Unit 1A - Solving Equations & Inequalities

​Unit 1A Review

Unit 1A Common Assessment TOMORROW!

Multiple Choice

Classify the following polynomial:  $$x^2+5x-2$$  

• Monomial

• Binomial

• Trinomial

Multiple Choice

Identify the leading coefficient:  $$x^2+5x-2$$  

• 1

• 5

• -2

Fill in the Blank

What value of x satisfies the equation $$\frac{x}{3}+\frac{x}{6}=5$$  ? 

Multiple Choice

What would be the best first step?

$$5\left(x+6\right)=2x-3$$  

• Distribute the 5.

• Combine the 2x and 3.

• Combine the x and 6.

• Subtract 2x on both sides.

Multiple Choice

Use the inequality to answer the following question. 

$$-2\left(5x-3\right)\ \le14$$  

Which of the following inequalities could be the result of the first step in solving the inequality for x?

• $$5x-3\ge-7$$  

• $$5x-3\le16$$  

• $$-10x-3\le14$$  

• $$-10x+6\le14$$  

Multiple Choice

Which of the following statements BEST describes how to get from Step 2 to Step 3?

2(4x + 8) + 3x = 12

Step 1:     8x + 16 + 3x = 12

Step 2:           11x + 16 = 12

Step 3:                  11x = -4

Step 4:          x = $$-\frac{4}{11}$$  

• Associative Property of Addition

• Addition Property of Equality

• Subtraction Property of Equality

• Commutative Property of addition

Multiple Choice

Which of the following graphs represents the solution to the inequality $$x-6x\le-25$$  ?

Multiple Choice

 Which of the following inequalities has the solution set that is shown in the graph?

• 0 < x < 5

• 0 ≤ x ≤ 5

• 0 ≤ x < 5

• 0 < x ≤ 5

Open Ended

What error has the student made?

​How do you correctly subtract the two polynomials? Show your work.

​What is the solution to the original equation 

8(3x – 7) = -6(x + 7) + 4?

Show your work.