Solving Multi-Step Equations through Factoring

Math Response

INDEPENDENT PRACTICE

Write the equation that is represented by the given arrangement of algebra tiles.

Type answer here

Correct Answer: -3x+4=-2x+1

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Multiple Choice

INDEPENDENT PRACTICE

What is the value of variable-x in the equation represented by the arrangement of algebra tiles?

• x= 3

• x= -5

• x= 1.333...

• x= 0.5

Math Response

1. PARTNER PRACTICE SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES

Each partner pick a different method for solving the equation just as Teddy and Topher.

$$3x-6=5x+8$$

Type answer here

Correct Answer: -7

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Math Response

2. PARTNER PRACTICE SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES

2). Each partner pick a different method for solving the equation just as Teddy and Topher.

$$2x-7=-5x+14$$

Type answer here

Correct Answer: 3

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Multiple Choice

3A. PARTNER PRACTICE

FACTORING TO SOLVE MULTI-STEP EQUATIONS ALGEBRAICALLY

Which of the following would the GCF (greatest common factor) for simplifying the following equation?

$$-4x+8=2x+10$$

• GCF= 2

• GCF= 4

• GCF= 10

• GCF= 3

Math Response

3B. PARTNER PRACTICE

FACTORING TO SOLVE MULTI-STEP EQUATIONS ALGEBRAICALLY

Write the simplified equation AFTER factoring by the GCF of 2.

$$-4x+8=2x+10$$

NOTE: To factor the equation with GCF, divide EVERYTHING by the GCF.

Type answer here

Correct Answer: -2x+4=x+5

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Multiple Choice

4A. PARTNER PRACTICE

FACTORING EQUATIONS OF RATIONAL COEFFICIENTS

Which of the following would the LCD (least common denominator) for simplifying the following equation?

$$\frac{10x+6}{4}=3x+\frac{1}{2}$$

• LCD = 2

• LCD = 4

• LCD = 10

• LCD = 3

Math Response

4B. PARTNER PRACTICE

FACTORING TO SOLVE MULTI-STEP EQUATIONS ALGEBRAICALLY

Write the simplified equation AFTER factoring by the LCD of 4.

$$\frac{10x+6}{4}=3x+\frac{1}{2}$$

NOTE: To factor the equation by LCD, multiply EVERYTHING by the LCD.

Type answer here

Correct Answer: 10x+6=12x+2

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Math Response

5A. PARTNER PRACTICE

FACTORING EQUATIONS OF RATIONAL COEFFICIENTS

Which of the following would the LCD (least common denominator) for simplifying the following equation?

$$\frac{5}{2}x+\frac{7}{5}=\frac{1}{2}x+2$$

Type answer here

Correct Answer: 10

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Math Response

5B. PARTNER PRACTICE

FACTORING TO SOLVE MULTI-STEP EQUATIONS ALGEBRAICALLY

Write the simplified equation AFTER factoring by the LCD of 10.

$$\frac{5}{2}x+\frac{7}{5}=\frac{1}{2}x+2$$

NOTE: To factor the equation by LCD, multiply EVERYTHING by the LCD.

Type answer here

Correct Answer: 25x+14=5x+20

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Multiple Choice

EXIT TICKET TEK: 8.8A

Solve to determine what value of variable-x makes the equation true?

$$\frac{4\left(x-8\right)}{5}=16+\frac{1}{3}x$$

• x= 48

• x= 32

• x= 15

• x= 24