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ISEE Lower Level Math : Algebraic Concepts

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 #1 : How To Find The Solution To An Equation

Determine the value of $\dpi{100} x$ .

$\dpi{100} \small 3x+4=19$

Possible Answers:

$\dpi{100} 2$

$\dpi{100} 3$

$\dpi{100} 5$

$\dpi{100} 4$

Correct answer:

$\dpi{100} 5$

Explanation:

Find which answer makes the equation true.

$\dpi{100} 3(5)+4=19$

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Example Question #2 : How To Find The Solution To An Equation

Simplify

$\dpi{100} 2x+10-5+6x$

Possible Answers:

$\dpi{100} 2x+11$

$\dpi{100} 2x-11$

$\dpi{100} 8x+5$

$\dpi{100} 8x-5$

Correct answer:

$\dpi{100} 8x+5$

Explanation:

Combine the $\dpi{100} 2x$ and the $\dpi{100} 6x$ to get $\dpi{100} 8x$

$\dpi{100} 10-5=5$

$\dpi{100} 8x+5$

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Example Question #2 : How To Find The Solution To An Equation

Determine the value of

-4x - 6 = 14

Possible Answers:

Correct answer:

Explanation:

-4(-5) - 6 = 14

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Example Question #3 : How To Find The Solution To An Equation

Simplify

4x - 5 + 3 - 7x

Possible Answers:

11x -2

11x +8

3x + 2

-3x-2

-3x+2

Correct answer:

-3x-2

Explanation:

Combine like terms:

4x - 7x = -3x

-5 + 3 = -2

So -3x -2

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Example Question #5 : How To Find The Solution To An Equation

Solve for :

3x+12=24

Possible Answers:

Correct answer:

Explanation:

First subtract 12 from both sides

3x+12-12=24-12

3x=12

Now divide both sides by 3.

3x/3=12/3

x=4

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Example Question #4 : How To Find The Solution To An Equation

Solve for :
4x-17=3

Possible Answers:

Correct answer:

Explanation:

First add to both sides

4x-17+17=3+17

4x=20

Now divide both sides by

4x/4=20/4

x=5

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Example Question #4 : How To Find The Solution To An Equation

Determine the value of

5x + 7 = 17

Possible Answers:

Correct answer:

Explanation:

5(2) + 7 = 17

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Example Question #5 : How To Find The Solution To An Equation

Solve for .

6x-9=9

Possible Answers:

Correct answer:

Explanation:

Replace the variable so the equation is correct.

6(3)-9=9

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Example Question #7 : Algebraic Concepts

Solve for .

5(6+8x) = -10

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

Find the anwer for which makes the equation true:

5(6+8(-1))=-10

30-40=-10

-10=-10

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Example Question #8 : How To Find The Solution To An Equation

Evaluate the expression if x=7 .

$2x^{2}+4x-15$

Possible Answers:

209

112

111

Correct answer:

111

Explanation:

$2x^{2}+4x-15$

To solve, insert 7 for each .

When solving this part of the equation, remember the order of operations (PEMDAS) and square the number in the parentheses BEFORE multiplying by 2.

$2(7)^{2}+4(7)-15$

2(49)+28-15

98+28-15=111

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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 #1 : How To Find The Solution To An Equation

Example Question #2 : How To Find The Solution To An Equation

Example Question #2 : How To Find The Solution To An Equation

Example Question #3 : How To Find The Solution To An Equation

Example Question #5 : How To Find The Solution To An Equation

Example Question #4 : How To Find The Solution To An Equation

Example Question #4 : How To Find The Solution To An Equation

Example Question #5 : How To Find The Solution To An Equation

Example Question #7 : Algebraic Concepts

Example Question #8 : How To Find The Solution To An Equation

All ISEE Lower Level Math Resources

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