Equations & Inequalities Classwork - Cole

Write an inequality for the graph below.

• -2 < x < 5

• -2 < x < 5

• -2 < x < 5

• -2 < x < 5

Which step would be an appropriate first step to solve the inequality? $3\left(x-1\right)\ge-9+5x$  

• Add 9 on both sides

• Distribute the 3 to eliminate the parenthesis

• Add 5x to both sides to isolate the variable

• Combine -9 and 5x to simplify the problem

What is the solution of this inequality?

5b - 2 - 2b < 13

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Brian solves the equation 5x + 2(x + 3) = 125. What did he do to go from Step 2 to Step 3?

Step 1: 5x + 2(x + 3) = 125

Step 2: 5x + 2x + 6 = 125

Step 3: 7x + 6 = 125

Step 4: 7x = 119

Step 5: x = 17

• Combined like terms

• Distributive property

• Addition property of equality

• Multiplicative property of equality

Jose solved the inequality but made an error. What was his mistake?

• Jose distributed incorrectly and it should be 3x - 6

• Jose added 18 on both sides instead of subtracting 18

• Jose subtracted x, instead of adding to combine like terms.

• Jose divided by 2 instead of multiplying by 2.

Write an inequality for the graph below.

• -2 < x < 5

• -2 < x < 5

• -2 < x < 5

• -2 < x < 5

Solve the equation and type your answer below. Check your work! $5\left(x-3\right)+5=2x-4$  

Which of the follow BEST describes the step for solving the equation from Step 2 to Step 3?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplicative Property of Equality

• Division Property of Equality

• Combine Like Terms

What value of x satisfies the equation? $\frac{x}{6}+\frac{x}{3}=8$  

• x = 3

• x = 4

• x = 16

• x = 32

Simplify the expression (2x² + 5) - (4x² - 3)

• 6x² + 8

• 6x² + 2

• -2x² + 2

• -2x² + 8