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Common Core: High School - Algebra : System of Equations and Inequalities: CCSS.Math.Content.HSA-CED.A.3

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Example Questions

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 8 apples in a small fruit basket and 14 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 58 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 8s+5l=58$

$\displaystyle 8s+14l=58$

$\displaystyle 2s+4l=58$

$\displaystyle 8s+58l=14$

$\displaystyle 14s+8l=58$

Correct answer:

$\displaystyle 8s+14l=58$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$ $\displaystyle \\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 8s+14l=58$

Report an Error

Example Question #2 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 6 apples in a small fruit basket and 10 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that has a combined total of 34 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 6s+10l=32$

$\displaystyle 8s+10l=34$

$\displaystyle 34s+10l=6$

$\displaystyle 6s+34l=10$

$\displaystyle 6s+10l=34$

Correct answer:

$\displaystyle 6s+10l=34$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=6\text{ apples} \\\text{large fruit basket}=10\text{ apples}$ $\displaystyle \\\text{small fruit basket}=6\text{ apples} \\\text{large fruit basket}=10\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=34\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=34\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 6s+10l=34$

Report an Error

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 3 apples in a small fruit basket and 7 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 31 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

5s+7l=3 $\displaystyle 5s+7l=3$

3s+7l=5 $\displaystyle 3s+7l=5$

$\displaystyle 3s+7l=31$

$\displaystyle 7s+3l=31$

$\displaystyle 3s+5l=31$

Correct answer:

$\displaystyle 3s+7l=31$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=3\text{ apples} \\\text{large fruit basket}=7\text{ apples}$ $\displaystyle \\\text{small fruit basket}=3\text{ apples} \\\text{large fruit basket}=7\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=31\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=31\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 3s+7l=31$

Report an Error

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 5 apples in a small fruit basket and 10 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 40 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 10s+40l=5$

$\displaystyle 5s+40l=10$

10l=45 $\displaystyle 10l=45$

$\displaystyle 5s+1l=40$

$\displaystyle 5s+10l=40$

Correct answer:

$\displaystyle 5s+10l=40$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=5\text{ apples} \\\text{large fruit basket}=10\text{ apples}$ $\displaystyle \\\text{small fruit basket}=5\text{ apples} \\\text{large fruit basket}=10\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=40\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=40\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 5s+10l=40$

Report an Error

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 15 apples in a small fruit basket and 20 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 95 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 15s+2l=95$

$\displaystyle 95s+20l=5$

$\displaystyle 15s+20l=95$

$\displaystyle 5s+20l=95$

$\displaystyle 95s+20l=15$

Correct answer:

$\displaystyle 15s+20l=95$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=15\text{ apples} \\\text{large fruit basket}=20\text{ apples}$ $\displaystyle \\\text{small fruit basket}=15\text{ apples} \\\text{large fruit basket}=20\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=95\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=95\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 15s+20l=95$

Report an Error

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 8 apples in a small fruit basket and 14 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 58 apples, write the system of equation that represents the Sally situation.

Possible Answers:

$\\8s+14l=58 \\s+l=5$ $\displaystyle \\8s+14l=58 \\s+l=5$

$\\3s+2l=5 \\s+l=58$ $\displaystyle \\3s+2l=5 \\s+l=58$

$\\s+4l=5 \\8s+14l=58$ $\displaystyle \\s+4l=5 \\8s+14l=58$

$\\8s+14l=58 \\5l=5$ $\displaystyle \\8s+14l=58 \\5l=5$

$\\8s+14l=5 \\s+l=58$ $\displaystyle \\8s+14l=5 \\s+l=58$

Correct answer:

$\\8s+14l=58 \\s+l=5$ $\displaystyle \\8s+14l=58 \\s+l=5$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$ $\displaystyle \\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 8s+14l=58$

Now, since there are 5 fruit baskets set up another equation.

$\\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$ $\displaystyle \\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$

From here set up the system of equation for this situation.

$\\8s+14l=58 \\s+l=5$ $\displaystyle \\8s+14l=58 \\s+l=5$

Report an Error

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 6 apples in a small fruit basket and 10 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that has a combined total of 34 apples, write a system of equation that represents Sally's situation.

Possible Answers:

$\\6s+10l=34 \\s+l=5$ $\displaystyle \\6s+10l=34 \\s+l=5$

$\\6s+10l=34 \\s+4l=5$ $\displaystyle \\6s+10l=34 \\s+4l=5$

$\\6s+10l=34 \\s+2l=5$ $\displaystyle \\6s+10l=34 \\s+2l=5$

$\\6s+10l=34 \\4s+l=5$ $\displaystyle \\6s+10l=34 \\4s+l=5$

$\\6s+10l=34 \\2s+l=5$ $\displaystyle \\6s+10l=34 \\2s+l=5$

Correct answer:

$\\6s+10l=34 \\s+l=5$ $\displaystyle \\6s+10l=34 \\s+l=5$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=6\text{ apples} \\\text{large fruit basket}=10\text{ apples}$ $\displaystyle \\\text{small fruit basket}=6\text{ apples} \\\text{large fruit basket}=10\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=34\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=34\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 6s+10l=34$

Now, since there are 5 fruit baskets set up another equation.

