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ISEE Lower Level Math : Algebraic Concepts

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

Example Questions

Example Question #1 : Equations

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

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

Possible Answers:

$\dpi{100} 3$ $\displaystyle \dpi{100} 3$

$\dpi{100} 4$ $\displaystyle \dpi{100} 4$

$\dpi{100} 2$ $\displaystyle \dpi{100} 2$

$\dpi{100} 5$ $\displaystyle \dpi{100} 5$

Correct answer:

$\dpi{100} 5$ $\displaystyle \dpi{100} 5$

Explanation:

Find which answer makes the equation true.

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

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Example Question #2 : Equations

Simplify

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

Possible Answers:

$\dpi{100} 8x-5$ $\displaystyle \dpi{100} 8x-5$

$\dpi{100} 8x+5$ $\displaystyle \dpi{100} 8x+5$

$\dpi{100} 2x+11$ $\displaystyle \dpi{100} 2x+11$

$\dpi{100} 2x-11$ $\displaystyle \dpi{100} 2x-11$

Correct answer:

$\dpi{100} 8x+5$ $\displaystyle \dpi{100} 8x+5$

Explanation:

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

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

$\dpi{100} 8x+5$ $\displaystyle \dpi{100} 8x+5$

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Example Question #3 : Equations

Determine the value of $\displaystyle x$

$\displaystyle -4x - 6 = 14$

Possible Answers:

$\displaystyle 5$

$\displaystyle 20$

$\displaystyle 6$

$\displaystyle -5$

$\displaystyle -4$

Correct answer:

$\displaystyle -5$

Explanation:

$\displaystyle -4(-5) - 6 = 14$

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Example Question #4 : Equations

Simplify

$\displaystyle 4x - 5 + 3 - 7x$

Possible Answers:

11x -2 $\displaystyle 11x -2$

-3x-2 $\displaystyle -3x-2$

-3x+2 $\displaystyle -3x+2$

11x +8 $\displaystyle 11x +8$

3x + 2 $\displaystyle 3x + 2$

Correct answer:

-3x-2 $\displaystyle -3x-2$

Explanation:

Combine like terms:

$\displaystyle 4x - 7x = -3x$

$\displaystyle -5 + 3 = -2$

So -3x -2 $\displaystyle -3x -2$

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

Solve for $\displaystyle x$:

$\displaystyle 3x+12=24$

Possible Answers:

$\displaystyle 9$

$\displaystyle 4$

$\displaystyle 7$

$\displaystyle 3$

$\displaystyle 2$

Correct answer:

$\displaystyle 4$

Explanation:

First subtract 12 from both sides

$\displaystyle 3x+12-12=24-12$

3x=12 $\displaystyle 3x=12$

Now divide both sides by 3.

$\displaystyle 3x/3=12/3$

x=4 $\displaystyle x=4$

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

Solve for $\displaystyle x$:
4x-17=3 $\displaystyle 4x-17=3$

Possible Answers:

$\displaystyle 4$

$\displaystyle 3$

$\displaystyle -3$

$\displaystyle 5$

$\displaystyle 6$

Correct answer:

$\displaystyle 5$

Explanation:

First add $\displaystyle 17$ to both sides

$\displaystyle 4x-17+17=3+17$

4x=20 $\displaystyle 4x=20$

Now divide both sides by $\displaystyle 4$

$\displaystyle 4x/4=20/4$

x=5 $\displaystyle x=5$

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Example Question #5 : Equations

Determine the value of $\displaystyle x$

$\displaystyle 5x + 7 = 17$

Possible Answers:

$\displaystyle 7$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 5$

Correct answer:

$\displaystyle 2$

Explanation:

$\displaystyle 5(2) + 7 = 17$

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Example Question #6 : Equations

Solve for $\displaystyle x$.

6x-9=9 $\displaystyle 6x-9=9$

Possible Answers:

$\displaystyle -9$

$\displaystyle 15$

$\displaystyle -3$

$\displaystyle 3$

$\displaystyle 18$

Correct answer:

$\displaystyle 3$

Explanation:

Replace the variable $\displaystyle x$ so the equation is correct.

$\displaystyle 6(3)-9=9$

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

Solve for $\displaystyle x$.

$\displaystyle 5(6+8x) = -10$

Possible Answers:

$\displaystyle 40$

$\displaystyle 2$

$\displaystyle 5$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\displaystyle -1$

Correct answer:

$\displaystyle -1$

Explanation:

Find the anwer for $\displaystyle x$which makes the equation true:

$\displaystyle 5(6+8(-1))=-10$

$\displaystyle 30-40=-10$

-10=-10 $\displaystyle -10=-10$

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Example Question #9 : How To Find The Solution To An Equation

Evaluate the expression if x=7 $\displaystyle x=7$.

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

Possible Answers:

$\displaystyle 44$

111 $\displaystyle 111$

$\displaystyle 41$

209 $\displaystyle 209$

112 $\displaystyle 112$

Correct answer:

111 $\displaystyle 111$

Explanation:

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

To solve, insert 7 for each $\displaystyle x$.

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

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

$\displaystyle 2(49)+28-15$

$\displaystyle 98+28-15=111$

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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 : Equations

Example Question #2 : Equations

Example Question #3 : Equations

Example Question #4 : Equations

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

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

Example Question #5 : Equations

Example Question #6 : Equations

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

Example Question #9 : How To Find The Solution To An Equation

All ISEE Lower Level Math Resources

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