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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

At the mall, Jason buys 2 pairs of jeans, costing $14 each, and a jacket. His total before tax is $42. How much does the jacket cost?

Possible Answers:

$14

$12

$20

$28

$10

Correct answer:

$14

Explanation:

The algebraic expression for the given information is:

$\displaystyle 2(14)+j=42$,

with 2*14 $\displaystyle 2*14$ representing the total cost for 2 pairs of jeans, and $\displaystyle j$ being the cost of the jacket.

28+j=42 $\displaystyle 28+j=42$

j=42-28 $\displaystyle j=42-28$

j=14 $\displaystyle j=14$

The jacket costs 14 dollars.

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Example Question #22 : How To Find The Solution To An Equation

Solve for $\displaystyle x$

4x-5=11 $\displaystyle 4x-5=11$

Possible Answers:

$\displaystyle 4$

$\displaystyle 16$

$\displaystyle -1$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\displaystyle 3$

Correct answer:

$\displaystyle 4$

Explanation:

First add 5 to both sides of the equation:

$\displaystyle 4x-5(+5)=11(+5)$

4x=16 $\displaystyle 4x=16$

Divide both sides by 4:

$\frac{4x}{4}=\frac{16}{4}$ $\displaystyle \frac{4x}{4}=\frac{16}{4}$

Reduce:

x=4 $\displaystyle x=4$

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Example Question #791 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Simplify

$\displaystyle 14x+3y-2x+4$

Possible Answers:

$\displaystyle 12x+3y+4$

12x+7y $\displaystyle 12x+7y$

$\displaystyle 16x+3y+4$

20x+3y $\displaystyle 20x+3y$

15xy+4 $\displaystyle 15xy+4$

Correct answer:

$\displaystyle 12x+3y+4$

Explanation:

Group like terms:

$\displaystyle (14x-2x)+3y+4$

Combine:

$\displaystyle 12x+3y+4$

Since nothing more can be combined, this is our answer.

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Example Question #24 : How To Find The Solution To An Equation

Which expression is equal to 15?

Possible Answers:

$4\times (8-5+3)$ $\displaystyle 4\times (8-5+3)$

$4\times 8-(5+3)$ $\displaystyle 4\times 8-(5+3)$

$(4\times 8)-5+3$ $\displaystyle (4\times 8)-5+3$

$4\times (8-5)+3$ $\displaystyle 4\times (8-5)+3$

Correct answer:

$4\times (8-5)+3$ $\displaystyle 4\times (8-5)+3$

Explanation:

Keep in mind the order of operations for this problem. Always start with parentheses. There are no exponents here, so then move to multiplication and division, and finally to addition and subtraction.

$\left ( 4\times 8 \right )-5+3=30$ $\displaystyle \left ( 4\times 8 \right )-5+3=30$

$4\times 8-\left ( 5+3 \right )=24$ $\displaystyle 4\times 8-\left ( 5+3 \right )=24$

$4\times \left ( 8-5+3 \right )=24$ $\displaystyle 4\times \left ( 8-5+3 \right )=24$

$4\times \left ( 8-5 \right )+3=15$ $\displaystyle 4\times \left ( 8-5 \right )+3=15$

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Example Question #24 : Equations

What is a reasonable estimate of $\frac{73\times 943}{25}$ $\displaystyle \frac{73\times 943}{25}$?

Possible Answers:

$\displaystyle 1700-2200$

$\displaystyle 2200-2600$

$\displaystyle 3100-3900$

$\displaystyle 2600-3100$

Correct answer:

$\displaystyle 2600-3100$

Explanation:

Since multiplication and division have an equal status within the order of operations, we can start by dividing two of the elements (we don't have to multiply $73\times 943$ $\displaystyle 73\times 943$). The first thing that should pop out is that $73\div 25$ $\displaystyle 73\div 25$ equals a little less than $\displaystyle 3$.

Now we can estimate a reasonable range by multiplying $\displaystyle 3$ by 900 $\displaystyle 900$ and 1000 $\displaystyle 1000$. That would give us an approximate range of $\displaystyle 2700-3000.$ This estimate falls right in the middle of $\displaystyle 2600-3100$, which is the correct answer.

