Solving Equations Review

One Step Equations

100

Solve the One Step Equation:

x – 8 = 16

x = 24

200

Solve the One Step Equation:

8x = 56

x = 7

300

Solve the One Step Equation

x + 5 = –9

x = –14

400

Solve the one step equation:

7x = –210

x = –30

500

Solve the one step equation:

81 ÷ x = 3

x = 27

Two Step Equations

100

Solve the two step equation:

2x + 5 = 15

x = 5

200

Solve the two step equation:

3x – 8 = –5

x = 1

300

Solve the two step equation:

x/2 + 7 = 21

x = 28

400

Solve the two step equation:

3x + 15 = –18

x = –11

500

Solve the two step equation:

12 – x/5 = 8

x = 20

Function Notation

100

f(x) = 6x, Find f(3)

f(3) = 18

200

f(x) = 5x + 4, find f(6)

f(6) = 34

300

f(x) = 4x + 7, find f(–6)

f(–6) = –17

400

f(x) = x² + 4x + 4,

Find f(2)

f(2) = 16

500

f(x) = x² + 4x + 4,

Find f(–2)

f(–2) = 0

Quadratic Equations

100

Factor the quadratic equation:

x² + 10x + 16

(x + 2)(x + 8)

200

Factor the quadratic equation:

x² – 9x + 14

(x – 2)(x + 7)

300

Factor the quadratic equation:

5x² + 9x + 4

(5x + 4)(x + 1)

400

Solve:

x² = 225

x = 15

500

SOLVE the quadratic equation:

2x² – 11x – 6 = 0

x = 6, 

& 

x = –1/2

Name The Step

100

What is the first step when solving:

5x = 30

Divide both sides by 5

200

What is the first step when solving:

4x + 7 = 63

Subtract 7 from both sides

300

Congrats! You get to choose:

Option 1: Steal 200 points from your opponent

Option 2: Answer another question of your choice for double the amount its worth!

Answers vary

400

This question doesn't relate to the title. Write the quadratic formula for 400 points. NO NOTES!

x = (–b ⁺_– √b²–4ac) / 2a

500

Andrew is solving the following problem:

4x + 9 = 16

He begins by dividing both sides by 4, and then subtracts 9 from both sides. He ends with the answer

x = –5. Is he correct? Why or why not?

His is NOT correct. He did the steps in the wrong order. Subtract first, then divide. His answer should have been x = 7/4