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ISEE Lower Level Math : Algebraic Concepts

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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 #41 : How To Find The Solution To An Equation

Solve for :

3t+2=8

Possible Answers:

$t=\frac{10}{3}$

t=2

t=30

t=1

Correct answer:

t=2

Explanation:

3t+2=8

3t+2-2=8-2

3t=6

$\frac{3t}{3}=\frac{6}{3}$

t=2

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Example Question #41 : Equations

Solve for :

4n=10

Possible Answers:

$n=\frac{5}{2}$

n=2

n=3

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

Correct answer:

$n=\frac{5}{2}$

Explanation:

4n=10

$\frac{4n}{4}=\frac{10}{4}$

$n=\frac{10}{4}=\frac{5}{2}$

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Example Question #43 : How To Find The Solution To An Equation

Solve for :

3q+1=7

Possible Answers:

q=1

q=2

q=0

q=3

Correct answer:

q=2

Explanation:

3q+1=7

3q+1-1=7-1

3q=6

$\frac{3q}{3}=\frac{6}{3}$

q=2

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Example Question #42 : Equations

Solve for .

$\frac{7}{x}=2$

Possible Answers:

x=2

x=3

x=3.5

x=2.5

Correct answer:

x=3.5

Explanation:

$\frac{7}{x}=2$

$(x) \frac{7}{x}=2(x)$

7=2x

$\frac{7}{2}=3.5=x$

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Example Question #43 : Equations

Solve for .

s-4=4

Possible Answers:

s=4

s=0

s=8

s=2

Correct answer:

s=8

Explanation:

s-4=4

s-4+4=4+4

s=8

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Example Question #44 : Equations

What is the value of ?

x+5-23=71

Possible Answers:

Correct answer:

Explanation:

To solve for , one should isolate the variable on one side of the equation.

First, cancel out the by adding it to both sides.

x+5=71+23

Then, cancel out the five by subtracting it from both sides.

x=71+23-5

71+23-5= 89

Therefore, x=89 .

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Example Question #46 : How To Find The Solution To An Equation

If 5+x=14 and 17+y=24 , then what is x+y ?

Possible Answers:

Correct answer:

Explanation:

To determine the sum of x+y , one must first determine the value of each variable.

First, let's solve for :

5+x=14

x=14-5

Therefore, x=9 .

Next, solve for :

17+y=24

y=24-17

Therefore, y=7 .

Finally, add the values of and .

9+7=16

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Example Question #44 : Equations

Solve for $\dpi{100} t$ .

$\dpi{100} 7t-12=51$

Possible Answers:

$\dpi{100} t=10$

$\dpi{100} t=8$

$\dpi{100} t=9$

t=6

$\dpi{100} t=7$

Correct answer:

$\dpi{100} t=9$

Explanation:

$\dpi{100} 7(9)-12=51$

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Example Question #45 : Equations

There are 4 boxes with 12 concert posters in each box. Which expression shows how many posters there are?

Possible Answers:

$12\div 4=p$

12-4=p

$4\times 12=p$

$12\times 12=p$

4+12=p

Correct answer:

$4\times 12=p$

Explanation:

Since there are 4 boxes with 12 posters in each box, you must multiply 4 by 12 to get the number of posters.

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Example Question #47 : Equations

What is the sum of 2.16 and 3.8 ?

Possible Answers:

5.96

5.9

1.64

5.16

3.96

Correct answer:

5.96

Explanation:

Taking the sum is to add, so we are solving for 2.16 + 3.8 .

We will need to add in columns, starting with the tenths position. Remember that you can add a zero to the end of a decimal to fill the position.

$\begin{matrix} & 2.16\\ + & 3.80\\ \end{matrix}$

Add down the columns.

$\begin{matrix} & 2.16\\ + & 3.80\\ & 5.96 \end{matrix}$

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Algebraic Concepts

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #41 : How To Find The Solution To An Equation

Example Question #41 : Equations

Example Question #43 : How To Find The Solution To An Equation

Example Question #42 : Equations

Example Question #43 : Equations

Example Question #44 : Equations

Example Question #46 : How To Find The Solution To An Equation

Example Question #44 : Equations

Example Question #45 : Equations

Example Question #47 : Equations

All ISEE Lower Level Math Resources

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