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ISEE Middle Level Math : Algebraic Concepts

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #835 : Concepts

$7\frac{3}{6}\div 11\frac{2}{3}=$

Possible Answers:

$\frac{9}{16}$

$\frac{9}{14}$

Correct answer:

$\frac{9}{14}$

Explanation:

First, convert each mixed number into an improper fraction:

$\frac{45}{6}\div \frac{35}{3}=$

Then, change the operation to multiplication and flip the second fraction:

$\frac{45}{6}\ast \frac{3}{35}=$

Reduce and multiply:

$\frac{45}{6}\ast \frac{3}{35}=\frac{9}{2}\ast \frac{1}{7}=\frac{9}{14}$

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Example Question #16 : How To Find The Solution To An Equation

Jasmine is participating in a swimming race. If the race is 3000 yards, what percentage of the race has she completed at the 2400 yardline?

Possible Answers:

Correct answer:

Explanation:

Divide $2400\div 3000=.80$ .

Answer: Jasmine has completed 80% of the race.

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Example Question #836 : Concepts

$14\frac{2}{7}\div 2\frac{4}{14}=$

Possible Answers:

$6\frac{3}{6}$

$6\frac{1}{4}$

Correct answer:

$6\frac{1}{4}$

Explanation:

First, convert each fraction into an improper fraction. Then, change the operation to multiplication and flip the second fraction. Reduce and multiply.

$14\frac{2}{7}\div 2\frac{4}{14}=\frac{100}{7}\div \frac{32}{14}=\frac{100}{7}\cdot \frac{14}{32}=\frac{25}{1}\cdot \frac{2}{8}=\frac{50}{8}=\frac{25}{4}=6\frac{1}{4}$

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Example Question #837 : Concepts

Nelson received $64.00 in holiday gifts. If he would like to buy a baseball bat for $16.00, a glove for $34.00, and a cap for $11.00, how much money will he have left over?

Possible Answers:

$3.00

5.00

4.00

2.00

Correct answer:

$3.00

Explanation:

First, add up all the items on his wish list:

16+34+11=61

Then, subtract that amount from the original amount:

$64-61=\$ 3$

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Example Question #838 : Concepts

Angelina leaves her home at 6 AM. If she drives 65 miles per hour, what time will she arrive to her grandfather's home, 195 miles away?

Possible Answers:

10:00am

9:00pm

9:00am

11:00am

Correct answer:

9:00am

Explanation:

First, divide $195\div 65=3$ .

Then, calculate what time Angelina will arrive by adding 3 hours to 6:00.

6+3=9

The answer is 9:00 AM.

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Example Question #839 : Concepts

$\frac{\sqrt{36} \div \sqrt{4}}{2}=$

Possible Answers:

$1\frac{1}{2}$

$4\frac{1}{2}$

Correct answer:

$1\frac{1}{2}$

Explanation:

First, find the square root for each number:

$\sqrt{36}=6$

$\sqrt{4}=2$

Solve the equation accordingly:

$\frac{6\div 2}{2}=$

$\frac{3}{2}=1 \frac{1}{2}$

The answer is $1\frac{1}{2}$ .

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Example Question #841 : Concepts

7(6+11+4)=

Possible Answers:

147

127

Correct answer:

147

Explanation:

First, add up the numbers in the parentheses:

7(6+11+4)=7(21)

Then, multiply:

7(21)=147

The answer is 147.

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Example Question #21 : How To Find The Solution To An Equation

Sove for :

2x + 8 = 26

Possible Answers:

x = 18

x=34

x = 9

x= 17

x= 12

Correct answer:

x = 9

Explanation:

2x + 8 = 26

2x + 8 -8= 26-8

2x = 18

$2x \div 2 = 18\div 2$

x = 9

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Example Question #842 : Concepts

Solve for :

-3 (x + 9) = 36

Possible Answers:

x= -21

x=15

x=-3

x=-15

x=3

Correct answer:

x= -21

Explanation:

-3 (x + 9) = 36

$-3 \cdot x +\left ( -3 \right ) \cdot 9 = 36$

-3 x -27= 36

-3 x -27+27 = 36+27

-3 x = 63

$-3 x \div (-3)= 63\div (-3)$

x= -21

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Example Question #23 : How To Find The Solution To An Equation

Solve for :

4x + 15 = x + 84

Possible Answers:

$x= 24\frac{3}{4}$

x= 23

$x = 17 \frac{1}{4}$

$x = 13 \frac{4}{5}$

x=33

Correct answer:

x= 23

Explanation:

4x + 15 = x + 84

4x -x + 15 = x -x + 84

3x+ 15 = 84

3x+ 15 -15= 84-15

3x= 69

$3x \div 3= 69\div 3$

x= 23

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Algebraic Concepts

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #835 : Concepts

Example Question #16 : How To Find The Solution To An Equation

Example Question #836 : Concepts

Example Question #837 : Concepts

Example Question #838 : Concepts

Example Question #839 : Concepts

Example Question #841 : Concepts

Example Question #21 : How To Find The Solution To An Equation

Example Question #842 : Concepts

Example Question #23 : How To Find The Solution To An Equation

All ISEE Middle Level Math Resources

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