Undefined control sequence \dpi
Undefined control sequence \dpi
Undefined control sequence \dpi
Undefined control sequence \dpi
Undefined control sequence \dpi
Undefined control sequence \dpi
Undefined control sequence \dpi
Undefined control sequence \dpi

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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Example Questions

Example Question #1 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve the following equation.

\dpi{100} 3(2-5)= ?

Possible Answers:

\dpi{100} 9

\dpi{100} 6

\dpi{100} -9

\dpi{100} -6

Correct answer:

\dpi{100} -9

Explanation:

\dpi{100} 2-5=-3.

\dpi{100} 3\times -3=9

Example Question #1 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve

\displaystyle 4(6+3) - 9 =

Possible Answers:

\displaystyle 45

\displaystyle 26

\displaystyle 27

\displaystyle 28

\displaystyle 19

Correct answer:

\displaystyle 27

Explanation:

Use the distributive property to solve:

\displaystyle 4(6) + 4(3)= 36 - 9 = 27

Example Question #1 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Expand the expression.

\displaystyle (x+2)(3x-5)

Possible Answers:

\displaystyle 3x^{2}+x-3

\displaystyle 3x^{2}+x-10

\displaystyle 3x^{2}-x-10

\displaystyle 3x^{2}+11x+10

\displaystyle 3x^{2}-11x-10

Correct answer:

\displaystyle 3x^{2}+x-10

Explanation:

Use FOIL (first, outer, inner, last) to expand.

First: \displaystyle (x)(3x)= 3x^{2}

Outside: \displaystyle (x)(-5) = -5x

Inside: \displaystyle (2)(3x)=6x

Last: \displaystyle (2)(-5) =-10

Sum the four terms into one expression.

\displaystyle 3x^{2}-5x+6x-10

Simplify by combining like terms.

\displaystyle 3x^2+x-10

Example Question #2 : How To Find The Distributive Property

Simplify the expression:

\displaystyle 14x + 28 - 7x + 19

Possible Answers:

\displaystyle 7x - 47

\displaystyle 7x + 47

\displaystyle 54x

\displaystyle 7x + 9

\displaystyle 7x - 9

Correct answer:

\displaystyle 7x + 47

Explanation:

\displaystyle 14x + 28 - 7x + 19

\displaystyle =14x- 7x + 28 + 19

\displaystyle =\left (14- 7 \right )x + 28 + 19

\displaystyle =7x + 47

Example Question #3 : How To Find The Distributive Property

Simplify the expression:

\displaystyle 17x + 38 - 7x - 13

Possible Answers:

\displaystyle 10x - 51

\displaystyle 10x - 25

\displaystyle 10x + 51

\displaystyle 10x + 25

\displaystyle 250x

Correct answer:

\displaystyle 10x + 25

Explanation:

\displaystyle 17x + 38 - 7x - 13

\displaystyle =17x - 7x + 38 - 13

\displaystyle =\left (17 - 7 \right )x + 38 - 13

\displaystyle =10x + 25

Example Question #2 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Use the distributive property to expand:

\displaystyle (-x-2)(2x+3)

 

Possible Answers:

\displaystyle 2x^{2}-7x-6

\displaystyle -2x^{2}-x-6

\displaystyle -2x^{2}-7x-6

\displaystyle -2x^{2}+7x-6

Correct answer:

\displaystyle -2x^{2}-7x-6

Explanation:

Remember: FOIL (first, outer, inner, last) to expand.

F: \displaystyle (-x)(2x)= -2x^{2}

O: \displaystyle (-x)(3) = -3x

I: \displaystyle (-2)(2x)=-4x

L: \displaystyle (-2)(3) =-6

 

Now you have four terms:\displaystyle -2x^{2}-3x-4x-6

Simplify: \displaystyle -2x^{2}-7x-6

Example Question #1 : Distributive Property

Evaluate.

\displaystyle 25 - 2(3 \times 2)

Possible Answers:

\displaystyle 19

\displaystyle 22

None of the other answers.

\displaystyle 13

\displaystyle 23

Correct answer:

\displaystyle 13

Explanation:

When there is any number next to a set of parentheses the operation is multiplication of that number and anything inside of the parentheses.

Therefore, \displaystyle 2(3 \times 2) would be the same as  \displaystyle 2(6)\: \: [Since \: 3 \times 2 = 6]. The \displaystyle 2 would be multiplied by the \displaystyle 6 since \displaystyle 2(6) is the same as \displaystyle 2 \times 6.

The problem becomes \displaystyle 25 - 2 \times 6 and based on the order of operations the multiplication operation would be solved first. \displaystyle [2 \times 6 = 12]

It solves to \displaystyle 25 - 12 = 13.

Example Question #3 : Distributive Property

Choose the expression that correctly uses the distributive property to solve:

\displaystyle 5\times (12-8)

Possible Answers:

\displaystyle (5\times 12)-(5\times 8)

\displaystyle 5\times 12-8

\displaystyle (5\times 12)+(5\times 8)

\displaystyle (5+12)\times (5+8)

\displaystyle (5\times 12)-8

Correct answer:

\displaystyle (5\times 12)-(5\times 8)

Explanation:

To properly use the distributive property, multiple the first number by every number in parentheses:

\displaystyle (5\times 12)-(5\times 8)

Example Question #3 : How To Find The Distributive Property

Multiply:

\displaystyle -x(4x+7)

Possible Answers:

\displaystyle -4x^2-7x

\displaystyle -4x^2+7x

\displaystyle 4x^2-7x

\displaystyle 4x^2+7x

Correct answer:

\displaystyle -4x^2-7x

Explanation:

\displaystyle -x(4x+7)=(-x)(4x)+(-x)(7)=(-4x^2)+(-7x)=-4x^2-7x

Example Question #1 : How To Find The Distributive Property

Multiply:

\displaystyle (3+x)(2-4x)

Possible Answers:

\displaystyle 6+10x-4x^2

\displaystyle 6-10x-4x^2

\displaystyle 6-14x+4x^2

\displaystyle 6+14x+4x^2

Correct answer:

\displaystyle 6-10x-4x^2

Explanation:

Solve using the FOIL method:

First: \displaystyle (3)(2)=6

Outside: \displaystyle (3)(-4x)=-12x

Inside: \displaystyle (x)(2)=2x

Last: \displaystyle (x)(-4x)=-4x^2

Add together and combine like terms:

\displaystyle 6-12x+2x-4x^2=6-10x-4x^2

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