Ryan was asked to solve the equation $$\frac{3}{5}x = \frac{1}{2} + \frac{7}{10}x$$ . He believes the solution is $$x=-5$$ . How can Ryan know if his solution is correct?

By substituting -5 into the equation, using DESMOS, and checking if both sides are equal

By graphing the equation and checking if -5 is an intercept

By solving the equation again using a different method

By asking someone else to verify his solution

Match the verbal translation to the equation.

14 is 7 times the sum of a number and 6

14 is the sum of 7 times a number and 6

14 is 7 times the difference of a number and 6

14 is 6 less than 7 times a number

Sofia is a social media influencer for a new footwear company. She is paid $5.00 fir every post (p) she makes by a local store that sells the shoes and $25.00 for every post (p) that she makes by the company that makes the shoes. She also receives a flat fee of $100 to cover her expenses. Last week she earned $1,450.00. She wrote the equation $$5p+100+25p=1450$$ to represent her earnings. Choose the correct solution and the meaning of the solution.

A. 45; She made 45 posts last week.

B. 45; She needs to earn 45 dollars.

C. 52; She made 52 posts last week.

D. 52; She needs to earn 52 dollars.

Which of the following situations could represent the equation 10x + 5 = 5x + 30?

A person earns $10 per hour and has a $5 bonus, while another person earns $5 per hour and has a $30 bonus.

A person has 10 apples and buys 5 more, while another person has 5 apples and buys 30 more.

A person has 10 books and gives away 5, while another person has 5 books and gives away 30.

A person runs 10 miles and then 5 more, while another person runs 5 miles and then 30 more.

CA4 Solving Algebraic Equations

Authored by Bette Horsington

Mathematics

8th Grade

CCSS covered

Used 9+ times

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23 questions

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FILL IN THE BLANK QUESTION

1 min • 1 pt

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

y = 4

y = 3

y = 5

y = 2

MATCH QUESTION

1 min • 1 pt

Match the term with its simple definition

a letter or a symbol

Algebraic Equation

does not have an = sign

Variable

has an = sign

Algebraic Expression

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the solution to the equation represented by the model shown?

Tags

CCSS.7.EE.B.4A

FILL IN THE BLANK QUESTION

1 min • 1 pt

Use the picture of the balance to write an equation. Write the equation the space below.

Tags

CCSS.HSA.CED.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation on the balance. What is the value of x?

x = 5

x = 4

x = 3

x = 9

Tags

CCSS.7.EE.B.4A

FILL IN THE BLANK QUESTION

1 min • 1 pt

Tags

CCSS.6.EE.A.2C

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