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ISEE Lower Level Math : Algebraic Concepts

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Example Questions

Example Question #161 : How To Find The Solution To An Equation

Which of the following makes this equation true:

2x-1=11 $\displaystyle 2x-1=11$

Possible Answers:

x=4 $\displaystyle x=4$

x=1 $\displaystyle x=1$

x=2 $\displaystyle x=2$

x=7 $\displaystyle x=7$

x=6 $\displaystyle x=6$

Correct answer:

x=6 $\displaystyle x=6$

Explanation:

To answer the question, we will solve for x. So, we get

2x-1=11 $\displaystyle 2x-1=11$

$\displaystyle 2x-1+1=11+1$

2x-0=12 $\displaystyle 2x-0=12$

2x=12 $\displaystyle 2x=12$

$\frac{2x}{2} = \frac{12}{2}$ $\displaystyle \frac{2x}{2} = \frac{12}{2}$

x=6 $\displaystyle x=6$

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Example Question #162 : How To Find The Solution To An Equation

Solve for y in the following equation:

9y+3=30 $\displaystyle 9y+3=30$

Possible Answers:

y=12 $\displaystyle y=12$

y=7 $\displaystyle y=7$

y=9 $\displaystyle y=9$

y=3 $\displaystyle y=3$

y=6 $\displaystyle y=6$

Correct answer:

y=3 $\displaystyle y=3$

Explanation:

To solve for y, we want y to stand alone. So, we get

9y+3=30 $\displaystyle 9y+3=30$

$\displaystyle 9y+3-3=30-3$

9y+0=27 $\displaystyle 9y+0=27$

9y=27 $\displaystyle 9y=27$

$\frac{9y}{9} = \frac{27}{9}$ $\displaystyle \frac{9y}{9} = \frac{27}{9}$

y=3 $\displaystyle y=3$

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Example Question #163 : How To Find The Solution To An Equation

Solve for $\displaystyle x$:

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

Possible Answers:

$\displaystyle 4$

$\displaystyle -3$

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle -2$

Correct answer:

$\displaystyle 4$

Explanation:

First add $\displaystyle 5$ to both sides of the equation:

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

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

Divide both sides by $\displaystyle 4$:

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

Reduce:

x=4 $\displaystyle x=4$

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Example Question #161 : Algebraic Concepts

If x is equal to 6 and y is equal is -2, what is the value of $\frac{y}{x}$ $\displaystyle \frac{y}{x}$?

Possible Answers:

$\displaystyle -3$

$-\frac{1}{3}$ $\displaystyle -\frac{1}{3}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\displaystyle 3$

Correct answer:

$-\frac{1}{3}$ $\displaystyle -\frac{1}{3}$

Explanation:

If x is equal to 6 and y is equal is -2, the value of $\frac{y}{x}$ $\displaystyle \frac{y}{x}$ can be solved by plugging in the values of x and y. This results in:

$\frac{-2}{6}=-\frac{1}{3}$

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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 #161 : How To Find The Solution To An Equation

Example Question #162 : How To Find The Solution To An Equation

Example Question #163 : How To Find The Solution To An Equation

Example Question #161 : Algebraic Concepts

All ISEE Lower Level Math Resources

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