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SSAT Middle Level Math : How to find the solution to an equation

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Example Questions

Example Question #61 : Algebra

Solve for :

-4 x - (-26) = -94

Possible Answers:

x =- 30

x = 30

x= -17

x= 17

Correct answer:

x = 30

Explanation:

-4 x - (-26) = -94

-4 x - (-26)+ (-26 ) = -94+ (-26 )

-4 x = - (94+26 )

-4 x = -120

$-4 x \div (-4 ) = -120 \div (-4 )$

$x=+( 120 \div 4 )$

x = 30

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Example Question #62 : Algebra

Solve for :

$- \frac{1}{7} y + (-8) = -15$

Possible Answers:

y = 49

y = -161

y = -49

y = 161

Correct answer:

y = 49

Explanation:

$- \frac{1}{7} y + (-8) = -15$

$- \frac{1}{7} y + (-8) - (-8) = -15 - (-8)$

$- \frac{1}{7} y = -15+8$

$- \frac{1}{7} y = -(15-8)$

$- \frac{1}{7} y = -7$

$- \frac{1}{7} y \div \left ( - \frac{1}{7} \right ) = -7 \div \left ( - \frac{1}{7} \right )$

$y = 7 \div \frac{1}{7}$

$y = 7 \cdot 7$

y = 49

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Example Question #63 : Algebra

Solve for :

-0.2 y + (-6.4) = - 2.7

Possible Answers:

y = -45.5

y = 18.5

y = -18.5

y= 45.5

Correct answer:

y = -18.5

Explanation:

-0.2 y + (-6.4) = - 2.7

-0.2 y + (-6.4) - (-6.4) = - 2.7 - (-6.4)

-0.2 y = - 2.7+6.4

-0.2 y =6.4 - 2.7

-0.2 y =3.7

$-0.2 y \div (-0.2) =3.7 \div (-0.2)$

$y = - (3.7 \div 0.2)$

To divide 3.7 by 0.2, move both decimal points one place to the right:

$y = -(37 \div 2 ) = -18.5$

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Example Question #64 : Algebra

Solve for :

-0.02 y + (-1.4) = - 4.7

Possible Answers:

y = -165

y = 305

y = 165

y = -305

Correct answer:

y = 165

Explanation:

-0.02 y + (-1.4) = - 4.7

-0.02 y + (-1.4) - (-1.4) = - 4.7 - (-1.4)

-0.02 y = - 4.7 +1.4

-0.02 y = - (4.7 -1.4)

-0.02 y = - 3.3

$-0.02 y \div (-0.02) = - 3.3 \div (-0.02)$

$y = 3.3 \div 0.02$

Divide by moving the decimal point in both expressions two places right:

$y = 330 \div 2 = 165$

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Example Question #65 : Algebra

2a = 3b = 66

Evaluate a + b .

Possible Answers:

Correct answer:

Explanation:

2a = 66

$2a \div 2 = 66 \div 2$

a = 33

3b = 66

$3b \div 66 = 66\div 3$

b = 22

a+b = 33 + 22 = 55

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Example Question #66 : Algebra

Solve for :

-0.4 y + (-16) = -6

Possible Answers:

y = 25

y = -55

y = 55

y = -25

Correct answer:

y = -25

Explanation:

-0.4 y + (-16) = -6

- 0.4 y + (-16) - (-16) = -6 - (-16)

-0.4 y = -6 +16

-0.4 y = + (16 -6 )

-0.4 y = 10

$- 0.4 y \div (- 0.4 )= 10 \div (- 0.4 )$

$y = - (10 \div 0.4)$

To divide, move the decimal point one unit right in each number, to yield the division:

$y = - (100 \div 4)$

y = -25

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Example Question #67 : Algebra

Solve for :

t= -2x - (-54)

Possible Answers:

x = - 2t+108

$x = - \frac{1}{2} t+27$

$x = - \frac{1}{2} t-27$

x = - 2t-108

Correct answer:

$x = - \frac{1}{2} t+27$

Explanation:

t= -2x - (-54)

t+ (-54) = -2x - (-54) + (-54)

t - 54 = -2x

$(t - 54) \cdot \left ( - \frac{1}{2}\right ) = -2x \cdot \left ( - \frac{1}{2}\right )$

$\left ( - \frac{1}{2}\right ) t - \left ( - \frac{1}{2}\right ) 54 = x$

$- \frac{1}{2} t - \left ( - 27 \right ) = x$

$- \frac{1}{2} t+27 = x$

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Example Question #68 : Algebra

Which of the following makes this equation true:

9x+4=76

Possible Answers:

x=8

x=9

x=6

x=4

x=7

Correct answer:

x=8

Explanation:

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

9x+4=76

9x+4-4=76-4

9x+0=72

9x=72

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

x=8

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Example Question #69 : Algebra

Solve for a in the following equation:

12a-5=67

Possible Answers:

a=9

a=4

a=8

a=7

a=6

Correct answer:

a=6

Explanation:

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

12a-5=67

12a-5+5=67+5

12a-0=72

12a=72

$\frac{12a}{12} = \frac{72}{12}$

a=6

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Example Question #70 : Algebra

Solve for .

0=5x+10

Possible Answers:

Correct answer:

Explanation:

In order to solve for x, you need to isolate the x on one side of the equal sign.

In order to do so, you need to first subtract 10 from both sides.

-10=5x

The next step is to divide both sides by 5, so the x is by itself.

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

$10\div-5=-2$ .

Therefore

x=-2

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SSAT Middle Level Math : How to find the solution to an equation

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #61 : Algebra

Example Question #62 : Algebra

Example Question #63 : Algebra

Example Question #64 : Algebra

Example Question #65 : Algebra

Example Question #66 : Algebra

Example Question #67 : Algebra

Example Question #68 : Algebra

Example Question #69 : Algebra

Example Question #70 : Algebra

All SSAT Middle Level Math Resources

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