$\\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$ $\displaystyle \\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$

From here set up the system of equation for this situation.

$\\6s+10l=34 \\s+l=5$ $\displaystyle \\6s+10l=34 \\s+l=5$

Report an Error

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 3 apples in a small fruit basket and 7 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 31 apples, write a system of equations that represents Sally's situation.

Possible Answers:

$\\3s+7l=5 \\s+l=31$ $\displaystyle \\3s+7l=5 \\s+l=31$

$\\3s+7l=31 \\s+l=5$ $\displaystyle \\3s+7l=31 \\s+l=5$

$\\3s+7l=31 \\s+4l=5$ $\displaystyle \\3s+7l=31 \\s+4l=5$

$\\3s+7l=31 \\2s+3l=5$ $\displaystyle \\3s+7l=31 \\2s+3l=5$

$\\3s+7l=31 \\4s+l=5$ $\displaystyle \\3s+7l=31 \\4s+l=5$

Correct answer:

$\\3s+7l=31 \\s+l=5$ $\displaystyle \\3s+7l=31 \\s+l=5$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=3\text{ apples} \\\text{large fruit basket}=7\text{ apples}$ $\displaystyle \\\text{small fruit basket}=3\text{ apples} \\\text{large fruit basket}=7\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=31\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=31\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 3s+7l=31$

Now, since there are 5 fruit baskets set up another equation.

$\\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$ $\displaystyle \\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$

From here set up the system of equation for this situation.

$\\3s+7l=31 \\s+l=5$ $\displaystyle \\3s+7l=31 \\s+l=5$

Report an Error

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 5 apples in a small fruit basket and 10 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 40 apples, write a system of equations that describes Sally's situation.

Possible Answers:

$\\5s+10l=40 \\3s+l=5$ $\displaystyle \\5s+10l=40 \\3s+l=5$

$\\s+10l=40 \\s+l=5$ $\displaystyle \\s+10l=40 \\s+l=5$

$\\5s+10l=40 \\s+2l=5$ $\displaystyle \\5s+10l=40 \\s+2l=5$

$\\5s+l=40 \\s+l=5$ $\displaystyle \\5s+l=40 \\s+l=5$

$\\5s+10l=40 \\s+l=5$ $\displaystyle \\5s+10l=40 \\s+l=5$

Correct answer:

$\\5s+10l=40 \\s+l=5$ $\displaystyle \\5s+10l=40 \\s+l=5$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=5\text{ apples} \\\text{large fruit basket}=10\text{ apples}$ $\displaystyle \\\text{small fruit basket}=5\text{ apples} \\\text{large fruit basket}=10\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=40\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=40\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 5s+10l=40$

Now, since there are 5 fruit baskets set up another equation.

$\\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$ $\displaystyle \\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$

From here set up the system of equation for this situation.

$\\5s+10l=40 \\s+l=5$ $\displaystyle \\5s+10l=40 \\s+l=5$

Report an Error

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 15 apples in a small fruit basket and 20 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 95 apples, write a system of equations that represents Sally's situation.

Possible Answers:

$\\15s+20l=95 \\3s+l=5$ $\displaystyle \\15s+20l=95 \\3s+l=5$

$\\15s+20l=95 \\s+l=5$ $\displaystyle \\15s+20l=95 \\s+l=5$

$\\5s+20l=95 \\s+l=5$ $\displaystyle \\5s+20l=95 \\s+l=5$

$\\15s+20l=95 \\s+2l=5$ $\displaystyle \\15s+20l=95 \\s+2l=5$

$\\15s+20l=95 \\s+4l=5$ $\displaystyle \\15s+20l=95 \\s+4l=5$

Correct answer:

$\\15s+20l=95 \\s+l=5$ $\displaystyle \\15s+20l=95 \\s+l=5$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=15\text{ apples} \\\text{large fruit basket}=20\text{ apples}$ $\displaystyle \\\text{small fruit basket}=15\text{ apples} \\\text{large fruit basket}=20\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=95\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=95\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 15s+20l=95$

Now, since there are 5 fruit baskets set up another equation.

$\\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$ $\displaystyle \\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$

From here set up the system of equation for this situation.

$\\15s+20l=95 \\s+l=5$ $\displaystyle \\15s+20l=95 \\s+l=5$

Report an Error

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Common Core: High School - Algebra : System of Equations and Inequalities: CCSS.Math.Content.HSA-CED.A.3

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #2 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

All Common Core: High School - Algebra Resources

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