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MAP 5th Grade Math : Operations and Algebraic Thinking

Study concepts, example questions & explanations for MAP 5th Grade Math

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Example Questions

Example Question #1 : Map 5th Grade Math

Complete the table below using the equation y=10x+4 $\displaystyle y=10x+4$

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Possible Answers:

174 $\displaystyle 174$

162 $\displaystyle 162$

164 $\displaystyle 164$

172 $\displaystyle 172$

Correct answer:

164 $\displaystyle 164$

Explanation:

We need to use both the equation and the table to answer this question. We are looking for the corresponding $\displaystyle y$ value for x=16 $\displaystyle x=16$ . We can plug $\displaystyle 16$ into the $\displaystyle x$ in our equation to solve for $\displaystyle y$ .

$\displaystyle y=10(16)+4$

y=160+4 $\displaystyle y=160+4$

y=164 $\displaystyle y=164$

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Example Question #1 : Operations And Algebraic Thinking

Sally drank $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ . What fraction of the milk did they drink?

Possible Answers:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\frac{3}{15}$ $\displaystyle \frac{3}{15}$

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$

Correct answer:

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Explanation:

$\frac{1}{12}+\frac{2}{3}$ $\displaystyle \frac{1}{12}+\frac{2}{3}$

In order to solve this problem, we first need to make common denominators.

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$ $\displaystyle \frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{1}{12}+\frac{8}{12}=\frac{9}{12}$ $\displaystyle \frac{1}{12}+\frac{8}{12}=\frac{9}{12}$

$\frac{9}{12}$ $\displaystyle \frac{9}{12}$ can be reduced by dividing $\displaystyle 3$ by both sides.

$\frac{9}{12}\div \frac{3}{3}=\frac{3}{4}$ $\displaystyle \frac{9}{12}\div \frac{3}{3}=\frac{3}{4}$

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Example Question #2 : Operations And Algebraic Thinking

David ate $\frac{3}{12}$ $\displaystyle \frac{3}{12}$ of the pizza and Alison ate $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of the pizza. How much of the pizza did they eat?

Possible Answers:

$\frac{6}{12}$ $\displaystyle \frac{6}{12}$

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

$\frac{4}{15}$ $\displaystyle \frac{4}{15}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Correct answer:

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

Explanation:

$\frac{3}{12}+\frac{1}{3}$ $\displaystyle \frac{3}{12}+\frac{1}{3}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{3}\times\frac{4}{4}=\frac{4}{12}$ $\displaystyle \frac{1}{3}\times\frac{4}{4}=\frac{4}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{3}{12}+\frac{4}{12}=\frac{7}{12}$ $\displaystyle \frac{3}{12}+\frac{4}{12}=\frac{7}{12}$

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MAP 5th Grade Math : Operations and Algebraic Thinking

Study concepts, example questions & explanations for MAP 5th Grade Math

All MAP 5th Grade Math Resources

Example Questions

Example Question #1 : Map 5th Grade Math

Example Question #1 : Operations And Algebraic Thinking

Example Question #2 : Operations And Algebraic Thinking

All MAP 5th Grade Math Resources

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