Writing Expressions and Equations from Situations

Multiple Choice

BELL-RINGER QUESTION #1

Figure I and Figure II are similar quadrilaterals.

Which proportion must be true?

• $$\frac{a}{b}=\frac{8}{2}$$

• $$\frac{3.2}{2}=\frac{a}{8}$$

• $$\frac{b}{6.4}=\frac{8}{5}$$

• $$\frac{2}{3.2}=\frac{b}{a}$$

Directions: Follow along with the video and take note for writing algebraic expressions from situations to solve equations.

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VIDEO NOTES: WRITE ALGEBRAIC EXPRESSIONS TO SOLVE EQUATIONS

Match

PARTNER PRACTICE #1
WRITING ALGEBRAIC EXPRESSIONS FROM SITUATIONS

Determine which algebraic expression should correspond to the given students description of tabs collected.​

• Sadie collected the least number of pull tabs.

• Emma collected 15 more pull tabs than Sadie.

• Ricky collected 4 times as many as Emma.

• Lily collected 10 fewer than Ricky.

x

(x + 15)

4(x + 15)

4(x + 15) - 10

• x

• (x + 15)

• 4(x + 15)

• 4(x + 15) - 10

Math Response

INDEPENDENT PRACTICE #2
WRITING ALGEBRAIC EXPRESSIONS FROM SITUATIONS

Determine the algebraic expression used to describe the situation for the students number of DVDs received, colored in green.

•Dan has the fewest.

•Donna has 7 more than Dan.

•Britney has twice as many as Donna.

•Jimmy has 3 times as many as Dan.

•Kenesha has 6 fewer than Donna.

Type answer here

Correct Answer: x

Deg^°

Rad

Math Response

INDEPENDENT PRACTICE #3
WRITING ALGEBRAIC EXPRESSIONS FROM SITUATIONS

Determine the algebraic expression used to describe the situation for the students number of DVDs received, colored in green.

•Dan has the fewest.

•Donna has 7 more than Dan.

•Britney has twice as many as Donna.

•Jimmy has 3 times as many as Dan.

•Kenesha has 6 fewer than Donna.

Type answer here

Correct Answer: x+7

Deg^°

Rad

Math Response

INDEPENDENT PRACTICE #4
WRITING ALGEBRAIC EXPRESSIONS FROM SITUATIONS

Determine the algebraic expression used to describe the situation for the students number of DVDs received, colored in green.

•Dan has the fewest.

•Donna has 7 more than Dan.

•Britney has twice as many as Donna.

•Jimmy has 3 times as many as Dan.

•Kenesha has 6 fewer than Donna.

Type answer here

Correct Answer: 2\left(x+7\right)

Deg^°

Rad

Math Response

INDEPENDENT PRACTICE #5
WRITING ALGEBRAIC EXPRESSIONS FROM SITUATIONS

Determine the algebraic expression used to describe the situation for the students number of DVDs received, colored in green.

•Dan has the fewest.

•Donna has 7 more than Dan.

•Britney has twice as many as Donna.

•Jimmy has 3 times as many as Dan.

•Kenesha has 6 fewer than Donna.

Type answer here

Correct Answer: 3x

Deg^°

Rad

Math Response

INDEPENDENT PRACTICE #6
WRITING ALGEBRAIC EXPRESSIONS FROM SITUATIONS

Determine the algebraic expression used to describe the situation for the students number of DVDs received, colored in green.

•Dan has the fewest.

•Donna has 7 more than Dan.

•Britney has twice as many as Donna.

•Jimmy has 3 times as many as Dan.

•Kenesha has 6 fewer than Donna.

Type answer here

Correct Answer: \left(x+7\right)-6

Deg^°

Rad

Match

PARTNER PRACTICE #7

SOLVING LINEAR EQUATIONS OF SITUATIONS

If the original group of the five friends has a total of 182 DVDs all together, then determine how many does each person have using the algebraic expressions to write an equation.

NOTE: Write the expressions as a simplified equation to solve for variable-x.

• Dan's DVDs

• Donna's DVDs

• Britney's DVDs

• Jimmy's DVDs

• Kenesha's DVDs

20 DVDs

27 DVDs

54 DVDs

60 DVDs

21 DVDs

• 20 DVDs

• 27 DVDs

• 54 DVDs

• 60 DVDs

• 21 DVDs

Math Response

PARTNER PRACTICE #8
SOLVING LINEAR EQUATIONS OF SITUATIONS

Determine the algebraic expression used to describe the situation for the money raised at the different locations, colored in green.

•Back Street location raised the least amount.

•The Main Street location raised $50 more than the Back Street location.

•The Washington Street location raised $50 more than half the amount raised at the Back Street location.

Type answer here

Correct Answer: x

Deg^°

Rad

Math Response

PARTNER PRACTICE #9
SOLVING LINEAR EQUATIONS OF SITUATIONS

Determine the algebraic expression used to describe the situation for the money raised at the different locations, colored in green.

•Back Street location raised the least amount.

•The Main Street location raised $50 more than the Back Street location.

•The Washington Street location raised $50 more than half the amount raised at the Back Street location.

Type answer here

Correct Answer: x+50

Deg^°

Rad

Math Response

PARTNER PRACTICE #10
SOLVING LINEAR EQUATIONS OF SITUATIONS

Determine the algebraic expression used to describe the situation for the money raised at the different locations, colored in green.

•Back Street location raised the least amount.

•The Main Street location raised $50 more than the Back Street location.

•The Washington Street location raised $50 more than half the amount raised at the Back Street location.

Type answer here

Correct Answer: \frac{1}{2}x+50

Deg^°

Rad

Multiple Choice

PARTNER PRACTICE #11

SOLVING LINEAR EQUATIONS OF SITUATIONS

The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms.

•The Main Street location raised $50 more than the Back Street location.

•The Washington Street location raised $50 more than half the amount raised at the Back Street location.

How much did the dance team raise at the Back Street location if they raised a total of $600?

• $200

• $220

• $450

• $600

Multiple Choice

PARTNER PRACTICE #12

SOLVING LINEAR EQUATIONS OF SITUATIONS

The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms.

•The Main Street location raised $50 more than the Back Street location.

•The Washington Street location raised $50 more than half the amount raised at the Back Street location.

How much did the dance team raise at the Main Street location if they raised a total of $800?

• $250

• $280

• $330

• $540

Multiple Choice

PARTNER PRACTICE #13

SOLVING LINEAR EQUATIONS OF SITUATIONS

The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms.

•The Main Street location raised $50 more than the Back Street location.

•The Washington Street location raised $50 more than half the amount raised at the Back Street location.

How much did the dance team raise at the Washington Street location if they raised a total of $400?

• $110

• $120

• $240

• $60

Math Response

PARTNER PRACTICE #14
SOLVING LINEAR EQUATIONS OF SITUATIONS

Write the linear equation that represents the situation for the money spent by the brothers on their vacation, colored in green.

•Matt spent $25 less than Todd.

•Jeff spent 3 times as much as Matt.

How much did each brother spend if they spent a total of $275?

Type answer here

Correct Answer: x+\left(x-25\right)+3\left(x-25\right)=275

Deg^°

Rad

Multiple Choice

EXIT TICKET 01/17 - TEK 8.8C

Three waiters at a local restaurant earned different amounts of money the past week. Jennifer earned $40 less than twice the amount Tony earned. Chris earned $60 more than Tony. How much did Chris earn if they earned a total of $900 altogether?

• $400.00

• $280.00

• $220.00

• $300.00