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ISEE Lower Level Quantitative : How to find the solution to an equation

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

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

What is the value of $\displaystyle x$ in the equation 5x-7=23 $\displaystyle 5x-7=23$ ?

Possible Answers:

$\frac{16}{5}$ $\displaystyle \frac{16}{5}$

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle 5$

Correct answer:

$\displaystyle 6$

Explanation:

In order to solve for $\displaystyle x$ , you will need to get it alone to one side.

5x-7=23 $\displaystyle 5x-7=23$

Start by adding $\displaystyle 7$ to both sides of the equation.

5x=30 $\displaystyle 5x=30$

Divide both sides by $\displaystyle 5$ .

x=6 $\displaystyle x=6$

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Example Question #42 : How To Find The Solution To An Equation

What is the value of $\displaystyle x$ in the equation $\displaystyle 10x-8=22$ ?

Possible Answers:

$\displaystyle 3$

$\frac{5}{2}$ $\displaystyle \frac{5}{2}$

$\displaystyle 6$

$\displaystyle 4$

Correct answer:

$\displaystyle 3$

Explanation:

To solve for $\displaystyle x$ , you will need to get it on its own on one side.

$\displaystyle 10x-8=22$

Start by adding $\displaystyle 8$ to both sides.

10x=30 $\displaystyle 10x=30$

Divide both sides by $\displaystyle 10$ .

x=3 $\displaystyle x=3$

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

What is the value of $\displaystyle x$ in the equation $\displaystyle 11x+10=32$ ?

Possible Answers:

$\displaystyle -2$

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 1$

Correct answer:

$\displaystyle 2$

Explanation:

To solve for $\displaystyle x$ , you will need to get it on its own on one side of the equation.

$\displaystyle 11x+10=32$

Start by subtracting both sides by $\displaystyle 10$ .

11x=22 $\displaystyle 11x=22$

Divide both sides by $\displaystyle 11$ .

x=2 $\displaystyle x=2$

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Example Question #44 : How To Find The Solution To An Equation

What is the value of $\displaystyle x$ in the equation $\displaystyle 4x-10=66$ ?

Possible Answers:

$\displaystyle 19$

$\displaystyle 16$

$\displaystyle 17$

$\displaystyle 15$

Correct answer:

$\displaystyle 19$

Explanation:

To solve for $\displaystyle x$ , you will need to get $\displaystyle x$ on one side of the equation on its own.

$\displaystyle 4x-10=66$

Start by adding $\displaystyle 10$ to both sides.

4x=76 $\displaystyle 4x=76$

Next, divide both sides by $\displaystyle 4$ .

x=19 $\displaystyle x=19$

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Example Question #45 : How To Find The Solution To An Equation

What is the value of $\displaystyle x$ in the equation $\frac{x}{4}-10=2$ $\displaystyle \frac{x}{4}-10=2$ ?

Possible Answers:

$\displaystyle 3$

$\displaystyle 45$

$\displaystyle 21$

$\displaystyle 48$

Correct answer:

$\displaystyle 48$

Explanation:

In order to solve for $\displaystyle x$ , you must isolate it on one side of the equation.

$\frac{x}{4}-10=2$ $\displaystyle \frac{x}{4}-10=2$

Start by adding $\displaystyle 10$ to both sides.

$\frac{x}{4}=12$ $\displaystyle \frac{x}{4}=12$

Multiply both sides of the equation by $\displaystyle 4$ .

x=48 $\displaystyle x=48$

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

What is the value of $\displaystyle x$ in the equation $\displaystyle 9x-14=40$ ?

Possible Answers:

$\displaystyle 3$

$\displaystyle 12$

$\displaystyle 6$

$\displaystyle 9$

Correct answer:

$\displaystyle 6$

Explanation:

In order to solve for $\displaystyle x$ , you will need to isolate it on one side of the equation.

$\displaystyle 9x-14=40$

Start by adding $\displaystyle 14$ to both sides.