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Example Question #25 : How To Find The Solution To An Equation

What is the value of

$20 \div 4 + 6 - 3^{2} + (2+2)^{2}-5\ ?$ $\displaystyle 20 \div 4 + 6 - 3^{2} + (2+2)^{2}-5\ ?$

Possible Answers:

$\displaystyle 3$

$\displaystyle 13$

$\displaystyle 31$

$\displaystyle 4$

Correct answer:

$\displaystyle 13$

Explanation:

Follow the order of operations for this problem:

parentheses: $20\div 4+6-3^{2}+4^{2}-5$ $\displaystyle 20\div 4+6-3^{2}+4^{2}-5$

exponents: $20\div 4+6-9+16-5$ $\displaystyle 20\div 4+6-9+16-5$

division and multiplication: $\displaystyle 5+6-9+16-5$

addition and subtraction: (now simply add and subtract from left to right!):

=13 $\displaystyle =13$

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Example Question #26 : Equations

Solve for $\displaystyle t$:

$\displaystyle t + 28 = -15$

Possible Answers:

t = -33 $\displaystyle t = -33$

t = -43 $\displaystyle t = -43$

t = 13 $\displaystyle t = 13$

t = -13 $\displaystyle t = -13$

t = 43 $\displaystyle t = 43$

Correct answer:

t = -43 $\displaystyle t = -43$

Explanation:

$\displaystyle t + 28 = -15$

$\displaystyle t + 28 - 28 = -15- 28$

$\displaystyle t = -15- 28 = -15 + (-28) = - (15+28) = -43$

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Example Question #27 : Equations

Solve for $\displaystyle N$:

$\displaystyle 2.4 N = 39$

Possible Answers:

$\displaystyle N = 12.25$

$\displaystyle N = 63.6$

$\displaystyle N = 16.25$

$\displaystyle N = 14.25$

$\displaystyle N = 93.6$

Correct answer:

$\displaystyle N = 16.25$

Explanation:

$\displaystyle 2.4 N = 39$

$2.4 N \div 2.4 = 39 \div 2.4$ $\displaystyle 2.4 N \div 2.4 = 39 \div 2.4$

$N= 39 \div 2.4$ $\displaystyle N= 39 \div 2.4$

To divide, move the decimal point in both numbers right one place to make the divisor whole.

$N= 390 \div 24$ $\displaystyle N= 390 \div 24$

$\displaystyle N = 16.25$

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Example Question #28 : Equations

Solve for $\displaystyle y$ :

$\displaystyle y - 34 = -19$

Possible Answers:

y = 53 $\displaystyle y = 53$

y =- 15 $\displaystyle y =- 15$

y = 15 $\displaystyle y = 15$

y = -33 $\displaystyle y = -33$

y=-53 $\displaystyle y=-53$

Correct answer:

y = 15 $\displaystyle y = 15$

Explanation:

$\displaystyle y - 34 = -19$

$\displaystyle y - 34 +34= -19+34$

$\displaystyle y = -19+34 = + (34-19) = 15$

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Example Question #792 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve for $\displaystyle x$.

$-3x^{2}+5x-10=18$ $\displaystyle -3x^{2}+5x-10=18$

Possible Answers:

$\displaystyle 3$

$\displaystyle -4$

$\displaystyle -5$

$\displaystyle 4$

Correct answer:

$\displaystyle -4$

Explanation:

$-3(-4)^{2}+5(-4)-10=18$ $\displaystyle -3(-4)^{2}+5(-4)-10=18$

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

All ISEE Lower Level Math Resources

Example Questions

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

Example Question #22 : How To Find The Solution To An Equation

Example Question #791 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #24 : How To Find The Solution To An Equation

Example Question #24 : Equations

Example Question #25 : How To Find The Solution To An Equation

Example Question #26 : Equations

Example Question #27 : Equations

Example Question #28 : Equations

Example Question #792 : Isee Lower Level (Grades 5 6) Mathematics Achievement

All ISEE Lower Level Math Resources

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