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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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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 #1541 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\displaystyle 13(9+0)=$

Possible Answers:

130 $\displaystyle 130$

$\displaystyle 90$

$\displaystyle 0$

117 $\displaystyle 117$

Correct answer:

117 $\displaystyle 117$

Explanation:

First perform the operations in parentheses; then multiply:

$\displaystyle 13(9+0)=13(9)=117$

Answer: 117 $\displaystyle 117$

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Example Question #1542 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\displaystyle 7(24+8)=$

Possible Answers:

225 $\displaystyle 225$

224 $\displaystyle 224$

$\displaystyle 39$

$\displaystyle 30$

Correct answer:

224 $\displaystyle 224$

Explanation:

According to the order of operations, we must first complete the addition, and then the multiplication:

$\displaystyle 7(24+8)=7(32)=224$

Answer: 224 $\displaystyle 224$

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Example Question #1543 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which equation demonstrates the distributive property?

Possible Answers:

$8\div24=8\div20 +8\div4$ $\displaystyle 8\div24=8\div20 +8\div4$

$8\times24=8\times20\times4$ $\displaystyle 8\times24=8\times20\times4$

$8 (24)=8 \times10+8\times10+8\times4$ $\displaystyle 8 (24)=8 \times10+8\times10+8\times4$

$8\times24=8+20\times8+4$ $\displaystyle 8\times24=8+20\times8+4$

Correct answer:

$8 (24)=8 \times10+8\times10+8\times4$ $\displaystyle 8 (24)=8 \times10+8\times10+8\times4$

Explanation:

The distributive property is explained in the following equation: $a\times (b+c)=a\times b+a\times c$ $\displaystyle a\times (b+c)=a\times b+a\times c$

It is important to remember that the distributive property does not apply to division.

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Example Question #92 : How To Find The Distributive Property

Simplify the following algebraic expression:

$\displaystyle 6(x +20)$

Possible Answers:

$\displaystyle 6 +x + 26$

6x +120 $\displaystyle 6x +120$

6x + 26 $\displaystyle 6x + 26$

120x $\displaystyle 120x$

Correct answer:

6x +120 $\displaystyle 6x +120$

Explanation:

According to the distributive property, when you multiply a number or variable by the sum of a group of numbers or variables, you will get the same answer as multiplying each number or variable separately and then adding the products together.

It is represented by the following equation:

$a\times (b+c) = a \times b +a\times c$ $\displaystyle a\times (b+c) = a \times b +a\times c$

Therefore, in this question:

$6 (x+ 20) = 6\times x +6\times20$ $\displaystyle 6 (x+ 20) = 6\times x +6\times20$

$\displaystyle 6x + 120$

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Example Question #1544 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve using the distributive property:

6(3+4)= $\displaystyle 6(3+4)=$

Possible Answers:

$\displaystyle 72$

$\displaystyle 42$

$\displaystyle 48$

$\displaystyle 24$

Correct answer:

$\displaystyle 42$

Explanation:

First multiply 6 by each number in parentheses:

6*3=18 $\displaystyle 6*3=18$

6*4=24 $\displaystyle 6*4=24$

Then solve equation: $\displaystyle 18+24=42$

Answer: $\displaystyle 42$

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Example Question #1545 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\displaystyle 10(x-y)=10x-10y$ , is this expression true under the distributive property?

Possible Answers:

True $\displaystyle True$

False $\displaystyle False$

Correct answer:

True $\displaystyle True$

Explanation:

The distributive property says that when a value is multiplied by a parentheses, you multiply the value be each value in the parentheses.

For this expression you do $\displaystyle 10$ times $\displaystyle x$ and also $\displaystyle -y$ giving you 10x-10y $\displaystyle 10x-10y$ .

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Example Question #1546 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is an equivalent expression to the following expression?

3x-15 $\displaystyle 3x-15$

Possible Answers:

3x(5) $\displaystyle 3x(5)$

3x(15) $\displaystyle 3x(15)$

3(3x-5) $\displaystyle 3(3x-5)$

3(x-5) $\displaystyle 3(x-5)$

x(5-3) $\displaystyle x(5-3)$

Correct answer:

3(x-5) $\displaystyle 3(x-5)$

Explanation:

For this expression, you can undue the distributive property and take out a common term instead.

They have a common factor of $\displaystyle 3$ so you can divide both by that value and put it outside a set of parantheses around the expression.

$3x-15=3\cdot1x-3\cdot 5$ $\displaystyle 3x-15=3\cdot1x-3\cdot 5$

Your final answer would look like this:

3(x-5) $\displaystyle 3(x-5)$ .

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Example Question #1546 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the mean in this set of numbers: $\displaystyle 216, 261, 204$

Possible Answers:

$\displaystyle 3$

216 $\displaystyle 216$

228 $\displaystyle 228$

227 $\displaystyle 227$

Correct answer:

227 $\displaystyle 227$

Explanation:

To solve , first add all the numbers in the set: $\displaystyle 216+261+204=681$

Then divide by the amount of numbers in the set: $681\div 3=227$ $\displaystyle 681\div 3=227$

Answer: The mean is 227 $\displaystyle 227$

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Example Question #1547 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve using the distributive property:

$\displaystyle 7(14+11)$

Possible Answers:

177 $\displaystyle 177$

175 $\displaystyle 175$

170 $\displaystyle 170$

180 $\displaystyle 180$

Correct answer:

175 $\displaystyle 175$

Explanation:

To solve, first multiply each number in parenthesis by 7:

7*14=98 $\displaystyle 7*14=98$

7*11=77 $\displaystyle 7*11=77$

Then, solve the equation: $\displaystyle 98+77=175$

Answer: 175 $\displaystyle 175$

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Example Question #1548 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve using the distributive property:

5(16+2) $\displaystyle 5(16+2)$

Possible Answers:

$\displaystyle 70$

$\displaystyle 13$

$\displaystyle 90$

$\displaystyle 23$

Correct answer:

$\displaystyle 90$

Explanation:

To solve: first multiply the number outside the brackets. 5*16=80 $\displaystyle 5*16=80$

Then multiply: 5*2=10 $\displaystyle 5*2=10$

Then add the products: $\displaystyle 80+10=90$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #1541 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1542 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1543 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #92 : How To Find The Distributive Property

Example Question #1544 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1545 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1546 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1546 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1547 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1548 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All ISEE Middle Level Math Resources

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