• Solve with: Factoring, Quadratic Formula or Undoing

Multiple Choice

Solve for x.  $4\left(x-1\right)^2+6=106$  

• x= 6 or x = -4
  

• x = 6 or x = - 6
  

• x= 4.9 or x = -4.9
  

• x = 4 or x = -4
  

Multiple Choice

Solve for x.  $3x^2-5x=16$  

• 1.622 and -3.288
  

• 9.865 and -4.865
  

• -1.622 and 3.288
  

• -9.865 and 4.865
  

Fill in the Blanks

 $5\left(x+12\right)^2-9=1116$ 
Solve for x.
Write your answer as x = #, # (Take notice of the spacing)

Fill in the Blanks

 $3x^2-9=5x$ 

Solve for x. Round to nearest thousandths.
Write your answer as x = #, # (Take notice of the spacing)

Absolute Value Equations

• Typically has 2 answers

• Must isolate the absolute value part!

• Then use "look inside" method

Fill in the Blanks

 $5\left|4x+7\right|-11=84$ 
Solve for x.
Write your answer as x = #, # (Take notice of the spacing)

Fill in the Blanks

 $\left|2x+1\right|-6=20$ 
Solve for x.
Write your answer as x = #, # (Take notice of the spacing)

Factoring

Multiple Choice

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Multiple Choice

Factor completely: 3x²-8x+4

• (3x-4)(x-1)
• (3x-2)(x-2)
• (x+1)(3x+4)
• (x+2)(3x+2)

Multiple Choice

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Systems of Equations

• Contain 2 variables and 2 equations

• Answer is written as (x, y)

• Three ways to solve: Equal Values, Elimination, and Substitution

Fill in the Blanks

Solve the system of equations.

Write your answer as (x,y). Do not add spaces.

3x + 2y = 16

7x + y = 19

Fill in the Blanks

Solve the system of equations.

Write your answer as (x,y). Do not add spaces.

y = 7x + 9

2y + 2x = -14

Poll

How Prepared Do You Feel for Tuesday's Test?

• Not at all.

• Barely. Some topics are getting there.

• Mostly. Need to work on a couple things yet.

• Bring on the A!

Open Ended

What topic do you need to study the most?