Algebera 2 - Solving Linear Equations and Inequalities

Algebra 2 - 2.1 Solving Linear Equations and Inequalities

"...Keep your balance..."

Multiple Choice

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

• -33b + 19
• -47b² +  21
• 33b - 19
• -47b -19

Multiple Choice

Simplify the expression:
6 + 2(7x - 3) 

• 12 + 7x
• 14x
• 8x + 6
• 9 + 7x

Multiple Choice

n -10 +9n -3=

• -3
• 9n-3
• n
• 10n -13

Example 1

notes....

Multiple Choice

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

• 3
• -3
• -5
• 5

Multiple Choice

Solve: -7(z - 6) = -70

• 16
• -16
• 8
• -1/2

Multiple Choice

Solve for x: 
4x + 1 = 7x - 5

• -1
• 2
• 6/11
• 8

Example 3

notes....

Multiple Choice

 $C=\frac{5}{9}\left(F-32\right);\ for\ F$  

•  $F=\frac{5}{9}C+32$  

•  $F=\frac{5}{9}C\ -32$  

•  $F=\frac{9}{5}C\ -32$  

•  $F=\frac{9}{5}C\ +32$  

Multiple Choice

Solve for h in the area of a trapezoid formula:

 $A=\frac{1}{2}h\left(a+b\right)$  

•  $h=\frac{A}{2}-a-b$  

•  $h=\frac{2A-b}{a}$  

•  $h=\frac{2A}{a+b}$  

•  $h=\frac{1}{2}A\left(a+b\right)$  

Example 6-7

notes....

Multiple Choice

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Multiple Choice

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Multiple Choice

Solve the inequality

• x ≤ 2

• x ≤ -2

• x ≥ 2

• x ≥ -2

Homework Time