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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

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Example Question #151 : Equations

Solve for a in the following equation:

a + 6 = 10

Possible Answers:

a=5

a=6

a=10

a=4

a=16

Correct answer:

a=4

Explanation:

To solve for a, we want a to stand alone. So, in the equation

a + 6 = 10

we will need to move the 6. To move it, we need to cancel it. Right now, 6 is being added to a. To cancel it, we need to subtract 6.

If we subtract 6 from the left side of the equal sign, we need to subtract 6 from the right side of the equal sign. So, we get

a+6-6=10-6

a+0=4

a=4

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Example Question #151 : Equations

Solve for g in the following equation:

g-6=5

Possible Answers:

g=11

g=1

g=5

g=6

g=4

Correct answer:

g=11

Explanation:

To solve for g, we want g to stand alone. So, in the equation

g-6=5

we need to move the 6. To move it, we need to cancel it. Right now, 6 is being subtracted from g. To cancel it out, we need to add 6.

If we add 6 to the left side of the equal sign, we need to add 6 to the right side of the equal sign. So, we get

g-6+6=5+6

g-0=11

g=11

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Example Question #153 : Equations

Solve for x in the following equation:

x+1=10

Possible Answers:

x=1

x=11

x=9

x=10

x=8

Correct answer:

x=9

Explanation:

To solve for x, we want x to stand alone. So, in the equation

x+1=10

we want to move the 1. To move it, we need to cancel it. Right now, 1 is being added to x. To cancel it, we need to subtract 1.

If we subtract 1 from the left side of the equation, we need to subtract 1 from the right side of the equation. So, we get

x+1-1=10-1

x+0=9

x=9

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Example Question #154 : Equations

Solve for j in the following equation:

j-7=12

Possible Answers:

j=7

j=12

j=19

j=5

j=15

Correct answer:

j=19

Explanation:

To solve for j, we want j to stand alone. So, in the problem

j-7=12

we want to move the 7. To move it, we need to cancel it. Right now, j is being subtracted by 7. So, to cancel it, we will need to add 7.

If we add 7 on the left side of the equal sign, we need to add 7 on the right side of the equal sign. So, we get

j-7+7=12+7

j-0=19

j=19

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Example Question #155 : Equations

Solve for x in the following equation:

x+14=21

Possible Answers:

x=34

x=9

x=7

x=8

x=35

Correct answer:

x=7

Explanation:

To solve for x, we want x to stand alone. So, we will solve by doing the following:

x+14=21

x+14-14=21-14

x+0=7

x=7

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Example Question #156 : Equations

Which of the following answers makes this equation true:

x-9=4

Possible Answers:

x=13

x=10

x=14

x=5

x=11

Correct answer:

x=13

Explanation:

To see which answer is true, we will just solve for x. We get

x-9=4

x-9+9=4+9

x-0=13

x=13

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Example Question #157 : Equations

Which of the following make this equation true:

5x-1=9

Possible Answers:

x=10

x=4

x=3

x=2

x=8

Correct answer:

x=2

Explanation:

To see which is true, we will solve for x. So, given the equation

5x-1=9

5x-1+1=9+1

5x-0=10

5x=10

$\frac{5x}{5} = \frac{10}{5}$

x=2

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Example Question #158 : Equations

Solve for y in the following:

6y+3=21

Possible Answers:

y=4

y=2

y=6

y=7

y=3

Correct answer:

y=3

Explanation:

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

6y+3=21

6y+3-3=21-3

6y+0=18

6y=18

$\frac{6y}{6} = \frac{18}{6}$

y=3

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Example Question #151 : How To Find The Solution To An Equation

Which of the following makes this equation true:

9y=72

Possible Answers:

y=9

y=8

y=5

y=6

y=7

Correct answer:

y=8

Explanation:

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

9y=72

$\frac{9y}{9} = \frac{72}{9}$

y=8

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Example Question #160 : Equations

Solve for z in the following equation:

$\frac{z}{8} = 7$

Possible Answers:

z=1

z=15

z=32

z=56

z=42

Correct answer:

z=56

Explanation:

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

$\frac{z}{8} = 7$

$\frac{z}{8} \cdot 8 = 7 \cdot 8$

z = 56

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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 #151 : Equations

Example Question #151 : Equations

Example Question #153 : Equations

Example Question #154 : Equations

Example Question #155 : Equations

Example Question #156 : Equations

Example Question #157 : Equations

Example Question #158 : Equations

Example Question #151 : How To Find The Solution To An Equation

Example Question #160 : Equations

All ISEE Lower Level Math Resources

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