9x=54 $\displaystyle 9x=54$

Divide both sides by $\displaystyle 9$ .

x=6 $\displaystyle x=6$

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Example Question #47 : How To Find The Solution To An Equation

What is the value of $\displaystyle x$ in the equation $\frac{x}{5}-2=2$ $\displaystyle \frac{x}{5}-2=2$ ?

Possible Answers:

$\displaystyle 25$

$\displaystyle 20$

$\displaystyle 15$

$\displaystyle 10$

Correct answer:

$\displaystyle 20$

Explanation:

In order to solve for $\displaystyle x$ , you will need to isolate it on its own on one side of the equation.

$\frac{x}{5}-2=2$ $\displaystyle \frac{x}{5}-2=2$

Start by adding $\displaystyle 2$ to both sides.

$\frac{x}{5}=4$ $\displaystyle \frac{x}{5}=4$

Multiply both sides by $\displaystyle 5$ .

x=20 $\displaystyle x=20$

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Example Question #48 : How To Find The Solution To An Equation

What is the value of $\displaystyle x$ in the equation $\frac{1}{3}x-10=1$ $\displaystyle \frac{1}{3}x-10=1$ ?

Possible Answers:

$\displaystyle 33$

$\displaystyle 24$

$\displaystyle 27$

$\displaystyle 30$

Correct answer:

$\displaystyle 33$

Explanation:

In order to solve for $\displaystyle x$ , you will need to isolate it on one side of the equation.

$\frac{1}{3}x-10=1$ $\displaystyle \frac{1}{3}x-10=1$

Start by adding $\displaystyle 10$ to both sides.

$\frac{1}{3}x=11$ $\displaystyle \frac{1}{3}x=11$

Multiply both sides of the equation by $\displaystyle 3$ .

x=33 $\displaystyle x=33$

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Example Question #49 : How To Find The Solution To An Equation

What is the value of $\displaystyle x$ in the equation $\frac{1}{7}x+1=8$ $\displaystyle \frac{1}{7}x+1=8$ ?

Possible Answers:

$\displaystyle 56$

$\displaystyle 70$

$\displaystyle 63$

$\displaystyle 49$

Correct answer:

$\displaystyle 49$

Explanation:

In order to solve for $\displaystyle x$ , you will need to isolate it on one side of the equation.

$\frac{1}{7}x+1=8$ $\displaystyle \frac{1}{7}x+1=8$

Start by subtracting $\displaystyle 1$ from both sides of the equation.

$\frac{1}{7}x=7$ $\displaystyle \frac{1}{7}x=7$

Multiply both sides by $\displaystyle 7$ .

x=49 $\displaystyle x=49$

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Example Question #50 : How To Find The Solution To An Equation

Solve for $\displaystyle x$ .

$\displaystyle 5 + x=12$

Possible Answers:

x=8 $\displaystyle x=8$

x=10 $\displaystyle x=10$

x=12 $\displaystyle x=12$

x=1 $\displaystyle x=1$

x=7 $\displaystyle x=7$

Correct answer:

x=7 $\displaystyle x=7$

Explanation:

To solve the problem, we must get $\displaystyle x$ alone.

So we must subtract $\displaystyle 5$ from each side.

This leaves us with

12-5=7 $\displaystyle 12-5=7$ .

Therefore,

x=7 $\displaystyle x=7$ .

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Lower Level Quantitative : How to find the solution to an equation

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

All ISEE Lower Level Quantitative Resources

Example Questions

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

Example Question #42 : How To Find The Solution To An Equation

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

Example Question #44 : How To Find The Solution To An Equation

Example Question #45 : How To Find The Solution To An Equation

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

Example Question #47 : How To Find The Solution To An Equation

Example Question #48 : How To Find The Solution To An Equation

Example Question #49 : How To Find The Solution To An Equation

Example Question #50 : How To Find The Solution To An Equation

All ISEE Lower Level Quantitative Resources

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