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

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 #31 : How To Find The Solution To An Equation

Solve when t=-3 $\displaystyle t=-3$ .

$2t^{2}-7t+4=$ $\displaystyle 2t^{2}-7t+4=$

Possible Answers:

Correct answer:

Explanation:

$2(-3)^{2}-7(-3)+4=$ $\displaystyle 2(-3)^{2}-7(-3)+4=$

$\displaystyle 2(9)+21+4=43$

The solution is 43.

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Example Question #32 : How To Find The Solution To An Equation

Simplify.

$4x^{2}-2+5x-8x^{2}-11$ $\displaystyle 4x^{2}-2+5x-8x^{2}-11$

Possible Answers:

$-4x^{2}+5x-13$ $\displaystyle -4x^{2}+5x-13$

$12x^{2}+5x-13$ $\displaystyle 12x^{2}+5x-13$

$-4x^{2}+5x+13$ $\displaystyle -4x^{2}+5x+13$

$4x^{2}+5x-13$ $\displaystyle 4x^{2}+5x-13$

Correct answer:

$-4x^{2}+5x-13$ $\displaystyle -4x^{2}+5x-13$

Explanation:

When simplifying an expression, you must combine like terms. There are three types of terms in this expression, but only two that need to be combined: “ $x^{2}$ $\displaystyle x^{2}$ ” and whole numbers. Combine in two steps:

$x^{2}$ $\displaystyle x^{2}$ : $4x^{2}-8x^{2}=-4x^{2}$ $\displaystyle 4x^{2}-8x^{2}=-4x^{2}$

whole numbers: $\displaystyle -2-11=-13$

Put them all together. Don't forget the $\displaystyle 5x$ !

The simplified expression is: $-4x^{2}+5x-13$ $\displaystyle -4x^{2}+5x-13$

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Example Question #32 : How To Find The Solution To An Equation

Solve for $\displaystyle x$ .

7+x=14 $\displaystyle 7+x=14$

Possible Answers:

x=3 $\displaystyle x=3$

x=2 $\displaystyle x=2$

x=21 $\displaystyle x=21$

x=7 $\displaystyle x=7$

Correct answer:

x=7 $\displaystyle x=7$

Explanation:

7+x=14 $\displaystyle 7+x=14$

Subtract 7 from both sides.

$\displaystyle 7+x-7=14-7$

x=7 $\displaystyle x=7$

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Example Question #33 : How To Find The Solution To An Equation

Solve for $\displaystyle p$ .

8-p=4 $\displaystyle 8-p=4$

Possible Answers:

p=4 $\displaystyle p=4$

p=1 $\displaystyle p=1$

p=12 $\displaystyle p=12$

p=2 $\displaystyle p=2$

Correct answer:

p=4 $\displaystyle p=4$

Explanation:

8-p=4 $\displaystyle 8-p=4$

Add $\displaystyle p$ to both sides.

$\displaystyle 8-p+p=4+p$

8=4+p $\displaystyle 8=4+p$

Subtract $\displaystyle 4$ from both sides.

$\displaystyle 8-4=4+p-4$

4=p $\displaystyle 4=p$

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Example Question #33 : How To Find The Solution To An Equation

Solve for $\displaystyle e$ .

e+3=11 $\displaystyle e+3=11$

Possible Answers:

e=14 $\displaystyle e=14$

$e=\frac{11}{3}$ $\displaystyle e=\frac{11}{3}$

$e=\frac{3}{11}$ $\displaystyle e=\frac{3}{11}$

e=8 $\displaystyle e=8$

Correct answer:

e=8 $\displaystyle e=8$

Explanation:

e+3=11 $\displaystyle e+3=11$

Subtract 3 from both sides.

$\displaystyle e+3-3=11-3$

e=8 $\displaystyle e=8$

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Example Question #34 : How To Find The Solution To An Equation

Solve for $\displaystyle j$ .

j-4=2 $\displaystyle j-4=2$

Possible Answers:

j=6 $\displaystyle j=6$

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

j=-2 $\displaystyle j=-2$

j=2 $\displaystyle j=2$

Correct answer:

j=6 $\displaystyle j=6$

Explanation:

j-4=2 $\displaystyle j-4=2$

Add 4 to each side.

$\displaystyle j-4+4=2+4$

j=6 $\displaystyle j=6$

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Example Question #805 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve for $\displaystyle t$ .

12-t=6 $\displaystyle 12-t=6$

Possible Answers:

t=18 $\displaystyle t=18$

t=2 $\displaystyle t=2$

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

t=6 $\displaystyle t=6$

Correct answer:

t=6 $\displaystyle t=6$

Explanation:

12-t=6 $\displaystyle 12-t=6$

Add $\displaystyle t$ to each side.

$\displaystyle 12-t+t=6+t$

12=6+t $\displaystyle 12=6+t$

Subtract 6 from each side.

$\displaystyle 12-6=6+t-6$

6=t $\displaystyle 6=t$

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Example Question #35 : How To Find The Solution To An Equation

Solve for $\displaystyle x$ :

x+2=5 $\displaystyle x+2=5$

Possible Answers:

x=1 $\displaystyle x=1$

x=2 $\displaystyle x=2$

x=3 $\displaystyle x=3$

x=0 $\displaystyle x=0$

Correct answer:

x=3 $\displaystyle x=3$

Explanation:

x+2=5 $\displaystyle x+2=5$

$\displaystyle x+2-2=5-2$

x=3 $\displaystyle x=3$

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Example Question #36 : How To Find The Solution To An Equation

Solve for $\displaystyle n$ :

$\frac{n}{4}=3$ $\displaystyle \frac{n}{4}=3$

Possible Answers:

n=1 $\displaystyle n=1$

n=12 $\displaystyle n=12$

$n=\frac{3}{4}$ $\displaystyle n=\frac{3}{4}$

n=7 $\displaystyle n=7$

Correct answer:

n=12 $\displaystyle n=12$

Explanation:

$\frac{n}{3}=4$ $\displaystyle \frac{n}{3}=4$

$\frac{n}{3}\times3=4\times3$ $\displaystyle \frac{n}{3}\times3=4\times3$

n=12 $\displaystyle n=12$

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Example Question #37 : How To Find The Solution To An Equation

Solve for $\displaystyle p$ :

6p=2 $\displaystyle 6p=2$

Possible Answers:

p=8 $\displaystyle p=8$

p=4 $\displaystyle p=4$

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

p=12 $\displaystyle p=12$

Correct answer:

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

Explanation:

6p=2 $\displaystyle 6p=2$

$\frac{6p}{6}=\frac{2}{6}$ $\displaystyle \frac{6p}{6}=\frac{2}{6}$

$p=\frac{2}{6}=\frac{1}{3}$ $\displaystyle p=\frac{2}{6}=\frac{1}{3}$

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All ISEE Lower Level Math Resources

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

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #31 : How To Find The Solution To An Equation

Example Question #32 : How To Find The Solution To An Equation

Example Question #32 : How To Find The Solution To An Equation

Example Question #33 : How To Find The Solution To An Equation

Example Question #33 : How To Find The Solution To An Equation

Example Question #34 : How To Find The Solution To An Equation

Example Question #805 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #35 : How To Find The Solution To An Equation

Example Question #36 : How To Find The Solution To An Equation

Example Question #37 : How To Find The Solution To An Equation

All ISEE Lower Level Math Resources

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