Lesson Algebra
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nigelbowie06_94743
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• Slide 1
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ALGEBRA

Teachers:

Mr. Bowie

Ms. Lawrence • Slide 2
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Translate Word Phrases to Algebraic Equations

Remember, an equation has an equal sign between two algebraic expressions. So if we have a sentence that tells us that two phrases are equal, we can translate it into an equation. We look for clue words that mean equals.

• Slide 3
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Some words that translate to the equal sign are:

• is equal to

• is the same as

• is

• gives

• was

• will be

• Slide 4
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Translate the sentence into an algebraic equation: The product of 8 and 7 is 56.

• Locate the “equals” word(s). is

• Write the = sign.

• Translate the words to the left of the equals word into an algebraic expression. 8 x 7 = _

• Translate the words to the right of the equals word into an algebraic expression. 8 x 7 = 56

• Slide 5
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Example

A number n times 3 is equal to 120.

This is an easy one. The word "times" tells you that you must multiply the variable n by 3, and that the result is equal to 120. Here's how to write this equation:

3n = 120

• Slide 6
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Title

Tim worked for 7 hours on Saturday and mowed 3 lawns. How much time, on average, did he spend on each lawn?

Let the letter "t" represent the average time per lawn, the unknown value. Then, 3t would represent the time to mow all three lawns, and we know that this is equal to 7 hours. We can write the equation like this:

3t = 7 hours

• Slide 7
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Translate the sentence into an algebraic equation

• The sum of 6 and 9 is 15

6 + 9 = 15

• The sum of 3 and 4 gives 7

• 3 + 4 = 7

Three more than x is equal to 47

x + 3 = 47

• six less than x is equal to 35

x - 6 = 35

• Question 8
60 seconds
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Q.

Translate “a number decreased by eight equals twelve” into an equation

$\frac{8}{x}\ =\ 12$

x + 12 = 8

x - 8 = 12

$\frac{x}{8}\ =\ 12$

• Question 9
120 seconds
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Q.

You are planning a party for all of your friends. The cost of renting a room is $35, cost of food per person is$4.

How much will it cost if I brought 8 people to the party?

$67$57

$70$83

• Question 10
60 seconds
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Q.

Five times a number is equivalent to thirty-two less than nine time the same number.

5x - 32 = 9x

5x = 9x - 32

5x = 9x + 32

5x - 9x = 32

• Question 11
60 seconds
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Q.

Twice the difference of a number and 16 is equivalent to 28.

2x + 16 = 28

2x - 16 = 28

2(x + 16) = 28

2(x - 16) = 28

• Question 12
60 seconds
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Q.

One - third of the sum of a number and 24 is equivalent to 10.

1⁄3(x + 24) = 10

1⁄3x + 24 = 10

1⁄3(x - 24) = 10

1⁄3x + 10 = 24

• Question 13
60 seconds
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Q.

Three times the sum of a number and 7 is equivalent to 57.

3x + 7 = 57

3(x + 7) = 57

7x + 3 = 57

7(x + 3) = 57

• Question 14
120 seconds
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Q.

A gymnastics center charges a $60 registration fee and$15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for? answer choices 60 - 15x = 210 15x - 60 = 210 15x + 60 = 210 210 + 15x = 60 • Question 15 120 seconds Report an issue Q. Justin is purchasing a new iPhone. The sales clerk says that if he pays$100 now his monthly payments will be $25 and his total cost will be$600. Which equation can be used to determine how many months Justin will be paying for his phone?

25x + 100 = 600

25x - 100 = 600

600 - 100x = 25

600 + 25x = 100

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